The asymptotic iteration method for the angular spheroidal eigenvalues with arbitrary complex size parameter c

被引:16
作者
Barakat, T.
Abodayeh, K.
Abdallah, B.
Al-Dossary, O. M.
机构
[1] Prince Sultan Univ, Dept Phys Sci, Riyadh 11586, Saudi Arabia
[2] King Saud Univ, Dept Phys, Riyadh, Saudi Arabia
关键词
D O I
10.1139/P06-007
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The asymptotic iteration method is applied to calculate the angular spheroidal eigenvalues. lambda(m)(l)(c) with arbitrary complex size parameter c. It is shown that the numerical results obtained for. lambda(m)(l)(c) are all in excellent agreement with the available published data over the full range of parameter values l, m, and c. Some representative values of. lambda(m)(l)(c) for large real c are also given.
引用
收藏
页码:121 / 129
页数:9
相关论文
共 14 条
[1]   LIGHT-SCATTERING BY RANDOMLY ORIENTED SPHEROIDAL PARTICLES [J].
ASANO, S ;
SATO, M .
APPLIED OPTICS, 1980, 19 (06) :962-974
[2]   The asymptotic iteration method for the angular spheroidal eigenvalues [J].
Barakat, T ;
Abodayeh, K ;
Mukheimer, A .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2005, 38 (06) :1299-1304
[3]   On the asymptotic expansion of the spheroidal wave function and its eigenvalues for complex size parameter [J].
Barrowes, BE ;
O'Neill, K ;
Grzegorczyk, TM ;
Kong, JA .
STUDIES IN APPLIED MATHEMATICS, 2004, 113 (03) :271-301
[4]   Asymptotic iteration method for eigenvalue problems [J].
Ciftci, H ;
Hall, RL ;
Saad, N .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2003, 36 (47) :11807-11816
[5]   ELECTROMAGNETIC SCATTERING BY A SYSTEM OF 2 PARALLEL DIELECTRIC PROLATE SPHEROIDS [J].
COORAY, MFR ;
CIRIC, IR ;
SINHA, BP .
CANADIAN JOURNAL OF PHYSICS, 1990, 68 (4-5) :376-384
[6]   UNIFORM ASYMPTOTIC EXPANSIONS FOR PROLATE SPHEROIDAL FUNCTIONS WITH LARGE PARAMETERS [J].
DUNSTER, TM .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1986, 17 (06) :1495-1524
[7]   Theory and computation of spheroidal wavefunctions [J].
Falloon, PE ;
Abbott, PC ;
Wang, JB .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2003, 36 (20) :5477-5495
[8]   On an iteration method for eigenvalue problems [J].
Fernández, FM .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2004, 37 (23) :6173-6180
[9]   On some solutions to generalized spheroidal wave equations and applications [J].
Figueiredo, BDB .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2002, 35 (12) :2877-2906
[10]   On prolate spheroidal wave functions for signal processing [J].
Larsson, B ;
Levitina, T ;
Brändas, EJ .
INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, 2001, 85 (4-5) :392-397