A Second Order Discretization of Maxwell's Equations in the Quasi-Static Regime on OcTree Grids

2011 ◽  
Vol 33 (5) ◽  
pp. 2805-2822 ◽  
Author(s):  
Lior Horesh ◽  
Eldad Haber
Keyword(s):  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Second Order ◽  
Static Regime

MAXWELL'S EQUATIONS AND MATRIX ELEMENTS IN QUANTUM ELECTRODYNAMICS

1961 ◽  
Vol 39 (1) ◽  
pp. 141-144
Author(s):  
H. A. Venables
Keyword(s):  
Quantum Electrodynamics ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Second Order ◽  
Matrix Elements

Matrix elements of second-order processes in quantum electrodynamics are obtainable directly from the use of Maxwell's and Dirac's equations.

scholarly journals Modified Splitting FDTD Methods for Two-Dimensional Maxwell’s Equations

2017 ◽  
Vol 2017 ◽  
pp. 1-11
Author(s):  
Liping Gao ◽  
Shouhui Zhai
Keyword(s):  
Maxwell’S Equations ◽  
Maxwell Equations ◽  
Maxwell's Equations ◽  
Scattering Problem ◽  
Fdtd Method ◽  
Second Order ◽  
Numerical Dispersion ◽  
Two Dimensional ◽  
Fourier Methods ◽  
Fdtd Methods

In this paper, we develop a new method to reduce the error in the splitting finite-difference method of Maxwell’s equations. By this method two modified splitting FDTD methods (MS-FDTDI, MS-FDTDII) for the two-dimensional Maxwell equations are proposed. It is shown that the two methods are second-order accurate in time and space and unconditionally stable by Fourier methods. By energy method, it is proved that MS-FDTDI is second-order convergent. By deriving the numerical dispersion (ND) relations, we prove rigorously that MS-FDTDI has less ND errors than the ADI-FDTD method and the ND errors of ADI-FDTD are less than those of MS-FDTDII. Numerical experiments for computing ND errors and simulating a wave guide problem and a scattering problem are carried out and the efficiency of the MS-FDTDI and MS-FDTDII methods is confirmed.

Sign in / Sign up

Export Citation Format

Share Document