Computational liquid crystal photonics: fundamentals, modelling and applications
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Chichester
Wiley
2016
|
| Schlagworte: | |
| Online-Zugang: | Cover Inhaltsverzeichnis Klappentext |
| Beschreibung: | xvi, 264 Seiten Illustrationen, Diagramme |
| ISBN: | 9781119041955 |
Internformat
MARC
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| 100 | 1 | |a Obayya, Salah |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Computational liquid crystal photonics |b fundamentals, modelling and applications |c Salah Obayya, Mohamed Farhat O. Hameed and Nihal F.F. Areed |
| 264 | 1 | |a Chichester |b Wiley |c 2016 | |
| 300 | |a xvi, 264 Seiten |b Illustrationen, Diagramme | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 4 | |a Liquid crystal devices / Mathematical models | |
| 650 | 4 | |a Integrated optics / Mathematics | |
| 650 | 4 | |a Photonics / Mathematics | |
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| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Hameed, Mohamed Farhat O. |e Verfasser |4 aut | |
| 700 | 1 | |a Areed, Nihal F. F. |e Verfasser |4 aut | |
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Datensatz im Suchindex
| _version_ | 1804176408371527680 |
|---|---|
| adam_text | Contents
Preface xv
PARTI BASIC PRINCIPLES 1
1 Principles of Waveguides 3
1.1 Introduction 3
1.2 Basic Optical Waveguides 4
1.3 Maxwell’s Equations 6
1.4 The Wave Equation and Its Solutions 7
1.5 Boundary Conditions 9
1.6 Phase and Group Velocity 10
1.6.1 Phase Velocity 10
1.6.2 Group Velocity 11
1.7 Modes in Planar Optical Waveguide 12
1.7.1 Radiation Modes 13
1.7.2 Confinement Modes 13
1.8 Dispersion in Planar Waveguide 13
1.8.1 Intermodal Dispersion 14
1.8.2 Intramodal Dispersion 14
1.9 Summary 15
References 15
2 Fundamentals of Photonic Crystals 17
2.1 Introduction 17
2.2 Types of PhCs 18
2.2.1 WPhCs 18
2.2.2 2D PhCs 19
2.2.3 3D PhCs 21
viii
Contents
2.3 Photonic Band Calculations 21
23.1 Maxwell s Equations and the PhC 22
23.2 Floquet-Bloch Theorem, Reciprocal Lattice,
and Brillouin Zones 23
233 Plane Wave Expansion Method 26
23.4 FDTD Method 29
23.4.1 Band Structure 29
23.4.2 Transmission Diagram 30
2.3.5 Photonic Band for Square Lattice 30
2.4 Defects in PhCs 31
2.5 Fabrication Techniques of PhCs 32
2.5.1 Electron-Beam Lithography 32
2.5.2 Interference Lithography 33
2.53 Nano-Imprint Lithography 33
2.5.4 Colloidal Self-Assembly 34
2.6 Applications of PhCs 34
2.7 Photonic Crystal Fiber 35
2.7.1 Construction 35
2.7.2 Modes of Operation 36
2.7.2.1 High Index Guiding Fiber 36
2.7.2.2 PBG Fibers 36
2.73 Fabrication ofPCF 37
2.7.4 Applications of PCF 37
2.8 Summary 37
References 37
Fundamentals of Liquid Crystals 41
3.1 Introduction 41
3.2 Molecular Structure and Chemical Composition
of an LC Cell 42
3.3 LC Phases 42
3.3.1 Thermotropic LCs 44
33.1.1 Nematic Phase 44
33.1.2 Smectic Phase 44
3.3.13 Chiral Phases 45
33.1.4 Blue Phases 46
33.1.5 Disc otic Phases 46
3.3.2 Lyotropic LCs 47
3.3.3 Metallotropic LCs 48
3.4 LC Physical Properties in External Fields 48
3.4.1 Electric Field Effect 48
3.4.2 Magnetic Field Effect 49
3.4.2.1 Frede riks Transition 49
3.5 Theortitcal Tratment of LC 50
3.5.1 LC Parameters 50
3.5.1.1 Director 50
3.5.1.2 Order Parameter 50
3.5.2 LC Models 51
Contents
ix
3.5.2.1 Onsager Hard-Rod Model 51
3.5.2.2 Maier-Saupe Mean Field Theory 52
3.5.2.3 McMillan ’s Model 52
3.6 LC Sample Preparation 52
3.7 LCs for Display Applications 53
3.8 LC Thermometers 54
3.9 Optical Imaging 54
3.10 LC into Fiber Optics and LC Planar Photonic Crystal 54
3.11 LC Solar Cell 55
References 55
PART II NUMERICAL TECHNIQUES 57
4 Full-Vectorial Finite-Difference Method 59
4.1 Introduction 59
