Radial Structure of OAM-Carrying Fundamental X-Waves

Agasti, Souvik; Ornigotti, Marco

doi:10.3390/app11010169

Cited by 7 publications

(3 citation statements)

References 36 publications

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“…Finally, a recent theoretical development indicates an intriguing relationship between pulse width (a temporal DoF) and the maximum OAM-order of the beam (a spatial DoF). It appears that the pulse width sets an upper limit on the maximum OAM-order that can be sustained by the wave packet [65,66,[383][384][385][386]. This limit has been examined so far in the context of X-waves and awaits to be studied for baseband ST wave packets.…”

Section: Oam In Spatio-temporally Structured Pulsed Fieldsmentioning

confidence: 99%

Space-time wave packets

Yessenov¹,

Hall²,

Schepler³

et al. 2022

Preprint

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Space-time' (ST) wave packets constitute a broad class of pulsed optical fields that are rigidly transported in linear media without diffraction or dispersion, and are therefore propagation-invariant in absence of optical nonlinearities or waveguiding structures. Such wave packets exhibit unique characteristics, such as controllable group velocities in free space and exotic refractive phenomena. At the root of of these behaviors is a fundamental feature underpinning ST wave packets: their spectra are not separable with respect to the spatial and temporal degrees of freedom. Indeed, the spatio-temporal structure is endowed with non-differentiable angular dispersion, in which each spatial frequency is associated with a single prescribed wavelength. Furthermore, deviation from this particular spatio-temporal structure yields novel behaviors that depart from propagation invariance in a precise manner, such as acceleration with an arbitrary axial distribution of the group velocity, tunable dispersion profiles, and Talbot effects in space-time. Although the basic concept of ST wave packets has been known since the 1980's, only very recently has rapid experimental development emerged. These advances are made possible by innovations in spatio-temporal Fourier synthesis, thereby opening a new frontier for structured light at the intersection of beam optics and ultrafast optics. Furthermore, a plethora of novel spatio-temporally structured optical fields (such as flying-focus wave packets, toroidal pulses, and ST optical vortices) are now providing a swathe of surprising characteristics, ranging from tunable group velocities to transverse orbital angular momentum. We review the historical development of ST wave packets, describe the new experimental approach for their efficient synthesis, and enumerate the various new results and potential applications for ST wave packets and other spatio-temporally structured fields that are rapidly accumulating, before casting an eye on a future roadmap for this field.

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Section: Oam In Spatio-temporally Structured Pulsed Fieldsmentioning

confidence: 99%

Space-time wave packets

Yessenov¹,

Hall²,

Schepler³

et al. 2022

Preprint

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“…In this limit, a standard classical approach based on Maxwell's equations has been used which leads to a set of coupled nonlinear Schrödinger equations [20], which describes the behavior of optical fields in nonlinear dispersive media which has been seen diversely in the phenomena e.g. self-focusing of ultrashort pulses [21][22][23], pulse generation [24] and fiber solitons [25]. However, there are interesting unavoidable quantum effects that cannot be visible in this classical approach.…”

Section: Introductionmentioning

confidence: 99%

Numerical simulation of Kerr nonlinear systems; analyzing non-classical dynamics

Agasti

2019

J. Phys. Commun.

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We simulate coherent driven free dissipative Kerr nonlinear system numerically using Euler's method by solving Heisenberg equation of motion and time evolving block decimation (TEBD) algorithm, and demonstrate how the numerical results are analogous to classical bistability. The comparison with analytics show that the TEBD numerics follow the quantum mechanical exact solution obtained by mapping the equation of motion of the density matrix of the system to a Fokker-Plank equation . Comparing between two different numerical techniques, we see that the semi-classical Euler's method gives the dynamics of the system field of one among two coherent branches, whereas TEBD numerics generate the superposition of both of them. Therefore, the time dynamics determined by TEBD numerical method undergoes through a non-classical state which is also shown by determining second order correlation function.

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“…This fact could seem surprising since the interest in OAM of light started and developed over the same decades, at first for monochromatic light [8,9], and later for ultrashort pulses [10][11][12][13][14]. Only recently vortex-carrying X-waves and other diffraction-free pulses with OAM have started to gain attention [15][16][17][18][19].…”

Section: Introductionmentioning

confidence: 99%

Broadband X-waves with orbital angular momentum

Porras,

García-Álvarez

2021

Preprint

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We describe the minimal diffraction-free and dispersion-free, superluminal wave packets (X-waves and generic superluminal localized waves) that can carry a given amount of units m of orbital angular momentum (OAM) per photon. Even if their frequency spectrum is wide enough to synthesize a unipolar pulse, OAM imposes a temporal pulse shape with as many zeroes as units of OAM, and therefore |m|/2 temporal oscillations. All the frequencies in the broadband spectrum are displayed, like in a rainbow, from the bluer ones in the vicinity of the vortex to the redder ones in the wave periphery. At the same time, the whole wave paclet experiences a blue shift proportional to |m|. As a result of the radial red shift and the OAM blue shift, the colour of the brilliant ring around the central vortex is independent of OAM, and solely determined by the broadband source spectrum. Given the very peculiar properties of X-waves with OAM, their generation and use, instead of standard Laguerre-Gauss modes, could improve the performance of OAM-based communication and quantum cryptographic systems, as well as the efficiency of the generation of high harmonics and attosecond pulses with OAM.

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Radial Structure of OAM-Carrying Fundamental X-Waves

Cited by 7 publications

References 36 publications

Space-time wave packets

Space-time wave packets

Numerical simulation of Kerr nonlinear systems; analyzing non-classical dynamics

Broadband X-waves with orbital angular momentum

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