NONLINEAR PROPAGATION AND TRANSFORMATION OF ARBITRARY LASER-BEAMS BY MEANS OF THE GENERALIZED ABCD FORMALISM

被引:33
作者
PORRAS, MA [1 ]
ALDA, J [1 ]
BERNABEU, E [1 ]
机构
[1] UNIV COMPLUTENSE MADRID, FAC FIS, DEPT OPT, E-28040 MADRID, SPAIN
关键词
NONLINEAR OPTICS; BEAM PROPAGATION; MATRIX OPTICS; BEAM QUALITY;
D O I
10.1364/AO.32.005885
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
The evolution of non-Gaussian and nonspherical high-power laser beams in cubic nonlinear media is described by means of their mean or gross parameters: width, mean curvature radius, and quality factor. The influence of the beam over its own propagation is contained in a new mean parameter that measures the ability of a beam to build its own waveguide. Beam quality and threshold power for self-focusing are connected. The ABCD and invariance laws for modified complex beam parameter and quality factor allow one to transform in one step the mean beam parameters through a sequence of nonlinear propagations, lenses, mirrors, and nonlinear quadratic graded index.
引用
收藏
页码:5885 / 5892
页数:8
相关论文
共 17 条
[1]  
BAASTIANS MJ, 1989, OPTIK, V82, P173
[2]   SELF-FOCUSING OF GAUSSIAN BEAMS - AN ALTERNATE DERIVATION [J].
BELANGER, PA ;
PARE, C .
APPLIED OPTICS, 1983, 22 (09) :1293-1295
[3]   BEAM PROPAGATION AND THE ABCD RAY MATRICES [J].
BELANGER, PA .
OPTICS LETTERS, 1991, 16 (04) :196-198
[4]   SYNTHESIS OF GAUSSIAN-BEAM OPTICAL-SYSTEMS [J].
CASPERSON, LW .
APPLIED OPTICS, 1981, 20 (13) :2243-2249
[5]   SELF-TRAPPING OF OPTICAL BEAMS [J].
CHIAO, RY ;
GARMIRE, E ;
TOWNES, CH .
PHYSICAL REVIEW LETTERS, 1964, 13 (15) :479-&
[6]   ERMAKOV HAMILTONIAN-SYSTEMS IN NONLINEAR OPTICS OF ELLIPTIC GAUSSIAN BEAMS [J].
GONCHARENKO, AM ;
LOGVIN, YA ;
SAMSON, AM ;
SHAPOVALOV, PS ;
TUROVETS, SI .
PHYSICS LETTERS A, 1991, 160 (02) :138-142
[7]   FOCUSING PROPERTIES OF AN ABERRATED LASER-BEAM [J].
HUNT, JT ;
RENARD, PA ;
NELSON, RG .
APPLIED OPTICS, 1976, 15 (06) :1458-1464
[8]   SELF-FOCUSING OF OPTICAL BEAMS [J].
KELLEY, PL .
PHYSICAL REVIEW LETTERS, 1965, 15 (26) :1005-&
[9]   LASER BEAMS AND RESONATORS [J].
KOGELNIK, H ;
LI, T .
PROCEEDINGS OF THE INSTITUTE OF ELECTRICAL AND ELECTRONICS ENGINEERS, 1966, 54 (10) :1312-+
[10]   STUDY OF SELF-FOCUSING AND SMALL-SCALE FILAMENTS OF LIGHT IN NONLINEAR MEDIA [J].
LOY, MMT ;
SHEN, YR .
IEEE JOURNAL OF QUANTUM ELECTRONICS, 1973, QE 9 (03) :409-422