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  • Mathematical Methods in Liquid Crystal Optics and Lens Design

    Mathematical Methods in Liquid Crystal Optics and Lens Design by Stachura, Eric;

    Series: Springer Tracts in Modern Physics; 294;

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      • Publisher's listprice EUR 160.49
      • The price is estimated because at the time of ordering we do not know what conversion rates will apply to HUF / product currency when the book arrives. In case HUF is weaker, the price increases slightly, in case HUF is stronger, the price goes lower slightly.

        68 079 Ft (64 837 Ft + 5% VAT)
      • Discount 8% (cc. 5 446 Ft off)
      • Discounted price 62 633 Ft (59 650 Ft + 5% VAT)

    68 079 Ft

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    Product details:

    • Edition number 2024
    • Publisher Springer
    • Date of Publication 21 August 2024
    • Number of Volumes 1 pieces, Book

    • ISBN 9783031466137
    • Binding Hardback
    • No. of pages276 pages
    • Size 235x155 mm
    • Language English
    • Illustrations 38 Illustrations, black & white; 8 Illustrations, color
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    Short description:

    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.

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    Long description:

    Freeform lens design has numerous applications in imaging, aerospace, and biomedicine. Due to recent advancements in precision cutting and grinding, the manufacturing of freeform optical lenses with very high precision is now possible. However, there is still a significant lack of mathematical literature on the subject, and essentially none related to liquid crystals. Liquid crystals are appealing for use in imaging due to their flexibility and unique electro-optical properties.



    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 are devices that image without any optical aberrations. These instruments 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

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    Table of Contents:

    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.

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