Mode mapping in paraxial lossless optics

被引:28
作者
Alieva, T
Bastiaans, MJ
机构
[1] Univ Complutense Madrid, Fac Ciencias Fis, E-28040 Madrid, Spain
[2] Eindhoven Univ Technol, Fac Elektrotech, NL-5600 MB Eindhoven, Netherlands
关键词
D O I
10.1364/OL.30.001461
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
A Collins transformation maps an orthonormal set of Hermite-Gaussian modes into an orthonormal set of beams with a Gaussian envelope. Among these beams are Laguerre-Gaussian beams and the recently introduced Hermite-Laguerre-Gaussian beams. Compact expressions for the complex field amplitudes of these modes are derived. The results obtained are useful for description of the propagation of light through first-order optical systems, for the solution of the phase-retrieval problem by noninterferometric techniques, and for the design of mode converters and information processing systems. (c) 2005 Optical Society of America
引用
收藏
页码:1461 / 1463
页数:3
相关论文
共 9 条
[1]   Generalized Gaussian beams [J].
Abramochkin, EG ;
Volostnikov, VG .
JOURNAL OF OPTICS A-PURE AND APPLIED OPTICS, 2004, 6 (05) :S157-S161
[2]  
Abramowitz M., 1984, POCKETBOOK MATH FUNC
[3]   Generating function for Hermite-Gaussian modes propagating through first-order optical systems [J].
Bastiaans, MJ ;
Alieva, T .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2005, 38 (06) :L73-L78
[5]  
Luneburg R. K., 1944, MATH THEORY OPTICS
[6]   Use of the fractional Fourier transform in π/2 converters of laser modes [J].
Malyutin, AA .
QUANTUM ELECTRONICS, 2004, 34 (02) :165-171
[7]   Wigner representation of Laguerre-Gaussian beams [J].
Simon, R ;
Agarwal, GS .
OPTICS LETTERS, 2000, 25 (18) :1313-1315
[8]   Fractional Fourier transforms in two dimensions [J].
Simon, R ;
Wolf, KB .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 2000, 17 (12) :2368-2381
[9]  
Wünsche A, 2000, J PHYS A-MATH GEN, V33, P1603, DOI 10.1088/0305-4470/33/8/307