4.2 Overview of Modeling Methods 59
4.3 Formulation of the FVFDM 60
4.3.1 Maxwell ’s Equations 60
4.3.2 Wave Equation 61
4.3.3 Boundary Conditions 63
4.3.4 Maxwell’s Equations in Complex Coordinate 64
4.3.5 Matrix Solution 65
4.3.5.1 Power Method 65
4.3.5.2 Inverse Power Method 66
4.3.5.3 Shifted Inverse Power Method 66
4.4 Summary 66
References 66
5 Assessment of the Full-Vectorial Finite-Difference Method 69
5.1 Introduction 69
5.2 Overview of the LC-PCF 69
5.3 Soft Glass 70
5.4 Design of Soft Glass PCF with LC Core 71
5.5 Numerical Results 73
5.5.1 FVFDM Validation 73
5.5.2 Modal Hybridness 74
5.5.3 Effective Index 75
5.5.4 Effective Mode A rea 76
5.5.5 Nonlinearity 76
5.5.6 Birefringence 77
5.5.7 Effect of the NLC Rotation Angle 80
5.5.8 Effect of the Temperatu re 81
5.5.9 Elliptical SGLC-PCF 83
5.6 Experimental Results of LC-PCF 84
5.6.1 Filling Temperature 84
5.6.2 Filling Time 84
5.7 Summary 85
References 85
X
Contents
6 Full-Vectorial Beam Propagation Method 89
6.1 Introduction 89
6.2 Overview of the BPMs 89
6.3 Formulation of the FV-BPM 90
6.3.1 Slowly Varying Envelope Approximation 91
6.3.2 Paraxial and Wide-Angle Approximation 92
6.4 Numerical Assessment 93
6.4.1 Overview of Directional Couplers 93
6.4.2 Design of the NLC-PCF Coupler 94
6.4.3 Effect of the Structural Geometrical Parameters 94
6.4.4 Effect of Temperature 97
6.4.5 Effect of the NEC Rotation Angle 98
6.4.6 Elliptical NLC-PCF Coupler 98
6.4.7 Beam Propagation Analysis of the NLC-PCF Coupler 101
6.5 Experimental Results of LC-PCF Coupler 102
6.6 Summary 103
References 103
7 Finite-Difference Time Domain Method 105
7.1 Introduction 105
7.2 Numerical Derivatives 106
7.3 Fundamentals of FDTD 106
7.3.1 ID Problem in Free Space 107
7.3.2 ID Problem in a Lossless Medium 109
7.3.3 ID Problem in a Lossy Medium 109
7.3.4 2D Problem 110
7.3.5 3D Problem 112
7.4 Stability for FDTD 115
7.5 Feeding Formulation 116
7.6 Absorbing Boundary Conditions 116
7.6.1 Mur’s ABCs 117
7.6.2 Perfect Matched Layer 117
7.7 ID FDTD Sample Code 120
7.7.1 Source Simulation 120
7.7.2 Structure Simulation 121
7.7.3 Propagation Simulation 122
7.8 FDTD Formulation for Anisotropic Materials 124
7.9 Summary 126
References 126
Part III APPLICATIONS OF LC DEVICES 129
8 Polarization Rotator Liquid Crystal Fiber 131
8.1 Introduction 131
8.2 Overview of PRs 132
Contents
xi
8.3 Practical Applications of PRs 133
8.4 Operation Principles of PRs 134
8.5 Numerical Simulation Strategy 135
8.6 Design of NLC-PCF PR 136
8.7 Numerical Results 138
8. 7.1 Hybridness 138
8.7.2 Operation of the NLC-PCF PR 139
8.7.3 Effect of Structure Geometrical Parameters 142
8.7.3.1 Effect of the dfA Ratio 142
8.7.3.2 Effect of the Hole Pitch A 143
8.7.4 Tolerance of the NLC Rotation Angle 143
8.7.5 Tolerance of Structure Geometrical Parameters 144
8.7.5.1 Tolerance of the dIA Ratio 144
8.7.5.2 Tolerance of the Hole Shape 145
8.7.5.3 Tolerance of the Hole Position 146
8.7.6 Tolerance of the Temperature 148
8.7.7 Tolerance of the Operating Wavelength 150
8.8 Ultrashort Silica LC-PCF PR 150
8.9 Fabrication Aspects of the NLC-PCF PR 155
8.10 Summary 156
References 156
9 Applications of Nematic Liquid Crystal-Photonic Crystal Fiber Coupler 159
9.1 Introduction 159
9.2 Multiplexer-Demultiplexer 159
9.2.1 Analysis of NLC-PCF MUX-DEMUX 159
9.2.2 Beam Propagation Study of the NLC-PCF MUX-DEMUX 161
9.2.3 CT of the NLC-PCF MUX-DEMUX 162
9.2.4 Feasibility of the NLC-PCF MUX-DEMUX 163
9.3 Polarization Splitter 164
9.3.1 Analysis of the NLC-PCF Polarization Splitter 164
9.3.2 Beam Propagation Study of the NLC-PCF Polarization Splitter 164
9.3.3 CT of the NLC-PCF Splitter 166
9.3.4 Feasibility of the NLC-PCF Polarization Splitter 168
9.4 Summary 169
