Wave Analysis and Homogenization of a Spatiotemporally Modulated Wire Medium

Kreiczer, Michael; Hadad, Yakir

doi:10.1103/physrevapplied.16.054003

Cited by 10 publications

(2 citation statements)

References 41 publications

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“…From a practical perspective, synthetic motion can be added to the grid in the form of traveling-wave spacetime modulation schemes [15,76]. To this end, the metal strips that form the grid can be loaded with reconfigurable lumped elements, such as time-modulated capacitors or varactor diodes [30,35,77]. This would be an appropriate solution for radio-frequency designs.…”

Section: Goos-hänchen Shiftmentioning

confidence: 99%

“…In fact, the electromagnetic response provided by a traveling-wave modulation differs in many ways from the response of a moving dielectric material [20,26]. Curiously, in the homogenization limit it is possible to precisely link the response of some space-time crystals with the response of an equivalent moving medium [28][29][30]. However, it is underlined that such equivalence is applicable only in the effective medium limit and for nondispersive isotropic crystals.…”

Section: Introductionmentioning

confidence: 99%

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Analysis of Metallic Space-Time Gratings Using Lorentz Transformations

Alex‐Amor¹,

Molero²,

Silveirinha³

2023

Phys. Rev. Applied

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This paper presents an analytical framework for the study of scattering and diffraction phenomena in space-time-modulated metallic gratings. Using a Lorentz transformation, it is shown that a particular class of space-time-modulated gratings behave effectively as moving media. We take advantage of this property to derive a closed analytical solution for the wave scattering problem. In particular, using our formalism it is possible to avoid space-time Floquet-Bloch expansions, as the solution of the problem in the original laboratory frame (grating parameters are periodic in space and time) is directly linked to a comoving frame where the metallic grating is time invariant (grating parameters are periodic only in space). In this way, we identify a fundamental connection between moving metallic gratings and space-time-modulated metamaterials, and exploit this link to study the nonreciprocal response of the structure. Some limitations and difficulties of the alternative nonrelativistic Galilean approach are discussed and the benefits of the Lorentz approach are highlighted. Finally, some analytical results are presented in order to validate the formalism. The results include scenarios involving TM (p) and TE (s) normal and oblique incidence, even beyond the onset of the diffraction regime. Furthermore, we show how the synthetic Fresnel drag can tailor the Goos-Hänchen effect and create a specular point shifted towards the direction of the synthetic motion, independent of the sign of the incidence angle.

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