Applications of Electron Emission Physics

AvKevin L. Jensen

Inbunden, Engelska, 2027

1 471 kr

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Produktinformation

Utgivningsdatum:2027-03-14
Format:Inbunden
Språk:Engelska
Antal sidor:383
Upplaga:27001
Förlag:John Wiley & Sons Inc
ISBN:9781394199563

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Innehållsförteckning

1 Dispenser Cathodes1.1 Miram Curves1.1.1 Longo Equation1.1.2 Effect of GTF Emission1.1.3 Effect of Multiple Crystal Faces1.2 Diffusion of Coatings1.2.1 Point Source Model1.2.2 Lattice Gas1.2.3 A Simple Model of the Diffusion Coefficient1.2.4 Modeling Diffusion Using a Shuffle Algorithm1.2.5 Adatom Motion and Diffusion Coefficients1.2.6 The Darken Equation1.2.7 Adatom Interactions1.3 Evaporation of Coatings1.4 Knudsen Flow Through Pores1.5 Lifetime of a Sintered Wire Controlled Porosity Dispenser Cathode 2 Field Emitters2.1 Field Enhancement2.2 Hemispheres and Notional Emission Area2.3 Point Charge Model2.4 Schottky’s Conjecture2.5 Assessment of the Tip Current Models2.6 Line Charge Models2.6.1 Simple Line Charge Model2.6.2 Tapered Line Charge Model2.7 Prolate Spheroidal Representation2.7.1 Hyperbolic Emitter2.7.2 Ellipsoidal Emitter2.8 A Hybrid Analytic-Numerical Model2.8.1 Analytic: the Saturn Model2.8.2 Numerical: Boundary Element Methods2.8.3 Semi-Analytic Model2.9 Shielding2.10 Statistical Variation2.11 Paschen’s Curve2.11.1 Modified Paschen’s Curve2.11.2 Ions and the Emission Barrier2.12 Breakdown2.12.1 Nottingham Heating2.12.2 Henderson Cooling2.13 Fibers and Nanowires2.13.1 Joule Heating2.13.2 Analytic Model of Temperature2.13.3 Numerical Model of Temperature 3 Photoemitters3.1 Scattering Consequences3.2 Basic Theory3.3 Three Step Model3.4 Moments Model3.4.1 Metals3.4.2 Semiconductors3.5 Reflectivity and Penetration Factors3.6 Lorentz-Drude Model of the Dielectric Constant3.6.1 Harmonic Model3.6.2 Quasi-Classical Boltzmann Model3.6.3 Quantum Model3.7 Scattering Contributions3.7.1 Dowell-Schmerge Relation3.7.2 Scattered Electron Contribution3.7.3 Shell and Sphere Models3.8 Low Work Function Coatings3.8.1 Simple Dipole Model3.8.2 Topping Model3.8.3 Gyftopoulos-Levine Model 4 Secondary Emission4.1 Diamond Amplifier Concept4.1.1 Bethe Approximation4.1.2 Penetration Range and Initial Conditions4.2 Monte Carlo Methods4.2.1 Poisson Statistics4.2.2 Random Number Generation4.2.3 Scattering and Self-Scattering4.3 Relaxation Time4.3.1 Ionized Center4.3.2 Sinusoidal Potential4.3.3 Electron-Electron Scattering4.3.4 Acoustic Phonon Scattering4.3.5 Optical Phonon and Ionized Impurity Scattering.4.3.6 Scattering Angles4.3.7 Allowed Final States4.4 Monte Carlo and Diamond Amplifier Response Time 5 Space Charge5.1 Generalized Child’s Law5.1.1 Constant Density Approximation5.1.2 Constant Current Approximation5.2 Transit Time Model5.3 Space Charge for a Single Emitter5.3.1 Poisson Distribution5.3.2 Transit Time Model5.3.3 Sequential Emission Model5.4 Space Charge for an Array 6 Electron Beam Physics6.1 Electron Orbits and Cathode Area6.2 Beam Envelope Equation6.3 Emittance for Flat and Uniform Surfaces6.3.1 Liouville’s Theorem and Normalized rms Emittance6.3.2 Thermal Emittance6.3.3 Field Emission Emittance6.3.4 Comparisons of the 1D Emittance Equations6.3.5 Space Charge and Emittance6.3.6 Secondary Emission and Emittance6.4 Emittance for A Bump6.4.1 Trajectory Evaluation6.4.2 Hemispheres and Emittance6.4.3 Impulse Approximation6.4.4 Single Hemisphere Emittance Parameters6.4.5 A Notional Emittance for a Hemisphere6.4.6 An Array of Emitters6.5 Emittance and Realistic Surfaces6.5.1 Emittance and Undulating Surfaces6.5.2 Intrinsic Emittance and Space Charge6.6 Particle-in-Cell Models 7 Algorithms7.1 Permutation Algorithm7.2 Least Squares Fitting of Data7.3 Wave Function and Density Algorithm7.4 Root Finding Methods7.4.1 Method of Bisection7.4.2 Method of Iteration7.4.3 Final Correction7.5 Simple ODE Solvers7.5.1 First order7.5.2 Second order7.6 Roots of the Quadratic Image Charge Barrier7.7 Zeros of the Airy Function7.8 Sodium Exchange-Correlation Potential7.9 Field Dependent Work Function7.10 Evaluation of the Point Charge Model Functions7.11 Modeling of Field Emitter I(V ) Data7.12 Modeling a Log-Normal Distribution of Field Emitters7.13 Simple Shell and Sphere Algorithm7.14 Gyftopoulos-Levine Work function Algorithm7.15 Poisson Distributions7.15.1 Generation7.15.2 Test of Acceptance-Rejection Method7.16 Electron-Electron Relaxation Time7.17 Resistivity and the Debye Temperature7.18 Orbits in a Magnetic Field7.19 Trajectory of a Harmonic Oscillator7.20 Trajectories for Emission from a Hemisphere7.21 Monte Carlo and Integration