Reflection and Transmission of an Electromagnetic X-Wave Incident on a Planar Air-Dielectric Interface: Spectral Analysis

Shaarawi, Amr M.; Besieris, Ioannis M.; Attiya, Ahmed M.; El-Diwany, E.

doi:10.2528/pier00042502

Cited by 16 publications

(12 citation statements)

References 24 publications

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“…To the best of our knowledge, there were no previous experimental tests of the refraction of propagation-invariant optical wave packets. There have been a few theoretical studies of the refraction of X-waves [323][324][325][326] and FWMs [327][328][329][330]. These studies have focused on the changes in the spatio-temporal structure of the wave packets upon reflection or transmission.…”

Section: Group-velocity Inversionmentioning

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: Group-velocity Inversionmentioning

confidence: 99%

Space-time wave packets

Yessenov¹,

Hall²,

Schepler³

et al. 2022

Preprint

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“…We are primarily interested in applying X-waves for the detection and identification of buried objects. Towards this goal, we hope that the method introduced in this paper together with previous work on the transmission and reflection of X-waves from semi-infinite media [5][6][7][8] provide the basic tools for studying the scattering of X-waves from buried structures. 42, 600-611, 1994.…”

Section: Discussionmentioning

confidence: 98%

“…Such properties make them worthy candidates for applications involving detection and identifications of buried objects. In previous work, the transmission of one type of LW, the X-wave, through a planar interface separating two different media has been investigated [5][6][7]. This has been undertaken for acoustic as well as electromagnetic waves.…”

Section: Introductionmentioning

confidence: 99%

Diffraction of a Transverse Electric (TE) X-Wave by Conducting Objects

Attiya¹,

El-Diwany²,

Shaarawi³

et al. 2002

PIER

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A study of the diffraction and scattering of a transverse electric X-wave by conducting bodies is presented based on the timedomain, uniform theory of diffraction method and the pulsed plane wave representation of an X-wave. The latter allows the calculation of the diffraction and scattering of each pulsed plane wave component of the incident X-wave at the observation point. The superposition of the individual diffracted and scattered pulsed plane wave components yields the diffracted and scattered field due to an incident X-wave. First, the scattering from a perfectly conducting infinite wedge is studied. Then, the case of a circular conducting disk is considered as an example of a finite scatterer. Numerical results illustrating the effectiveness of the approach, as well as an estimate of the limits of its applicability, are provided.

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“…Our work is a preliminary one to find the field at a focal point of reflector (embedded in a nonlinear medium) such as circular, spherical or parabolic reflector using Maslov's Method or any other method as geometrical or physical optics. Many authors have explored the reflection and transmission of waves at the interface of linear and nonlinear medium [20][21][22][23][24][25]. The main difference in our formulism is that the wave reflected completely due to PEC plane, i.e., no transmission.…”

Section: Applicationmentioning

confidence: 99%

Uniform Plane Wave Reflection From Pec Plane Embedded in a Nonlinear Medium

Hussnain¹,

Mughal²

2011

PIER M

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Abstract-Reflection from a perfect electric conductor (PEC) plane of infinite dimensions embedded in a second order nonlinear medium is studied. The reflected wave has two parts, one due to linear behavior, the other due to nonlinear behavior of the medium. The expressions of the reflection coefficients for parallel and perpendicular polarization cases are obtained. The reduction of reflection coefficient to a linear medium case is also reported. Dependence of the said coefficients on incident electric field intensity and the angle of incidence is also plotted.

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Reflection and Transmission of an Electromagnetic X-Wave Incident on a Planar Air-Dielectric Interface: Spectral Analysis

Cited by 16 publications

References 24 publications

Space-time wave packets

Space-time wave packets

Diffraction of a Transverse Electric (TE) X-Wave by Conducting Objects

Uniform Plane Wave Reflection From Pec Plane Embedded in a Nonlinear Medium

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