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Electromagnetic Radiation Variational Methods, Waveguides and Accelerators

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ISBN-10: 3540293043

ISBN-13: 9783540293040

Edition: 2006

Authors: Kimball A. Milton, J. Schwinger

List price: $79.99
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This is a graduate level textbook on the theory of electromagnetic radiation and its application to waveguides, transmission lines, accelerator physics and synchrotron radiation. It has grown out of lectures and manuscripts by Julian Schwinger prepared during the war at MIT's Radiation Laboratory, updated with material developed by Schwinger at UCLA in the 1970s and 1980s, and by Milton at the University of Oklahoma since 1994. The book includes a great number of straightforward and challenging exercises and problems. It is addressed to students in physics, electrical engineering, and applied mathematics seeking a thorough introduction to electromagnetism with emphasis on radiation theory…    
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Book details

List price: $79.99
Copyright year: 2006
Publisher: Springer Berlin / Heidelberg
Publication date: 4/13/2006
Binding: Paperback
Pages: 347
Size: 6.10" wide x 9.25" long x 0.23" tall
Weight: 1.232
Language: English

Maxwell's Equations
Microscopic Electrodynamics
Microscopic Charges
The Field Equations
Variational Principle
Conservation Theorems
Delta Function
Radiation Fields
Multipole Radiation
Work Done by Charges
Macroscopic Fields
Problems for Chap. 1
Spherical Harmonics
Connection to Bessel Functions
Multipole Harmonics
Spherical Harmonics
Multipole Interactions
Problems for Chap. 2
Relativistic Transformations
Four-Dimensional Notation
Field Transformations
Problems for Chap. 3
Variational Principles for Harmonic Time Dependence
Variational Principles
Boundary Conditions
Babinet's Principle
Reciprocity Theorems
Problems for Chap. 4
Transmission Lines
Dissipationless Line
Resistive Losses
Example: Coaxial Line
Cutoff Frequencies
Problems for Chap. 5
Waveguides and Equivalent Transmission Lines
Transmission Line Formulation
Hertz Vectors
Orthonormality Relations
Energy Density and Flux
Impedance Definitions
Complex Poynting and Energy Theorems
Problems for Chap. 6
Rectangular and Triangular Waveguides
Rectangular Waveguide
Isosceles Right Triangular Waveguide
Equilateral Triangular Waveguide
Problems for Chap. 7
Circular Cross Section
Cylinder Functions
Circular Guide
Circular Guide with Metallic Cylindrical Wedge
Coaxial Guide
Coaxial Guide with Metallic Cylindrical Wedge
Elliptic and Parabolic Cylinder Coordinates
Problems for Chap. 8
Reflection and Refraction
Problems for Chap. 9
Variational Methods
Variational Principles
Rayleigh's Principle
Proof of Completeness
Variation-Iteration Method
Error Estimates
Problems for Chap. 10
Examples of Variational Calculations for Circular Guide
E Modes
Bounds on Second Eigenvalue
H Modes
Problems for Chap. 11
Steady Currents and Dissipation
Variational Principles for Current
Green's Functions
Problems for Chap. 12
The Impedance Concept in Waveguides
Waveguides and Equivalent Transmission Lines
Geometrical Discontinuities and Equivalent Circuits
Normal Modes
Shift of Reference Point
Lumped Network Description
Variational Principle
Bifurcated Guide
Imperfect Conducting Walls
Problems for Chap. 13
Accelerators: Microtrons and Synchrotrons
The Microtron
Cavity Resonators
Elementary Theory
Vertical Defocusing
Radiation Losses
Phase Focusing
Excitation of a Cavity by Electrons
Microwave Synchrotron
Accelerating Cavities
Motion of Electron
Betatron Regime: [epsilon subscript 0] = 0, [Phi subscript 0] = 2[pi]R[superscript 2]H[subscript 0](t)
Betatron Regime and Constant H[subscript 0]
Modern Developments
Problems for Chap. 14
Synchrotron Radiation
Relativistic Larmor Formula
Energy Loss by a Synchrotron
Spectrum of Radiation Emitted by Synchrotron
Angular Distribution of Radiated Power
Historical Note
Problems for Chap. 15
Variational Principle for Scattering
Scattering by a Strip
Normal Incidence
Grazing Incidence
General Incident Angle
Diffraction by a Slit
Approximate Field
Transform of Scattered Field
Differential Cross Section
First Approximation
Exact Electric Field
Approximate Surface Current
Problems for Chap. 16
Quantum Limitations on Microwave Oscillators
Coherent States
Harmonic Oscillator
Free Particle
Electron Interacting with an Oscillator
Extreme Quantum Limit
Problems for Chap. 17
Electromagnetic Units