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REVIEW 3 major objections 5 minor 49 references

Long-distance axial spectral encoding using space-time wave packets

T0 review · 3 major / 5 minor · reviewed 2026-08-16 · deepseek-v4-flash

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Pith's one-line read Space-time wave packets can be programmed so their on-axis color shifts predictably along 200 m of open air.

desk verdict A credible 200 m demonstration of axial spectral encoding that is undermined by an uncontrolled alignment assumption; worth refereeing, but the central figure needs an error budget before the ranging claim can stand. read the letter →

arxiv 2505.00895 v1 pith:YO6GR6D5 submitted 2025-05-01 physics.optics

Layton A. Hall , Murat Yessenov , Miguel A. Romer , Ayman F. Abouraddy This is my paper · ORCID
classification physics.optics
keywords space-timewavepacketsaxialspectralencodingpropagation-invariantbeamsrangingLIDARopen-airlaserrangetiltanglespatiallightmodulator
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

The paper claims that specially structured light pulses called space-time wave packets can be designed so the color of light measured on their axis changes as they travel, and that this programmed color shift survives real propagation over 200 m in an outdoor laser range. Two configurations are demonstrated: one in which the on-axis spectrum red-shifts or blue-shifts along the beam path, and one in which the spectrum at a fixed position shifts by adjusting an internal parameter of the pulse without changing its total spectrum. The result matters because it suggests a ranging method: the distance to a target could be read directly from the wavelength of scattered light, without time-of-flight electronics. A sympathetic reading takes the reported central wavelengths at three distances as evidence that the encoding is deterministic, approximately linear, and stable enough for outdoor use.

What carries the argument

The mechanism is the spectral support of the STWP on the free-space light cone $k_x^2+k_z^2=(\omega/c)^2$. A propagation-invariant STWP is the conic section of that cone with a tilted plane $\omega-\omega_o=(k_z-k_o)c\tan\theta$; each temporal frequency is tied to one spatial frequency, so the on-axis spectrum is the full source spectrum at every $z$. Axial spectral encoding changes the SLM reflectance to $r(\lambda,x)=\pm k_x(\lambda)x\,\mathrm{rect}[(x\pm x_o(\lambda))/W_o(\lambda)]$, where the mask center $x_o(\lambda)$ and width $W_o(\lambda)$ concentrate each wavelength into a selected spatial band; the relation $z(\lambda_c)\sim (k/k_x)x_o(\lambda_c)$ turns that mask layout into an axial spectral schedule. The finite-energy propagation length is governed either by the spectral uncertainty $\delta\omega$ through $L_{\mathrm{max}}\sim \delta\omega/[c|1-\cot\theta|]$ or, when $\delta\theta\to0$, by the aperture width through $L_{\mathrm{max}}\sim W\Delta x/\lambda_o$; the experiment operates in the latter regime, which is why an outdoor 200-m test meaningfully extends the earlier laboratory-scale demonstration.

What would settle it

Repeat the $z=100$, 150, and 200 m measurements several times at the same cart positions without moving the fiber, and also translate the collecting fiber laterally by a small fraction of the central-lobe width at one fixed $z$; if the recorded central wavelength varies by more than the roughly 1-nm spectrometer resolution at fixed position, or if a lateral offset comparable to the fiber diameter reverses the apparent red/blue trend, then the claimed axial encoding is not cleanly separated from alignment artifacts.

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Extended reading notes

Core claim

On the paper's own terms, the central result is that axial spectral encoding — a design in which each wavelength in an STWP is mapped to a different spatial-frequency band through an amplitude mask on a spatial light modulator — produces a narrow on-axis spectrum whose central wavelength is a designed function of propagation distance, and that this survives propagation over 200 m in an outdoor laser range. For the red-shifting encoding, the on-axis central wavelength moved from 1053 nm at $z=100$ m to 1065 nm at 150 m and 1075 nm at 200 m; for the blue-shifting counterpart it moved from 1073 to 1067 to 1055 nm over the same positions, while a propagation-invariant STWP kept the full 25-nm source spectrum stable at all three positions. In the second configuration, at fixed $z\approx135$ m, changing the spectral tilt angle by $\delta\theta = 2\times10^{-4}$, $1\times10^{-4}$, and $5\times10^{-5}$ degrees shifted the on-axis wavelength from 1058 to 1064 to 1070 nm, without spectral filtering. The approximately linear change of central wavelength with distance is the design target of the mask, and the 200-m survival of that schedule is the new experimental claim.

