Theory of Single and Multiple Interfaces : The Method of Surface Green Function Matching

The Method of Surface Green Function Matching

By: F Garcia-moliner, Victor R Velasco

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Hardcover | 1 June 1992

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512 Pages

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21.59 x 15.88 x 3.18

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Based on a scattering theoretic approach which effectively constitutes an extension of the Dyson or Lippman-Schwinger theories, Green functions constitute the backbone of a matching analysis. This analysis is applied to a wide range of models, materials and physical problems, from electronic structure of semiconductor superlattices or phonons in metal superlattices to surface Brillouin scattering, piezoelectric surface waves or interface in viscoelastic fluids.

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Preface
Technical Preliminaries	p. 1
Generalities on Green Functions and Related Concepts	p. 1
Continuous and Discrete Systems	p. 5
Continuous Systems: Description of the Bulk in Terms of Planar Projections	p. 12
Discrete Systems: Layer Description of the Bulk	p. 23
General Form of the SGFM Method	p. 29
A Reminder of Scattering Theory	p. 29
Scattering and Matching: The General SGFM Formulae	p. 32
Planar Geometry: Continuous Media	p. 37
Planar Geometry: Discrete Media	p. 45
Amplitude Transfer Matrix, Wavefunction Normalisation and Density of States	p. 50
Matching Analysis for Continuous Systems	p. 55
Continuity Conditions for Planar Projections	p. 55
Discontinuity Conditions, Matching Rules and the Matching Formula	p. 62
Some Practical Examples	p. 66
The Wavefunction and the Logarithmic Derivatives	p. 82
Physical Meaning of the Matching Secular Equation	p. 85
A Theorem on Arbitrary Extended Pseudomedia	p. 89
Matching for a Discrete System	p. 95
The Meaning of Matching for Discrete Crystals	p. 95
The Matching Formula for Discrete Interfaces	p. 97
The Free Surface: Examples	p. 104
SGFM For Coupled Interfaces	p. 119
Two Plane Interfaces. Continuous Media	p. 119
Study of the Superlattice. Continuous Media	p. 135
Examples of Layered Continuous Systems	p. 144
Coupled Interfaces. Discrete Media	p. 166
Examples of Superperiodic Discrete Systems	p. 179
Structural Green Function and Truncated Superlattices	p. 189
The Geometry of the Matching Surface	p. 205
Matching on a Sphere or a Cylinder	p. 205
A Three-dimensional Lattice of Sphere: SGFM Study of a Muffin Tin Crystal	p. 217
A Two-dimensional Lattice of Cylinders or Disks	p. 230
A Sphere and a Plan or Two Spheres	p. 241
The Full Transfer Matrix and SGFM For Continuous Media	p. 249
The Full Transfer Matrix and the Scalar Green Function	p. 249
Scalar SGFM from the Full Transfer Matrices	p. 263
General Analysis of the Matrix Case	p. 269
Finding the Green Function for an Arbitrary Medium	p. 276
Matrix SGFM from the Full Transfer Matrices	p. 283
Wavefunction, Green Function and Transfer Matrices for a General System	p. 291
Evaluation of the Full Transfer Matrix	p. 295
Some Practical Examples	p. 299
Transfer Matrix and SGFM For Discrete Media	p. 323
Transfer Matrices for Discrete Crystalline Media	p. 323
SGFM from the Transfer Matrices	p. 330
Some Practical Examples	p. 336
A Miscellany of Problems Related to Matching	p. 369
Selfconsistent Matching Calculations	p. 370
Disordered Interfaces	p. 372
Long Wave Surface Spin Waves	p. 381
Problems Involving Coupled Fields: Piezoelectric and Magnetoelastic Surface Waves	p. 391
Longitudinal and Transverse Fields in Matched Systems	p. 405
Matching with Discontinuities	p. 421
Surface Waves in Fluids	p. 428
A: Matching with Envelope Function Model Hamiltonians	p. 439
References	p. 472
References	p. 473
Index	p. 495
Table of Contents provided by Blackwell. All Rights Reserved.

Theory of Single and Multiple Interfaces : The Method of Surface Green Function Matching

The Method of Surface Green Function Matching

At a Glance

Hardcover

Shipping

How to return your order

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