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020 _a9783031466144
_9978-3-031-46614-4
024 7 _a10.1007/978-3-031-46614-4
_2doi
050 4 _aQA402.5-402.6
050 4 _aQA315-316
072 7 _aPBU
_2bicssc
072 7 _aMAT042000
_2bisacsh
072 7 _aPBU
_2thema
100 1 _aStachura, Eric.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_982597
245 1 0 _aMathematical Methods in Liquid Crystal Optics and Lens Design
_h[electronic resource] /
_cby Eric Stachura.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Springer,
_c2024.
300 _aXV, 276 p. 46 illus., 8 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringer Tracts in Modern Physics,
_x1615-0430 ;
_v294
505 0 _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.
520 _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.
650 0 _aMathematical optimization.
_965522
650 0 _aCalculus of variations.
_967268
650 0 _aLiquid crystals.
650 1 4 _aCalculus of Variations and Optimization.
_967270
650 2 4 _aLiquid Crystals.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031466137
776 0 8 _iPrinted edition:
_z9783031466151
776 0 8 _iPrinted edition:
_z9783031466168
830 0 _aSpringer Tracts in Modern Physics,
_x1615-0430 ;
_v294
_971873
856 4 0 _uhttps://doi.org/10.1007/978-3-031-46614-4
912 _aZDB-2-PHA
912 _aZDB-2-SXP
999 _c62592
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