Discretization of Modified Maxwell's Equations using Exponential Time Differencing Algorithm in the Periodic FDTD Method

2006 ◽  
Author(s):  
Guiping Zheng ◽  
A.A. Kishk ◽  
A.B. Yakovlev ◽  
A.W. Glisson
Keyword(s):  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Fdtd Method ◽  
Exponential Time ◽  
Exponential Time Differencing

Analyzing photonic space-time crystal with FDTD

2020 ◽  
Vol 34 (06) ◽  
pp. 2050082 ◽  
Author(s):  
Zheng Zhang ◽  
Wenjun Zhang ◽  
Lunwu Zeng
Keyword(s):  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Electromagnetic Wave Propagation ◽  
Fdtd Method ◽  
Space Time ◽  
Crystal Forms ◽  
Time Translation ◽  
Permittivity And Permeability ◽  
Translation Symmetry ◽  
Difference Time

When space (time) translation symmetry is spontaneously broken, the space crystal (time crystal) forms; when permittivity and permeability periodically vary with space (time), the photonic space crystal (photonic time crystal) forms. We rewrote Maxwell’s equations in photonic time crystal, and discretized Maxwell’s equations with finite difference time domain (FDTD) method, deduced the discretized electric and magnetic field, and simulated electromagnetic wave propagation in two-dimensional (2D) photonic space-time crystal and photonic space crystal (or photonic crystal), and discussed the effect of parameters on the band gap.

GMES: A Python package for solving Maxwell’s equations using the FDTD method

2013 ◽  
Vol 184 (4) ◽  
pp. 1272-1279 ◽  
Author(s):  
Kyungwon Chun ◽  
Huioon Kim ◽  
Hyounggyu Kim ◽  
Kil Su Jung ◽  
Youngjoo Chung
Keyword(s):  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Fdtd Method ◽  
Python Package
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