A universal angular-dispersion synthesizer

Hall, Layton A.; Abouraddy, Ayman F.

doi:10.48550/arxiv.2109.13987

Cited by 5 publications

(14 citation statements)

References 59 publications

(94 reference statements)

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“…Examples include focus-wave modes [68][69][70] and X-waves [71,72]. Both of these obstacles are overcome by exploiting the universal angular dispersion synthesizer in [59]. Although such an approach intro-duces arbitrary angular dispersion in one transverse dimension only, recent progress has extended this strategy to both transverse dimensions [73][74][75].…”

Section: Discussionmentioning

confidence: 99%

“…To synthesize dispersive ST wave packets in free space, we make use of the universal angular-dispersion synthesizer described in [59] and depicted in Fig. 4.…”

Section: A Spatio-temporal Spectral Synthesismentioning

confidence: 99%

“…However, this would add to the complexity of the system. Indeed, no known optical device -besides the universal angular-dispersion synthesizer [59] -has reported independent control over both ϕ…”

Section: Appendix: Coupling a Tilted-pulse Front To A Dispersive Mediummentioning

confidence: 99%

“…In contrast to TPFs, the angular dispersion undergirding ST wave packets is 'non-differentiable': the derivative of the propagation angle is not defined at one wavelength [56][57][58]. Such angular dispersion can be produced by a recently developed pulsed-beam shaper that serves as a universal angular-dispersion synthesizer in one dimension [59]. We have recently shown that non-differentiable angular dispersion is the crucial ingredient for tuning the group velocity of a ST wave packet and introducing an arbitrary dispersion profile in free space [57,60].…”

Section: Introductionmentioning

confidence: 99%

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Canceling and inverting normal and anomalous group-velocity dispersion using space-time wave packets

Hall¹,

Abouraddy²

2022

Preprint

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Angular dispersion can counterbalance normal group-velocity dispersion (GVD) that increases the wave-vector length in a dispersive medium. By tilting the wave vector, angular dispersion reduces the axial wave number in this case to match the pre-GVD value. By the same token, however, angular dispersion fails to counterbalance anomalous GVD, which in contrast reduces the wavevector length. Consequently, GVD-cancellation via angular dispersion has not been demonstrated to date in the anomalous dispersion regime. We synthesize here structured femtosecond pulsed beams known as 'space-time' wave packets designed to realize dispersion-cancellation symmetrically in either the normal-or anomalous-GVD regimes by virtue of non-differentiable angular dispersion inculcated into the pulsed field. Furthermore, we also verify GVD-inversion: reversing the GVD sign experienced by the field with respect to that dictated by the chromatic dispersion of the medium itself.

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Section: Discussionmentioning

confidence: 99%

“…To synthesize dispersive ST wave packets in free space, we make use of the universal angular-dispersion synthesizer described in [59] and depicted in Fig. 4.…”

Section: A Spatio-temporal Spectral Synthesismentioning

confidence: 99%

Section: Appendix: Coupling a Tilted-pulse Front To A Dispersive Mediummentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Canceling and inverting normal and anomalous group-velocity dispersion using space-time wave packets

Hall¹,

Abouraddy²

2022

Preprint

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“…38,48 However, the spatio-temporal spectral modulation strategy depicted in Fig. 2(a) serves as a universal angular-dispersion synthesizer, 49 and is capable of producing the requisite non-differentiable angular dispersion along x. This form of non-differentiable angular dispersion enables tunable modal group index and ensures the absence of GVD for hybrid ST modes.…”

Section: Discussionmentioning

confidence: 99%

Severing the link between modal order and group index using hybrid guided space-time modes

Shiri¹,

Abouraddy²

2021

Preprint

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The structure of an optical waveguide determines the characteristics of its guided modes, such as their spatial profile and group index. General features are shared by modes regardless of the waveguiding structure; for example, modal dispersion is inevitable in multimode waveguides, every mode experiences group-velocity dispersion, and higher-order modes are usually slower than their lower-order counterparts. We show here that such trends can be fundamentally altered -altogether severing the link between modal order and group index hybrid and eliminating dispersion -by exploiting hybrid guided space-time modes in a planar multimode waveguide. Such modes are confined in one-dimension by the waveguide and in the other by the spatio-temporal spectral structure of the field itself. Direct measurements of the modal group delays confirm that the group index for low-loss, dispersion-free, hybrid space-time modes can be each tuned away from the group index of the conventional mode of same order, and that the transverse size of these hybrid modes can be varied independently of the modal order and group index. These findings are verified in a few-mode planar waveguide consisting of a 25.5-mm-long, 4-µm-thick silica film deposited on a MgF 2 substrate.

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Observation of optical de Broglie–Mackinnon wave packets

Hall

Abouraddy

2023

Nat. Phys.

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de Broglie wave packets accompanying moving particles are dispersive and lack an intrinsic length scale dictated solely by the particle mass and velocity. Mackinnon proposed almost 45 years ago a localized non-dispersive wave packet constructed out of dispersive de Broglie phase waves via a Copernican inversion of the roles of particle and observer, whereupon an intrinsic length scale emerges by accounting for every possible observer -rather than by introducing an ad hoc uncertainty in the particle velocity. The de Broglie-Mackinnon (dBM) wave packet has nevertheless remained to date a theoretical entity. Here, we report the observation of optical dBM wave packets using paraxial space-time-coupled pulsed laser fields in presence of anomalous group-velocity dispersion. Crucially, the bandwidth of dBM wave packets has an upper limit that is compatible with the wave-packet group velocity and equivalent mass. In contrast to previously observed linear propagation-invariant wave packets whose spatio-temporal profiles at any axial plane are X-shaped, those for dBM wave packets are uniquely O-shaped (circularly symmetric with respect to space and time). By sculpting their spatio-temporal spectral structure, we produce dispersion-free dBM wave packets in the dispersive medium, observe their circularly symmetric spatio-temporal profiles, and tune the field parameters corresponding to particle mass and velocity that uniquely determine the wave-packet length scale.

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A universal angular-dispersion synthesizer

Cited by 5 publications

References 59 publications

Canceling and inverting normal and anomalous group-velocity dispersion using space-time wave packets

Canceling and inverting normal and anomalous group-velocity dispersion using space-time wave packets

Severing the link between modal order and group index using hybrid guided space-time modes

Observation of optical de Broglie–Mackinnon wave packets

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