1. Edition - March 2010
129.- Euro
2010. X, 309 Pages, Hardcover
95 Fig., 1 Tab. 
- Monograph -
ISBN-10: 3-527-40799-5
ISBN-13: 978-3-527-40799-6 - Wiley-VCH, Berlin






Content

Sample Chapter



Short description
The only book available in English to deal with optimization problems in which phase field distributions are used as optimizing functions. The mathematical technique used relates to nonlinear integral equations, with numerical methods developed and applied to concrete problems.

From the contents
1 Introduction
2 Formulation of physical problems
2.1 Forming fields of given structure
2.2 Antenna synthesis problems
2.3 Phase optimization problems in waveguides and open resonators
3 Mathematical formulation of the problems
3.1 Variational problems with no amplitude-phase restrictions on sought functions
3.2 Variational problems with amplitude-phase restrictions on sought functions
3.3 Homogeneous optimization problems
4 Analytical solutions
4.1 A general class of Hammerstein nonlinear integral equations with free phase
4.2 Particular case: one-dimensional Fourier transform
4.3 Particular case: discrete Fourier transform
4.4 Particular case: Hankel transform
4.5 Generalized nonlinear integral equation concerned regularized problems
5 Numerical methods, algorithms, and results
5.1 Theoretical results
5.2 Methods of Newton type
5.3 Method of opposite directions
5.4 Method of generalized separation of variables
5.5 Homogeneous problems
6 Nonstandard inverse problems of diffraction theory
6.1 Introduction
6.2 Diffraction on impedance surfaces. "Invisible" bodies and screens
6.3 Metallic short-periodical arrays
6.4 Creation of fields with circular polarization
Afterword: Ethical aspects of scientific work