## Foundations of Applied ElectrodynamicsFoundations of Applied Electrodynamics takes a fresh look at the essential concepts and methods of electrodynamics as a whole, uniting the most relevant contemporary topics under a common mathematical framework. It contains clear explanations of high-level concepts as well as the mutual relationships between the essential ideas of electromagnetic theory. Starting with the fundamentals of electrodynamics, it methodically covers a wide spectrum of research and applications that stem from electromagnetic phenomena, before concluding with more advanced topics such as quantum mechanics. - Includes new advances and methodologies in applied electrodynamics, and provides the whole picture of the theory of electrodynamics in most active areas of engineering applications
- Systematically deals with eigenvalue problems, integral equation formulations and transient phenomena in various areas of applied electrodynamics
- Introduces the complete theory of spherical vector wave functions, and presents the upper bounds of the product of gain and bandwidth for an arbitrary antenna
- Presents the field approach to multiple antenna system, which provides a theoretical tool for the prediction of channel models of MIMO, and is also the basis of wireless power transmission system
- One of the first books on electromagnetics that contains the general theory of relativity, which is needed in the design of mobile systems such as global positioning system (GPS)
By summarising both engineering and theoretical electromagnetism in one volume, this book is an essential reference for practicing engineers, as well as a guide for those who wish to advance their analytical techniques for studying applied electrodynamics. |

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### Contents

Solutions of Maxwell Equations | |

Eigenvalue Problems | |

Antenna Theory | |

Relativity | |

Quantization of Electromagnetic Fields | |

Set Theory | |

Special Functions | |

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antenna antenna quality factor arbitrary assumed bandwidth boundary conditions bounded called cavity resonator charge coefficients compact components consider constant coordinate system corresponding current source defined denoted derivative dielectric dipole domain eigenfunctions eigenvalue problem electric field electromagnetic fields element equivalent circuit exists expressed finite frequency Galilean transformation Green’s function Hamiltonian Helmholtz equation Hilbert space images where images impedance implies inertial inhomogeneous inner product integral equation introduce Lagrangian linear Lorentz Lorentz transformation lossless magnetic current magnetic field mathematician Maxwell equations medium metal cavity method metric tensor microwave modal voltages momentum norm obtain operator orthonormal parameters particle physical physicist polarization Poynting Poynting theorem propagation radiation reference frame relativity resonant respectively satisfy scalar scatterer self-adjoint sequence shown in Figure solution special relativity spherical surface symmetric tangent theorem theory time-domain transformation transverse vector modal functions vector potential velocity wave wavefunctions waveguide wavenumber wavepacket zero