Dmitry A. Yakovlev, Chris K. Atterwill, Hoi-Sing Kwok

Modeling and Optimization of LCD Optical Performance (eBook, ePUB)

• Format: ePub

Produktbeschreibung

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

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Produktdetails

• Verlag: John Wiley & Sons
• Seitenzahl: 584
• Erscheinungstermin: 5. Februar 2015
• Englisch
• ISBN-13: 9781118706718
• Artikelnr.: 42365702

Autorenporträt

Dmitry A. Yakovlev, Saratov State University, Russia Dr Yakovlev is a senior researcher in the Department of Physics at Saratov State University, Russia. He is the head developer of commercial software MOUSE-LCD (MOdeling Universal System of Electrooptics of LCDs), developed in cooperation with HKUST, and the author of a number of efficient methods for computer modeling and optimization of LCDs used within many research projects performed in cooperation with Center Display Research of Hong Kong University of Science and Technology, ROLIC Research Ltd (Switzerland), TechnoDisplay AS (Norway. He has authored 30 refereed journal papers. Vladimir G. Chigrinov, Hong Kong University of Science and Technology, Hong Kong Professor Chigrinov is a member of the department of electrical and electronic engineering at Hong Kong University of Science and Technology. He is the author of 3 books, including Photoalignment of Liquid Crystalline Materials (with Professor Kwok), published by Wiley (2008). He has authored more than 150 refereed journal papers and holds 56 patents in the field of liquid crystals. He is a member of the editorial board of Liquid Crystal Today and Associate Editor of the Journal of SID. Prof. Chigrinov is Vice-President of the Russian SID chapter and a SID Fellow. Hoi Sing Kwok, Hong Kong University of Science and Technology, Hong Kong Professor Kwok is a member of the department of electrical and electronic engineering at Hong Kong University of Science and Technology. He is a fellow of the IEEE, Optical Society of America and the Hong Kong Institution of Engineers. Prof. Kwok is the co-author of Photoalignment of Crystalline Materials (Wiley, 2008) with Prof. Chigrinov and Vladimir M. Kozenkov, and has authored over 300 refereed journal papers.

