LEADER 03162nam  22005535  450 
001 9910881100503321
005 20250808093252.0
010   $a9783031466144$b(electronic bk.)
010   $z9783031466137
024 7 $a10.1007/978-3-031-46614-4
035   $a(MiAaPQ)EBC31608982
035   $a(Au-PeEL)EBL31608982
035   $a(CKB)34118617800041
035   $a(DE-He213)978-3-031-46614-4
035   $a(OCoLC)1453197130
035   $a(EXLCZ)9934118617800041
100   $a20240821d2024      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aMathematical Methods in Liquid Crystal Optics and Lens Design /$fby Eric Stachura
205   $a1st ed. 2024.
210  1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2024.
215   $a1 online resource (284 pages)
225 1 $aSpringer Tracts in Modern Physics,$x1615-0430 ;$v294
311 08$aPrint version: Stachura, Eric Mathematical Methods in Liquid Crystal Optics and Lens Design Cham : Springer,c2024 9783031466137 
327   $aIntroduction -- 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.
330   $aThis book fills a gap in mathematical literature and attracts focus to liquid crystals for freeform lens design. It provides a rigorous mathematical perspective on liquid crystal optics, focusing on ray tracing in the geometric optics regime. A mathematical foundation is set to study lens design and ray tracing problems in liquid crystals. Additionally, it addresses absolute instruments, which cannot be designed through transformation optics and, until recently, only a handful of examples were known. Mathematically, this is a largely untapped area of research, yet the applications are profound. Finally, the book describes several open directions, revealing the richness of the intersection of liquid crystal optics and mathematical analysis. The content of this book will prove invaluable for researchers of mathematical optics as well as those interested in liquid crystal theory, in addition to those mathematics graduate students aiming to understand the physical basis of light propagation in liquid crystals.
410  0$aSpringer Tracts in Modern Physics,$x1615-0430 ;$v294
606   $aMathematical optimization
606   $aCalculus of variations
606   $aLiquid crystals
606   $aCalculus of Variations and Optimization
606   $aLiquid Crystals
615  0$aMathematical optimization.
615  0$aCalculus of variations.
615  0$aLiquid crystals.
615 14$aCalculus of Variations and Optimization.
615 24$aLiquid Crystals.
676   $a530.429
700   $aStachura$b Eric$01765669
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
912   $a9910881100503321
996   $aMathematical Methods in Liquid Crystal Optics and Lens Design$94207502
997   $aUNINA