Advances in Imaging and Electron Physics 164 1st Edition by Peter W Hawkes – Ebook PDF Instant Download/Delivery: 0123813123, 9780123813121
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ISBN 10: 0123813123
ISBN 13: 9780123813121
Author: Peter W Hawkes
This thematic volume is on the topic of “Field-emission Source Mechanisms” and is authored by Kevin Jensen, Naval Research Laboratory, Washington, DC.
Advances in Imaging and Electron Physics 164 1st Table of contents:
I. Field and Thermionic Emission Fundamentals
A. A Note on Units
B. Free Electron Gas
1. Quantum Statistical Mechanics
2. The Fermi–Dirac Integral
3. The Chemical Potential
4. A Phase Space Description
C. Nearly Free Electron Gas
1. The Hydrogen Atom
2. Band Structure and the Kronig–Penney Model
3. Semiconductors
4. Band Bending
D. The Surface Barrier to Electron Emission
1. Surface Effects and Origins of the Work Function
2. Ion Core Effects.
3. Dipole Effects Due to Surface Barriers
E. The Image Charge Approximation
1. Classical Treatment
2. Quantum Mechanical Treatment
3. An ‘‘Analytical’’ Image Charge Potential
II. Thermal and Field Emission
A. Current Density
1. Current Density in the Classical Distribution Function Approach
2. Current Density in the Schroumldinger and Heisenberg Representations
3. Current Density in the Wigner Distribution Function Approach
4. Current Density in the Bohm Approach
B. Exactly Solvable Models
1. Wave Function Methodology for Constant Potential Segments
2. The Square Barrier
3. Multiple Square Barriers
4. The Airy Function Approach
5. The Triangular Barrier
C. Wentzel-Kramers-Brillouin WKB Area Under the Curve Models
1. The Quadratic Barrier
2. The Image Charge Barrier
D. Numerical Methods
1. Numerical Treatment of Quadratic Potential
2. Numerical Treatment of Image Charge Potential
3. Resonant Tunneling: A Numerical Example
E. The Thermal and Field Emission Equation
1. The Fowler-Nordheim and Richardson-Laue-Dushman Equations
2. The Emission Equation Integrals and Their Approximation
3. The Revised FN and RLD Equations
F. The Revised FN-RLD Equation and the Inference of Work Function From Experimental Data
1. Field Emission
2. Thermionic Emission
3. Mixed Thermal-Field Conditions
4. Slope-Intercept Methods Applied to Field Emission
G. Recent Revisions of the Standard Thermal and Field Models
1. The Forbes Approach to the Evaluation of the Elliptical Integrals
2. Emission in the Thermal-Field Transition Region Revisited
H. The General Thermal-Field Equation
I. Thermal Emittance
III. Photoemission
A. Background
B. Quantum Efficiency
C. The Probability of Emission
1. The Escape Cone
2. The Fowler–Dubridge Model
D. Reflection and Penetration Depth
1. Dielectric Constant, Index of Refraction, and Reflectivity
2. Drude Model: Classical Approach
3. Drude Model: Distribution Function Approach
4. Quantum Extension and Resonance Frequencies
E. Conductivity
1. Electrical Conductivity
2. Thermal Conductivity
3. Wiedemann–Franz Law
4. Specific Heat of Solids
F. Scattering Rates
1. Fermi’s Golden Rule
2. Charged Impurity Relaxation Time
3. Electron-Electron Scattering
4. A Sinusoidal Potential
5. Monatomic Linear Chain of Atoms
6. Electron-Phonon Scattering
7. Matthiesen’s Rule and the Specification of Scattering Terms
G. Scattering Factor
H. Temperature of a Laser-Illuminated Surface
1. Photocathodes and Drive Lasers
2. A Simple Model of Temperature Increase Due to a Laser Pulse
3. Diffusion of Heat and Corresponding Temperature Rise
4. Multiple Pulses and Temperature Rise
5. Temperature Rise in a Single Pulse: The Coupled Heat Equations
6. The Electron-Phonon Coupling Factor g: A Simple Model
I. Numerical Solution of the Coupled Thermal Equations
1. Nature of the Problem.
2. Explicit and Implicit Solutions of Ordinary Differential Equations
3. Numerically Solving the Coupled Temperature Equations With Temperature-Dependent Coefficients
J. Revisions to the Modified Fowler-Dubridge Model: Quantum Effects
K. Quantum Efficiency Revisited: A Moments-Based Approach
L. The Quantum Efficiency of Bare Metals
1. Variation of Work Function With Crystal Face
2. The Density of States With Respect to the Nearly Free Electron Gas Model
3. Surface Structure, Multiple Reflections, and Field Enhancement
4. Contamination and Effective Emission Area
M. The Emittance and Brightness of Photocathodes
IV. Low-Work Function Coatings and Enhanced Emission
A. Historical Perspective
B. A Simple Model of a Low-Work Function Coating
C. A Less Simple Model of the Low-Work Function Coating
D. The (Modified) Gyftopoulos-Levine Model of Work Function Reduction
E. Comparison of the Modified Gyftopoulos-Levine Model to Thermionic Data
F. Comparison of the Modified Gyftopoulos-Levine Model to Photoemission Data
V. Appendices
A. Integrals Related to Fermi-Dirac and Bose-Einstein Statistics
B. The Riemann Zeta Function
VI. Conclusion
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