Circular polarization as a probe of cloud properties and asymmetries in giant exoplanet atmospheres

M. B. Michaelis; S. Wolf

REVIEW 3 major objections 4 minor 137 references

Circular polarization as a probe of cloud properties and asymmetries in giant exoplanet atmospheres

T0 review · 3 major / 4 minor · reviewed 2026-08-06 · deepseek-v4-flash

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Pith's one-line read The circular polarization of starlight reflected by giant exoplanets is a diagnostic of cloud particle composition and of stable atmospheric asymmetries, with distinct signatures for absorbing versus transparent cloud materials.

desk verdict A careful first mapping of exoplanet circular polarization phase curves with an honest discussion of limitations; the main soft spot is a numerical inconsistency and the shape dependence of the predicted diagnostics. read the letter →

arxiv 2608.04837 v1 pith:HOR3EUMO submitted 2026-08-05 astro-ph.EP astro-ph.IM

M. B. Michaelis , S. Wolf This is my paper

classification astro-ph.EPastro-ph.IM

keywords circularpolarizationexoplanetatmospherescloudparticlesMiescatteringradiativetransferpolarimetryphasecurvesgiantplanets

verification ladder T0 review T1 audit T2 compute T3 formal

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The reading

Circular polarization of reflected starlight is normally zero for a symmetric planet, because the two hemispheres produce opposite handedness that cancels in disk-integrated light. This paper argues that when a stable asymmetry breaks that symmetry, the residual circular polarization of an unresolved giant exoplanet carries usable information about the clouds: whether the cloud particles strongly absorb or barely absorb light, and on which side of the planet an asymmetry such as a circumplanetary ring sits. Using Mie-scattering optical properties for 20 condensates and Monte Carlo radiative transfer, the authors identify two regimes. For strongly absorbing particles with a large imaginary refractive index $k$, the signal is dominated by gas-then-cloud double scattering and shows a characteristic wavelength-dependent handedness switch $\lambda_g$; for nearly transparent particles with small $k$, it is dominated by cloud-cloud double scattering and yields a predictable phase curve with a single sign change near phase angles of $90^\circ$ to $100^\circ$. The predicted degree of circular polarization is only a few parts in $10^4$ of the reflected intensity, so the observational case rests on future high-precision polarimetry and coronagraphic observations.

What carries the argument

The load-bearing object is a second-scattering-order model of a plane-parallel, semi-infinite, homogeneous planetary atmosphere. Because the scattering matrix element $F_{14}$ vanishes for Rayleigh and Mie particles, circular polarization first appears at the second scattering order; the model computes the Stokes vector of radiation scattered twice, weighted by the planetary geometry function $P(\theta,\theta_1,\phi_1)$ and its antisymmetric part $P'$, splitting the result into contributions $S_{2,ij}$ for scattering first by species $i$ and then by species $j$. The two geometric paths that matter are forward scattering after an initial near-observer-directed scattering and backward scattering after an initial away-from-observer scattering; their interplay with features of $F_{34}/F_{11}$ and the single-scattering linear polarization $P_s=-F_{12}/F_{11}$ generates the predicted phase curves. The same framework is then checked against full Monte Carlo radiative transfer including all scattering orders.

What would settle it

Measure the disk-integrated circular polarization of a transiting hot Jupiter with a known cloud condensate across phase angles $30^\circ$ to $150^\circ$ at optical wavelengths with precision near $10^{-5}$: for a low-$k$ condensate the model predicts exactly one sign change in $P_c$ between $90^\circ$ and $100^\circ$ phase, so observing two sign changes, no sign change, or a sign change far outside that interval would falsify the low-$k$ branch. A laboratory measurement of $F_{34}/F_{11}$ for irregular particles of the same material could likewise falsify the spherical-particle prediction.

Watch

Extended reading notes

Core claim

Starlight reflected by a giant exoplanet becomes circularly polarized through double scattering: a first scattering creates linear polarization, and a second scattering by cloud particles converts part of it into circular polarization. The paper's central claim is that the sign and phase-angle dependence of the resulting $P_c$ are controlled by the cloud material's complex refractive index. For materials with large imaginary part $k$ such as graphite, iron, FeS, FeO, Fe$_2$O$_3$, and chromium, the dominant path is scattering first by H$_2$ molecules and then by cloud particles; these clouds produce distinct circular-polarization phase curves whose handedness changes at a material- and phase-dependent wavelength $\lambda_g$. For materials with small $k$ such as water ice, ammonia, KCl, and silicates, cloud-cloud double scattering dominates and the phase curve is highly predictable, with a single sign change between $90^\circ$ and $100^\circ$ phase. The authors conclude that $P_c$ is therefore sensitive to cloud particle composition and to large-scale asymmetries, that the low-$k$ behavior allows the asymmetry itself to be characterized, and that the signals are subtle, at most a few $10^{-4}$ of the reflected intensity.

Load-bearing premise

The central calculations assume cloud particles are spherical, homogeneous, solid grains with a fixed gamma size distribution of 1 micrometer effective radius; nonspherical or aggregate particles could flip the sign of the linear polarization and thereby change or erase the predicted circular-polarization features.

Editorial extensions

If this is right

For strongly absorbing cloud materials, circular polarization can lift degeneracies left by linear polarimetry and albedo: graphite, FeS, and Fe$_2$O$_3$ clouds look alike in geometric albedo but produce different $P_c$ phase curves.
The wavelength $\lambda_g$ at which the handedness of the high-$k$ signal flips is phase-angle dependent and tracks the size parameter of the cloud particles, so precise spectropolarimetry could constrain effective particle radius.
For nearly transparent clouds, the predictable single sign change near $90^\circ$ to $100^\circ$ means a measured $P_c$ curve can identify which hemisphere hosts an obstruction such as a circumplanetary ring, which unresolved flux and linear polarization cannot do when the ring geometry is degenerate.
Multiple scattering and the molecular gas layer reduce the amplitude and erase fine features, so the most detectable cases will be either high-$k$ clouds or water-ice-like clouds, with maximum $|P_c|$ around $10^{-4}$ of the reflected intensity.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

If real cloud particles are irregular rather than spherical, the sign of single-scattering linear polarization can flip, which would reverse the handedness of $P_c$; the predictable low-$k$ sign change near $90^\circ$ is a geometric effect and would probably survive, so asymmetry characterization may be more robust than composition retrieval.
The two-regime classification suggests a practical observing strategy: measure circular polarization of a hot Jupiter in two or three optical bandpasses; a handedness inversion between bandpasses would point to absorbing condensates and pin down $\lambda_g$, whereas a phase-independent sign would favor transparent condensates.
The same double-scattering mechanism implies that any unresolved circular polarization in a star-planet system must be carefully separated from stellar spots and star-planet interactions, so the paper's diagnostic is most cleanly applied to coronagraphically resolved planets.

