Optical Properties of Surfaces -- CONTENTS -- PREFACE TO THE SECOND EDITION -- PREFACE TO THE FIRST EDITION -- 1 INTRODUCTION -- 2 EXCESS CURRENTS, CHARGE DENSITIES AND FIELDS -- 2.1 Introduction -- 2.2 Excess electric current, charge density and electric field in a conducting layer -- 2.3 Excess electric and displacement fields in a dielectric layer -- 2.4 Excess currents, charge density and field and the boundary conditions -- 2.5 Higher order moments of the excess currents, charge density and fields -- 2.6 Boundary conditions in terms of the surface polarization and magnetization -- 3 MAXWELL'S EQUATIONS WITH SINGULAR FIELDS -- 3.1 Introduction -- 3.2 Singularities in the fields, currents and charge densities -- 3.3 Maxwell's equations for singular fields and the boundary conditions -- 3.4 Charge conservation -- 3.5 Generalized electric displacement field -- 3.6 Constitutive relations for isotropic interfaces without dispersion -- 3.7 Constitutive relations for isotropic interfaces with spatial dispersion -- 3.8 Dependence of the constitutive coefficients on the location of the dividing surface -- 3.9 Invariants -- 3.10 Shifting the dividing surface for a film embedded in a homogeneous medium -- 3.11 Superposition of adjacent films -- 3.12 Appendix A -- 4 REFLECTION AND TRANSMISSION -- 4.1 Introduction -- 4.2 TE-waves -- 4.3 TM-waves -- 4.4 Reflectance and transmittance in non-magnetic systems -- 4.5 Reflectance and transmittance in non-magnetic systems at normal incidence -- 4.6 Reflectance of p-polarized light in non-magnetic systems near the Brewster angle -- 4.7 Reflectometry around an angle of incidence of 45 degrees -- 4.8 Ellipsometry -- 4.9 Total reflection -- 5 ISLAND FILMS IN THE LOW COVERAGE LIMIT -- 5.1 Introduction -- 5.2 Linear response of an island -- 5.3 Gamma and beta in the polarizable dipole model.

5.4 Delta and tau in the polarizable dipole model -- 5.5 Polarizable quadrupole model -- 5.6 Spherical islands -- 5.7 Application: Spherical gold islands on sapphire -- 5.8 Appendix A -- 5.9 Appendix B -- 6 SPHEROIDAL ISLAND FILMS IN THE LOW COVERAGE LIMIT -- 6.1 Introduction -- 6.2 Oblate spheroids -- the polarizable quadrupole model -- 6.3 Prolate spheroids -- the polarizable quadrupole model -- 6.4 Oblate spheroids -- spheroidal multipole expansions -- 6.5 Prolate spheroids -- spheroidal multipole expansions -- 6.6 Application: Spheroidal gold islands on sapphire -- 6.7 Appendix A -- 7 ISLANDS FILMS FOR A FINITE COVERAGE -- 7.1 Introduction -- 7.2 Two-dimensional arrays of sphere -- 7.3 Regular arrays of spheres -- 7.4 Random arrays of spheres -- 7.5 Dipole approximation for spheres -- 7.6 Quadrupole approximation for spheres -- 7.7 Two-dimensional arrays of spheroids -- 7.8 Dipole approximation for spheroids -- 7.9 Quadrupole approximation for spheroids -- 7.10 Application: Gold islands on sapphire -- 7.11 Appendix A: Lattice sums -- 7.12 Appendix B -- 8 FILMS OF TRUNCATED SPHERES FOR A LOW COVERAGE -- 8.1 Introduction -- 8.2 Truncated spheres on a substrate -- 8.3 Spherical caps on a substrate -- 8.4 Spheres and hemispheres on a substrate -- 8.5 Thin spherical caps -- 8.6 Application to truncated gold spheres and caps on sapphire -- 8.7 Appendix A -- 8.8 Appendix B -- 9 FILMS OF TRUNCATED SPHEROIDS IN THE LOW COVERAGE LIMIT -- 9.1 Introduction -- 9.2 Truncated oblate spheroids on a substrate -- 9.3 Truncated prolate spheroids on a substrate -- 9.4 Oblate spheroidal caps on a substrate -- 9.5 Prolate spheroidal caps on a substrate -- 9.6 Spheroids and hemispheroids on a substrate -- 9.7 Application: Truncated gold spheroids and caps on sapphire -- 9.8 Appendix A -- 9.9 Appendix B -- 10 FILMS OF TRUNCATED SPHERES OR SPHEROIDS FOR FINITE COVERAGE.

10.1 Introduction -- 10.2 Two-dimensional arrays of truncted spherical or spheroidal islands -- 10.3 Two-dimensional arrays of spherical or spheroidal caps -- 10.4 Dipole approximation -- 10.5 Quadrupole approximation -- 10.6 Application: Gold islands on sapphire -- 10.7 Appendix A: Truncated particles -- 10.8 Appendix B: Caps -- 11 STRATIFIED LAYERS -- 11.1 Introduction -- 11.2 Constitutive coefficients -- 11.3 Invariants -- 11.4 Non-magnetic stratified layers -- 11.5 Conclusions -- 12 THE WAVE EQUATION AND ITS GENERAL SOLUTION -- 12.1 Introduction -- 12.2 The wave equations -- 12.3 The solution of the wave equations -- 12.4 The fields due to the surface polarization and magnetization densities -- 12.5 Dipole-dipole interaction along the surface -- 12.6 Appendix A -- 13 GENERAL LINEAR RESPONSE THEORY FOR SURFACES -- 13.1 Introduction -- 13.2 Green functions -- 14 SURFACE ROUGHNESS -- 14.1 Introduction -- 14.2 General theory -- 14.3 Rough surfaces -- 14.4 Capillary waves -- 14.5 Self-affine surfaces -- 14.6 Intrinsic profile contributions -- 14.7 Oxide layers -- 14.8 Thin spherical caps on a substrate -- 15 REFLECTION OF A GYROTROPIC MEDIUM -- 15.1 Introduction -- 15.2 The relation between the two methods -- 15.3 Constitutive equations -- 15.4 General theory -- 15.5 Reflection at normal incidence -- REFERENCES -- INDEX.