Bounds for optimization of the reflection coefficient by constrained optimization in hardy spaces
Abstract
The purpose of this book is twofold. Our starting point is the design of layered media with a prescribed reflection coefficient. In the first part of this book we show that the space of physically realizable reflection coefficients is rather restricted by a number of properties. In the second part we consider a constrained approximation problem in Hardy spaces. This can be viewed as an optimization problem for the frequency response of a causal LTI system with limited gain.
Keywords
Reflecton coefficient; Helmholtz equation; Extremal problems in Hardy spaces; LTI systems; Analytic approximationISBN
9783866443822Publisher
KIT Scientific PublishingPublisher website
http://www.ksp.kit.edu/Publication date and place
2009Classification
Mathematics & science