The reflector problem and the inverse square law

被引：11

作者：

Gutierrez, Cristian E. ^{[1
]}

Sabra, Ahmad ^{[1
]}

机构：

[1] Temple Univ, Dept Math, Philadelphia, PA 19122 USA

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2014年 / 96卷

基金：

美国国家科学基金会;

关键词：

Geometric optics; Reflector and antenna design; Pdes of Monge-Ampere type; Inverse problems; ANTENNA; DESIGN;

D O I：

10.1016/j.na.2013.11.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce a model to design reflectors that take into account the inverse square law for radiation. We prove existence of solutions both in the near and far field cases, when the input and output energies are prescribed. (C) 2013 Elsevier Ltd. All rights reserved.

引用

页码：109 / 133

页数：25

共 10 条

[1]

Ambrosio L., 2004, Oxford Lecture Ser. Math. Appl., V25

[2]

Born M., 2006, PRINCIPLES OPTICS EL

[3]

Caffarelli L.A., 2008, J MATH SCI, V154, P37

[4] The near field refractor [J].

Gutierrez, Cristian E. ;

Huang, Qingbo .

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2014, 31 (04) :655-684

[5] The refractor problem with loss of energy [J].

Gutierrez, Cristian E. ;

Mawi, Henok .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2013, 82 :12-46

[6] Determination of reflector surfaces from near-field scattering data [J].

Kochengin, SA ;

Oliker, VI .

INVERSE PROBLEMS, 1997, 13 (02) :363-373

[7]

McCluney W.R., 1994, INTRO RADIOMETRY PHO

[8] On the design of a reflector antenna II [J].

Wang, XJ .

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2004, 20 (03) :329-341

[9] On the design of a reflector antenna [J].

Wang, XJ .

INVERSE PROBLEMS, 1996, 12 (03) :351-375

[10]

WHEEDEN RL, 1977, MEASURE INTEGRAL

← 1 →