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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Desk Editor's Note

read the letter

This is the first systematic study I know of that computes intrinsic circular polarization phase curves for giant exoplanet cloud condensates, and it does it properly. The second-scattering-order model is clean, parameter-free, and derived from first principles, and the POLARIS Monte Carlo simulations are the right tool for checking it against full multiple scattering. The high-k/low-k distinction (H2-then-cloud vs. cloud-cloud double scattering) is a genuinely new organizing principle, and the paper maps 20 condensates with external optical constants. Credit also for the observability section: the signals are 1e-8 relative to the star, far below HIPPI-2 or POLISH-2, and the authors say so plainly instead of overselling.

Soft spots, in proportion. First, the abstract and conclusion say P_c is at most 3e-4, but Sec. 4.1 reports 5.7e-4 for FeS and 4.5e-4 for Fe2O3. That is a clear internal inconsistency that needs fixing before publication; it looks like an over-conservative abstract written before the final simulation numbers. Second, the Monte Carlo noise is high at the 1e-5 level, which is acknowledged, but it means several claimed plateaus in Sec. 4.2 are not secure; that is more a caution than a flaw.

The more substantive concern is the spherical-particle assumption. The stress-test note is right that the diagnostic sign changes depend on Mie-specific signs of F12 and F34, and the paper itself concedes cubic KCl reverses handedness. Irregular aggregates, expected in real exoplanet clouds, could alter or erase the high-k vs. low-k phase-curve features. That said, the paper does not ignore this; Sect. 5.2 is honest about it, and the qualitative claim — circular polarization is sensitive to cloud composition and asymmetries — survives even if the specific sign changes shift. The low-k asymmetry diagnostic (single sign change near 90–100 degrees) is more robust because the handedness can be calibrated with linear polarimetry. So I do not think this is a fatal flaw, but it should be stated as a caveat in the abstract, and ideally the authors would run one nonspherical test case.

Who is this for? Exoplanet polarimetry folks and modelers of cloud scattering. It is a solid forward-looking framework, not an immediately testable prediction. The citation pattern is appropriate: the authors build on Lietzow & Wolf, Kawata, and Wolstencroft, and they are upfront about what is new.

Recommendation: send to peer review. The numerical inconsistency is an easy fix, and the shape-dependence caveat, if added, would make the claims accurate. I would not block acceptance on the spherical-particle issue, but a referee should push for the caveat and the corrected maximum.

Referee Report

3 major / 4 minor

Summary. The paper uses Mie scattering theory, a second-scattering-order analytic model, and POLARIS Monte Carlo radiative transfer to compute the circular polarization (P_c) of starlight reflected by giant exoplanet atmospheres with 20 candidate cloud condensates. A two-regime picture emerges: for high-imaginary-part refractive index materials, circular polarization is dominated by H2-then-cloud double scattering, producing a wavelength-dependent sign-change wavelength lambda_g; for low-k materials, cloud-cloud double scattering dominates, producing a predictable phase curve with a single sign change near phase angle 90-100 degrees. The authors argue that P_c can characterize large-scale asymmetries such as circumplanetary rings, while acknowledging that the signal is small, stellar contamination is severe, and practical detection requires future instruments.

Significance. If the central results hold, this is the first dedicated numerical study of intrinsic circular polarization of giant exoplanets in reflection, extending Solar System polarimetry to exoplanets. The paper's strengths are substantial: optical constants come from external laboratory sources, no parameter is fitted to the target output, the second-scattering derivation is analytic and internally consistent, and the POLARIS simulations provide independent multiple-scattering checks with clearly discussed statistical errors. The predicted regime distinction (high-k vs low-k) and the lambda_g diagnostic are falsifiable predictions that could guide future polarimetric observations. However, the quantitative upper bound on P_c stated in the abstract and conclusion is contradicted by the paper's own Monte Carlo results, and the shape-dependence of the scattering matrices makes the composition diagnostic conditional on the spherical-particle assumption, a limitation that the authors themselves acknowledge.

major comments (3)

[Abstract, Sec. 4.1, Sec. 5.3, Sec. 6] The abstract and the conclusion state that P_c is at most 3e-4, but Sec. 4.1 reports a maximum P_c of 5.7e-4 for FeS clouds and 4.5e-4 for Fe2O3 clouds, and Sec. 5.3 states that no composition produced an amplitude above 6e-4. These statements cannot all be correct. The reported maximum matters for the paper's quantitative detectability discussion and for the claim that the signal is 'at most' a certain level, so the inconsistency must be resolved by correcting the abstract and conclusion or by explaining why the quoted bound refers to a different quantity (e.g., disk-integrated rather than hemisphere-integrated) in a way that is not currently stated.
[Sec. 2, Sec. 5.2, App. C] The composition diagnostic relies on Mie-specific signs and peaks of F12 and F34: Eq. (C.1) and the interpretive model in Sec. 3 show that the handedness of double-scattered circular polarization is tied to the sign of F34(theta2)*F12(theta1). The manuscript itself notes in Sec. 5.2 that cubic KCl particles produce linear polarization perpendicular to that of spherical particles, which would flip the handedness of P_c, and that irregular aggregates have weaker scattering-angle-dependent matrix features. Because the promised distinction between high-k and low-k regimes and the lambda_g diagnostic depend on these Mie-specific features, the quantitative phase-curve predictions are conditional on an unverified shape assumption. I recommend either adding a sensitivity test with nonspherical particles (for example, a distribution of spheroids or a small set of measured or computed nonspherical scattering matrices) or explicitly reframing the composition and asymmetry claims as qualitative and shape-dependent.
[Sec. 4.2, Fig. 4, Sec. 4.1] The multiple-scattering results are used to claim that 'most features of P_c2,Mie,Mie disappear when all scattering orders contribute' and that 'no sign changes other than the geometric effect at about 90 degrees are observed.' However, the paper also states that the relative statistical error of V and P_c is high even with 10^10 photon packages and that the existence of a shallow positive plateau at high alpha_p 'cannot be ruled out due to the noise of the Monte Carlo simulation' (Sec. 4.2). The absence-of-features claim is therefore partly based on noise-limited null results. The paper should quantify the statistical significance of the claimed sign changes and of the absence of additional sign changes, for example by reporting confidence intervals on the zero-crossing phase angle, rather than relying on visual inspection of noisy P_c curves.

minor comments (4)