References 169
10 Coupling Characteristics of a Photonic Crystal Fiber Coupler
with Liquid Crystal Cores 171
10.1 Introduction 171
10.2 Design of the PCF Coupler with LC Cores 172
10.3 Numerical Results 173
10.3.1 Effect of the Structural Geometrical Parameters 173
10.3.2 Effect of Temperature 111
10.3.3 Polarization Splitter Based on PCF Coupler with LC Cores 178
178
179
181
182
183
183
185
185
186
186
189
191
191
192
192
192
197
197
201
202
202
205
205
207
207
211
212
216
217
217
217
219
219
219
226
227
229
229
231
231
231
232
233
10.3.3.1 Analysis of the Polarization Splitter
10.3.3.2 Beam Propagation Analysis
10.3.3.3 Crosstalk
10.3.3.4 Feasibility of the Polarization Splitter
10.4 Summary
References
Liquid Crystal Photonic Crystal Fiber Sensors
11.1 Introduction
11.2 LC-PCF Temperature Sensor
11.2.1 Design Consideration
11.2.2 Effects of the Structural Geometrical Parameters
11.2.3 Effect of the Temperature
11.2.4 Effect of the LC Rotation Angle
11.2.5 Sensitivity Analysis
11.3 Design of Single Core PLC-PCF
11.3.1 Design Consideration
11.3.2 Effect of the LC Rotation Angle
11.3.3 Effect of the Structural Geometrical Parameters
11.3.4 Effect of the Temperature
11.4 Summary
References
Image Encryption Based on Photonic Liquid Crystal Layers
12.1 Introduction to Optical Image Encryption systems
12.2 Symmetric Encryption Using PhC Structures
12.2.1 Design Concept
12.2.2 Encryptor/Decryptor Design
12.2.3 Simulation Results
12.3 Multiple Encryption System Using Photonic LC Layers
12.3.1 Proposed Encryption System
12.3.1.1 PBG Structure
12.3.1.2 Liquid Crystals
12.3.1.3 Phase Modulator/Photodetector
12.3.1.4 System Operation
12.3.2 Simulation Results
12.4 Summary
References
Optical Computing Devices Based on Photonic Liquid Crystal Layers
13.1 Introduction to Optical Computing
13.2 All-Optical Router Based on Photonic LC Layers
13.2.1 Device Architecture
13.2.1.1 PBG Structure
13.2.1.2 Liquid Crystals
13.2.1.3 System Operation
Contents
xtii
13.2.2 Simulation Results 233
13.2.3 Fabrication Tolerance 236
13.3 Optical Logic Gates Based on Photonic LC Layers 237
13.3.1 OR Logic Gate Based on PhC Platform 237
133.LI PhC Platform 238
133.1.2 Optical OR Gate Architecture 239
133.13 Results and Discussion for OR Gate 239
13.3.2 AND Logic Gate Based on a PhC Platform 241
13.3.2.1 Optical AND Gate A rchitecture 242
133.2.2 Results and Discussion for AND Gate 242
13.3.3 Reconfigurable Gate Based on Photonic NLC Layers 245
13.3.3.1 Device Architecture 245
13.3.3.2 Bandgap Analysis of Photonic Crystal Platform 246
13.3.33 Simulation Results of the Reconfigurable Gate 247
13.4 Optical Memory Based on Photonic LC Layers 252
13.4.1 PhC Platform 253
13.4.2 Tunable Switch 253
13.4.3 Simulation Results 255
13.4.4 Fabrication Challenges 255
13.5 Summary 256
References 257
Index 259
COMPUTATIONAL LIQUID
CRYSTAL PHOTONICS
FUNDAMENTALS, MODELLING AND APPLICATIONS
Salah S. A. Obayya
Zewail City of Science and Technology,Egypt
Mohamed Farhat 0. Hameed Nihal F. F. Areed
Zewail City of Science and Technology, and Mansoura University Egypt
A unique source of in-depth learning about computational liquid crystal photonics and
the diverse applications of modern photonic devices
Optical computers and photonic integrated circuits in high capacity optical networks are hot
topics, attracting the attention of expert researchers and commercial technology companies.
Optical packet switching and routing technologies promise to provide a more efficient source of
power, and footprint scaling with increased router capacity; integrating more optical processing
elements into the same chip to increase on-chip processing capability and system intelligence
has become a priority.
