Acoustic and electromagnetic waves
From a mathematical point of view, acoustics and electromagnetism exhibit similar phenomena and are tackled with the same kind of technique. Jones's exhaustive study is unique in providing a unified treatment of the two fields, bringing out their common and disparate features and showing how they cross-fertilize one another. The book is designed so that the reader with a familiarity with either Maxwell's Equations or the equation of sound waves in fluid dynamics can follow the developments in both fields without difficulty. This is a comprehensive treatment which will provide a needed reference for researchers in applied mathematics and mathematical physics but also caters to the student, who is taken up to the frontiers of research with the help of appropriate exercises. Engineers with any sort of mathematical competence, particularly electrical engineers and those concerned with communications technology, will need to have access to it.
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The representation of acoustic and electromagnetic fields
The electromagnetic potentials
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acoustic amplitude angle antenna aperture approximation assumed asymptotic axes axis behaviour Bessel functions boundary condition circular constant cross-section curl cylinder deduced defined density derivative dielectric diffraction dipole direction of propagation distance divergence theorem dx dy edge eigenfunctions electric intensity electromagnetic field energy finite formula free space frequency grad Hence Hertz Hertz vector impedance incident wave infinity integral equation interface Lorentz transformation magnetic Maxwell's equations medium mode normal obtained parallel particle perfectly conducting perpendicular phase plane wave point of observation polar coordinates positive Poynting vector radiation radius reflected wave refractive index replaced respect right-hand side satisfies scalar scattered field scattering coefficient screen Show soft boundary solution speed sphere spherical spheroid stationary surface surface integral tangential components TE-modes tensor theorem tion total field transformation unit vector vanishes velocity wavefront waveguide wavelength x-axis z-axis zero