[Sec. 3.1.3, Table 1] Sec. 3.1.3 lists 'NaCl' among materials with decreasing k and discusses its behavior, but Table 1 does not include NaCl because it was explicitly excluded in Sec. 2 as redundant with ZnS. The text should either remove NaCl from the discussion or explain that its behavior is covered by analogy to ZnS.
[Fig. 2 caption] The caption states 'For theta > 180 degrees, P_c(theta) = -P_c(2pi - theta)', but the plotted ranges and the phase angle convention in the rest of the paper are limited to 0-180 degrees. Please clarify whether this is intended as a symmetry relation for an unplotted extension of the phase curve.
[Sec. 4.1 and Sec. 5.3] The paper reports the maximum P_c for FeS as 5.7e-4 in Sec. 4.1 and separately notes in Sec. 5.3 that no composition exceeded 6e-4. These statements are consistent only if the 5.7e-4 value is included in the 6e-4 bound, but the abstract/conclusion upper bound of 3e-4 remains inconsistent with both; the numbers should be harmonized throughout.
[Sec. 2, Eq. (4)] The gamma size distribution is written with the convention of Hansen (1971a) and Hansen & Travis (1974), but the reader is not told whether r_eff and v_eff are wavelength-independent in the Mie calculations; a short sentence stating that the size distribution parameters are fixed for all wavelengths would remove ambiguity.

Circularity Check

0 steps flagged · score 0.0 of 10

No significant circularity: the paper's predictions are forward-model outputs from Mie theory, external optical constants, and Monte Carlo radiative transfer, with no fitted parameter renamed as a prediction.

full rationale

The derivation chain is self-contained in the relevant sense. Optical properties of the 20 condensates are taken from external laboratory and literature sources (Table 1), not fitted to the circular polarization output. The second-scattering-order interpretative model (Sect. 3, Eqs. 6-15) is derived analytically from the Stokes scattering formalism and the geometry of double scattering; its predictions are then compared with, not fitted to, the POLARIS multiple-scattering simulations (Sect. 4). The cited prior work by the same group (Lietzow & Wolf 2022; Lietzow et al. 2021) supplies the linear polarization reference curves, the atmospheric setup, and the radiative-transfer code, but none of these citations is invoked to forbid alternatives or to assert uniqueness. The central claim that circular polarization is sensitive to cloud composition and asymmetries is a direct result of the forward calculations. The only material caveat, the spherical-particle assumption, is explicitly acknowledged in Sect. 2 and 5.2, with the paper itself noting that cubic KCl reverses linear polarization direction and hence handedness; this is a robustness or correctness risk, not circularity, because the assumption is not derived from the conclusion. No equation reduces by construction to its own input, and no fitted parameter is renamed as a prediction. Hence the appropriate honest finding is no significant circularity.

Assumptions & free parameters 5 free parameters · 5 assumptions · 0 invented entities

The central claim rests on standard radiative transfer and scattering theory plus several domain assumptions about the planet and its clouds. No new entities are invented. The model parameters, such as the cloud particle radius and cloud optical depth, are adopted from prior literature rather than fitted to the target signal, but the quantitative predictions depend on them.

free parameters (5)

Effective cloud particle radius r_eff = 1 micron
Chosen from prior work (Lietzow & Wolf 2022); the results depend on it but it is not fitted to the target signal.
Effective variance v_eff = 0.1
Standard gamma size distribution parameter adopted from Hansen (1971a); affects scattering matrix features.
Cloud layer optical depth = 10 at 0.5 micron
Chosen to match the atmosphere model of Lietzow & Wolf (2022); the cloud top pressure affects whether H2-Mie or Mie-Mie scattering dominates.
Cloud layer pressure boundaries = 0.1 bar to 1 bar
Adopted from prior model; the cloud top pressure is a key determinant of the dominant scattering path for circular polarization.
H2 depolarization factor = 0.02
Standard Rayleigh scattering assumption from Penndorf (1957); slightly affects the Rayleigh scattering matrix.

assumptions (5)

domain assumption Mie theory for homogeneous spheres describes cloud particle scattering
Assumed in Sect. 2 to compute optical properties; acknowledged as inaccurate for nonspherical particles, which can reverse the handedness of circular polarization (Sect. 5.2).
domain assumption Incident stellar radiation is unpolarized (S_in = (I0,0,0,0))
Justified in Sect. 3 by the quiet-Sun polarization being below 1 ppm; active star spots violate this and can produce circular polarization orders of magnitude larger.
domain assumption Polar effect: zero disk-integrated circular polarization for mirror-symmetric planets
Used throughout the paper; well-established from Hansen (1971a) and Wolstencroft (1976), and is the reason a net signal requires an asymmetry.
domain assumption H2 Rayleigh scattering with depolarization factor 0.02 and no gas absorption
Adopted in Sect. 2; reasonable for clear H2 at optical/NIR wavelengths, but ignores molecular absorption bands that affect real exoplanet spectra.
domain assumption Plane-parallel homogeneous semi-infinite atmosphere for the second-order model
Used in App. D to derive the interpretative model; the full POLARIS model uses a spherical hydrostatic atmosphere, so this is an accepted simplification for interpretation.

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Cite this review

Pith. "Pith review of Circular polarization as a probe of cloud properties and asymmetries in giant exoplanet atmospheres." pith.science (2026). https://pith.science/paper/HOR3EUMO

@misc{pith2026260804837,
  author       = {Pith},
  title        = {Pith review of: Circular polarization as a probe of cloud properties and asymmetries in giant exoplanet atmospheres},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/HOR3EUMO}},
  note         = {Machine review of arXiv:2608.04837}
}

abstract

For planets in the Solar System, circular polarization measurements complement linear polarimetry by providing additional information on cloud particle properties. As the disk-integrated circular polarization is 0 for symmetric planets, observing intrinsic circular polarization of spatially unresolved exoplanets requires stable spatial asymmetries such as circumplanetary rings. We investigated the potential of circular polarization measurements at optical and near-infrared wavelengths to determine optical properties of cloud particles in the atmospheres of giant exoplanets and characterize asymmetries. For 20 selected cloud condensates spanning a wide range of refractive indices, we calculated optical properties using Mie scattering theory. The circular polarization of starlight scattered by cloudy exoplanets was calculated with Monte Carlo radiative transfer simulations. To explain the connection between optical properties and planetary circular polarization, we derived an interpretative model of the first two scattering orders. Planetary hemispheres with atmospheres including cloud particles with a large imaginary part, $k$, of the refractive index show distinct circular polarization phase curves dominated by scattering first by gaseous molecules and then by cloud particles. The intrinsic degree of circular polarization, $P_\mathrm{c}$, is at most $3\cdot 10^{-4}$. When the cloud particles have a low $k$, they instead induce even smaller but more predictable circular polarization dominated by scattering solely by cloud particles. Circular polarization of starlight reflected by giant exoplanets is sensitive to cloud particle composition and large-scale asymmetries but remains a subtle signal. While promising for characterizing clouds under favorable conditions, practical detection requires technological advances in polarimetry and careful disentanglement from stellar background signals.

