An improved characteristic based methods for the time-domain Maxwell equations

1997 ◽  
Author(s):  
Liu Yi ◽  
Tang Li ◽  
Gao Benqing
Keyword(s):  
Time Domain ◽  
Maxwell Equations ◽  
The Time Domain

scholarly journals The time domain numerical method of three-dimensional conductors including radiation with lumped parameter circuit

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Souma Jinno ◽  
Shuji Kitora ◽  
Hiroshi Toki ◽  
Masayuki Abe
Keyword(s):  
Numerical Method ◽  
Time Domain ◽  
Maxwell Equations ◽  
Three Dimensional ◽  
New Formalism ◽  
Vector Potentials ◽  
Lumped Parameter ◽  
Radiation Theory ◽  
Stable Solutions ◽  
The Time Domain

AbstractWe formulate a numerical method on the transmission and radiation theory of three-dimensional conductors starting from the Maxwell equations in the time domain. We include the delay effect in the integral equations for the scalar and vector potentials rigorously, which is vital to obtain numerically stable solutions for transmission and radiation phenomena in conductors. We provide a formalism to connect the conductors to any passive lumped-parameter circuits. We show one example of numerical calculations, demonstrating that the new formalism provides stable solutions to the transmission and radiation phenomena.

TIME DOMAIN ANALYSIS OF HELMHOLTZ SOLITON PROPAGATION USING THE TLM METHOD

2012 ◽  
Vol 21 (03) ◽  
pp. 1250031 ◽  
Author(s):  
P. CHAMORRO-POSADA ◽  
G. S. McDONALD
Keyword(s):  
Time Domain ◽  
Maxwell Equations ◽  
Soliton Solutions ◽  
Time Domain Analysis ◽  
Optical Solitons ◽  
Transmission Line Matrix ◽  
Soliton Propagation ◽  
Nonlinear Media ◽  
Tlm Method ◽  
The Time Domain

The transmission line matrix method is used to study Helmholtz solitons as solutions of the two-dimensional time-domain Maxwell equations in nonlinear media. This approach permits to address, in particular, the propagation and intrinsic stability properties of subwavelength soliton solutions of the scalar nonlinear wave equation and the behavior of optical solitons at arbitrary interfaces. Various numerical issues related to the analysis of soliton beams using the time-domain method are also discussed.

Interpolating wavelets for the solution of Maxwell equations in the time domain

1998 ◽  
Vol 34 (5) ◽  
pp. 2775-2778 ◽  
Author(s):  
G. Rubinacci ◽  
A. Tamburrino ◽  
S. Ventre ◽  
F. Villone
Keyword(s):  
Time Domain ◽  
Maxwell Equations ◽  
The Time Domain ◽  
Interpolating Wavelets
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