ALMOST-FOURIER AND ALMOST-FRESNEL TRANSFORMATIONS

被引：27

作者：

ABE, S ^{[1
]}

SHERIDAN, JT ^{[1
]}

机构：

[1] UNIV ERLANGEN NURNBERG,INST PHYS,D-91058 ERLANGEN,GERMANY

来源：

OPTICS COMMUNICATIONS | 1995年 / 113卷 / 4-6期

关键词：

D O I：

10.1016/0030-4018(94)00521-U

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

Based on the special affine Fourier transformation (SAFT), which is an extension of the fractional Fourier transformation, the small deviations from the perfect optical operations on wave functions are treated in a unified way. As simple and instructive examples, the almost-Fourier and almost-Fresnel transformations are constructed explicitly. The present investigation shows transformations which include the small imperfections of optical instruments can be developed within the framework of linear theory.

引用

页码：385 / 388

页数：4

共 16 条

[1] GENERALIZATION OF THE FRACTIONAL FOURIER TRANSFORMATION TO AN ARBITRARY LINEAR LOSSLESS TRANSFORMATION - AN OPERATOR APPROACH [J].

ABE, S ;

SHERIDAN, JT .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1994, 27 (12) :4179-4187

[2]

ABE S, UNPUB J MOD OPTICS

[3]

ABE S, 1994, IN PRESS OPTICS LETT

[4] WIGNER FUNCTION AND OTHER DISTRIBUTION-FUNCTIONS IN MOCK PHASE SPACES [J].

BALAZS, NL ;

JENNINGS, BK .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1984, 104 (06) :347-391

[5]

CHOQUETBRUHAT Y, 1982, ANAL MANIFOLDS PHYSI

[6] LENS-SYSTEM DIFFRACTION INTEGRAL WRITTEN IN TERMS OF MATRIX OPTICS [J].

COLLINS, SA .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA, 1970, 60 (09) :1168-&

[7] FRESNEL TRANSFORM AND SAMPLING THEOREM [J].

GORI, F .

OPTICS COMMUNICATIONS, 1981, 39 (05) :293-297

[8]

Hecht E, 1974, OPTICS

[9] 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

[10] ON NAMIASS FRACTIONAL FOURIER-TRANSFORMS [J].

MCBRIDE, AC ;

KERR, FH .

IMA JOURNAL OF APPLIED MATHEMATICS, 1987, 39 (02) :159-175

← 1 2 →