Load-bearing premise

The load-bearing assumption is that the spectrum recorded by the tripod-mounted 200-µm multimode fiber at each distance is the true on-axis spectrum, with no wavelength-dependent alignment or pointing bias, so the measured central wavelengths reflect the designed encoding rather than the apparatus.

Editorial extensions

If this is right

  • If the axial spectral schedule survives outdoor propagation, ranging can in principle be performed by measuring a single on-axis wavelength rather than by timing a round trip.
  • The approximate linearity of $\lambda_c(z)$ means a two-point calibration converts central wavelength to distance, a much simpler data product than a time-of-flight histogram.
  • The fixed-position tuning configuration offers a way to shift the wavelength returning from a target at a known range without touching the laser spectrum, potentially useful for wavelength-multiplexed sensing.
  • The demonstrated stability of the propagation-invariant STWP spectrum over 100–200 m acts as a control, separating the encoded spectral dynamics from path-averaged atmospheric effects.
  • SLM-based synthesis, rather than fixed high-resolution phase plates, is sufficient for the precision required, so the encoding can be reprogrammed electronically between configurations.

Reading between the lines

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

  • A direct extension the paper does not perform is closing the LIDAR loop: scatter the STWP from a diffusive target at a known $z$ and test whether the backscattered wavelength matches the forward-axis calibration; success would make spectral ranging a real measurement rather than a property of an unobstructed beam.
  • Because encoded STWPs carry different wavelengths in different transverse regions, a target offset from the axis may scatter a different color than the on-axis spectrum predicts; the paper does not characterize this transverse wavelength gradient, which is a likely source of ranging ambiguity in realistic scenes.
  • The reported slopes could be compared quantitatively with the slopes designed into the SLM masks; the paper reports only the measured wavelengths, so a mismatch between designed and measured $\lambda_c(z)$ would separate mask-design accuracy from pointing and alignment errors.
  • The fixed-$z$ spectral tuning suggests a spectral dial that could interrogate a stationary target at multiple wavelengths without a tunable source; the authors do not discuss this application, but it follows directly from their second configuration.
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Editorial analysis

A structured set of objections, weighed in public.

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

Referee Report

3 major / 5 minor

Summary. This paper reports an outdoor propagation experiment at the TISTEF laser range in which space-time wave packets (STWPs) are synthesized with a spatial light modulator and launched over distances of 100–200 m. The authors implement three configurations: a propagation-invariant STWP, a red-shifting axially encoded STWP, and a blue-shifting axially encoded STWP. On-axis spectra are captured with a 200 µm multimode fiber connected to a spectrometer with 1 nm resolution at z = 100, 150, and 200 m. They report a stable ~25 nm source spectrum for the propagation-invariant control, and ~5 nm FWHM encoded spectra with central wavelengths λc = 1053, 1065, and 1075 nm for the red-shifting case and λc = 1073, 1067, and 1055 nm for the blue-shifting case. In a fourth configuration, at fixed z ≈ 135 m, varying the spectral tilt angle δθ shifts λc from 1058 to 1064 to 1070 nm. The manuscript interprets these observations as a demonstration of axial spectral encoding over hundreds of meters in an open-air environment, with potential for spectral-measurement-based LIDAR ranging.