Figures

Figures reproduced from arXiv: 2608.04837 by the authors.

**Figure 1.** Double scattering geometry. Two particles are shown as circles. nˆin (incoming radiation, Sin), nˆ 12 (after first scattering), and nˆ out (outgoing radiation, Sout) define the radiation path. nˆ 1 and nˆ 2 are the normals of the first and second scattering plane, respectively. θ1, ϕ1, and θ2, ϕ2 are the polar and azimuthal scattering angles of the first and second scattering event, respectively. The observer is lo… view at source ↗

**Figure 2.** Circular polarization, Pc2,Mie,Mie, of the contribution, S2,Mie,Mie, to the second scattering order, S2, of a planetary hemisphere with a homogeneous atmosphere in units of 10−3 for various cloud condensates and wavelengths visualized using a color map with black contour lines. For θ > 180◦ , Pc(θ) = −Pc(2π − θ). Overlaid gray contour lines visualize the signed degree of single scattering linear polarization, Ps , … view at source ↗

**Figure 3.** Circular polarization Pc2,H2,Mie of the contribution S2,H2,Mie of scattering once by H2 molecules before scattering once by Mie scattering cloud particles to the Stokes vector of the second scattering order, S2, for various cloud condensates and wavelengths visualized using a color map with black contour lines. and 0.95 µm, respectively (see Lietzow & Wolf 2022), due to the influence of process (ii). For MgAl2O4 and… view at source ↗

Figures from the paper (1 more)

**Figure 4.** Figure 4: First row: Planetary intensity phase curve at a wavelength of 0.5 µm, normalized such that I(0◦ ) is equal to the geometric albedo. Second row: Linearly polarized intensity, −Q, as a function of the planetary phase angle, αp, at a wavelength of 0.5 µm. The sign is chos…

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Works this paper leans on

137 extracted references · 45 canonical work pages

[1]

Minerva-Australis. I. Design, Commissioning, and First Photometric Results. , keywords =. doi:10.1088/1538-3873/ab03aa , archivePrefix =. 1901.11231 , primaryClass =

arXiv 1901
[2]

, keywords =

The tidal deformation and atmosphere of WASP-12 b from its phase curve★. , keywords =. doi:10.1051/0004-6361/202348502 , archivePrefix =. 2402.10486 , primaryClass =

arXiv
[3]

Models of very-low-mass stars, brown dwarfs and exoplanets. Phil. Trans. R. Soc. A , keywords =. doi:10.1098/rsta.2011.0269 , archivePrefix =. 1112.3591 , primaryClass =

arXiv 2011
[4]

arXiv , Author =:1307.6212 , Journal =

doi:10.1051/0004-6361/201322068 , Eid =. arXiv , Author =:1307.6212 , Journal =

arXiv
[5]

, keywords =

The Astropy Project: Building an Open-science Project and Status of the v2.0 Core Package. , keywords =. doi:10.3847/1538-3881/aabc4f , archivePrefix =. 1801.02634 , primaryClass =

arXiv
[6]

, keywords =

The Astropy Project: Sustaining and Growing a Community-oriented Open-source Project and the Latest Major Release (v5.0) of the Core Package. , keywords =. doi:10.3847/1538-4357/ac7c74 , archivePrefix =. 2206.14220 , primaryClass =

arXiv
[7]

, year = 1999, month = oct, volume =

A comparison of the atmospheres of Jupiter and Saturn: deep atmospheric composition, cloud structure, vertical mixing, and origin. , year = 1999, month = oct, volume =. doi:10.1016/S0032-0633(99)00047-1 , adsurl =

doi:10.1016/s0032-0633(99)00047-1 1999
[8]

Astrobiology , keywords =

Rainbows, Polarization, and the Search for Habitable Planets. Astrobiology , keywords =. doi:10.1089/ast.2006.0039 , adsurl =

arXiv 2006

Show all 137 references

[9]

, keywords =

Polarized radiative transfer in planetary atmospheres and the polarization of exoplanets. , keywords =. doi:10.1093/mnras/sty1892 , archivePrefix =. 1807.04443 , primaryClass =

arXiv
[10]

, keywords =

HIPPI-2: A versatile high-precision polarimeter. , keywords =. doi:10.1017/pasa.2019.45 , archivePrefix =. 1911.02123 , primaryClass =

2019 arXiv
[11]

, keywords =

Condensation Clouds in Substellar Atmospheres with Virga. , keywords =. doi:10.3847/1538-3881/ae29e5 , archivePrefix =. 2508.15102 , primaryClass =

arXiv
[12]

, keywords =

A ground-based transmission spectrum of the super-Earth exoplanet GJ 1214b. , keywords =. doi:10.1038/nature09596 , archivePrefix =. 1012.0331 , primaryClass =

arXiv
[13]

A sub-Neptune exoplanet with a low-metallicity methane-depleted atmosphere and Mie-scattering clouds. Nat. Astron. , keywords =. doi:10.1038/s41550-019-0800-5 , archivePrefix =. 1907.00449 , primaryClass =

1907 arXiv
[14]

, keywords =

The Flat Transmission Spectrum of the Super-Earth GJ1214b from Wide Field Camera 3 on the Hubble Space Telescope. , keywords =. doi:10.1088/0004-637X/747/1/35 , archivePrefix =. 1111.5621 , primaryClass =

arXiv
[15]

Absorption and scattering of light by small particles
[16]

, keywords =

A grid of polarization models for Rayleigh scattering planetary atmospheres. , keywords =. doi:10.1051/0004-6361/200911760 , archivePrefix =. 0907.1862 , primaryClass =

arXiv
[17]

, keywords =

Detection of an Extrasolar Planet Atmosphere. , keywords =. doi:10.1086/338770 , archivePrefix =. astro-ph/0111544 , primaryClass =

arXiv
[18]

, keywords =

Modelling reflected polarized light from close-in giant exoplanet WASP-96b using PolHEx (Polarization of hot exoplanets). , keywords =. doi:10.1093/mnras/stad3413 , archivePrefix =. 2307.09601 , primaryClass =

arXiv
[19]

Wavelength Dependence of Polarization. XV. Observations of Venus. , year = 1969, month = apr, volume =. doi:10.1086/110822 , adsurl =

1969 doi
[20]

, keywords =

The intrinsic and interstellar broad-band linear polarization of nearby FGK dwarfs. , keywords =. doi:10.1093/mnras/stx068 , archivePrefix =. 1701.02890 , primaryClass =

arXiv
[21]