Inhaltsangabe

Series Editor's Foreword xiii Preface xv Acknowledgments xix List of
Abbreviations xxi About the Companion Website xxiii 1 Polarization of
Monochromatic Waves. Background of the Jones Matrix Methods. The Jones
Calculus 1 1.1 Homogeneous Waves in Isotropic Media 1 1.1.1 Plane Waves 1
1.1.2 Polarization. Jones Vectors 3 1.1.3 Coordinate Transformation Rules
for Jones Vectors. Orthogonal Polarizations. Decomposition of a Wave into
Two Orthogonally Polarized Waves 9 1.2 Interface Optics for Isotropic Media
14 1.2.1 Fresnel's Formulas. Snell's Law 14 1.2.2 Reflection and
Transmission Jones Matrices for a Plane Interface between Isotropic Media
20 1.3 Wave Propagation in Anisotropic Media 23 1.3.1 Wave Equations 23
1.3.2 Waves in a Uniaxial Layer 25 1.3.3 A Simple Birefringent Layer and
Its Principal Axes 30 1.3.4 Transmission Jones Matrices of a Simple
Birefringent Layer at Normal Incidence 32 1.3.5 Linear Retarders 36 1.3.6
Jones Matrices of Absorptive Polarizers. Ideal Polarizer 38 1.4 Jones
Calculus 41 1.4.1 Basic Principles of the Jones Calculus 42 1.4.2 Three
Useful Theorems for Transmissive Systems 46 1.4.3 Reciprocity Relations.
Jones's Reversibility Theorem 50 1.4.4 Theorem of Polarization
Reversibility for Systems Without Diattenuation 53 1.4.5 Particular
Variants of Application of the Jones Calculus. Cartesian Jones Vectors for
Wave Fields in Anisotropic Media 55 References 57 2 The Jones Calculus:
Solutions for Ideal Twisted Structures and Their Applications in LCD Optics
59 2.1 Jones Matrix and Eigenmodes of a Liquid Crystal Layer with an Ideal
Twisted Structure 59 2.2 LCD Optics and the Gooch-Tarry Formulas 64 2.3
Interactive Simulation 67 2.4 Parameter Space 69 References 73 3 Optical
Equivalence Theorem 75 3.1 General Optical Equivalence Theorem 75 3.2
Optical Equivalence for the Twisted Nematic Liquid Crystal Cell 77 3.3
Polarization Conserving Modes 77 3.3.1 LP1 Modes 78 3.3.2 LP2 Modes 79
3.3.3 LP3 Modes 80 3.3.4 CP Modes 81 3.4 Application to Nematic Bistable
LCDs 82 3.4.1 2pi Bistable TN Displays 82 3.4.2 Pi Bistable TN Displays 83
3.5 Application to Reflective Displays 84 3.6 Measurement of Characteristic
Parameters of an LC Cell 86 3.6.1 Characteristic Angle Omega 86 3.6.2
Characteristic Phase Gamma 87 References 87 4 Electro-optical Modes:
Practical Examples of LCD Modeling and Optimization 91 4.1 Optimization of
LCD Performance in Various Electro-optical Modes 91 4.1.1 Electrically
Controlled Birefringence 91 4.1.2 Twist Effect 101 4.1.3 Supertwist Effect
109 4.1.4 Optimization of Optical Performance of Reflective LCDs 116 4.2
Transflective LCDs 119 4.2.1 Dual-Mode Single-Cell-Gap Approach 119 4.2.2
Single-Mode Single-Cell-Gap Approach 122 4.3 Total Internal Reflection Mode
124 4.4 Ferroelectric LCDs 131 4.4.1 Basic Physical Properties 131 4.4.2
Electro-optical Effects in FLC Cells 135 4.5 Birefringent Color Generation
in Dichromatic Reflective FLCDs 145 References 149 5 Necessary Mathematics.
Radiometric Terms. Conventions. Various Stokes and Jones Vectors 153 5.1
Some Definitions and Relations from Matrix Algebra 153 5.1.1 General
Definitions 153 5.1.2 Some Important Properties of Matrix Products 160
5.1.3 Unitary Matrices. Unimodular Unitary 2 x 2 Matrices. STU Matrices 160
5.1.4 Norms of Vectors and Matrices 163 5.1.5 Kronecker Product of Matrices
166 5.1.6 Approximations 167 5.2 Some Radiometric Quantities. Conventions
167 5.3 Stokes Vectors of Plane Waves and Collimated Beams Propagating in
Isotropic Nonabsorbing Media 169 5.4 Jones Vectors 171 5.4.1
Fitted-to-Electric-Field Jones Vectors and
Fitted-to-Transverse-Component-of-Electric-Field Jones Vectors 171 5.4.2
Fitted-to-Irradiance Jones Vectors 172 5.4.3 Conventional Jones Vectors 175
References 176 6 Simple Models and Representations for Solving Optimization
and Inverse Optical Problems. Real Optics of LC Cells and Useful
Approximations 177 6.1 Polarization Transfer Factor of an Optical System
178 6.2 Optics of LC Cells in Terms of Polarization Transport Coefficients
182 6.2.1 Polarization-Dependent Losses and Depolarization. Unpolarized
Transmittance 185 6.2.2 Rotations 187 6.2.3 Symmetry of the Sample 190 6.3
Retroreflection Geometry 192 6.4 Applications of Polarization Transport
Coefficients in Optimization of LC Devices 195 6.5 Evaluation of Ultimate
Characteristics of an LCD that can be Attained by Fitting the Compensation
System. Modulation Efficiency of LC Layers 207 References 216 7 Some
Physical Models and Mathematical Algorithms Used in Modeling the Optical
Performance of LCDs 217 7.1 Physical Models of the Light-Layered System
Interaction Used in Modeling the Optical Behavior of LC Devices. Plane-Wave
Approximations. Transfer Channel Approach 217 7.2 Transfer Matrix Technique
and Adding Technique 237 7.2.1 Transfer Matrix Technique 238 7.2.2 Adding
Technique 242 7.3 Optical Models of Some Elements of LCDs 246 References
248 8 Modeling Methods Based on the Rigorous Theory of the Interaction of a
Plane Monochromatic Wave with an Ideal Stratified Medium. Eigenwave (EW)
Methods. EW Jones Matrix Method 251 8.1 General Properties of the
Electromagnetic Field Induced by a Plane Monochromatic Wave in a Linear
Stratified Medium 252 8.1.1 Maxwell's Equations and Constitutive Relations
252 8.1.2 Plane Waves 256 8.1.3 Field Geometry 259 8.2 Transmission and
