Solving Maxwell’s Equations in Space-time: The Wave Equation

2012 ◽  
pp. 113-139
Keyword(s):  
Wave Equation ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Space Time

Maxwell fields satisfying Huygens's principle

1968 ◽  
Vol 64 (3) ◽  
pp. 779-785 ◽  
Author(s):  
H. P. Künzle
Keyword(s):  
Wave Equation ◽  
Plane Wave ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Maxwell Fields ◽  
Wave Space

AbstractIt is shown that Huygens's principle holds for the solutions of Maxwell's equations for p-forms of all degrees in a gravitational plane wave space, while the solutions of the wave equation for 1, 2, and 3-forms, however, may have tails.

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.

scholarly journals Space–time variational methods for Maxwell's equations

PAMM ◽  
2019 ◽  
Vol 19 (1) ◽  
Author(s):  
Julia I. M. Hauser ◽  
Olaf Steinbach
Keyword(s):  
Variational Methods ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Space Time
Sign in / Sign up

Export Citation Format

Share Document