Significance. If the measurements are reliable, this is a significant demonstration: it extends axial spectral encoding from a laboratory proof-of-principle to an open-field environment, and the reported spectral shifts (22 nm over 100 m in the red-shifting case) are far larger than the 1 nm spectrometer resolution. The propagation-invariant control in Fig. 5(a) is a useful internal check, because it shows that the measurement chain does not itself produce large spectral drifts when the on-axis spectrum is expected to be z-independent. The paper does not fit free parameters to the displayed data: the amplitude-mask centers and widths are inherited from the earlier design theory in Ref. [45]. The principal weakness is the lack of experimental characterization of the measurement geometry: no error bars, no repeated acquisitions, and no alignment-tolerance study are reported. Because encoded STWPs have wavelength-dependent transverse profiles, this is not a cosmetic issue but a load-bearing assumption for the quoted λc values. If that assumption is validated with additional measurements, the result would be an important step toward STWP-based axial ranging.

major comments (3)
  1. [Measurement configuration (Fig. 3) and Fig. 5] The central claim depends on the recorded spectrum being the true on-axis (x = 0) spectrum. For the encoded STWPs, each wavelength is associated with a different spatial frequency, so the transverse profile is wavelength-dependent; a lateral displacement of the 200 µm fiber relative to the beam axis will therefore sample a different wavelength interval and can shift λc. The manuscript does not state how x = 0 was established, what alignment tolerance was maintained, or whether repeated acquisitions were made at each z. The control in Fig. 5(a) does not rule out such a bias, because the propagation-invariant STWP carries the full source spectrum across its transverse profile, making its recorded λc insensitive to small lateral offsets. Please provide an alignment procedure, offset-sensitivity measurements or transverse scans, and repeated measurements with error bars for λc at each z.
  2. [Fig. 5(d), fixed-z tuning] The fixed-z result is subject to the same alignment sensitivity. Changing δθ changes the beam geometry and the wavelength-dependent transverse profile; if the fiber is not exactly on axis, a fixed lateral offset can produce apparent λc shifts even though the source spectrum is unchanged. The paper should show either measurements at multiple lateral positions for each δθ, or a procedure that recenters the fiber on the beam for each δθ, so that the reported monotonic trend is not an alignment artifact.
  3. [Fig. 5 and extraction of λc] The quantitative claims of approximately linear shifts in λc with z require an error budget covering at least the distance determination by the range-finder, the spectral calibration, and the extraction of λc from spectra with FWHM ≈ 5 nm recorded at 1 nm resolution. No such budget is provided, and no error bars appear in Fig. 5. Given that the quoted shifts are large relative to the resolution, this is not fatal, but the absence of error bars and repeated points weakens the support for the specific λc values and for the proposed ranging application.
minor comments (5)
  1. [Abstract] The last sentence, 'These results indicates the potential for using spectral measurements for ranging in LIDAR and sensing applications,' should read 'These results indicate...'.
  2. [Fig. 5 caption and Section 3] In the Fig. 5(a) caption, 'δ θ = ×10−4' is missing the coefficient, and in Section 3 the text 'δ θ=2×10−4,×10−4, and 0.5×10−4' also appears to be missing the coefficient '1×10−4'. The units (degrees) should be stated consistently with the definition of δθ.
  3. [Fig. 2 and the expression for r(λ,x)] The expression r(λ,x) = ±kx(λ)x · rect[(x ± xo(λ))/Wo(λ)] would benefit from parentheses around the phase term; as written, '±kx(λ)x·rect' is ambiguous.
  4. [Data availability] The manuscript contains two identical 'DATA AVAILABILITY' sections; one should be removed.
  5. [Section 3, last paragraph] 'This indicates the surprisingly utility of SLMs' should be 'the surprising utility' or 'the surprisingly high utility'.

