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Mathematical methods in liquid crystal optics and lens design

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Mathematical methods in liquid crystal optics and lens design/ by Eric Stachura.
Author:	Stachura, Eric.
Published:	Cham :Springer Nature Switzerland : : 2024.,
Description:	xv, 276 p. :ill. (some col.), digital ; : 24 cm.;
Contained By:	Springer Nature eBook
Subject:	Liquid crystals - Mathematical models. -
Online resource:	https://doi.org/10.1007/978-3-031-46614-4
ISBN:	9783031466144

Mathematical methods in liquid crystal optics and lens design
Stachura, Eric.

Mathematical methods in liquid crystal optics and lens design[electronic resource] /by Eric Stachura. - Cham :Springer Nature Switzerland :2024. - xv, 276 p. :ill. (some col.), digital ;24 cm. - Springer tracts in modern physics,v. 2941615-0430 ;. - Springer tracts in modern physics ;v.248..

Introduction -- Physical Background -- Fermat Principle and Snell's Law of Refraction -- Ray Equations: Geodesics in Finsler Space -- Aberrations and a Lens Design Problem -- The Challenge of Absolute Instruments -- Conclusions and Outlook -- Appendix -- References.

This book fills a gap in mathematical literature and attracts focus to liquid crystals for freeform lens design. It provides a rigorous mathematical perspective on liquid crystal optics, focusing on ray tracing in the geometric optics regime. A mathematical foundation is set to study lens design and ray tracing problems in liquid crystals. Additionally, it addresses absolute instruments, which cannot be designed through transformation optics and, until recently, only a handful of examples were known. Mathematically, this is a largely untapped area of research, yet the applications are profound. Finally, the book describes several open directions, revealing the richness of the intersection of liquid crystal optics and mathematical analysis. The content of this book will prove invaluable for researchers of mathematical optics as well as those interested in liquid crystal theory, in addition to those mathematics graduate students aiming to understand the physical basis of light propagation in liquid crystals.

ISBN: 9783031466144

Standard No.: 10.1007/978-3-031-46614-4doiSubjects--Topical Terms:

977807
Liquid crystals
--Mathematical models.

LC Class. No.: QC173.4.L55

Dewey Class. No.: 530.429

Mathematical methods in liquid crystal optics and lens design
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520 $a This book fills a gap in mathematical literature and attracts focus to liquid crystals for freeform lens design. It provides a rigorous mathematical perspective on liquid crystal optics, focusing on ray tracing in the geometric optics regime. A mathematical foundation is set to study lens design and ray tracing problems in liquid crystals. Additionally, it addresses absolute instruments, which cannot be designed through transformation optics and, until recently, only a handful of examples were known. Mathematically, this is a largely untapped area of research, yet the applications are profound. Finally, the book describes several open directions, revealing the richness of the intersection of liquid crystal optics and mathematical analysis. The content of this book will prove invaluable for researchers of mathematical optics as well as those interested in liquid crystal theory, in addition to those mathematics graduate students aiming to understand the physical basis of light propagation in liquid crystals.
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