03284nam a22005535i 4500 978-3-031-46614-4 DE-He213 20251030112901.0 cr nn 008mamaa 240821s2024 sz | s |||| 0|eng d 9783031466144 978-3-031-46614-4 10.1007/978-3-031-46614-4 doi QA402.5-402.6 QA315-316 PBU bicssc MAT042000 bisacsh PBU thema Stachura, Eric. author. aut http://id.loc.gov/vocabulary/relators/aut 82597 Mathematical Methods in Liquid Crystal Optics and Lens Design [electronic resource] / by Eric Stachura. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Springer, 2024. XV, 276 p. 46 illus., 8 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Springer Tracts in Modern Physics, 1615-0430 ; 294 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. Mathematical optimization. 65522 Calculus of variations. 67268 Liquid crystals. Calculus of Variations and Optimization. 67270 Liquid Crystals. SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031466137 Printed edition: 9783031466151 Printed edition: 9783031466168 Springer Tracts in Modern Physics, 1615-0430 ; 294 71873 https://doi.org/10.1007/978-3-031-46614-4 ZDB-2-PHA ZDB-2-SXP 62592 62592