Using rays better. II. Ray families to match prescribed wave fields

被引:21
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 | 2001年 / 18卷 / 05期
关键词
D O I
10.1364/JOSAA.18.001146
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
A keg step in any rag-based method for propagating waves is the choice of a family of rays to be associated with the initial wave field. We develop some basic prescriptions for constructing initial rag families to match two particular types of wares. Various Gaussian and Bessel beams are separately given special treatment because of their general interest. These ideas are directly useful for a newly developed method for ray-based wave modeling. The new method expresses the wave as a superposition of ray contributions that is independent of the width of the field element associated with each ray. This insensitivity is investigated here even when the elemental width varies from ray to rag. The results increase the applicability of the new wave-modeling scheme. (C) 2001 Optical Society of America.
引用
收藏
页码:1146 / 1159
页数:14
相关论文
共 8 条
[1]   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
[2]   Phase-space distributions for high-frequency fields [J].
Alonso, MA ;
Forbes, GW .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 2000, 17 (12) :2288-2300
[3]  
BLEISTEIN N, 1986, ASYMPTOTIC EXPANSION, pCH7
[4]  
DEBRUIJN NG, 1981, ASYMPTOTIC METHODS A, pCH5
[5]   Using rays better. I. Theory for smoothly varying media [J].
Forbes, GW ;
Alonso, MA .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 2001, 18 (05) :1132-1145
[6]  
FORBES GW, IN PRESS J OPT SOC A, V18
[7]   Optimal resolution with extreme depth of focus [J].
Gordon, RL ;
Forbes, GW .
OPTICS COMMUNICATIONS, 1998, 150 (1-6) :277-286
[8]   Theory and applications of complex rays [J].
Kravtsov, YA ;
Forbes, GW ;
Asatryan, AA .
PROGRESS IN OPTICS, VOL XXXIX, 1999, 39 :1-62