Implicit high-order unconditionally stable complex envelope algorithm for solving the time-dependent Maxwell's equations.
Based on the Padé approximation and multistep method, we propose an implicit high-order unconditionally stable complex envelope algorithm to solve the time-dependent Maxwell's equations. Unconditional numerical stability can be achieved simultaneously with a high-order accuracy in time. As we adopt the complex envelope Maxwell's equations, numerical dispersion and dissipation are very small even at comparatively large time steps. To verify the capability of our algorithm, we compare the results of the proposed method with the exact solutions.
Chen
Shuqi
S
Photonics Center, College of Physics, Nankai University, Tianjin 300071, China.
Zang
Weiping
W
Schülzgen
Axel
A
Liu
Jinjie
J
Han
Lin
L
Zeng
Yong
Y
Tian
Jianguo
J
Song
Feng
F
Moloney
Jerome V
JV
Peyghambarian
Nasser
N