Advances in Imaging and Electron Physics
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Table of contents
- Contentsv
- Contributorsix
- Prefacexi
- Future Contributionsxiii
- Chapter 1. Evanescent Waves in the Near and the Far Field1
- I. Introduction1
- II. Solution of Maxwell’s Equations4
- III. Green’s Tensor and Vector6
- IV. Electric Dipole8
- V. Angular Spectrum Representation of the Scalar Green’s Function10
- VI. Angular Spectrum Representation of Green’s Tensor and Vector11
- VII. Traveling and Evanescent Waves12
- VIII. The Auxiliary Functions14
- IX. Relations Between the Auxiliary Functions17
- X. The Evanescent Part18
- XI. The Traveling Part20
- XII. The z-Axis21
- XIII. The xy-Plane23
- XIV. Relation to Lommel Functions26
- XV. Expansion in Series with Bessel Functions27
- XVI. Asymptotic Series29
- XVII. Evanescent Waves in the Far Field31
- XVIII. Uniform Asymptotic Approximation33
- XIX. Traveling Waves in the Near Field45
- XX. The Coefficient Functions47
- XXI. Integral Representations51
- XXII. Evanescent Waves in the Near Field53
- XXIII. Integral Representations for Evanescent Waves55
- XXIV. Conclusions60
- Appendix A60
- Appendix B63
- References65
- Chapter 2. Symmetry and the Karhunen–Loève Decomposition69
- I. Introduction70
- II. The Karhunen–Loève Decomposition71
- III. Basics from the Group Representation Theory79
- IV. KL Decomposition and Symmetry84
- V. Applications91
- VI. Conclusion105
- References105
- Chapter 3. Analysis of Irregularly Sampled Data: A Review109
- I. Introduction109
- II. Application Areas111
- III. Noniterative Methods113
- IV. Iterative Methods133
- V. Incorporating the Uncertainty of the Data: Normalized and DiVerential Convolution136
- VI. A Comparative Study in 1D148
- VII. Survey of State of the Art157
- VIII. Conclusions162
- References163
- Chapter 4. Recent Developments in the Microscopy of Ceramics167
- I. Introduction168
- II. High-Resolution Microscopy of Ceramics168
- III. Electron Energy-Loss Spectroscopy of Ceramics189
- IV. Energy-Filtered TEM (EFTEM)227
- V. Concluding Comments238
- References240
- Chapter 5. Five-Dimensional Hamilton–Jacobi Approach to Relativistic Quantum Mechanics247
- I. Introduction247
- II. Covariant Hamilton Formalism for Spin-1/2 Particles248
- III. Spin Precession253
- IV. Reduced Relativistic Lagrangain and Hamiltonian256
- V. Properties of the Action Function260
- VI. Self-Action261
- VII. Multi-Particle System266
- VIII. Quantization of the Five-Dimensional Hamilton–Jacobi Equation268
- IX. Free-Particle Solutions272
- X. Integral Equation and Path Integral275
- XI. Eikonal Approximation of the Relativistic Propagator280
- XII. Conclusion283
- References284
- Chapter 6. Redundant Multiscale Transforms and Their Application for Morphological Component Separat287
- I. Introduction288
- II. Background. Part I. Wavelet290
- III. Background. Part II. From Wavelets to Curvelets307
- IV. Background. Part III. Sparsity in Transforms320
- V. Morphological Component Analysis330
- VI. Conclusion342
- References345
- Index349
The series bridges the gap between academic researchers and R&D designers by addressing and solving daily issues, which makes it essential reading.
This volume looks at theory and it’s application in a practical sense, with a full account of the methods used and realistic detailed application. The authors do this by examining the latest developments, historic illustrations and mathematical fundamentals of the exciting developments in imaging and electron physics and apply them to realistic practical situations.
* Emphasizes broad and in depth article collaborations between world-renowned scientists in the field of image and electron physics
* Presents theory and it's application in a practical sense, providing long awaited solutions and new findings
* Provides the steps in finding answers for the highly debated questions
This volume looks at theory and it’s application in a practical sense, with a full account of the methods used and realistic detailed application. The authors do this by examining the latest developments, historic illustrations and mathematical fundamentals of the exciting developments in imaging and electron physics and apply them to realistic practical situations.
* Emphasizes broad and in depth article collaborations between world-renowned scientists in the field of image and electron physics
* Presents theory and it's application in a practical sense, providing long awaited solutions and new findings
* Provides the steps in finding answers for the highly debated questions