Highly reflective white clouds on the western dayside of an exo-Neptune. Nat. Astron. , keywords =. doi:10.1038/s41550-025-02488-9 , archivePrefix =. 2501.14016 , primaryClass =

arXiv
[22]

, keywords =

Inference of Inhomogeneous Clouds in an Exoplanet Atmosphere. , keywords =. doi:10.1088/2041-8205/776/2/L25 , archivePrefix =. 1309.7894 , primaryClass =

arXiv
[23]

The effect of aerosol shape in retrieving optical properties of cloud particles in the planetary atmospheres from the photopolarimetric data. Jupiter. Sol. Syst. Res. , year = 2005, month = mar, volume =. doi:10.1007/s11208-005-0026-1 , adsurl =

2005 doi
[24]

, year = 1970, month = oct, volume =

Polarization of Venus I Disk Observations. , year = 1970, month = oct, volume =

1970
[25]

Steps toward interstellar silicate mineralogy. II. Study of Mg-Fe-silicate glasses of variable composition. , keywords =
[26]

Scattering by Interstellar Dust Grains. I. Optical and Ultraviolet. , keywords =. doi:10.1086/379118 , archivePrefix =. astro-ph/0304060 , primaryClass =

arXiv
[27]

, keywords =

Reflected Light Curves, Spherical and Bond Albedos of Jupiter- and Saturn-like Exoplanets. , keywords =. doi:10.3847/0004-637X/822/2/76 , archivePrefix =. 1511.04415 , primaryClass =

arXiv
[28]

, keywords =

Detection of Variable Elliptical Polarization of HD 129333. , keywords =. doi:10.1086/115564 , adsurl =

doi
[29]

, keywords =

ACCESS: a featureless optical transmission spectrum for WASP-19b from Magellan/IMACS. , keywords =. doi:10.1093/mnras/sty2691 , archivePrefix =. 1807.10652 , primaryClass =

arXiv
[30]

Steps toward interstellar silicate mineralogy. VI. Dependence of crystalline olivine IR spectra on iron content and particle shape. , keywords =. doi:10.1051/0004-6361:20011196 , adsurl =

doi
[31]

, year = 2005, month = jun, volume =

Planetary Photometry: The Lommel-Seeliger Law. , year = 2005, month = jun, volume =

2005
[32]

, keywords =

Characterizing Earth Analogs in Reflected Light: Atmospheric Retrieval Studies for Future Space Telescopes. , keywords =. doi:10.3847/1538-3881/aab95c , archivePrefix =. 1803.06403 , primaryClass =

arXiv
[33]

Towards a comprehensive model of Earth's disk-integrated Stokes vector. Int. J. Astrobiology , keywords =. doi:10.1017/S1473550414000573 , archivePrefix =. 1409.8573 , primaryClass =

arXiv
[34]

PNAS , keywords =

Probing exoplanet clouds with optical phase curves. PNAS , keywords =. doi:10.1073/pnas.1509135112 , archivePrefix =. 1511.01424 , primaryClass =

arXiv
[35]

Diagnostics for extended hazy atmospheres

Exoplanet phase curves at large phase angles. Diagnostics for extended hazy atmospheres. , keywords =. doi:10.1093/mnras/stx2428 , archivePrefix =. 1710.05176 , primaryClass =

arXiv
[36]

, keywords =

The optical transmission spectrum of the hot Jupiter HAT-P-32b: clouds explain the absence of broad spectral features?. , keywords =. doi:10.1093/mnras/stt1783 , archivePrefix =. 1309.6998 , primaryClass =

arXiv
[37]

Temporal flux and polarization signals of the Earth

Colors of an Earth-like exoplanet. Temporal flux and polarization signals of the Earth. , keywords =. doi:10.1051/0004-6361/202037569 , archivePrefix =. 2007.15624 , primaryClass =

2007 arXiv
[38]

Light Scattering Measurements of KCl Particles as an Exoplanet Cloud Analog. Planet. Sci. J. , keywords =. doi:10.3847/PSJ/ad6569 , archivePrefix =. 2411.00952 , primaryClass =

arXiv
[39]

, keywords =

The Effects of Cuboid Particle Scattering on Reflected Light Phase Curves: Insights from Laboratory Data and Theory. , keywords =. doi:10.3847/1538-4357/add7cf , archivePrefix =. 2507.05485 , primaryClass =

arXiv
[42]

Interpretation of the polarization of Venus. J. Atmos. Sci. , year = 1974, month = may, volume =. doi:10.1175/1520-0469(1974)031<1137:IOTPOV>2.0.CO;2 , adsurl =

1974 doi
[43]

, keywords =

Light scattering in planetary atmospheres. , keywords =. doi:10.1007/BF00168069 , adsurl =

doi
[44]

Bidirectional reflectance spectroscopy. 1. Theory. , year = 1981, month = jun, volume =

1981
[45]

Harris and K

Charles R. Harris and K. Jarrod Millman and St. Array programming with. 2020 , month = sep, journal =. doi:10.1038/s41586-020-2649-2 , publisher =

2020 doi
[46]

Exoplanet Clouds. Annu. Rev. Earth Planet. Sci , keywords =. doi:10.1146/annurev-earth-053018-060401 , archivePrefix =. 1812.03793 , primaryClass =

arXiv
[47]

Understanding the atmospheric properties and chemical composition of the ultra-hot Jupiter HAT-P-7b. I. Cloud and chemistry mapping. , keywords =. doi:10.1051/0004-6361/201935771 , archivePrefix =. 1906.08127 , primaryClass =

1906 arXiv
[48]

, keywords =

Cloud property trends in hot and ultra-hot giant gas planets (WASP-43b, WASP-103b, WASP-121b, HAT-P-7b, and WASP-18b). , keywords =. doi:10.1051/0004-6361/202039911 , archivePrefix =. 2102.11688 , primaryClass =

arXiv
[49]

, keywords =

Understanding Trends Associated with Clouds in Irradiated Exoplanets. , keywords =. doi:10.1088/0004-637X/777/2/100 , archivePrefix =. 1309.5956 , primaryClass =

arXiv
[50]

, keywords =

Optical properties of oxide dust grains. , keywords =
[51]

The atmospheres of rocky exoplanets. II. Influence of surface composition on the diversity of cloud condensates. , keywords =. doi:10.1051/0004-6361/202141636 , archivePrefix =. 2111.14144 , primaryClass =

arXiv
[52]

, year = 1950, month = nov, volume =

Diffuse Reflection by Planetary Atmospheres. , year = 1950, month = nov, volume =. doi:10.1086/145359 , adsurl =

1950 doi
[53]

, year = 1971, month = jun, volume =

Multiple Scattering of Polarized Light in Planetary Atmospheres. , year = 1971, month = jun, volume =

1971
[54]

