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FDTD Analysis of Guided Electromagnetic Wave Interaction with Time-Modulated Dielectric MediumOne-Dimensional (1D) FDTD Method: Background Theory and Formulation

FDTD Analysis of Guided Electromagnetic Wave Interaction with Time-Modulated Dielectric Medium:... [This chapter begins with a recapitulation of key theories pertaining to classical electromagnetism: Maxwell’s equations, constitutive relations and electromagnetic (EM) boundary conditions. After that, the importance of full wave and asymptotic computational EM frameworks are highlighted, with emphasis on the application purview of finite-difference time-domain (FDTD) method. Then, starting from the Maxwell’s curl equations, the flux density-based formulation of FDTD update equations for space-time electric and magnetic fields is developed for one-dimensional (1D) problems. Utilizing bounce-diagram visualizations inspired by transmission line theory, transverse electromagnetic (TEM) wave propagation phenomena in both free-space and through dielectric slabs are demonstrated using 1D-FDTD method. In the process, hard/soft-source realization issues, as well as the need for implementing Perfectly Matched Layers (PML) are described. Finally, the choice of cell size and time-stepping, and the relation of these parameters with numerical dispersion and stability (CFL criterion) are discussed.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

FDTD Analysis of Guided Electromagnetic Wave Interaction with Time-Modulated Dielectric MediumOne-Dimensional (1D) FDTD Method: Background Theory and Formulation

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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
7 –27
DOI
10.1007/978-981-19-1630-4_2
Publisher site
See Chapter on Publisher Site

Abstract

[This chapter begins with a recapitulation of key theories pertaining to classical electromagnetism: Maxwell’s equations, constitutive relations and electromagnetic (EM) boundary conditions. After that, the importance of full wave and asymptotic computational EM frameworks are highlighted, with emphasis on the application purview of finite-difference time-domain (FDTD) method. Then, starting from the Maxwell’s curl equations, the flux density-based formulation of FDTD update equations for space-time electric and magnetic fields is developed for one-dimensional (1D) problems. Utilizing bounce-diagram visualizations inspired by transmission line theory, transverse electromagnetic (TEM) wave propagation phenomena in both free-space and through dielectric slabs are demonstrated using 1D-FDTD method. In the process, hard/soft-source realization issues, as well as the need for implementing Perfectly Matched Layers (PML) are described. Finally, the choice of cell size and time-stepping, and the relation of these parameters with numerical dispersion and stability (CFL criterion) are discussed.]

Published: Apr 20, 2022

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