Modeling and Optimization of LCD Optical Performance (Gebunden/Hardback) von Dmitry A Yakovlev

Focusing on polarization matrix optics in many forms, this book includes coverage of a wide range of methods which have been applied to LCD modeling, ranging from the simple Jones matrix method to elaborate and high accuracy algorithms suitable for off-axis optics. Researchers and scientists are constantly striving for improved performance, faster response times, wide viewing angles, improved colour in liquid crystal display development, and with this comes the need to model LCD devices effectively. The authors have significant experience in dealing with the problems related to the practical application of liquid crystals, in particular their optical performance. Key features: * Explores analytical solutions and approximations to important cases in the matrix treatment of different LC layer configurations, and the application of these results to improve the computational method * Provides the analysis of accuracies of the different approaches discussed in the book * Explains the development of the Eigenwave Jones matrix method which offers a path to improved accuracy compared to Jones matrix and extended Jones matrix formalisms, while achieving significant improvement in computational speed and versatility compared to full 4x4 matrix methods * Includes a companion website hosting the authors' program library LMOPTICS (FORTRAN 90), a collection of routines for calculating the optical characteristics of stratified media, the use of which allows for the easy implementation of the methods described in this book. The website also contains a set of sample programs (source codes) using LMOPTICS, which exemplify the application of these methods in different situations

InhaltsangabePreface 1 Polarization of monochromatic waves. Background of the Jones matrix methods. The Jones calculus 1.1 Homogeneous waves in isotropic media 1.1.1 Waves 1.1.2 Polarization. Jones vectors 1.1.3 Coordinate transformation rules for Jones vectors. Orthogonal polarizations. Decomposition of a wave into two orthogonally polarized waves 1.2 Interface optics for isotropic media 1.2.1 Fresnel's formulas. Snell's law 1.2.2 Reflection and transmission Jones matrices for a plane interface between isotropic media 1.3 Wave propagation in anisotropic media 1.3.1 Wave equations 1.3.2 Waves in a uniaxial layer 1.3.3 A simple birefringent layer. Principal axes of a simple birefringent layer 1.3.4 Transmission Jones matrices of a simple birefringent layer at normal incidence 1.3.5 Linear retarders 1.3.6 Jones matrices of absorbing polarizers 1.4 Jones calculus 1.4.1 Basic principles of the Jones calculus 1.4.2 Three useful theorems for transmissive systems 1.4.3 Reciprocity relations. Jones's reversibility theorem 1.4.4 Theorem of polarization reversibility for systems without diattenuation 1.4.5 Particular variants of application of the Jones calculus. Cartesian Jones vectors for wave fields in anisotropic media 2 The Jones calculus: Solutions for ideal twisted structures and their applications in LCD optics 2.1 Jones matrix and eigenmodes of a liquid crystal layer with an ideal twisted structure 2.2 LCD optics and Gooch-Tarry formulas 2.3 Interactive simulation 2.4 Parameter space 3 Optical equivalence theorem 3.1 General optical equivalence theorem 3.2 Optical equivalence for a twisted nematic liquid crystal cell 3.3 Polarization conserving modes 3.4 Application to nematic bistable LCDs 3.5 Application to reflective displays 3.6 Measurement of characteristic parameters of an LC cell 4 Electrooptical modes. Practical examples of LCD modeling and optimization 4.1 Optimization of LCD performance in various electrooptical modes 4.1.1 Electrically Controlled Birefringence 4.1.2 Twist effect 4.1.3 Supertwist effect 4.1.4 Optimization of optical performance of reflective LCDs 4.2 Transflective LCDs 4.2.1 Dual Mode Single Cell Gap approach 4.2.2 Single Mode Single Cell Gap approach 4.3 Total Internal Reflection Mode 4.4 Ferroelectric Liquid Crystal Displays 4.4.1 Basic physical properties 4.4.2 Electrooptic effects in FLC cells 4.5 Birefringent Color Generation in Dichromatic Reflective FLCDs 5 Necessary mathematics. Radiometric terms. Conventions. Various Stokes and Jones vectors 5.1 Some definitions and relations from matrix algebra 5.1.1 General definitions 5.1.2 Some important properties of matrix products 5.1.3 Unitary matrices. Unimodular unitary 2´2 matrices. STU matrices 5.1.4 Norms of vectors and matrices 5.1.5 Kronecker product of matrices 5.1.6 Approximations 5.2 Some radiometric quantities. Conventions 5.3 Stokes vectors of plane waves and collimated beams propagating in isotropic nonabsorbing media 5.4 Jones vectors 5.4.1 Fittedtoelectricfield Jones vectors and fittedtotransversecomponentofelectricfield Jones vectors 5.4.2 Fittedtoirradiance Jones vectors 5.4.3 Conventional Jones vectors 6 Simple models and representations for solving the optimization and inverse optical problems. Real optics of LC cells and useful approximations 6.1 Polarization transfer factor of an optical system 6.2 Optics of LC cells in terms of the polarization transport coefficients 6.2.1 Polarization-dependent losses, and depolarization, unpolarized transmittance 6.2.2 Rotations 6.2.3 Symmetry of sample 6.3 Retroreflection geometry 6.4 Applications of the polarization transport coefficients in the optimization of LC devices 6.5 Evaluation of the ultimate characteristics of an LCD that can be attained by fitting the compensation system. Modu