Optical properties of surfaces / Dick Bedeaux, Jan Vlieger.

Format:

Book

Author/Creator:

Bedeaux, Dick, 1941-

Contributor:

Vlieger, Jan.

Language:

English

Subjects (All):

Surfaces--Optical properties.

Surfaces.

Thin films.

Optical films.

Physical Description:

xii, 432 pages : illustrations ; 23 cm

Place of Publication:

London : Imperial College Press ; River Edge, N.J. : World Scientific, [2002]

Contents:

2 Excess Currents, Charge Densities and Fields 7

2.2 Excess electric current, charge density and electric field in a conducting layer 8

2.3 Excess electric and displacement fields in a dielectric layer 11

2.4 Excess currents, charge density and fields and the boundary conditions 13

2.5 Higher order moments of the excess currents, charge density and fields 17

2.6 Boundary conditions in terms of interfacial polarization and magnetization densities 18

3 Maxwell's Equations with Singular Fields 21

3.2 Singularities in the fields, currents and charge densities 22

3.3 Maxwell's equations for singular fields and the boundary conditions 23

3.4 Charge conservation 26

3.5 Generalized electric displacement field 27

3.6 Constitutive relations for isotropic interfaces without dispersion 29

3.7 Constitutive relations for isotropic interfaces with spatial dispersion 31

3.8 Dependence of the constitutive coefficients on the location of the dividing surface 33

3.9 Invariants 35

3.10 Shifting the dividing surface for a film embedded in a homogeneous medium 37

3.11 Superposition of adjacent films 38

4 Reflection and Transmission 45

4.2 TE-waves 47

4.3 TM-waves 54

4.4 Reflectance and transmittance in non-magnetic systems 57

4.5 Reflectance and transmittance in non-magnetic systems at normal incidence 62

4.6 Reflectance of p-polarized light in non-magnetic systems near the Brewster angle 63

4.7 Reflectometry around an angle of incidence of 45 degrees 66

4.8 Ellipsometry 67

4.9 Total reflection 69

5 Island Films in the Low Coverage Limit 73

5.2 Linear response of an island 75

5.3 Gamma and beta in the polarizable dipole model 79

5.4 Delta and tau in the polarizable dipole model 82

5.5 Polarizable quadrupole model 84

5.6 Spherical islands 89

5.7 Application: Spherical gold islands on sapphire 99

6 Spheroidal Island Films in the Low Coverage Limit 117

6.2 Oblate spheroids; the polarizable quadrupole model 118

6.3 Prolate spheroids; the polarizable quadrupole model 128

6.4 Oblate spheroids; spheroidal multipole expansions 137

6.5 Prolate spheroids; spheroidal multipole expansions 148

6.6 Application: Spheroidal gold islands on sapphire 156

7 Islands Films for A Finite Coverage 173

7.2 Two-dimensional arrays of sphere 174

7.3 Regular arrays of spheres 177

7.4 Random arrays of spheres 179

7.5 Dipole approximation for spheres 181

7.6 Quadrupole approximation for spheres 183

7.7 Two-dimensional arrays of spheroids 186

7.8 Dipole approximation for spheroids 192

7.9 Quadrupole approximation for spheroids 195

7.10 Application: Gold islands on sapphire 201

7.11 Appendix A: lattice sums 214

8 Films of Truncated Spheres for A Low Coverage 225

8.2 Truncated spheres on a substrate 226

8.3 Spherical caps on a substrate 234

8.4 Spheres and hemispheres on a substrate 241

8.5 Thin spherical caps 246

8.6 Application to truncated gold spheres and caps on sapphire 251

9 Films of Truncated Spheroids in the Low Coverage Limit 267

9.2 Truncated oblate spheroids on a substrate 268

9.3 Truncated prolate spheroids on a substrate 278

9.4 Oblate spheroidal caps on a substrate 284

9.5 Prolate spheroidal caps on a substrate 292

9.6 Spheroids and hemispheroids on a substrate 297

9.7 Application: Truncated gold spheroids and caps on sapphire 305

10 Films of Truncated Spheres or Spheroids for Finite Coverage 321

10.2 Two-dimensional arrays of truncated spherical or spheroidal islands 322

10.3 Two-dimensional arrays of spherical or spheroidal caps 326

10.4 Dipole approximation 329

10.5 Quadrupole approximation 332

10.6 Application: Gold islands on sapphire 336

10.7 Appendix A: truncated particles 355

10.8 Appendix B: caps 364

11 Stratified Layers 371

11.2 Constitutive coefficients 371

11.3 Invariants 373

11.4 Non-magnetic stratified layers 375

12 The Wave Equation and Its General Solution 379

12.2 The wave equations 379

12.3 The solution of the wave equations 381

12.4 The fields due to the surface polarization and magnetization densities 391

12.5 Dipole-dipole interaction along the surface 392

13 General Linear Response Theory for Surfaces 395

13.2 Green functions 397

14 Surface Roughness 401

14.2 General theory 403

14.3 Rough surfaces 410

14.4 Capillary waves 413

14.5 Intrinsic profile contributions 416

14.6 Oxide layers 418

14.7 Thin spherical caps on a substrate 421.

Notes:

Includes bibliographical references and index.

ISBN:

1860942717

OCLC:

48978522