Reflection Operators of Fragments (TR Units) of a Stratified Medium and
Their Calculation 275 8.2.1 EW Jones Vector. EW Jones Matrices.
Transmission and Reflection Operators 275 8.2.2 Calculation of Overall
Transmission and Overall Reflection Operators for Layered Systems by Using
Transfer Matrices 281 8.3 Berreman's Method 283 8.3.1 Transfer Matrices 283
8.3.2 Transfer Matrix of a Homogeneous Layer 285 8.3.3 Transfer Matrix of a
Smoothly Inhomogeneous Layer. Staircase Approximation 287 8.3.4 Coordinate
Systems 289 8.4 Simplifications, Useful Relations, and Advanced Techniques
291 8.4.1 Orthogonality Relations and Other Useful Relations for Eigenwave
Bases 291 8.4.2 Simple General Formulas for Transmission Operators of
Interfaces 297 8.4.3 Calculation of Transmission and Reflection Operators
of Layered Systems by Using the Adding Technique 303 8.5 Transmissivities
and Reflectivities 304 8.6 Mathematical Properties of Transfer Matrices and
Transmission and Reflection EW Jones Matrices of Lossless Media and
Reciprocal Media 311 8.6.1 Properties of Matrix Operators for Nonabsorbing
Regions 311 8.6.2 Properties of Matrix Operators for Reciprocal Regions 313
8.7 Calculation of EW 4 x 4 Transfer Matrices for LC Layers 319 8.8
Transformation of the Elements of EW Jones Vectors and EW Jones Matrices
Under Changes of Eigenwave Bases 322 8.8.1 Coordinates of the EW Jones
Vector of a Wave Field in Different Eigenwave Bases 322 8.8.2 EW Jones
Operators in Different Eigenwave Bases 326 References 328 9 Choice of
Eigenwave Bases for Isotropic, Uniaxial, and Biaxial Media 331 9.1 General
Aspects of EWB Specification. EWB-generating routines 331 9.2 Isotropic
Media 338 9.3 Uniaxial Media 342 9.4 Biaxial Media 352 References 365 10
Efficient Methods for Calculating Optical Characteristics of Layered
Systems for Quasimonochromatic Incident Light. Main Routines of LMOPTICS
Library 367 10.1 EW Stokes Vectors and EW Mueller Matrices 368 10.2
Calculation of the EW Mueller Matrices of the Overall Transmission and
Reflection of a System Consisting of "Thin" and "Thick" Layers 375 10.3
Main Routines of LMOPTICS 384 10.3.1 Routines for Computing 4 x 4 Transfer
Matrices and EW Jones Matrices 384 10.3.2 Routines for Computing EW Mueller
Matrices 388 10.3.3 Other Useful Routines 391 References 392 11 Calculation
of Transmission Characteristics of Inhomogeneous Liquid Crystal Layers with
Negligible Bulk Reflection 393 11.1 Application of Jones Matrix Methods to
Inhomogeneous LC Layers 394 11.1.1 Calculation of Transmission Jones
Matrices of LC Layers Using the Classical Jones Calculus 394 11.1.2
Extended Jones Matrix Methods 404 11.2 NBRA. Basic Differential Equations
409 11.3 NBRA. Numerical Methods 420 11.3.1 Approximating Multilayer Method
421 11.3.2 Discretization Method 427 11.3.3 Power Series Method 428 11.4
NBRA. Analytical Solutions 430 11.4.1 Twisted Structures 430 11.4.2
Nontwisted Structures 432 11.4.3 NBRA and GOA. Adiabatic and Quasiadiabatic
Approximations 434 11.5 Effect of Errors in Values of the Transmission
Matrix of the LC Layer on the Accuracy of Modeling the Transmittance of the
LCD Panel 437 References 438 12 Some Approximate Representations in EWJones
Matrix Method and Their Application in Solving Optimization and Inverse
Problems for LCDs 441 12.1 Theory of STUM Approximation 442 12.2 Exact and
Approximate Expressions for Transmission Operators of Interfaces at Normal
Incidence 447 12.3 Polarization Jones Matrix of an Inhomogeneous
Nonabsorbing Anisotropic Layer with Negligible Bulk Reflection at Normal
Incidence. Simple Representations of Polarization Matrices of LC Layers at
Normal Incidence 463 12.4 Immersion Model of the Polarization-Converting
System of an LCD 466 12.5 Determining Configurational and Optical
Parameters of LC Layers With a Twisted Structure: Spectral Fitting Method
474 12.5.1 How to Bring Together the Experiment and Unitary Approximation
476 12.5.2 Parameterization and Solving the Inverse Problem 480 12.5.3
Appendix to Section 12.5 489 12.6 Optimization of Compensation Systems for
Enhancement of Viewing Angle Performance of LCDs 490 References 504 13 A
FewWords About Modeling of Fine-Structure LCDs and the Direct Ray
Approximation 507 13.1 Virtual Microscope 508 13.2 Directional Illumination
and Diffuse Illumination 513 References 516 A LCD Modeling Software
MOUSE-LCD Used for the HKUST Students Final Year Projects (FYP) from 2003
to 2011 517 A.1 Introductory Remarks 517 A.2 Fast LCD 517 A.2.1 TN Cell 517
A.2.2 Effect of d/p Ratio 519 A.2.3 Effect of K22/K11 520 A.2.4 Effect of
K33/K11 520 A.2.5 Effect of delta 521 A.2.6 Effect of gamma 521 A.2.7
Effect of Anchoring Strength W 523 A.2.8 Optimized TN Cell With Fast
Response Time 523 A.2.9 Other LC Modes 524 A.3 Color LCD 524 A.3.1 The
Super-Twisted Nematic Cell 524 A.3.2 STN Birefringent Colors in
Transmissive and Reflective Modes 525 A.4 Transflective LCD 525 A.4.1
Vertical Aligned Nematic Cell 525 A.5 Switchable Viewing Angle LCD 535 A.6
Optimal e-paper Configurations 535 A.7 Color Filter Optimization 536
References 536 B Some Derivations and Examples 537 B.1 Conservation Law for
Energy Flux 537 B.2 Lorentz's Lemma 538 B.3 Nonexponential Waves 538 B.4 To
the Power Series Method (Section 11.3.3) 540 B.5 One of the Ways to Obtain
the Explicit Expressions for Transmission Jones Matrices of an Ideal
Twisted LC Layer 541 Reference 543 Index 545