Tying Light in Knots

Applying Topology to Optics

Nonfiction, Science & Nature, Science, Physics, Optics, Energy, General Physics
Cover of the book Tying Light in Knots by David S Simon, Morgan & Claypool Publishers
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Author: David S Simon ISBN: 9781643272337
Publisher: Morgan & Claypool Publishers Publication: November 6, 2018
Imprint: IOP Concise Physics Language: English
Author: David S Simon
ISBN: 9781643272337
Publisher: Morgan & Claypool Publishers
Publication: November 6, 2018
Imprint: IOP Concise Physics
Language: English

Topology is the study of properties of geometrical objects that remain invariant as the object is bent, twisted, or otherwise continuously deformed. It has been an indispensable tool in particle physics and solid state physics for decades, but in recent years it has become increasingly relevant in classical and quantum optics as well. It makes appearances through such diverse phenomena as Pancharatnam-Berry phases, optical vortices and solitons, and optical simulations of solid-state topological phenomena. This book concisely provides the necessary mathematical background needed to understand these developments and to give a rapid survey of some of the optical applications where topological issues arise.

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Topology is the study of properties of geometrical objects that remain invariant as the object is bent, twisted, or otherwise continuously deformed. It has been an indispensable tool in particle physics and solid state physics for decades, but in recent years it has become increasingly relevant in classical and quantum optics as well. It makes appearances through such diverse phenomena as Pancharatnam-Berry phases, optical vortices and solitons, and optical simulations of solid-state topological phenomena. This book concisely provides the necessary mathematical background needed to understand these developments and to give a rapid survey of some of the optical applications where topological issues arise.

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