Beyond the thin-sheet approximation: Adomian's decomposition

被引：20

作者：

Sanchez, F

Abbaoui, K

Cherruault, Y

机构：

[1] Univ Rouen, CORIA, UMR 6614, Grp Opt & Optron, F-76821 Mt St Aignan, France

[2] Univ Paris 06, Medimat, F-75270 Paris 06, France

来源：

OPTICS COMMUNICATIONS | 2000年 / 173卷 / 1-6期

关键词：

thin-sheet approximation; Adomian's decomposition; saturable absorber; four-level amplifier; series decomposition;

D O I：

10.1016/S0030-4018(99)00630-6

中图分类号：

O43 [光学];

学科分类号：

070207 [光学]; 0803 [光学工程];

摘要：

We investigate the weaknesses of the thin-sheet approximation and propose a higher-order development allowing to increase the range of convergence and preserving the nonlinear dependence of the variables. (C) 2000 Elsevier Science B.V. All rights reserved.

引用

收藏

页码：397 / 401

页数：5

相关论文

共 11 条

[1]

CONVERGENCE OF ADOMIAN METHOD APPLIED TO DIFFERENTIAL-EQUATIONS [J].

ABBAOUI, K ;

CHERRUAULT, Y .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1994, 28 (05) :103-109

[2]

PRACTICAL FORMULAS FOR THE CALCULUS OF MULTIVARIABLE ADOMIAN POLYNOMIALS [J].

ABBAOUI, K ;

CHERRUAULT, Y ;

SENG, V .

MATHEMATICAL AND COMPUTER MODELLING, 1995, 22 (01) :89-93

[3]

A REVIEW OF THE DECOMPOSITION METHOD AND SOME RECENT RESULTS FOR NONLINEAR EQUATIONS [J].

ADOMIAN, G .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1991, 21 (05) :101-127

[4]

Adomian G., 1989, Nonlinear Stochastis System Theory and Applications to Physics

[5]

Limiting effects in absorptive bistability [J].

Brunel, M ;

Ozkul, C ;

Ait-Ameur, K ;

Sanchez, F .

OPTICS COMMUNICATIONS, 1998, 153 (1-3) :99-105

[6]

DECOMPOSITION METHODS - A NEW PROOF OF CONVERGENCE [J].

CHERRUAULT, Y ;

ADOMIAN, G .

MATHEMATICAL AND COMPUTER MODELLING, 1993, 18 (12) :103-106

[7]

OPTIMUM-MODE SIZE CRITERION FOR LOW-GAIN LASERS [J].

HALL, DG .

APPLIED OPTICS, 1981, 20 (09) :1579-1583

[8]

Optical bistability in a coupled fiber ring resonator system with nonlinear absorptive medium [J].

Luo, LG ;

Chu, PL .

OPTICS COMMUNICATIONS, 1996, 129 (3-4) :224-228

[9]

Optimum laser beam profile for maximum energy extraction from a saturable amplifier [J].

Pare, C .

OPTICS COMMUNICATIONS, 1996, 123 (4-6) :762-776

[10]

Pump-saturation effects in end-pumped solid-state lasers [J].

Sanchez, F ;

Brunel, M ;

Ait-Ameur, K .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 1998, 15 (09) :2390-2394