EVOLUTION OF CYLINDRICAL BEAMS BY EXPANSION IN GAUSS-FOURIER BASIS

被引:1
作者
RUSCHIN, S
机构
[1] Department of Electrical Engineering-Physical Electronics, Faculty of Engineering, Tel Aviv University, Tel Aviv
来源
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION | 1993年 / 10卷 / 10期
关键词
D O I
10.1364/JOSAA.10.002202
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
A new method of calculating the evolution of cylindrical axisymmetric beams is presented. The method is based on expansion in a set of suitable axially displaced Gaussians. The expansion coefficients are found by a Fourier transformation that permits the application of the fast-Fourier-transform algorithm. The sampling points are evenly spaced in the y = r2 coordinate of the entrance plane. The mathematical formalism is presented, and simple relationships are found between the beam transverse field profile at a given plane and the field profile along the optical axis. Application examples are presented of beam propagation calculation, Fox-Li iterations in an optical resonator, and optical beam generation according to a prescribed axial profile.
引用
收藏
页码:2202 / 2207
页数:6
相关论文
共 8 条
[1]  
AGARWAL GP, 1981, OPT LETT, V6, P171
[2]   SUPER-GAUSSIAN OUTPUT FROM A CO2-LASER BY USING A GRADED-PHASE MIRROR RESONATOR [J].
BELANGER, PA ;
LACHANCE, RL ;
PARE, C .
OPTICS LETTERS, 1992, 17 (10) :739-741
[3]   SIMPLE SPECTRAL METHOD FOR SOLVING PROPAGATION PROBLEMS IN CYLINDRICAL GEOMETRY WITH FAST FOURIER-TRANSFORMS [J].
FEIT, MD ;
FLECK, JA .
OPTICS LETTERS, 1989, 14 (13) :662-664
[4]  
KESSELBRENNER M, 1991, NUCL INSTRUM METH A, V304, P782
[5]  
MAGNI V, 1992, 18TH INT QUANT EL C
[6]   INTERFEROMETER MIRRORS WITH HOLES ON-AXIS [J].
PANTELL, RH ;
FEINSTEIN, J ;
HO, AH .
NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT, 1990, 296 (1-3) :638-641
[7]   Quasi fast Hankel transform [J].
Siegman, A. E. .
OPTICS LETTERS, 1977, 1 (01) :13-15
[8]   MODE CALCULATIONS IN UNSTABLE RESONATORS WITH FLOWING SATURABLE GAIN .1. HERMITE-GAUSSIAN EXPANSION [J].
SIEGMAN, AE ;
SZIKLAS, EA .
APPLIED OPTICS, 1974, 13 (12) :2775-2792