Using rays better. III. Error estimates and illustrative applications in smooth media

被引：15

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 / 06期

关键词：

D O I：

10.1364/JOSAA.18.001357

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

A new method for computing ray-based approximations to optical wave fields is demonstrated through simple examples involving wave propagation in free space and in a gradient-index waveguide. The analytic solutions that exist for these cases make it easy to compare the new estimates with exact results. A particularly simple RMS error estimate is developed here, and corrections to the basic field estimate are also discussed and tested. A key step for any ray-based method is the choice of a family of rays to be associated with the initial wave field. We show that, for maximal accuracy, not only must the initial field be considered in;choosing the rays, but so too must the medium that is to carry the wave. (C) 2001 Optical Society of America.

引用

页码：1357 / 1370

页数：14

共 5 条

[1] Using rays better. II. Ray families to match prescribed wave fields [J].

Alonso, MA ;

Forbes, GW .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 2001, 18 (05) :1146-1159

[2] Asymptotic estimation of the optical wave propagator. II. Relative validity [J].

Forbes, GW ;

Alonso, MA .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1998, 15 (05) :1341-1354

[3] 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

[4]

Kravtsov Y. A., 1999, CAUSTICS CATASTROPHE

[5]

MANDEL L, 1995, OPTICAL COHERENCE QU, P109

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