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Optical Waveguide Modes: Polarization, Coupling and Symmetry [Kõva köide]

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  • Formaat: Hardback, 208 pages, kõrgus x laius x paksus: 236x160x18 mm, kaal: 432 g, 30 Illustrations
  • Ilmumisaeg: 16-Apr-2010
  • Kirjastus: McGraw-Hill Professional
  • ISBN-10: 0071622969
  • ISBN-13: 9780071622967
Teised raamatud teemal:
Optical Waveguide Modes: Polarization, Coupling and SymmetrySuurem pilt
  • Formaat: Hardback, 208 pages, kõrgus x laius x paksus: 236x160x18 mm, kaal: 432 g, 30 Illustrations
  • Ilmumisaeg: 16-Apr-2010
  • Kirjastus: McGraw-Hill Professional
  • ISBN-10: 0071622969
  • ISBN-13: 9780071622967
Teised raamatud teemal:
Püsilink: https://www.kriso.ee/db/9780071622967.html
Märksõnad:
The treatment is revised and updated from manuscripts Black and Gagnon prepared during the middle and late 1980s, when both were based in Montreal. They explore the modes of single-mode and few-mode optical waveguides, emphasizing single-core and multicore optical fibers and couplers that encompass a wide range of standard and exotic geometries and anisotropies. Their topics include electromagnetic theory for anisotropic media and weak guidance for longitudinally invariant fibers, azimuthal symmetry breaking, and multicore fibers and couplers. In addition to engineers and designers in optical waveguides and fiber optics, they suggest that researchers and advanced students in related fields such as solid-state physics and chemistry might be interested. Annotation ©2010 Book News, Inc., Portland, OR (booknews.com)

Comprehensive coverage of optical waveguide modes

Optical Waveguide Modes covers the models of single- and few- mode optical waveguides with an emphasis on single- and multi-core optical fibers and couplers including a large range of geometries and anisotropies.

This book covers the in-depth physics and theory behind optical waveguide modes (group theory) in both single and multiple modes, with a focus on the polarization, coupling and symmetry of optical waves. Controlling the mode is critical to retaining the fidelity of each light pulse which carries various communication data. This is an essential resource for optical waveguide and fiber optic designers.