Circularity Check

0 steps flagged · score 0.0 of 10

No significant circularity: the long-range spectral encoding measurements test an externally designed STWP mask; no fitted parameters or self-citation chain forces the reported lambda_c trends.

full rationale

The paper's central claim is an experimental demonstration: an SLM amplitude mask, designed from prior STWP theory [45] so that z(lambda_c) is proportional to x_o(lambda_c), is implemented and the on-axis spectrum is measured at 100, 150, and 200 m, plus at a fixed z while varying delta_theta. The design relation is an input chosen before the measurements, not a fit to the displayed spectra; the reported lambda_c values are independent spectrometer readouts. The propagation-invariant control in Fig. 5(a) provides an external benchmark: the same apparatus records a stable full source spectrum, confirming that the apparatus does not by itself produce the narrow shifting features seen in Figs. 5(b,c). The L_max formula from prior self-cited work [35] is invoked as background for the propagation regime, but it is not used to generate the encoded spectral shifts and is therefore not load-bearing for the demonstration. No uniqueness theorem is imported, no parameter is fitted to the data, and the prior encoding concept [45] is independently supported by its own laboratory proof-of-principle. The main vulnerability, uncontrolled wavelength-dependent alignment of the 200 micrometer fiber, is a measurement-validity concern rather than a circularity.

Assumptions & free parameters 3 free parameters · 4 assumptions · 0 invented entities

No parameters are fitted to the displayed data; the listed free parameters are hand-chosen SLM design inputs. The result relies on the standard STWP spectral-support model and on two self-cited scaling and design relations from the authors' previous work. No new physical entities are introduced.

free parameters (3)
  • Amplitude-mask center offset x_o(lambda) = not specified numerically
    Design input on the SLM that sets the axial position of each on-axis spectral component through z(lambda_c) ~ (k/kx) x_o(lambda_c). It is chosen by hand to realize the desired red-shift or blue-shift schedule, not fitted to the measured data.
  • Amplitude-mask width W_o(lambda) = not specified numerically
    Design input controlling the transverse width over which each spectral component is spread; chosen by hand in the mask, not fitted. It affects the on-axis bandwidth and the measured lambda_c.
  • Spectral tilt offsets delta_theta for fixed-z tuning = 2e-4, 1e-4, 5e-5 degrees
    Hand-selected values used to shift lambda_c at z=135 m. The paper gives inconsistent notation for these values between the text and Fig. 5, and no uncertainty is attached to them.
assumptions (4)
  • domain assumption Spectral support of an STWP is the conic-section intersection of the light cone with a tilted spectral plane, yielding a rigidly propagating envelope.
    Used in the opening theory paragraph to define the STWP and the tilt angle theta; standard model from the STWP literature, not re-derived here.
  • domain assumption The on-axis spectrum axial position is set by z(lambda_c) ~ (k/kx) x_o(lambda_c) for an amplitude-masked STWP.
    This design relation is taken from the authors' prior paper [45] and is not derived in this manuscript; the demonstration depends on it.
  • domain assumption For delta_theta -> 0, the propagation distance is bounded by Lmax ~ W Delta_x / lambda_o rather than by the spectral-uncertainty formula.
    This scaling, cited from the same group's arXiv paper [35], is used to justify the 200 m reach of the near-invariant STWPs.
  • domain assumption Atmospheric turbulence is negligible because measurements were taken at night with C2n < 1e-14 m^-2/3.
    The paper states this value but provides no turbulence measurement, scintillation analysis, or pointing-error statistics; the stability of the measured central wavelengths rests on this assumption.

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Cite this review

Pith. "Pith review of Long-distance axial spectral encoding using space-time wave packets." pith.science (2026). https://pith.science/paper/YO6GR6D5

@misc{pith2026250500895,
  author       = {Pith},
  title        = {Pith review of: Long-distance axial spectral encoding using space-time wave packets},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/YO6GR6D5}},
  note         = {Machine review of arXiv:2505.00895}
}
read the original abstract

Space-time wave packets (STWPs) are pulsed optical beams whose spatiotemporal structure enables propagation invariance. However, STWPs allow for a unique propagation configuration that we call axial spectral encoding, in which the spectrum on the propagation axis changes with distance. We demonstrate here axial spectral encoding over distances extending for hundreds of meters in an open-field laser range. We verify two distinct configurations: in the first, the on-axis spectrum blue-shifts or red-shifts with propagation distance; and in the second, the spectrum changes at a fixed axial position by altering an internal parameter of the STWP without modifying the wave packet spectrum. These results indicates the potential for using spectral measurements for ranging in LIDAR and sensing applications.

