A Memory-Efficient Formulation of the Unconditionally Stable FDTD Method for Solving Maxwell's Equations

2007 ◽  
Vol 55 (12) ◽  
pp. 3729-3733 ◽  
Author(s):  
Yun Yi ◽  
Bin Chen ◽  
Wei-Xing Sheng ◽  
Yu-Ling Pei
Keyword(s):  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Fdtd Method ◽  
Unconditionally Stable ◽  
Memory Efficient

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.

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