Mode analysis in optics through fractional transforms

被引：14

作者：

Alieva, T ^{[1
]}

Bastiaans, MJ ^{[1
]}

机构：

[1] Eindhoven Univ Technol, Fac Elektrotech, NL-5600 MB Eindhoven, Netherlands

来源：

OPTICS LETTERS | 1999年 / 24卷 / 17期

关键词：

D O I：

10.1364/OL.24.001206

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

The relationship between the mode content and the fractional Fourier and fractional Hankel transforms of a function is established. It is shown that the Laguerre-Gauss spectrum of a rotationally symmetric wave front can be determined from the wave front's fractional Hankel transforms taken at the optical axis. (C) 1999 Optical Society of America.

引用

页码：1206 / 1208

页数：3

共 5 条

[1] IMAGE ROTATION, WIGNER ROTATION, AND THE FRACTIONAL FOURIER-TRANSFORM [J].

LOHMANN, AW .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1993, 10 (10) :2181-2186

[2] FRACTIONAL FOURIER-TRANSFORMS AND THEIR OPTICAL IMPLEMENTATION .1. [J].

MENDLOVIC, D ;

OZAKTAS, HM .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1993, 10 (09) :1875-1881

[3] COMPLEX WAVE-FIELD RECONSTRUCTION USING PHASE-SPACE TOMOGRAPHY [J].

RAYMER, MG ;

BECK, M ;

MCALISTER, DF .

PHYSICAL REVIEW LETTERS, 1994, 72 (08) :1137-1140

[4] Optical implementations of two-dimensional fractional Fourier transforms and linear canonical transforms with arbitrary parameters [J].

Sahin, A ;

Ozaktas, HM ;

Mendlovic, D .

APPLIED OPTICS, 1998, 37 (11) :2130-2141

[5] Deriving the integral representation of a fractional Hankel transform from a fractional Fourier transform [J].

Yu, L ;

Lu, YY ;

Zeng, XM ;

Huang, MC ;

Chen, MZ ;

Huang, WD ;

Zhu, ZZ .

OPTICS LETTERS, 1998, 23 (15) :1158-1160

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