Electromagnetic Fields in Unconventional

* Includes more than 150 illustrations as well as hundreds of charts, tables, and references

Onkar N. Singh is the editor of Electromagnetic Fields in Unconventional Materials and Structures, published by Wiley. Akhlesh Lakhtakia is Evan Pugh University Professor and Charles Godfrey Binder Professor of Engineering Science and Mechanics at the Pennsylvania State University. His research focuses on electromagnetic fields in complex materials, such as sculptured thin films, chiral materials, and bianisotropy.

Contributors

ix

Preface

xi

Introduction

xiii

Akhlesh Lakhtakia

Onkar N. Singh

On the Rotation of Polarisation of Electric Waves by a Twisted Structure

xix

Jagadis Chunder Bose

Scalar Hertz Potentials for Linear Bianisotropic Mediums

1

(38)

Werner S. Weiglhofer

Introduction

1

(2)

Electromagnetic Field Problems

3

(5)

Vector and Scalar Potentials for Isotropic Mediums

8

(3)

Field Analysis with Scalar Hertz Potentials I: Isotropic Mediums

11

(7)

Field Analysis with Scalar Hertz Potentials II: Bianisotropic Mediums

18

(9)

Scalar Green Functions and Superpotentials

27

(1)

Discussion

28

(3)

Conclusion

31

(1)

Appendix: Dyadic Green Functions

32

(7)

References

35

(2)

Author's Biography

37

(2)

Recent Developments in the Homogenization of Linear Bianisotropic Composite Materials

39

(44)

Bernhard Michel

Introduction

39

(3)

Basic Equations

42

(2)

The 6 x 6 Polarizability Dyadic of an Electrically Small Bianisotropic Inclusion

44

(1)

The 6 x 6 Depolarization Dyadic

45

(6)

Homogenization Formalisms

51

(8)

Numerical Examples

59

(18)

Conclusion

77

(6)

References

78

(4)

Author's Biography

82

(1)

Novel Free-Space Techniques to Characterize Complex Mediums

83

(42)

George N. Borzdov

Introduction

83

(2)

Direct Scattering Problem

85

(10)

Inverse Scattering Problem

95

(14)

Computer Modeling

109

(1)

Optimization

109

(6)

Concluding Remarks

115

(1)

Appendix: Exterior Algebra

115

(10)

References

120

(4)

Author's Biography

124

(1)

A Mini-Review on Isotropic Chiral Mediums

125

(26)

Akhlesh Lakhtakia

Introduction

125

(1)

Natural Optical Activity

126

(1)

Chiral Mediums: Natural and Artificial

127

(2)

Constitutive Relations

129

(5)

Artificial Isotropic Chiral Mediums

134

(2)

Beltrami Fields in an Isotropic Chiral Medium

136

(2)

Representation of Beltrami Fields

138

(3)

Sources in an Isotropic Chiral Medium

141

(2)

Theorems for Scattering in an Isotropic Chiral Medium

143

(4)

Appraisal

147

(4)

References

147

(2)

Author's Biography

149

(2)

Sculptured Thin Films: Conception, Optical Properties, and Applications

151

(66)

Vijayakumar C. Venugopal

Akhlesh Lakhtakia

Introduction

151

(10)

Constitutive Properties of Dielectric STFs

161

(3)

Axial Propagation in STFs

164

(14)

Optical Response Properties of Axially Excited STF Layers

178

(18)

Applications of Dielectric STFs

196

(12)

Conclusing Remarks

208

(9)

References

209

(6)

Author's Biographies

215

(2)

Electrodynamic Properties of Carbon Nanotubes

217

(40)

Sergey A. Maksimenko

Gregory Ya. Slepyan

Introduction

217

(3)

Electronic Properties of Nanotubes

220

(4)

Dynamical Conductivity of a Nanotube. Semiclassical Model

224

(5)

Dynamical Conductivity of a Nanotube. Quantum-Mechanical Model

229

(7)

EBCs for the Electromagnetic Field in a CN

236

(2)

EBCs for the Quasi-Electrostatic Field in a CN

238

(2)

Surface Electromagnetic Waves in Carbon Nanotubes

240

(5)

CN-Based Composites

245

(4)

Conclusion

249

(8)

Acknowledgments

250

(1)

References

250

(4)

Author's Biographies

254

(3)

Numerical Analysis of Optical Propagation and Interaction in Nonlinear Photorefractive Materials

257

(32)

Partha P. Banerjee

John M. Jarem

Introduction

257

(2)

The Kukhtarev Equations and their Simplification

259

(4)

The Beam Propagation Method and its Application to Photorefractive Materials

263

(14)

Rigorous Coupled-Wave Analysis and its Application to PR Materials

277

(8)

Summary

285

(4)

References

286

(1)

Author's Biographies

287

(2)

Some Multilayered and Other Unconventional Lightguides

289

(70)

Pankaj K. Choudhury

Onkar N. Singh

Introduction

289

(2)

Deformed Planar Waveguides

291

(25)

Multilayered Waveguides with Periodic RI Profile

316

(14)

Unconventional Lightguides

330

(16)

Conclusion

346

(13)

Acknowledgements

347

(1)

References

347

(8)

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Electromagnetic Fields in Unconventional Materials and Structures

Summary

Author Biography

Table of Contents

Supplemental Materials