Optical Properties of -MnS. Phys. Rev. , year = 1967, month = apr, volume =. doi:10.1103/PhysRev.156.989 , adsurl =

1967 doi
[55]

Hunter, J. D. , Title =. Comput. Sci. Eng. , Volume =
[56]

, keywords =

Quartz Clouds in the Dayside Atmosphere of the Quintessential Hot Jupiter HD 189733 b. , keywords =. doi:10.3847/2041-8213/ad725e , archivePrefix =. 2409.11395 , primaryClass =

arXiv
[57]

Steps toward interstellar silicate mineralogy. VII. Spectral properties and crystallization behaviour of magnesium silicates produced by the sol-gel method. , keywords =. doi:10.1051/0004-6361:20030916 , adsurl =

doi
[58]

, keywords =

Flux and polarisation spectra of water clouds on exoplanets. , keywords =. doi:10.1051/0004-6361/201116449 , adsurl =

doi
[59]

Icarus , volume=

Circular polarization of sunlight reflected by planetary atmospheres , author=. Icarus , volume=. 1978 , publisher=

1978
[60]

Allen's Astrophysical Quantities , year = 2000, editor =

Radiation. Allen's Astrophysical Quantities , year = 2000, editor =

2000
[61]

Nature , volume=

Circular polarization: Jupiter and other planets , author=. Nature , volume=. 1971 , publisher=

1971
[62]

, year = 1973, month = dec, volume =

The Linear Polarization and Transparency of Saturn's Rings. , year = 1973, month = dec, volume =. doi:10.1086/152535 , adsurl =

1973 doi
[63]

, keywords =

The optical polarization of the Sun measured at a sensitivity of parts in ten million. , keywords =. doi:10.1038/326270a0 , adsurl =

doi
[64]

FP-APW+lo calculations of the electronic and optical properties of alkali metal sulfides under pressure. J. Phys. Condens. Matter , year = 2009, month = mar, volume =. doi:10.1088/0953-8984/21/9/095404 , adsurl =

2009 doi
[65]

, keywords =

Optical properties of potential condensates in exoplanetary atmospheres. , keywords =. doi:10.1093/mnras/stx3141 , archivePrefix =. 1710.04946 , primaryClass =

arXiv
[66]

, keywords =

A featureless transmission spectrum for the Neptune-mass exoplanet GJ436b. , keywords =. doi:10.1038/nature12887 , archivePrefix =. 1401.3350 , primaryClass =

arXiv
[67]

Icarus , volume=

Extinction spectra of corundum in the wavelengths from UV to FIR , author=. Icarus , volume=. 1995 , publisher=

1995
[68]

, keywords =

Clouds in the atmosphere of the super-Earth exoplanet GJ1214b. , keywords =. doi:10.1038/nature12888 , archivePrefix =. 1401.0022 , primaryClass =

arXiv
[69]

, keywords =

Water, High-altitude Condensates, and Possible Methane Depletion in the Atmosphere of the Warm Super-Neptune WASP-107b. , keywords =. doi:10.3847/2041-8213/aabfce , archivePrefix =. 1709.08635 , primaryClass =

arXiv
[70]

, keywords =

Shapes, sizes and light scattering properties of ice crystals in cirrus and a persistent contrail during SUCCESS. , keywords =. doi:10.1029/98GL00241 , adsurl =

doi
[71]

, keywords =

Theory of Planetary Photometry. , keywords =
[72]

, keywords =

The Impact of Organic Hazes and Graphite on the Observation of CO _ 2 -rich Sub-Neptune Atmospheres. , keywords =. doi:10.3847/2041-8213/adfa87 , archivePrefix =. 2508.07161 , primaryClass =

arXiv
[73]

, keywords =

Three-dimensional continuum radiative transfer of polarized radiation in exoplanetary atmospheres. , keywords =. doi:10.1051/0004-6361/202038932 , archivePrefix =. 2012.12992 , primaryClass =

2012 arXiv
[74]

, keywords =

Polarimetric investigation of selected cloud compositions in exoplanetary atmospheres. , keywords =. doi:10.1051/0004-6361/202142521 , archivePrefix =. 2205.04815 , primaryClass =

arXiv
[75]

, keywords =

Scattered polarized radiation of extrasolar circumplanetary rings. , keywords =. doi:10.1051/0004-6361/202245474 , archivePrefix =. 2302.06508 , primaryClass =

arXiv
[76]

, keywords =

The Influence of Nonuniform Cloud Cover on Transit Transmission Spectra. , keywords =. doi:10.3847/0004-637X/820/1/78 , archivePrefix =. 1511.09443 , primaryClass =

arXiv
[77]

Intensity and Polarization for Single Scattering by Polydisperse Spheres: A Comparison of Ray Optics and Mie Theory. J. Atmos. Sci. , year = 1971, month = sep, volume =. doi:10.1175/1520-0469(1971)028<0995:IAPFSS>2.0.CO;2 , adsurl =

1971 doi
[78]

, keywords =

Titanium and Vanadium Chemistry in Low-Mass Dwarf Stars. , keywords =. doi:10.1086/342241 , adsurl =

doi
[79]

Recherches sur la polarisation de la lumi \`e re des plan \`e tes et de quelques substances terrestres
[80]

, keywords =

HD 209458b in new light: evidence of nitrogen chemistry, patchy clouds and sub-solar water. , keywords =. doi:10.1093/mnras/stx804 , archivePrefix =. 1701.01113 , primaryClass =

arXiv
[81]

Its impact on astronomy

Cosmic dust. Its impact on astronomy
[82]

, keywords =

Optical properties of NH _ 3 ice from the far infrared to the near ultraviolet. , keywords =. doi:10.1364/AO.23.000541 , adsurl =

doi
[83]

, keywords =

Classification of magnetized star-planet interactions: bow shocks, tails, and inspiraling flows. , keywords =. doi:10.1051/0004-6361/201425593 , archivePrefix =. 1503.03551 , primaryClass =

arXiv
[84]

, keywords =

A Note on Jupiter's Circular Polarization. , keywords =. doi:10.1086/129714 , adsurl =

doi
[85]

Mie, Gustav , journal=. Beitr. 1908 , publisher=

1908
[86]

Towards the Habitable Worlds Observatory: Visionary Science and Transformational Technology , keywords =

Direct imaging characterization of cool gaseous planets. Towards the Habitable Worlds Observatory: Visionary Science and Transformational Technology , keywords =. doi:10.48550/arXiv.2512.13766 , publisher =

doi
[87]

, keywords =

Light scattering by polydisperse, rotationally symmetric nonspherical particles: linear polarization. , keywords =. doi:10.1016/0022-4073(94)90130-9 , adsurl =

doi
[88]