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Preface xi
Acknowledgments xiii
Introduction
1(18)
Modes
1(2)
Polarization Dependence of Wave Propagation
3(1)
Weak-Guidance Approach to Vector Modes
4(1)
Group Theory for Waveguides
5(2)
Optical Waveguide Modes: A Simple Introduction
7(9)
Ray Optics Description
7(2)
Wave Optics Description
9(5)
Adiabatic Transitions and Coupling
14(2)
Outline and Major Results
16(3)
Electromagnetic Theory for Anisotropic Media and Weak Guidance for Longitudinally Invariant Fibers
19(16)
Electrically Anisotropic (and Isotropic) Media
19(3)
General Wave Equations for Electrically Anisotropic (and Isotropic) Media
22(2)
Translational Invariance and Modes
24(1)
Wave Equations for Longitudinally Invariant Media
25(2)
General Anisotropic Media
25(1)
Anisotropic Media with z-Aligned Principal Axis
25(1)
``Diagonal'' Anisotropies
26(1)
Transverse Field Vector Wave Equation for Isotropic Media
27(1)
Scalar Wave Equation
27(1)
Weak-Guidance Expansion for Isotropic Media
28(2)
Polarization-Dependent Mode Splitting and Field Corrections
30(2)
First-Order Eigenvalue Correction
30(1)
First-Order Field and Higher-Order Corrections
31(1)
Simplificatins Due to Symmetry
31(1)
Reciprocity Relations for Isotropic Media
32(1)
Physical Properties of Waveguide Modes
32(3)
Circular Isotropic Longitudinally Invariant Fibers
35(32)
Summary of Modal Representations
35(7)
Scalar and Pseudo-Vector Mode Sets
36(1)
True Weak-Guidance Vector Mode Set Constructions Using Pseudo-Modes
36(1)
Pictorial Representation and Notation Details
36(6)
Symmetry Concepts for Circular Fibers: Scalar Mode Fields and Degeneracies
42(8)
Geometrical Symmetry: C∞v
46(1)
Scalar Wave Equation Symmetry: Cs∞v
46(1)
Scalar Modes: Basis Functions of Irreps of Cs∞v
47(1)
Symmetry Tutorial: Scalar Mode Transformations
48(2)
Vector Mode Field Construction and Degeneracies via Symmetry
50(9)
Vector Field
51(1)
Polarization Vector Symmetry Group: Cp∞v
52(1)
Zeroth-Order Vector Wave Equation Symmetry: Cs∞v ⊗ Cp∞v
52(2)
Pseudo-Vector Modes: Basis Functions of Irreps of Cs∞V ⊗ Cp∞V
54(1)
Full Vector Wave Equation Symmetry: Cs∞V ⊗ Cp∞V ⊃ CJ∞v
55(1)
True Vector Modes: Qualitative Features via CS∞V ⊗ CP∞V ⊃ CJ∞V
56(2)
True Vector Modes via Pseudo-Modes: Basis Functions of CS∞V ⊗ CP∞V ⊃ CJ∞V
58(1)
Polarization-Dependent Level-Splitting
59(8)
First-Order Eigenvalue Corrections
59(1)
Radial Profile-Dependent Polarization Splitting
60(3)
Special Degeneracies and Shifts for Particular Radial Dependence of Profile
63(1)
Physical Effects
64(3)
Azimuthal Symmetry Breaking
67(16)
Principles
67(1)
Branching Rules
67(1)
Anticrossing and Mode Form Transitions
68(1)
C2v Symmetry: Elliptical (or Rectangular) Guides: Illustration of Method
68(4)
Wave Equation Symmetries and Mode-Irrep Association
68(1)
Mode Splittings
69(3)
Vector Mode Form Transformations for Competing Perturbations
72(1)
C3v Symmetry: Equilateral Triangular Deformations
72(3)
C4v Symmetry: Square Deformations
75(2)
Irreps and Branching Rules
75(1)
Mode Splitting and Transition Consequences
75(2)
Square Fiber Modes and Extra Degeneracies
77(1)
C5v Symmetry: Pentagonal Deformations
77(3)
Irreps and Branching Rules
77(1)
Mode Splitting and Transition Consequences
78(2)
C6v Symmetry: Hexagonal Deformations
80(2)
Irreps and Branching Rules
80(1)
Mode Splitting and Transition Consequences
80(2)
Level Splitting Quantification and Field Corrections
82(1)
Birefringence: Linear, Radial, and Circular
83(14)
Linear Birefringence
83(6)
Wave Equations: Longitudinal Invariance
83(2)
Mode Transitions: Circular Symmetry
85(2)
Field Component Coupling
87(1)
Splitting by δxy of Isotropic Fiber Vector Modes Dominated by Δ-Splitting
88(1)
Correspondence between Isotropic ``True'' Modes and Birefringent LP Modes
89(1)
Radial Birefringence
89(2)
Wave Equations: Longitudinal Invariance
89(2)
Mode Transitions for Circular Symmetry
91(1)
Circular Birefringence
91(6)
Wave Equation
93(1)
Symmetry and Mode Splittings
93(4)
Multicore Fibers and Multifiber Couplers
97(40)
Multilightguide Structures with Discrete Rotational Symmetry
97(4)
Global Cnv Rotation-Reflection Symmetric Structures: Isotropic Materials
98(1)
Global Cnv Symmetry: Material and Form Birefringence
99(1)
Global Cn Symmetric Structures
99(2)
General Supermode Symmetry Analysis
101(6)
Propagation Constant Degeneracies
101(3)
Basis Functions for General Field Construction
104(3)
Scalar Supermode Fields
107(2)
Combinations of Fundamental Individual Core Modes
107(1)
Combinations of Other Nondegenerate Individual Core Modes
108(1)
Combinations of Degenerate Individual Core Modes
108(1)
Vector Supermode Fields
109(12)
Two Construction Methods
109(4)
Isotropic Cores: Fundamental Mode Combination Supermodes
113(3)
Isotropic Cores: Higher-Order Mode Combination Supermodes
116(3)
Anisotropic Cores: Discrete Global Radial Birefringence
119(2)
Other Anisotropic Structures: Global Linear and Circular Birefringence
121(1)
General Numerical Solutions and Field Approximation Improvements
121(6)
SALCs as Basis Functions in General Expansion
121(1)
Variational Approach
122(1)
Approximate SALC Expansions
122(1)
SALC = Supermode Field with Numerical Evaluation of Sector Field Function
123(1)
Harmonic Expansions for Step Profile Cores
124(1)
Example of Physical Interpretation of Harmonic Expansion for the Supermodes
125(1)
Model Expansions
126(1)
Relation of Modal and Harmonic Expansions to SALC Expansions
126(1)
Finite Claddings and Cladding Modes
127(1)
Propagation Constant Splitting: Quantification
127(4)
Scalar Supermode Propagation Constant Corrections
127(3)
Vector Supermode Propagation Constant Corrections
130(1)
Power Transfer Characteristics
131(6)
Scalar Supermode Beating
131(2)
Polarization Rotation
133(4)
Conclusions and Extensions
137(14)
Summary
137(1)
Periodic Waveguides
138(1)
Symmetry Analysis of Nonlinear Waveguides and Self-Guided Waves
139(1)
Developments in the 1990s and Early Twenty-First Century
140(1)
Photonic Computer-Aided Design (CAD) Software
141(1)
Photonic Crystals and Quasi Crystals
142(1)
Microstructured, Photonic Crystal, or Holey Optical Fibers
143(1)
Fiber Bragg Gratings
144(7)
General FBGs for Fiber Mode Conversion
144(1)
(Short-Period) Reflection Gratings for Single-Mode Fibers
145(1)
(Long-Period) Mode Conversion Transmission Gratings
146(1)
Example: LP01↔LP11 Mode-Converting Transmission FBGs for Two-Mode Fibers (TMFs)
146(2)
Example: LP01↔LP02 Mode-Converting Transmission FBGs
148(3)
Appendix Group Representation Theory
151(16)
Preliminaries: Notation, Groups, and Matrix Representations of Them
152(4)
Induced Transformations on Scalar Functions
153(1)
Eigenvalue Problems: Invariance and Degeneracies
154(1)
Group Representations
155(1)
Matrix Irreducible Matrix Representations
155(1)
Irrep Basis Functions
155(1)
Notation Conventions
155(1)
Rotation-Reflection Groups
156(4)
Symmetry Operations and Group Definitions
156(1)
Irreps for C∞v and Cnv
156(4)
Irrep Notation
160(1)
Reducible Representations and Branching Rule Coefficients via Characters
160(4)
Example Branching Rule for C∞v ⊃ C2v
161(1)
Branching Rule Coefficients via Characters
161(3)
Clebsch-Gordan Coefficient for Changing Basis
164(1)
Vector Field Transformation
165(2)
References 167(12)
Index 179
Dr. Richard J. Black is a leading authority on optical waveguide modes and applications. He is a founding member and chief scientist at Intelligent Fiber Optic Systems Corporation (www.ifos.com) and founder of OptoSapiens Design (www.optosapiens.com).

Dr. Langis Gagnon is a principle researcher and team leader for the Vision and Imaging team at CRIM (Centre de Recherche Informatique de Montréal).