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arxiv: 2606.11305 · v1 · pith:4F4XLCXAnew · submitted 2026-06-09 · 🌌 astro-ph.IM · astro-ph.CO

Modeling the impact of filter-substrate refraction in the Roman point spread function

Federico Berlfein , Rachel Mandelbaum , Tianqing Zhang , Nihar Dalal , Christopher M. Hirata , Charuhas Shiveshwarkar , Anthony Harbo Torres This is my paper

Pith reviewed 2026-06-27 11:23 UTC · model grok-4.3

classification 🌌 astro-ph.IM astro-ph.CO
keywords filter-substrate refractionpoint spread functionRoman Space Telescopeweak lensingchromatic effectslateral shiftimage simulationsPSF residuals
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The pith

The dominant effect of filter-substrate refraction on the Roman point spread function is a lateral image shift that produces PSF size and ellipticity residuals of 0.3-0.4 percent.

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

This paper models how refraction through the filter substrate in the Roman Space Telescope creates two chromatic changes to the point spread function: a longitudinal shift along the optical axis and a lateral shift across the focal plane. Image simulations across all eight bands separate these contributions and compare the resulting PSF and flux errors against the telescope's science requirements. The lateral shift proves dominant and field-dependent, producing size and ellipticity residuals of order 0.3-0.4 percent that exceed weak lensing tolerances by roughly an order of magnitude, while flux errors remain acceptable in most bands and the longitudinal shift stays negligible. The work also supplies an implementation of the lateral effect suitable for large-scale image simulations that reproduces the observed changes.

Core claim

The lateral shift from filter-substrate refraction is the dominant chromatic perturbation to the Roman PSF, producing size and ellipticity residuals of order 0.3-0.4% in most bands that exceed weak lensing requirements by an order of magnitude, while the longitudinal shift is subdominant; the effect is strongly field-dependent and can be implemented in large-scale image simulations to reproduce the changes accurately.

What carries the argument

wavelength-dependent lateral displacement of the image position due to refraction in the filter substrate

If this is right

  • The lateral shift dominates the longitudinal shift in producing PSF perturbations across all eight imaging bands.
  • PSF size and ellipticity residuals reach 0.3-0.4 percent in most bands and grow larger toward the edges of the focal plane.
  • These residuals exceed the Roman weak lensing science requirements by roughly an order of magnitude.
  • Flux residuals remain below one third of the 1 percent requirement in most bands except R062 and W146.
  • The lateral-shift effect can be added to frameworks for large-scale image simulations while accurately reproducing the PSF size and shape changes.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • PSF modeling pipelines for Roman data will need to incorporate position-dependent corrections for this refraction to reach required weak lensing precision.
  • The field dependence means that residuals will vary systematically across the detector, affecting how ellipticity is averaged in shear measurements.
  • The simulation implementation method allows the effect to be tested in end-to-end survey simulations without altering the core optical model.
  • Similar thick-filter designs in other space-based imagers could produce comparable lateral shifts that also require explicit modeling.

Load-bearing premise

The image simulations accurately capture the ray paths through the filter substrate without unmodeled aberrations or manufacturing variations, and the stated Roman weak lensing requirements are the correct benchmark for acceptable residuals.

What would settle it

Direct comparison of PSF size and ellipticity measured on images with and without the filter refraction effect included, at the 0.3 percent level across multiple bands and field positions, would confirm or refute the reported residuals.

Figures

Figures reproduced from arXiv: 2606.11305 by Anthony Harbo Torres, Charuhas Shiveshwarkar, Christopher M. Hirata, Federico Berlfein, Nihar Dalal, Rachel Mandelbaum, Tianqing Zhang.

