Effective numerical integration of traveling wave model for edge‐emitting broad‐area semiconductor lasers and amplifiers
We consider a system of 1 + 2 dimensional partial differential equations which describes dynamics of edge‐emitting broad area semiconductor lasers and amplifiers. The given problem is defined on the unbounded domain. After truncating this domain and defining an auxiliary 1 + 1 dimensional linear Sc...
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Vilnius Gediminas Technical University
2010-11-01
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doaj-af6a111142f64e678a4bbffc143948f32021-07-02T16:42:27ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102010-11-0115410.3846/1392-6292.2010.15.409-430Effective numerical integration of traveling wave model for edge‐emitting broad‐area semiconductor lasers and amplifiersRaimondas Čiegis0Mindaugas Radziunas1Vilnius Gediminas Technical University Saul˙etekio al. 11, LT–10223, Vilnius, LithuaniaWeierstrass Institute for Applied Analysis and Stochastics Mohrenstarsse 39, 10117 Berlin, Germany We consider a system of 1 + 2 dimensional partial differential equations which describes dynamics of edge‐emitting broad area semiconductor lasers and amplifiers. The given problem is defined on the unbounded domain. After truncating this domain and defining an auxiliary 1 + 1 dimensional linear Schrodinger problem supplemented with different artificial boundary conditions, we propose an effective strategy allowing to get a solution of the full problem with a satisfactory precision in a reasonable time. For further speed up of the numerical integration, we develop a parallel version of the algorithm. First published online: 10 Feb 2011 https://journals.vgtu.lt/index.php/MMA/article/view/6033transparent boundary conditionsfinite‐difference methodCrank–Nicolson schemeerror estimatetraveling wave modelparallel algorithms |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Raimondas Čiegis Mindaugas Radziunas |
spellingShingle |
Raimondas Čiegis Mindaugas Radziunas Effective numerical integration of traveling wave model for edge‐emitting broad‐area semiconductor lasers and amplifiers Mathematical Modelling and Analysis transparent boundary conditions finite‐difference method Crank–Nicolson scheme error estimate traveling wave model parallel algorithms |
author_facet |
Raimondas Čiegis Mindaugas Radziunas |
author_sort |
Raimondas Čiegis |
title |
Effective numerical integration of traveling wave model for edge‐emitting broad‐area semiconductor lasers and amplifiers |
title_short |
Effective numerical integration of traveling wave model for edge‐emitting broad‐area semiconductor lasers and amplifiers |
title_full |
Effective numerical integration of traveling wave model for edge‐emitting broad‐area semiconductor lasers and amplifiers |
title_fullStr |
Effective numerical integration of traveling wave model for edge‐emitting broad‐area semiconductor lasers and amplifiers |
title_full_unstemmed |
Effective numerical integration of traveling wave model for edge‐emitting broad‐area semiconductor lasers and amplifiers |
title_sort |
effective numerical integration of traveling wave model for edge‐emitting broad‐area semiconductor lasers and amplifiers |
publisher |
Vilnius Gediminas Technical University |
series |
Mathematical Modelling and Analysis |
issn |
1392-6292 1648-3510 |
publishDate |
2010-11-01 |
description |
We consider a system of 1 + 2 dimensional partial differential equations which describes dynamics of edge‐emitting broad area semiconductor lasers and amplifiers. The given problem is defined on the unbounded domain. After truncating this domain and defining an auxiliary 1 + 1 dimensional linear Schrodinger problem supplemented with different artificial boundary conditions, we propose an effective strategy allowing to get a solution of the full problem with a satisfactory precision in a reasonable time. For further speed up of the numerical integration, we develop a parallel version of the algorithm.
First published online: 10 Feb 2011
|
topic |
transparent boundary conditions finite‐difference method Crank–Nicolson scheme error estimate traveling wave model parallel algorithms |
url |
https://journals.vgtu.lt/index.php/MMA/article/view/6033 |
work_keys_str_mv |
AT raimondasciegis effectivenumericalintegrationoftravelingwavemodelforedgeemittingbroadareasemiconductorlasersandamplifiers AT mindaugasradziunas effectivenumericalintegrationoftravelingwavemodelforedgeemittingbroadareasemiconductorlasersandamplifiers |
_version_ |
1721326388459339776 |