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FDTD Analysis of Guided Electromagnetic Wave Interaction with Time-Modulated Dielectric MediumEM Wave Propagation in Dielectric Medium with Step-Periodic Modulation

FDTD Analysis of Guided Electromagnetic Wave Interaction with Time-Modulated Dielectric Medium:... [In this chapter, we first emphasize upon the unique properties of generic time-periodic permittivity-modulated media like momentum gaps and parametric amplification/absorption. Then we showcase the formulation of a state-transition matrix-based analytical approach for the studies on EM wave propagation in dielectric media having step-periodically varying permittivity (i.e. permittivity switching between two values). We further demonstrate how the numerical solution of system ODEs (ordinary differential equations) using MATLAB can assist in the performance prediction of infinitely extended space-invariant step-modulated dielectric medium. Finally, we deploy the 1D-FDTD-based computational framework developed in earlier chapters to shed light onto the interaction of EM waves with a step-modulated dielectric slab, considering various permittivity contrast, modulation frequency and slab-widths. We point out the main differences between step-periodic and sinusoidal permittivity variation cases in terms of imposed non-linear modulation on the carrier EM wave. We highlight and demonstrate the instability scenario that leads to parametric amplification through numerical examples.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

FDTD Analysis of Guided Electromagnetic Wave Interaction with Time-Modulated Dielectric MediumEM Wave Propagation in Dielectric Medium with Step-Periodic Modulation

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Publisher
Springer Nature Singapore
Copyright
© The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2022
ISBN
978-981-19-1629-8
Pages
51 –64
DOI
10.1007/978-981-19-1630-4_4
Publisher site
See Chapter on Publisher Site

Abstract

[In this chapter, we first emphasize upon the unique properties of generic time-periodic permittivity-modulated media like momentum gaps and parametric amplification/absorption. Then we showcase the formulation of a state-transition matrix-based analytical approach for the studies on EM wave propagation in dielectric media having step-periodically varying permittivity (i.e. permittivity switching between two values). We further demonstrate how the numerical solution of system ODEs (ordinary differential equations) using MATLAB can assist in the performance prediction of infinitely extended space-invariant step-modulated dielectric medium. Finally, we deploy the 1D-FDTD-based computational framework developed in earlier chapters to shed light onto the interaction of EM waves with a step-modulated dielectric slab, considering various permittivity contrast, modulation frequency and slab-widths. We point out the main differences between step-periodic and sinusoidal permittivity variation cases in terms of imposed non-linear modulation on the carrier EM wave. We highlight and demonstrate the instability scenario that leads to parametric amplification through numerical examples.]

Published: Apr 20, 2022

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