TY - CHAP
T1 - The Exact Absorbing Conditions Method in the Analysis of Open Electrodynamic Structures
AU - Sirenko, Kostyantyn
AU - Sirenko, Yuriy
N1 - KAUST Repository Item: Exported on 2021-04-13
PY - 2016/5/25
Y1 - 2016/5/25
N2 - The authors expound the method of exact absorbing boundary conditions, which solves one of the most important theoretical problems in computational electrodynamics, namely, the problem of equivalent replacement of an open (with infinite domain of analysis) initial boundary value problem by a closed (with bounded computation domain) one. This method, being mathematically strict, allows proper formulation and numerical study of transient and steady-state processes in various open resonant systems. The authors present local (in space and time) and non-local exact absorbing conditions for virtual boundaries located in cross-sections of regular waveguides or in free space. The elaborated concept of the so-called virtual feeding waveguides allows to solve many practically interesting radiation problems. The approach outlined in this chapter was implemented in software for solving both scalar (plane and axially symmetric) and vector problems.
AB - The authors expound the method of exact absorbing boundary conditions, which solves one of the most important theoretical problems in computational electrodynamics, namely, the problem of equivalent replacement of an open (with infinite domain of analysis) initial boundary value problem by a closed (with bounded computation domain) one. This method, being mathematically strict, allows proper formulation and numerical study of transient and steady-state processes in various open resonant systems. The authors present local (in space and time) and non-local exact absorbing conditions for virtual boundaries located in cross-sections of regular waveguides or in free space. The elaborated concept of the so-called virtual feeding waveguides allows to solve many practically interesting radiation problems. The approach outlined in this chapter was implemented in software for solving both scalar (plane and axially symmetric) and vector problems.
UR - http://hdl.handle.net/10754/668670
UR - https://link.springer.com/chapter/10.1007%2F978-3-319-31631-4_5
U2 - 10.1007/978-3-319-31631-4_5
DO - 10.1007/978-3-319-31631-4_5
M3 - Chapter
SN - 9783319316307
SP - 225
EP - 326
BT - Electromagnetic Waves in Complex Systems
PB - Springer International Publishing
ER -