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Preface | |
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Gauss's Law, Surface Integrals, and Electric Fields | |
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Motivation | |
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Field concept | |
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Definition of field | |
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Electric field | |
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Effect of the medium | |
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Flux of vector field | |
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Gauss's law | |
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Determination of field from flux | |
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Point charge | |
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Coulomb's law | |
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Superposition of fields | |
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Summary | |
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Problems | |
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Ampere's Law, Line Integrals, and Magnetic Fields | |
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Magnetic field | |
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Effect of the medium | |
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Magnetomotive force | |
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Ampere's law | |
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Determination of field from current | |
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Current and current density | |
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Conservation of charge | |
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Magnetic field of semi-infinite filament | |
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Current element | |
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Superposition of fields | |
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Biot-Savart law | |
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Current element as dipole flow source | |
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Summary | |
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Problems | |
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Emf, Field Dynamics, and Maxwell's Equations | |
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Electromotive force | |
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Ohm's law | |
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Electric power density | |
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Faraday-Maxwell law | |
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How Ampere's law fails | |
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Ampere-Maxwell law | |
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Types of current | |
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Magnetic field of a moving charge | |
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Gauss's magnetic law | |
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Boundary conditions | |
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Extraordinary boundary conditions | |
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Summary of boundary conditions and effects of conductivity | |
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Superconductors, plasmas, and space charge | |
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Summary | |
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Problems | |
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Maxwell's Equations and Quasistatic Analysis | |
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Field equations | |
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Maxwell's equations | |
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Quasistatic fields | |
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Surprises for circuit analysts | |
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Systematic quasistatic analysis | |
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Normal modes | |
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Cylindrical cavity | |
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Fields in a wire | |
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Microstrip lines | |
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Summary | |
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Problems | |
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Transmission Lines, Time Delay, and Wave Propagation | |
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Transmission line parameters | |
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Transmission line equations | |
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Quasistatic analysis of transmission line | |
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Summation of series | |
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Interpretation: matched line | |
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Interpretation: waves | |
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Mismatched line | |
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Incident and reflected waves | |
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Summary | |
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Problems | |
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Steady-State Wave Transmission and Plane Waves | |
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Sinusoidal steady state | |
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Complex exponentials | |
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Sinusoidal waves | |
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Transmission lines in the steady state | |
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Power transfer | |
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Plane waves | |
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Wave designators | |
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Sinusoidal plane waves | |
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Polarization | |
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Linear and circular polarization | |
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Optically active media | |
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Incident and reflected plane waves | |
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Source of plane waves | |
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Load impedances for plane waves | |
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Summary | |
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Problems | |
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Impedance Matching Techniques and Oblique Waves | |
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Standing waves | |
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Impedance measurement and standing wave ratio | |
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Impedance matching with a tuning stub | |
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Smith chart | |
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Reflection at a mirror | |
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Antireflection coating | |
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Oblique incidence | |
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Oblique waves as nonuniform transverse waves | |
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Snell's laws | |
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Transverse electric and transverse magnetic polarizations | |
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Brewster's angle | |
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Failure of Snell's law | |
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Reactive impedances | |
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Total internal reflection | |
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Significance for dielectric waveguides | |
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Reflection at grazing incidence | |
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Summary | |
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Problems | |
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Poynting Theorems and Lossy Transmission Lines | |
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Poynting theorem | |
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Interpretation | |
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Coaxial line | |
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Complex Poynting theorem | |
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Interpretation | |
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General transmission lines | |
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Solution to general transmission line equations | |
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Interpretation | |
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Plane waves in conductors | |
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Summary | |
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Problems | |
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Waveguiding and Radiating Structures | |
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Parallel-plate transmission line | |
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Waveguides | |
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Separation of variables | |
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TE and TM modes | |
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Interpretation of waveguide modes | |
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Wave dispersion and group velocity | |
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Antennas and radiation | |
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Antenna terminology | |
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Summary | |
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Problems | |
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Review, Epilogue, and Appendix | |
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Review of concepts | |
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Vistas ahead | |
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Appendix | |
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Complex numbers | |
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Coordinate systems | |
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Vector algebra | |
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Dyadics | |
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Vector differential calculus | |
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Differential operations in various coordinate systems | |
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Vector integral calculus | |
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Fourier transforms | |
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Convolution | |
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Decibel scale | |
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Problems | |
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Answers to Problems | |
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Index | |