Figure 1
Figure 1. Figure 1: Schematic illustration of chromatic refraction in the Roman WFI filter substrate, strongly exaggerated for visualization purposes. As shown, light rays of different wavelengths refract by slightly different amounts as they pass through the curved transmissive filter, causing them to propagate in different directions and reach their focus position at different (wavelength￾dependent) locations relative to th… view at source ↗
Figure 2
Figure 2. Figure 2: Schematic 2-D diagram of the notation and ray geometry described in Sec. 2.2 to model filter-substrate refraction. The horizontal and vertical axis represent the optical-axis coordinate 𝑧 and transverse coordinate 𝑞, respectively. The incident beam is represented by its chief ray, which leaves the exit pupil at an angle 𝜃 relative to the optical axis. The filter is represented by two curved refracting surf… view at source ↗
Figure 3
Figure 3. Figure 3: Refractive index of the Roman WFI fused silica (Suprasil 3001) filter substrate as a function of wavelength. The substrate manufacturer provides the measured refractive-index at discrete wavelengths (red points), as well as the best fit parameters to the Sellmeier relation, showed in Equation (1), to construct the model fit (black solid line). The shaded regions indicate the wavelength coverage of the eigh… view at source ↗
Figure 4
Figure 4. Figure 4: Comparison of the analytic predictions for the chromatic lateral and longitudinal shifts with measurements from the full Roman ray-tracing model, evaluated at the blue edge of each filter relative to the filter effective wavelength, i.e. Δ𝑥 (𝜆blue; 𝜆eff ), Δ𝑦(𝜆blue; 𝜆eff ), and Δ𝑧 (𝜆blue; 𝜆eff ). The top panels show the predicted shifts (solid lines) and ray-traced values (dashed lines) as a function of in… view at source ↗
Figure 5
Figure 5. Figure 5: Example broadband Roman PSF for an average galaxy SED (see Sec. 3.1) in H158 and the corresponding image residuals induced by the two filter-substrate refraction effects: decentering and defocus. For visualization, the PSF shown is located at the edge of the focal plane, where the effect is largest. The left column shows the nominal PSF with no added refraction-induced aberrations, while the middle and rig… view at source ↗
Figure 6
Figure 6. Figure 6: Filter dependence of the PSF residuals induced by filter-substrate refraction for an average galaxy SED, shown separately for the wavelength-dependent defocus term (blue) and decentering term (orange). The three columns show, from left to right, the absolute fractional error in the trace of the PSF second moments, | 𝛿𝑇/𝑇|, and the absolute ellipticity residuals, | 𝛿𝑒1 | and | 𝛿𝑒2 |. The error bars indicate… view at source ↗
Figure 7
Figure 7. Figure 7: Similar to [PITH_FULL_IMAGE:figures/full_fig_p012_7.png] view at source ↗
Figure 8
Figure 8. Figure 8: Spatial dependence of the dominant decentering contribution to the PSF residuals for an average galaxy SED across the full Roman focal plane, shown here for the H158 filter. The two panels show the absolute fractional PSF size residual, 𝛿𝑇/𝑇, and the absolute PSF ellipticity residual, 𝛿𝑒 = √︃ 𝛿𝑒2 1 + 𝛿𝑒2 2 , evaluated on a 10 × 10 grid of positions within each of the 18 SCAs. In the ellipticity panel, the … view at source ↗
Figure 9
Figure 9. Figure 9: Similar to [PITH_FULL_IMAGE:figures/full_fig_p013_9.png] view at source ↗
Figure 10
Figure 10. Figure 10: Comparison of the practical photon-shooting implementation of the decentering effect with the FFT-based reference calculation for an average galaxy SED. The three columns show the differences between the photon-shooting and FFT implementations for the PSF size and shape diagnostics, namely | 𝛿𝑇phot/𝑇|, | 𝛿𝑒phot 1 |, and | 𝛿𝑒phot 2 |. The lines, colors and panels are similar to those in [PITH_FULL_IMAGE:f… view at source ↗
read the original abstract

For broadband imaging surveys, filter-substrate refraction causes light at different wavelengths to follow slightly different paths through the filter substrate before reaching the detector. This effect produces two chromatic perturbations to the point spread function (PSF): a shift in the effective focal position along the optical axis (longitudinal shift), which manifests as a defocus-like perturbation, and a wavelength-dependent displacement of the image position in the focal plane (lateral shift), which manifests as image decentering. Using image simulations, we provide the first study of these two effects independently across all eight Roman imaging bands and over the full focal plane. We compute the resulting PSF and photometric errors from images with and without the effect included, and compare the magnitude of the effect to the Roman science requirements. We find that the lateral shift is the dominant contribution, producing PSF size and ellipticity residuals in most bands of order ~0.3-0.4%. These exceed the Roman science requirements for weak lensing by roughly an order of magnitude. The effect is also strongly field dependent, increasing toward the edges of the focal plane. By contrast, flux residuals remain below one third of the 1% requirement for most bands, except in R062 and W146. We find the longitudinal shift to be subdominant and negligible in most bands, including the weak lensing bands. Finally, we implement the dominant lateral-shift effect in a framework suitable for large-scale image simulations and validate that the resulting PSF size and shape changes are accurately reproduced. Overall, we find that filter-substrate refraction is a relevant chromatic effect for Roman PSF modeling, and we provide tools to model and incorporate it in large-scale image simulations.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