A Python radiative transfer package for exoplanet characterization and retrieval

petitRADTRANS. A Python radiative transfer package for exoplanet characterization and retrieval. , keywords =. doi:10.1051/0004-6361/201935470 , archivePrefix =. 1904.11504 , primaryClass =

1904 arXiv
[89]

, keywords =

Quantitatively Assessing the Role of Clouds in the Transmission Spectrum of GJ 1214b. , keywords =. doi:10.1088/0004-637X/775/1/33 , archivePrefix =. 1305.4124 , primaryClass =

arXiv
[90]

, keywords =

Implementation of Aerosol Mie Scattering in POSEIDON with Application to the Hot Jupiter HD 189733 b's Transmission, Emission, and Reflected Light Spectrum. , keywords =. doi:10.3847/1538-4357/ad8575 , archivePrefix =. 2410.19253 , primaryClass =

arXiv
[91]

, keywords =

Optical phase curves as diagnostics for aerosol composition in exoplanetary atmospheres. , keywords =. doi:10.1093/mnras/stw133 , archivePrefix =. 1601.03050 , primaryClass =

arXiv
[92]

Handbook of optical constants of solids
[93]

Handbook of optical constants of solids II
[94]

Tables of the Refractive Index for standard Air and the Rayleigh Scattering Coefficient for the Spectral Region between 0.2 and 20.0 mgr and Their Application to Atmospheric Optics. J. Opt. Soc. Am , year = 1957, month = feb, volume =. doi:10.1364/JOSA.47.000176 , adsurl =

1957 doi
[95]

, keywords =

Composition and Radiative Properties of Grains in Molecular Clouds and Accretion Disks. , keywords =. doi:10.1086/173677 , adsurl =

doi
[96]

, keywords =

Detection of atmospheric haze on an extrasolar planet: the 0.55-1.05 m transmission spectrum of HD 189733b with the HubbleSpaceTelescope. , keywords =. doi:10.1111/j.1365-2966.2008.12852.x , archivePrefix =. 0712.1374 , primaryClass =

2008
[97]

, keywords =

The prevalence of dust on the exoplanet HD 189733b from Hubble and Spitzer observations. , keywords =. doi:10.1093/mnras/stt651 , archivePrefix =. 1210.4163 , primaryClass =

arXiv
[98]

Radiative transfer with POLARIS. I. Analysis of magnetic fields through synthetic dust continuum polarization measurements. , keywords =. doi:10.1051/0004-6361/201424930 , archivePrefix =. 1604.05305 , primaryClass =

arXiv
[99]

Clouds in Three-dimensional Models of Hot Jupiters over a Wide Range of Temperatures. I. Thermal Structures and Broadband Phase-curve Predictions. , keywords =. doi:10.3847/1538-4357/abd549 , archivePrefix =. 2010.06936 , primaryClass =

2010 arXiv
[100]

, keywords =

Using polarimetry to retrieve the cloud coverage of Earth-like exoplanets. , keywords =. doi:10.1051/0004-6361/201730586 , archivePrefix =. 1708.07009 , primaryClass =

arXiv
[101]

, keywords =

Circular polarization signals of cloudy (exo)planets. , keywords =. doi:10.1051/0004-6361/201832619 , archivePrefix =. 1805.08686 , primaryClass =

arXiv
[102]

Spectropolarimetry as a tool for understanding the diversity of planetary atmospheres. Exp. Astron. , keywords =. doi:10.1007/s10686-021-09813-w , adsurl =

doi
[103]

Effects of micro-porosity, size distributions, and particle shape

Mineral snowflakes on exoplanets and brown dwarfs. Effects of micro-porosity, size distributions, and particle shape. , keywords =. doi:10.1051/0004-6361/202037553 , archivePrefix =. 2004.13502 , primaryClass =

2004 arXiv
[104]

Clouds in planetary atmospheres: A useful application of the Clausius-Clapeyron equation. Am. J. Phys , keywords =. doi:10.1119/1.1645279 , adsurl =

doi
[105]

, keywords =

Theoretical Transmission Spectra during Extrasolar Giant Planet Transits. , keywords =. doi:10.1086/309088 , archivePrefix =. astro-ph/9912241 , primaryClass =

arXiv
[106]

, keywords =

A continuum from clear to cloudy hot-Jupiter exoplanets without primordial water depletion. , keywords =. doi:10.1038/nature16068 , archivePrefix =. 1512.04341 , primaryClass =

arXiv
[107]

II Spectropolarimetry of Jupiter and Saturn

High precision spectropolarimetry of stars and planets. II Spectropolarimetry of Jupiter and Saturn. , keywords =. doi:10.1093/mnras/205.1.39 , adsurl =

doi
[108]

, year = 2005, month = may, volume =

Direct measurement of the Rayleigh scattering cross section in various gases. , year = 2005, month = may, volume =. doi:10.1016/j.jqsrt.2004.07.025 , adsurl =

2005 doi
[109]

Geological Survey Bulletin , volume =

Map projections used by the US Geological Survey , author=. Geological Survey Bulletin , volume =. 1982 , note=

1982
[110]

Proceedings of the National Academy of Science , keywords =

Detection of circular polarization in light scattered from photosynthetic microbes. Proceedings of the National Academy of Science , keywords =. doi:10.1073/pnas.0810215106 , archivePrefix =. 0904.4646 , primaryClass =

arXiv
[111]

Circular polarization in scattered light as a possible biomarker. J. Quant. Spectr. Rad. Transf. , year = 2009, month = sep, volume =. doi:10.1016/j.jqsrt.2009.02.028 , adsurl =

2009 doi
[112]

, keywords =

Remote sensing of chiral signatures on Mars. , keywords =. doi:10.1016/j.pss.2012.08.010 , archivePrefix =. 1209.0671 , primaryClass =

2012 arXiv
[113]

Astrobiology , keywords =

Spectropolarimetry of Primitive Phototrophs as Global Surface Biosignatures. Astrobiology , keywords =. doi:10.1089/ast.2020.2272 , archivePrefix =. 2010.02133 , primaryClass =

2020
[114]

, keywords =

Using polarimetry to detect and characterize Jupiter-like extrasolar planets. , keywords =. doi:10.1051/0004-6361:20041578 , adsurl =

doi
[115]

, keywords =

Three-Dimensional Dust Radiative Transfer*. , keywords =. doi:10.1146/annurev-astro-082812-141042 , archivePrefix =. 1303.4998 , primaryClass =

arXiv
[116]

On the composition and resolution of streams of polarized light from different sources , author=. Trans. Cambridge Philos. , volume=
[117]

, year = 2006, month = oct, volume =

On the retrieval of ice cloud particle shapes from POLDER measurements. , year = 2006, month = oct, volume =. doi:10.1016/j.jqsrt.2006.02.071 , adsurl =

