Asymptotic estimation of the optical wave propagator. I. Derivation of a new method

被引:8
作者
Alonso, MA [1 ]
Forbes, GW [1 ]
机构
[1] Macquarie Univ, Dept Phys, Sydney, NSW 2109, Australia
来源
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION | 1998年 / 15卷 / 05期
关键词
D O I
10.1364/JOSAA.15.001329
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
A new method is proposed for modeling wave propagation in two-dimensional, smoothly varying inhomogeneous media. This method is valid in the limit of small wavelength and constructs the wave propagator by combining contributions from all relevant rays. The form of each contribution was reported in J. Opt. Sec. Am. A 14, 1279 (1997). The resulting estimate for the total field takes a strikingly simple form, which associates a Gaussian field with each ray. This form is asymptotically correct and free of the usual difficulties associated with caustics. (C) 1998 Optical Society of America.
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页码:1329 / 1340
页数:12
相关论文
共 19 条
[1]   FRACTIONAL LEGENDRE TRANSFORMATION [J].
ALONSO, MA ;
FORBES, GW .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1995, 28 (19) :5509-5527
[2]   Semigeometrical estimation of Green's functions and wave propagators in optics [J].
Alonso, MA ;
Forbes, GW .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1997, 14 (05) :1076-1086
[3]   Uniform asymptotic expansions for wave propagators via fractional transformations [J].
Alonso, MA ;
Forbes, GW .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1997, 14 (06) :1279-1292
[4]  
BORN M, 1989, PRINCIPLES OPTICS, P133
[5]  
Buchdahl H. A., 1993, INTRO HAMILTONIAN, P8
[6]   Immersion of the Fourier transform in a continuous group of functional transformations [J].
Condon, EU .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1937, 23 :158-164
[7]  
Conway A. W., 1931, MATH PAPERS WR HAMIL, V1
[8]  
Courant R, 1962, METHODS MATH PHYSICS, VII, P32
[9]   SEMICLASSICAL CALCULATION OF QUANTUM-MECHANICAL WAVE-FUNCTIONS [J].
DELOS, JB .
ADVANCES IN CHEMICAL PHYSICS, 1986, 65 :161-214
[10]  
Erdelyi A. W., 1956, ASYMPTOTIC EXPANSION, P51