03052nam a22004935i 4500001001800000003000900018005001700027007001500044008004100059020003700100024003500137050001800172050001400190072001600204072002300220072001500243100008400258245011000342250001800452264006900470300006300539336002600602337002600628338003600654347002400690490005700714505027100771520102601042650003802068650003502106650002102141650005202162650002102214710003402235773002602269776003602295776003602331776003602367830006402403856004602467912001402513912001402527999001702541978-3-031-46614-4DE-He21320251030112901.0cr nn 008mamaa240821s2024    sz |    s    |||| 0|eng d  a97830314661449978-3-031-46614-47 a10.1007/978-3-031-46614-42doi 4aQA402.5-402.6 4aQA315-316 7aPBU2bicssc 7aMAT0420002bisacsh 7aPBU2thema1 aStachura, Eric.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut98259710aMathematical Methods in Liquid Crystal Optics and Lens Designh[electronic resource] /cby Eric Stachura.  a1st ed. 2024. 1aCham :bSpringer Nature Switzerland :bImprint: Springer,c2024.  aXV, 276 p. 46 illus., 8 illus. in color.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda1 aSpringer Tracts in Modern Physics,x1615-0430 ;v2940 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.  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. 0aMathematical optimization.965522 0aCalculus of variations.967268 0aLiquid crystals.14aCalculus of Variations and Optimization.96727024aLiquid Crystals.2 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978303146613708iPrinted edition:z978303146615108iPrinted edition:z9783031466168 0aSpringer Tracts in Modern Physics,x1615-0430 ;v29497187340uhttps://doi.org/10.1007/978-3-031-46614-4  aZDB-2-PHA  aZDB-2-SXP  c62592d62592