2006 doi
[118]

, year = 1972, month = nov, volume =

Circular Polarization of Saturn. , year = 1972, month = nov, volume =. doi:10.1086/151785 , adsurl =

1972 doi
[119]

, keywords =

Water vapour in the atmosphere of a transiting extrasolar planet. , keywords =. doi:10.1038/nature06002 , archivePrefix =. 0707.3064 , primaryClass =

arXiv
[120]

Vacuum ultraviolet reflectance and electron energy loss spectra of CaTiO_3. J. Phys. Condens. Matter , year = 1998, month = apr, volume =. doi:10.1088/0953-8984/10/16/018 , adsurl =

1998 doi
[121]

, year = 1948, month = mar, volume =

Scattering in a Planetary Atmosphere. , year = 1948, month = mar, volume =. doi:10.1086/145005 , adsurl =

1948 doi
[122]

Light Scattering by Small Particles
[123]

, keywords =

Chasing rainbows and ocean glints: Inner working angle constraints for the Habitable Worlds Observatory. , keywords =. doi:10.1093/mnras/stad2127 , archivePrefix =. 2307.15137 , primaryClass =
[124]

, keywords =

A general polarimetric model for transiting and nontransiting ringed exoplanets. , keywords =. doi:10.1051/0004-6361/202347194 , archivePrefix =. 2404.16606 , primaryClass =

arXiv
[125]

, year = 1971, month = apr, volume =

A Polarimetric Search for a Venus Halo During the 1969 Inferior Conjunction. , year = 1971, month = apr, volume =. doi:10.1016/0019-1035(71)90065-0 , adsurl =

1969 doi
[126]

, keywords =

Star Planet Interactions: A Computational View. , keywords =. doi:10.1146/annurev-astro-021225-030604 , archivePrefix =. 2506.00470 , primaryClass =

arXiv
[127]

, keywords =

Transmission spectral properties of clouds for hot Jupiter exoplanets. , keywords =. doi:10.1051/0004-6361/201424207 , archivePrefix =. 1409.7594 , primaryClass =

arXiv
[128]

, keywords =

High-temperature condensate clouds in super-hot Jupiter atmospheres. , keywords =. doi:10.1093/mnras/stw2639 , archivePrefix =. 1610.03325 , primaryClass =

arXiv
[129]

Optical constants of ice from the ultraviolet to the microwave: A revised compilation. J. Geophys. Res. Atmos. , keywords =. doi:10.1029/2007JD009744 , adsurl =

doi
[130]

, keywords =

Effect of Longitude-dependent Cloud Coverage on Exoplanet Visible Wavelength Reflected-light Phase Curves. , keywords =. doi:10.1088/0004-637X/804/2/94 , adsurl =

doi
[131]

, year = 1991, month = apr, volume =

Evidence for aggregate particles in the atmospheres of Titan and Jupiter. , year = 1991, month = apr, volume =. doi:10.1016/0019-1035(91)90113-8 , adsurl =

1991 doi
[132]

, keywords =

A Decade of Linear and Circular Polarimetry with the POLISH2 Polarimeter. , keywords =. doi:10.3847/1538-4365/aca407 , archivePrefix =. 2211.09279 , primaryClass =

arXiv
[133]

, keywords =

A Scatter of Light from a Polarized World. , keywords =. doi:10.3847/1538-3881/ae0a28 , archivePrefix =. 2509.19172 , primaryClass =
[134]

, keywords =

Feasibility study on retrieving exoplanetary cloud cover distributions using polarimetry. , keywords =. doi:10.1051/0004-6361/202348537 , archivePrefix =. 2405.12727 , primaryClass =

arXiv
[135]

, keywords =

Efficient Radiative Transfer in Dust Grain Mixtures. , keywords =. doi:10.1086/344710 , archivePrefix =. astro-ph/0209281 , primaryClass =

arXiv
[136]

Mie scattering by ensembles of particles with very large size parameters , author=. Comput. Phys. Commun. , volume=
[137]

, keywords =

The Circular Polarization of the Light from Jupiter. , keywords =. doi:10.1016/0019-1035(76)90051-8 , adsurl =

doi
[138]

, year = 1973, month = apr, volume =

Are the Clouds of Venus Sulfuric Acid?. , year = 1973, month = apr, volume =. doi:10.1016/0019-1035(73)90059-6 , adsurl =

1973 doi
[139]

RNAAS , year = 2019, month = mar, volume =

On the Ambiguous Definition of the Degree of Linear Polarization. RNAAS , year = 2019, month = mar, volume =. doi:10.3847/2515-5172/ab0c11 , adsurl =

2019 doi

Pith tools

Reviewed August 6, 2026 · model on record in the stance chip above.

[1] [1]

Minerva-Australis. I. Design, Commissioning, and First Photometric Results. , keywords =. doi:10.1088/1538-3873/ab03aa , archivePrefix =. 1901.11231 , primaryClass =

arXiv 1901

[2] [2]

, keywords =

The tidal deformation and atmosphere of WASP-12 b from its phase curve★. , keywords =. doi:10.1051/0004-6361/202348502 , archivePrefix =. 2402.10486 , primaryClass =

arXiv

[3] [3]

Models of very-low-mass stars, brown dwarfs and exoplanets. Phil. Trans. R. Soc. A , keywords =. doi:10.1098/rsta.2011.0269 , archivePrefix =. 1112.3591 , primaryClass =

arXiv 2011

[4] [4]

arXiv , Author =:1307.6212 , Journal =

doi:10.1051/0004-6361/201322068 , Eid =. arXiv , Author =:1307.6212 , Journal =

arXiv

[5] [5]

, keywords =

The Astropy Project: Building an Open-science Project and Status of the v2.0 Core Package. , keywords =. doi:10.3847/1538-3881/aabc4f , archivePrefix =. 1801.02634 , primaryClass =

arXiv

[6] [6]

, keywords =

The Astropy Project: Sustaining and Growing a Community-oriented Open-source Project and the Latest Major Release (v5.0) of the Core Package. , keywords =. doi:10.3847/1538-4357/ac7c74 , archivePrefix =. 2206.14220 , primaryClass =

arXiv

[7] [7]

, year = 1999, month = oct, volume =

A comparison of the atmospheres of Jupiter and Saturn: deep atmospheric composition, cloud structure, vertical mixing, and origin. , year = 1999, month = oct, volume =. doi:10.1016/S0032-0633(99)00047-1 , adsurl =

doi:10.1016/s0032-0633(99)00047-1 1999

[8] [8]

Astrobiology , keywords =

Rainbows, Polarization, and the Search for Habitable Planets. Astrobiology , keywords =. doi:10.1089/ast.2006.0039 , adsurl =

arXiv 2006