Optimal Transport and Applications to Geometric Optics
Optimal Transport and Applications to Geometric Optics
English | 2023 | ISBN: 9819948665 | 137 Pages | PDF EPUB (True) | 15 MB
English | 2023 | ISBN: 9819948665 | 137 Pages | PDF EPUB (True) | 15 MB
This book concerns the theory of optimal transport (OT) and its applications to solving problems in geometric optics. It is a self-contained presentation including a detailed analysis of the Monge problem, the Monge-Kantorovich problem, the transshipment problem, and the network flow problem. A chapter on Monge-Ampère measures is included containing also exercises. A detailed analysis of the Wasserstein metric is also carried out. For the applications to optics, the book describes the necessary background concerning light refraction, solving both far-field and near-field refraction problems, and indicates lines of current research in this area.