Figures

Figures reproduced from arXiv: 2505.00895 by the authors.

Figure 1
Figure 1. FIG. 1. Concept of axial spectral encoding. (a) Spectral support of [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 3
Figure 3. FIG. 3. The measurement configuration at TISTEF. (a) Photograph [PITH_FULL_IMAGE:figures/full_fig_p003_3.png] view at source ↗
Figure 5
Figure 5. FIG. 5. Measured axially varying spectra at [PITH_FULL_IMAGE:figures/full_fig_p004_5.png] view at source ↗

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Works this paper leans on

49 extracted references · 36 canonical work pages

  1. [45]

    A. M. Allende Motz, M. Yessenov, and A. F. Abouraddy, Axial spectral encoding of space-time wave packets, Phys. Rev. Appl. 15, 024067 (2021)

    work page 2021

  2. [1]

    Yessenov, L

    M. Yessenov, L. A. Hall, K. L. Schepler, and A. F. Abouraddy, Space-time wave packets, Adv. Opt. Photon. 14, 455 (2022)

    2022

  3. [2]

    H. E. Kondakci and A. F. Abouraddy, Diffraction-free pulsed optical beams via space-time correlations, Opt. Express 24, 28659 (2016)

    work page 2016

  4. [3]

    K. J. Parker and M. A. Alonso, The longitudinal iso-phase con- dition and needle pulses, Opt. Express 24, 28669 (2016)

    work page 2016

  5. [4]

    H. E. Kondakci and A. F. Abouraddy, Diffraction-free space- time beams, Nat. Photon. 11, 733 (2017)

    work page 2017

  6. [5]

    Yessenov, B

    M. Yessenov, B. Bhaduri, H. E. Kondakci, and A. F. Abouraddy, Classification of propagation-invariant space-time light-sheets in free space: Theory and experiments, Phys. Rev. A99, 023856 (2019)

    work page 2019

  7. [6]

    J. N. Brittingham, Focus wave modes in homogeneous Maxwell’s equations: Transverse electric mode, J. Appl. Phys. 54, 1179 (1983)

    work page 1983

  8. [7]

    Reivelt and P

    K. Reivelt and P. Saari, Optical generation of focus wave modes, J. Opt. Soc. Am. A 17, 1785 (2000)

    work page 2000

Show all 49 references
  1. [8]

    Reivelt and P

    K. Reivelt and P. Saari, Experimental demonstration of realiz- ability of optical focus wave modes, Phys. Rev. E 66, 056611 (2002)

    2002

  2. [9]

    Saari and K

    P. Saari and K. Reivelt, Evidence of X-shaped propagation- invariant localized light waves, Phys. Rev. Lett. 79, 4135 (1997)

    1997

  3. [10]

    Turunen and A

    J. Turunen and A. T. Friberg, Propagation-invariant optical fields, Prog. Opt. 54, 1 (2010). 5

    2010

  4. [11]

    H. E. Hern ´andez-Figueroa, E. Recami, and M. Zamboni- Rached, eds., Non-diffracting Waves (Wiley-VCH, 2014)

    2014

  5. [12]

    M. A. Porras, Gaussian beams diffracting in time, Opt. Lett. 42, 4679 (2017)

    2017

  6. [13]

    N. K. Efremidis, Spatiotemporal diffraction-free pulsed beams in free-space of the Airy and Bessel type, Opt. Lett. 42, 5038 (2017)

    2017

  7. [14]

    L. J. Wong and I. Kaminer, Ultrashort tilted-pulsefront pulses and nonparaxial tilted-phase-front beams, ACS Photon.4, 2257 (2017)

    2017

  8. [15]

    L. J. Wong, Propagation-invariant space-time caustics of light, Opt. Express 29, 30682 (2021)

    2021

  9. [16]

    B ´ejot and B

    P. B ´ejot and B. Kibler, Spatiotemporal helicon wavepackets, ACS Photon. 8, 2345 (2021)

    2021

  10. [17]

