Summing Lax series for nonparaxial beam propagation

被引:39
作者
Borghi, R
Santarsiero, M
机构
[1] Univ Roma Tor Vergata, Dipartimento Elettron Applicata, I-00146 Rome, Italy
[2] Univ Roma Tor Vergata, INFM, I-00146 Rome, Italy
[3] Univ Roma Tor Vergata, Dipartimento Fis, I-00146 Rome, Italy
关键词
D O I
10.1364/OL.28.000774
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
It is shown that the approach proposed by Lax et al. [Phys. Rev. A 11, 1365 (1975)] for studying the propagation of an electromagnetic beam beyond the paraxial approximation can be efficiently employed even when the beam under consideration presents a very nonparaxial character. The met hod that we present consists of applying a nonlinear resummation scheme, the so-called delta trans formation, to the divergent perturbative series arising from the Lax scheme. Numerical results pertinent to the evaluation of transverse and longitudinal components of the electric field are presented for the particular case of vectorial Gaussian beams, showing the effectiveness of the method. (C) 2003 Optical Society of America.
引用
收藏
页码:774 / 776
页数:3
相关论文
共 12 条
[1]  
Baker G., 1996, Pade Approximants
[2]   Exact axial electromagnetic field for vectorial Gaussian and flattened Gaussian boundary distributions [J].
Borghi, R ;
Ciattoni, A ;
Santarsiero, M .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 2002, 19 (06) :1207-1211
[3]   The epsilon algorithm and related topics [J].
Graves-Morris, PR ;
Roberts, DE ;
Salam, A .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2000, 122 (1-2) :51-80
[4]   Resummation of QED perturbation series by sequence transformations and the prediction of perturbative coefficients [J].
Jentschura, UD ;
Becher, J ;
Weniger, EJ ;
Soff, G .
PHYSICAL REVIEW LETTERS, 2000, 85 (12) :2446-2449
[5]   MAXWELL TO PARAXIAL WAVE OPTICS [J].
LAX, M ;
LOUISELL, WH ;
MCKNIGHT, WB .
PHYSICAL REVIEW A, 1975, 11 (04) :1365-1370
[6]   Nonparaxial corrections for the fundamental Gaussian beam [J].
Seshadri, SR .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 2002, 19 (10) :2134-2141
[7]   GAUSSIAN-MAXWELL BEAMS [J].
SIMON, R ;
SUDARSHAN, ECG ;
MUKUNDA, N .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1986, 3 (04) :536-540
[8]   PROPAGATION OF LIGHT-BEAMS BEYOND THE PARAXIAL APPROXIMATION [J].
TAKENAKA, T ;
YOKOTA, M ;
FUKUMITSU, O .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1985, 2 (06) :826-829
[9]  
Weiger E., 1989, COMPUT PHYS REP, V10, P189, DOI DOI 10.1016/0167-7977(89)90011-7
[10]   Performance of superconvergent perturbation theory [J].
Weniger, EJ .
PHYSICAL REVIEW A, 1997, 56 (06) :5165-5168