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A Jones Matrix for Uniformly Twisted Crystals at Arbitrary Angles of View
Author(s) -
Walker B. W.
Publication year - 1998
Publication title -
sid symposium digest of technical papers
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.351
H-Index - 44
eISSN - 2168-0159
pISSN - 0097-966X
DOI - 10.1889/1.1833887
Subject(s) - polarizer , matrix (chemical analysis) , ideal (ethics) , function (biology) , incidence (geometry) , liquid crystal , optics , transformation matrix , physics , crystal (programming language) , incidence matrix , matrix method , mathematics , mathematical analysis , geometry , combinatorics , materials science , classical mechanics , quantum mechanics , computer science , philosophy , birefringence , kinematics , epistemology , evolutionary biology , composite material , biology , programming language , node (physics)
Using a novel coordinate system the Jones M‐matrix for arbitrary direction of view is written for a uniaxial crystal. The Jones N‐matrix is then derived and integrated to an approximate Jones M‐matrix for a uniformly twisted nematic crystal. A transmission function for ideal polarizers is then derived from this matrix valid for all angles of incidence. This function reduces to the Gooch & Tarry solution at normal incidence.

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