1 major / 1 minor

Summary. The manuscript uses image simulations to study chromatic perturbations to the Roman Space Telescope PSF arising from filter-substrate refraction across all eight imaging bands and the full focal plane. It separates the effects into a subdominant longitudinal (defocus-like) shift and a dominant lateral shift, reports that the latter produces PSF size and ellipticity residuals of order 0.3-0.4% (exceeding weak-lensing requirements by roughly an order of magnitude) with strong field dependence, finds flux residuals mostly acceptable, and implements plus validates a simplified lateral-shift model for large-scale simulations.

Significance. If the simulation outputs are accurate, the work identifies a previously unexamined chromatic systematic relevant to Roman weak-lensing PSF modeling and supplies a practical implementation for large simulations; this is a concrete contribution to mission-specific instrumentation analysis.

major comments (1)
  1. [Abstract] Abstract: the headline quantitative result (lateral-shift residuals of ~0.3-0.4% exceeding requirements by ~10x) is load-bearing for the central claim yet rests entirely on the fidelity of the image simulations in isolating wavelength-dependent ray paths through the substrate; the manuscript reports no independent cross-checks against analytical ray tracing, closed-form lateral-shift formulas, or laboratory measurements to bound possible systematic offsets in the modeled shift amplitude.
minor comments (1)
  1. [Abstract] The abstract references 'the Roman science requirements for weak lensing' without quoting the numerical thresholds used for the order-of-magnitude comparison; adding the explicit values would improve clarity.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for the careful review and the recommendation for major revision. We address the single major comment below, agreeing that additional validation strengthens the work and outlining the planned changes.

read point-by-point responses

  1. Referee: [Abstract] Abstract: the headline quantitative result (lateral-shift residuals of ~0.3-0.4% exceeding requirements by ~10x) is load-bearing for the central claim yet rests entirely on the fidelity of the image simulations in isolating wavelength-dependent ray paths through the substrate; the manuscript reports no independent cross-checks against analytical ray tracing, closed-form lateral-shift formulas, or laboratory measurements to bound possible systematic offsets in the modeled shift amplitude.

    Authors: We agree that the lack of explicit independent cross-checks is a limitation of the current manuscript. In the revised version we will add a new subsection to the Methods section that derives the expected lateral shift from the closed-form expression for refraction through a plane-parallel substrate, Δx(λ) = d · (n(λ) - 1)/n(λ) · tan(i), where d is the substrate thickness and i the angle of incidence, and directly compares these analytic predictions to the shifts measured in the image simulations across multiple field positions and bands. The comparison will be shown in a new figure with residuals quantified to <1 %. We will also state that laboratory measurements of the actual Roman filter assemblies are not available in the literature and lie outside the scope of this modeling study, while the refractive indices are taken from standard tabulated values. These additions will bound possible systematic offsets in the simulation pipeline. revision: yes

Circularity Check

0 steps flagged

No significant circularity; results from independent forward simulations

full rationale

The paper derives PSF size/ellipticity residuals and field dependence directly from ray-tracing image simulations of wavelength-dependent refraction through the filter substrate. No parameters are fitted to the reported residuals, no self-citations supply load-bearing uniqueness theorems or ansatzes, and the lateral-shift model is validated by direct comparison to the full simulations rather than by construction. The derivation chain is therefore self-contained against external optical modeling benchmarks.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The central claim rests on the assumption that standard geometric optics and refraction laws govern the filter-substrate interaction; no free parameters, new entities, or ad-hoc axioms are mentioned in the abstract.

axioms (1)
  • standard math Standard laws of refraction and geometric optics apply to light propagation through the filter substrate.
    Implicit basis for the image simulations described in the abstract.

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