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Optimal transport and applications to geometric optics

Record Type:	Electronic resources : Monograph/item
Title/Author:	Optimal transport and applications to geometric opticsby Cristian E. Gutiérrez.
Author:	Gutierrez, Cristian E.
Published:	Singapore :Springer Nature Singapore :2023.
Description:	x, 135 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Geometrical optics.
Online resource:	https://doi.org/10.1007/978-981-99-4867-3
ISBN:	9789819948673$q(electronic bk.)

Optimal transport and applications to geometric optics
Gutierrez, Cristian E.

Optimal transport and applications to geometric optics[electronic resource] /by Cristian E. Gutiérrez. - Singapore :Springer Nature Singapore :2023. - x, 135 p. :ill., digital ;24 cm. - SpringerBriefs on PDEs and data science,2731-7609. - SpringerBriefs on PDEs and data science..

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. Researchers in the fields of mathematical analysis, optimal transport, partial differential equations (PDEs), optimization, and optics will find this book valuable. It is also suitable for graduate students studying mathematics, physics, and engineering. The prerequisites for this book include a solid understanding of measure theory and integration, as well as basic knowledge of functional analysis.

ISBN: 9789819948673$q(electronic bk.)

Standard No.: 10.1007/978-981-99-4867-3doiSubjects--Topical Terms:

207780
Geometrical optics.

LC Class. No.: QC381

Dewey Class. No.: 535.32

Optimal transport and applications to geometric optics
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520 $a 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. Researchers in the fields of mathematical analysis, optimal transport, partial differential equations (PDEs), optimization, and optics will find this book valuable. It is also suitable for graduate students studying mathematics, physics, and engineering. The prerequisites for this book include a solid understanding of measure theory and integration, as well as basic knowledge of functional analysis.
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