    C. Guo, M. Xiao, M. Orenstein, and S. Fan, Structured 3D lin- ear space–time light bullets by nonlocal nanophotonics, Light Sci. & Appl. 10, 160 (2021)

    2021

  11. [18]

    Guo and S

    C. Guo and S. Fan, Generation of guided space-time wave pack- ets using multilevel indirect photonic transitions in integrated photonics, Phys. Rev. Res. 3, 033161 (2021)

    2021

  12. [19]

    Shiri, S

    A. Shiri, S. Webster, K. L. Schepler, and A. F. Abouraddy, Propagation-invariant space-time supermodes in a multimode waveguide, Optica 9, 913 (2022)

    2022

  13. [20]

    Ramsey, A

    D. Ramsey, A. D. Piazza, M. Formanek, P. Franke, D. H. Froula, B. Malaca, W. B. Mori, J. R. Pierce, T. T. Simpson, J. Vieira, M. Vranic, K. Weichman, and J. P. Palastro, Exact solutions for the electromagnetic fields of a flying focus, Phys. Rev. A 107, 013513 (2023)

    2023

  14. [21]

    Stefa ´nska, P

    K. Stefa ´nska, P. B ´ejot, K. Tarnowski, and K. B, Experimen- tal observation of the spontaneous emission of a space-time wavepacket in a multimode optical fiber, ACS Photon. 10, 727 (2023)

    2023

  15. [22]

    Yessenov, B

    M. Yessenov, B. Bhaduri, L. Mach, D. Mardani, H. E. Kon- dakci, M. A. Alonso, G. A. Atia, and A. F. Abouraddy, What is the maximum differential group delay achievable by a space- time wave packet in free space?, Opt. Express27, 12443 (2019)

    2019

  16. [23]

    Bhaduri, M

    B. Bhaduri, M. Yessenov, D. Reyes, J. Pena, M. Meem, S. R. Fairchild, R. Menon, M. C. Richardson, and A. F. Abouraddy, Broadband space-time wave packets propagating 70 m, Opt. Lett. 44, 2073 (2019)

    2019

  17. [24]

    Malaguti, G

    S. Malaguti, G. Bellanca, and S. Trillo, Two-dimensional enve- lope localized waves in the anomalous dispersion regime, Opt. Lett. 33, 1117 (2008)

    2008

  18. [25]

    Malaguti and S

    S. Malaguti and S. Trillo, Envelope localized waves of the con- ical type in linear normally dispersive media, Phys. Rev. A 79, 063803 (2009)

    2009

  19. [26]

    H. He, C. Guo, and M. Xiao, Nondispersive space–time wave packets propagating in dispersive media, Laser Photon. Rev.16, 2100634 (2022)

    2022

  20. [27]

    L. A. Hall and A. F. Abouraddy, Observation of optical de Broglie-Mackinnon wave packets, Nat. Phys. 19, 435 (2023)

    2023

  21. [28]

    L. A. Hall and A. F. Abouraddy, Canceling and inverting nor- mal and anomalous group-velocity dispersion using space-time wave packets, Laser Photon. Rev. 17, 2200119 (2023)

    2023

  22. [29]

    H. E. Kondakci and A. F. Abouraddy, Self-healing of space- time light sheets, Opt. Lett. 43, 3830 (2018)

    2018

  23. [30]

    Salo and M

    J. Salo and M. M. Salomaa, Diffraction-free pulses at arbitrary speeds, J. Opt. A 3, 366 (2001)

    2001

  24. [31]

    H. E. Kondakci and A. F. Abouraddy, Optical space-time wave packets of arbitrary group velocity in free space, Nat. Commun. 10, 929 (2019)

    2019

  25. [32]

    Bhaduri, M

    B. Bhaduri, M. Yessenov, and A. F. Abouraddy, Anomalous re- fraction of optical space-time wave packets, Nat. Photon. 14, 416 (2020)

    2020

  26. [33]

