title: Implicit high-order unconditionally stable complex envelope algorithm for solving the time-dependent Maxwell's equations.
abstract: 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.
authors.affiliation: Photonics Center, College of Physics, Nankai University, Tianjin 300071, China.
authors.forename: Shuqi
authors.initials: S
authors.lastname: Chen
authors.forename: Weiping
authors.initials: W
authors.lastname: Zang
authors.forename: Axel
authors.initials: A
authors.lastname: Schülzgen
authors.forename: Jinjie
authors.initials: J
authors.lastname: Liu
authors.forename: Lin
authors.initials: L
authors.lastname: Han
authors.forename: Yong
authors.initials: Y
authors.lastname: Zeng
authors.forename: Jianguo
authors.initials: J
authors.lastname: Tian
authors.forename: Feng
authors.initials: F
authors.lastname: Song
authors.forename: Jerome V
authors.initials: JV
authors.lastname: Moloney
authors.forename: Nasser
authors.initials: N
authors.lastname: Peyghambarian