Optical Properties of Surfaces

Invaluable book represents a substantial body of work describing the theory of the optical properties of thin island films and rough surfaces. The approach is extremely rigorous and theoretically very thorough.

Preface

v

Introduction

1

(6)

Excess Currents, Charge Densities and Fields

7

(14)

Introduction

7

(1)

Excess electric current, charge density and electric field in a conducting layer

8

(3)

Excess electric and displacement fields in a dielectric layer

11

(2)

Excess currents, charge density and fields and the boundary conditions

13

(4)

Higher order moments of the excess currents, charge density and fields

17

(1)

Boundary conditions in terms of interfacial polarization and magnetization densities

18

(3)

Maxwell's Equations with Singular Fields

21

(24)

Introduction

21

(1)

Singularities in the fields, currents and charge densities

22

(1)

Maxwell's equations for singular fields and the boundary conditions

23

(3)

Charge conservation

26

(1)

Generalized electric displacement field

27

(2)

Constitutive relations for isotropic interfaces without dispersion

29

(2)

Constitutive relations for isotropic interfaces with spatial dispersion

31

(2)

Dependence of the constitutive coefficients on the location of the dividing surface

33

(2)

Invariants

35

(2)

Shifting the dividing surface for a film embedded in a homogeneous medium

37

(1)

Superposition of adjacent films

38

(3)

Appendix A

41

(4)

Reflection and Transmission

45

(28)

Introduction

45

(2)

TE-waves

47

(7)

TM-waves

54

(3)

Reflectance and transmittance in non-magnetic systems

57

(5)

Reflectance and transmittance in non-magnetic systems at normal incidence

62

(1)

Reflectance of p-polarized light in non-magnetic systems near the Brewster angle

63

(3)

Reflectometry around an angle of incidence of 45 degrees

66

(1)

Ellipsometry

67

(2)

Total reflection

69

(4)

Island Films in the Low Coverage Limit

73

(44)

Introduction

73

(2)

Linear response of an island

75

(4)

Gamma and beta in the polarizable dipole model

79

(3)

Delta and tau in the polarizable dipole model

82

(2)

Polarizable quadrupole model

84

(5)

Spherical islands

89

(10)

Application: Spherical gold islands on sapphire

99

(7)

Appendix A

106

(9)

Appendix B

115

(2)

Spheroidal Island Films in the Low Coverage Limit

117

(56)

Introduction

117

(1)

Oblate spheroids; the polarizable quadrupole model

118

(10)

Prolate spheroids; the polarizable quadrupole model

128

(9)

Oblate spheroids; spheroidal multipole expansions

137

(11)

Prolate spheroids; spheroidal multipole expansions

148

(8)

Application: Spheroidal gold islands on sapphire

156

(9)

Appendix A

165

(8)

Islands Films for a Finite Coverage

173

(52)

Introduction

173

(1)

Two-dimensional arrays of sphere

174

(3)

Regular arrays of spheres

177

(2)

Random arrays of spheres

179

(2)

Dipole approximation for spheres

181

(2)

Quadrupole approximation for spheres

183

(3)

Two-dimensional arrays of spheroids

186

(6)

Dipole approximation for spheroids

192

(3)

Quadrupole approximation for spheroids

195

(6)

Application: Gold islands on sapphire

201

(13)

Appendix A: lattice sums

214

(3)

Appendix B

217

(8)

Films of Truncated Spheres for a Low Coverage

225

(42)

Introduction

225

(1)

Truncated spheres on a substrate

226

(8)

Spherical caps on a substrate

234

(7)

Spheres and hemispheres on a substrate

241

(5)

Thin spherical caps

246

(5)

Application to truncated gold spheres and caps on sapphire

251

(10)

Appendix A

261

(3)

Appendix B

264

(3)

Films of Truncated Spheroids in the Low Coverage Limit

267

(54)

Introduction

267

(1)

Truncated oblate spheroids on a substrate

268

(10)

Truncated prolate spheroids on a substrate

278

(6)

Oblate spheroidal caps on a substrate

284

(8)

Prolate spheroidal caps on a substrate

292

(5)

Spheroids and hemispheroids on a substrate

297

(8)

Application: Truncated gold spheroids and caps on sapphire

305

(9)

Appendix A

314

(4)

Appendix B

318

(3)

Films of Truncated Spheres or Spheroids for Finite Coverage

321

(50)

Introduction

321

(1)

Two-dimensional arrays of truncated spherical or spheroidal islands

322

(4)

Two-dimensional arrays of spherical or spheroidal caps

326

(3)

Dipole approximation

329

(3)

Quadrupole approximation

332

(4)

Application: Gold islands on sapphire

336

(19)

Appendix A: truncated particles

355

(9)

Appendix B: caps

364

(7)

Stratified Layers

371

(8)

Introduction

371

(1)

Constitutive coefficients

371

(2)

Invariants

373

(2)

Non-magnetic stratified layers

375

(2)

Conclusions

377

(2)

The Wave Equation and Its General Solution

379

(16)

Introduction

379

(1)

The wave equations

379

(2)

The solution of the wave equations

381

(10)

The fields due to the surface polarization and magnetization densities

391

(1)

Dipole-dipole interaction along the surface

392

(2)

Appendix A

394

(1)

General Linear Response Theory for Surfaces

395

(6)

Introduction

395

(2)

Green functions

397

(4)

Surface Roughness

401

(26)

Introduction

401

(2)

General theory

403

(7)

Rough surfaces

410

(3)

Capillary waves

413

(3)

Intrinsic profile contributions

416

(2)

Oxide layers

418

(3)

Thin spherical caps on a substrate

421

(6)

References

427

(4)

Index

431

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Optical Properties of Surfaces

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