    Diouf, Z

    M. Diouf, Z. Lin, M. Harling, and K. C. Toussaint, Demon- stration of speckle resistance using space-time light sheets, Sci. Rep. 12, 14064 (2022)

    2022

  27. [34]

    Diouf, Z

    M. Diouf, Z. Lin, M. Harling, K. Krishna, and K. C. Toussaint, Interferometric phase stability from Gaussian and space-time light sheets, Optica 10, 1161 (2023)

    2023

  28. [35]

    L. A. Hall, M. A. Romer, B. L. Turo, T. M. Hayward, R. Menon, and A. F. Abouraddy, Space-time wave packets propagating a kilometer in air, arXiv:2209.03309 (2023)

    2023 arXiv

  29. [36]

    Bhaduri, M

    B. Bhaduri, M. Yessenov, and A. F. Abouraddy, Meters-long propagation of diffraction-free space-time light sheets, Opt. Ex- press 26, 20111 (2018)

    2018

  30. [37]

    Aruga, S

    T. Aruga, S. W. Li, S. Yoshikado, M. Takabe, and R. Li, Nondiffracting narrow light beam with small atmospheric turbulence-influenced propagation, Appl. Opt. 38, 3152 (1999)

    1999

  31. [38]

    Zhang, X

    Z. Zhang, X. Liang, M. Goutsoulas, D. Li, X. Yang, S. Yin, J. Xu, D. N. Christodoulides, N. K. Efremidis, and Z. Chen, Ro- bust propagation of pin-like optical beam through atmospheric turbulence, APL Photon. 4, 076103 (2019)

    2019

  32. [39]

    Clerici, D

    M. Clerici, D. Faccio, A. Lotti, E. Rubino, O. Jedrkiewicz, J. Biegert, and P. D. Trapani, Finite-energy, accelerating Bessel pulses, Opt. Express 16, 19807 (2008)

    2008

  33. [40]

    Valtna-Lukner, P

    H. Valtna-Lukner, P. Bowlan, M. L ¨ohmus, P. Piksarv, R. Tre- bino, and P. Saari, Direct spatiotemporal measurements of ac- celerating ultrashort bessel-type light bullets, Opt. Express 17, 14948 (2009)

    2009

  34. [41]

    Li and J

    Z. Li and J. Kawanaka, Velocity and acceleration freely tun- able straight-line propagation light bullet, Sci. Rep. 10, 11481 (2020)

    2020

  35. [42]

    Yessenov and A

    M. Yessenov and A. F. Abouraddy, Accelerating and deceler- ating space-time optical wave packets in free space, Phys. Rev. Lett. 125, 233901 (2020)

    2020

  36. [43]

    Z. Li, Y . Gu, and J. Kawanaka, Reciprocating propagation of laser pulse intensity in free space, Commun. Phys.4, 87 (2021)

    2021

  37. [44]

    L. A. Hall, M. Yessenov, and A. F. Abouraddy, Arbitrarily ac- celerating space-time wave packets, Opt. Lett. 47, 694 (2022)

    2022

  38. [46]

    Donnelly and R

    R. Donnelly and R. Ziolkowski, Designing localized waves, Proc. R. Soc. Lond. A 440, 541 (1993)

    1993

  39. [47]

    Yessenov, J

    M. Yessenov, J. Free, Z. Chen, E. G. Johnson, M. P. J. Lavery, M. A. Alonso, and A. F. Abouraddy, Space-time wave packets localized in all dimensions, Nat. Commun. 13, 4573 (2022)

    2022

  40. [48]

    Sezginer, A general formulation of focus wave modes, J

    A. Sezginer, A general formulation of focus wave modes, J. Appl. Phys. 57, 678 (1985)

    1985

  41. [49]

    H. E. Kondakci, M. Yessenov, M. Meem, D. Reyes, D. Thul, S. R. Fairchild, M. Richardson, R. Menon, and A. F. Abouraddy, Synthesizing broadband propagation- invariant space-time wave packets using transmissive phase plates, Opt. Express 26, 13628 (2018)

    2018

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