This book is an in-depth look at modelling techniques and the simulation of a wide range of
liquid crystal based modern photonic devices with enhanced high levels of flexible integration
and enhanced power processing. It covers the physics of liquid crystal materials; techniques
required for modelling liquid crystal based devices; the state-of-the art liquid crystal photonic
based applications for telecommunications such as couplers, polarization rotators, polarization
splitters and multiplexer-demultiplexers; liquid core photonic crystal fiber (LC-PCF) sensors
including biomedical and temperature sensors; and liquid crystal photonic crystal based
encryption systems for security applications.
Key features
• Offers a unique source of in-depth learning on the fundamental principles of computational
liquid crystal photonics.
• Explains complex concepts such as photonic crystals, liquid crystals, waveguides and
modes, and frequency- and time-domain techniques used in the design of liquid crystal
photonic crystal photonic devices in terms that are easy to understand.
• Demonstrates the useful properties of liquid crystals in a diverse and ever-growing list of
technological applications.
• Requires only a foundational knowledge of mathematics and physics.
Cover Image: merrymoonmary/Getty
ISBN 978-1-119-04195-5
|
| any_adam_object | 1 |
| author | Obayya, Salah Hameed, Mohamed Farhat O. Areed, Nihal F. F. |
| author_facet | Obayya, Salah Hameed, Mohamed Farhat O. Areed, Nihal F. F. |
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| discipline | Physik |
| format | Book |
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| indexdate | 2024-07-10T07:31:42Z |
| institution | BVB |
| isbn | 9781119041955 |
| language | English |
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| physical | xvi, 264 Seiten Illustrationen, Diagramme |
| publishDate | 2016 |
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| publisher | Wiley |
| record_format | marc |
| spelling | Obayya, Salah Verfasser aut Computational liquid crystal photonics fundamentals, modelling and applications Salah Obayya, Mohamed Farhat O. Hameed and Nihal F.F. Areed Chichester Wiley 2016 xvi, 264 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Liquid crystal devices / Mathematical models Integrated optics / Mathematics Photonics / Mathematics Mathematik Mathematisches Modell Photonischer Kristall (DE-588)4587112-7 gnd rswk-swf Flüssigkristall (DE-588)4071279-5 gnd rswk-swf Computersimulation (DE-588)4148259-1 gnd rswk-swf Flüssigkristall (DE-588)4071279-5 s Photonischer Kristall (DE-588)4587112-7 s Computersimulation (DE-588)4148259-1 s DE-604 Hameed, Mohamed Farhat O. Verfasser aut Areed, Nihal F. F. Verfasser aut http://catalogimages.wiley.com/images/db/jimages/9781119041955.jpg Cover Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029070320&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029070320&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Obayya, Salah Hameed, Mohamed Farhat O. Areed, Nihal F. F. Computational liquid crystal photonics fundamentals, modelling and applications Liquid crystal devices / Mathematical models Integrated optics / Mathematics Photonics / Mathematics Mathematik Mathematisches Modell Photonischer Kristall (DE-588)4587112-7 gnd Flüssigkristall (DE-588)4071279-5 gnd Computersimulation (DE-588)4148259-1 gnd |
| subject_GND | (DE-588)4587112-7 (DE-588)4071279-5 (DE-588)4148259-1 |
| title | Computational liquid crystal photonics fundamentals, modelling and applications |
| title_auth | Computational liquid crystal photonics fundamentals, modelling and applications |
| title_exact_search | Computational liquid crystal photonics fundamentals, modelling and applications |
| title_full | Computational liquid crystal photonics fundamentals, modelling and applications Salah Obayya, Mohamed Farhat O. Hameed and Nihal F.F. Areed |
| title_fullStr | Computational liquid crystal photonics fundamentals, modelling and applications Salah Obayya, Mohamed Farhat O. Hameed and Nihal F.F. Areed |
| title_full_unstemmed | Computational liquid crystal photonics fundamentals, modelling and applications Salah Obayya, Mohamed Farhat O. Hameed and Nihal F.F. Areed |
| title_short | Computational liquid crystal photonics |
| title_sort | computational liquid crystal photonics fundamentals modelling and applications |
| title_sub | fundamentals, modelling and applications |
| topic | Liquid crystal devices / Mathematical models Integrated optics / Mathematics Photonics / Mathematics Mathematik Mathematisches Modell Photonischer Kristall (DE-588)4587112-7 gnd Flüssigkristall (DE-588)4071279-5 gnd Computersimulation (DE-588)4148259-1 gnd |
| topic_facet | Liquid crystal devices / Mathematical models Integrated optics / Mathematics Photonics / Mathematics Mathematik Mathematisches Modell Photonischer Kristall Flüssigkristall Computersimulation |
| url | http://catalogimages.wiley.com/images/db/jimages/9781119041955.jpg http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029070320&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029070320&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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