A method to construct refracting profiles

被引：10

作者：

Alamo, N ^{[1
]}

Criado, C

机构：

[1] Univ Malaga, Dept Algebra Geometria & Topol, E-29071 Malaga, Spain

[2] Univ Malaga, Dept Fis Aplicada 1, E-29071 Malaga, Spain

来源：

INVERSE PROBLEMS | 2004年 / 20卷 / 01期

关键词：

D O I：

10.1088/0266-5611/20/1/013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We propose an original method for determining suitable refracting profiles between two media to solve two related problems: to produce a given wavefront from a single point source after refraction at the refracting profile, and to focus a given wavefront at a fixed point. These profiles are obtained as envelopes of specific families of Cartesian ovals. We study the singularities of these profiles and give a method to construct them from the data of the associated caustic.

引用

页码：229 / 238

页数：10

共 9 条

[1] Generalized antiorthotomics and their singularities [J].

Alamo, N ;

Criado, C .

INVERSE PROBLEMS, 2002, 18 (03) :881-889

[2]

ARNOLD VI, 1983, CATASTROPHE THEORY, P33

[3]

ARNOLD VI, 1990, DYNAMICAL SYSTEMS, V4, P85

[4] Refraction holodiagrams [J].

Baldwin, G ;

De Zela, F ;

Rabal, H .

OPTIK, 2001, 112 (12) :555-560

[5] The Alvarez-Lohmann lens as a do-nothing machine [J].

Caulfield, HJ .

OPTICS AND LASER TECHNOLOGY, 2002, 34 (01) :1-5

[6]

COURANT R, 1968, DIFFERENTIAL INTEGRA, P181

[7]

GOURSAT E, 1959, COURSE MATH ANAL, V1, P220

[8]

Lockwood E. H., 1961, A_BOOK_OF_CURVES

[9]

STRUIK DJ, 1988, LECT CLASSICAL DIFFE, P75

← 1 →