03162nam 22005535 450 991088110050332120250808093252.09783031466144(electronic bk.)978303146613710.1007/978-3-031-46614-4(MiAaPQ)EBC31608982(Au-PeEL)EBL31608982(CKB)34118617800041(DE-He213)978-3-031-46614-4(OCoLC)1453197130(EXLCZ)993411861780004120240821d2024 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierMathematical Methods in Liquid Crystal Optics and Lens Design /by Eric Stachura1st ed. 2024.Cham :Springer Nature Switzerland :Imprint: Springer,2024.1 online resource (284 pages)Springer Tracts in Modern Physics,1615-0430 ;294Print version: Stachura, Eric Mathematical Methods in Liquid Crystal Optics and Lens Design Cham : Springer,c2024 9783031466137 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.Springer Tracts in Modern Physics,1615-0430 ;294Mathematical optimizationCalculus of variationsLiquid crystalsCalculus of Variations and OptimizationLiquid CrystalsMathematical optimization.Calculus of variations.Liquid crystals.Calculus of Variations and Optimization.Liquid Crystals.530.429Stachura Eric1765669MiAaPQMiAaPQMiAaPQ9910881100503321Mathematical Methods in Liquid Crystal Optics and Lens Design4207502UNINA