 2016 - 2017 | |||||||||||||||||||||||||||||
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| 0512-4862-01 | Propagation and Scattering of Waves | ||||||||||||||||||||||||||||
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| FACULTY OF ENGINEERING | |||||||||||||||||||||||||||||
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University credit hours: 4.0
Course description
Credit points: 3.5
Prerequisites: Wave Transmission & Lines
Basic laws of electromagnetics: Plane-wave solutions in lossless and lossy media and in plane stratified media. Radiation in free space: analysis via Green’s functions and via plane wave spectra; near and far field solutions; asymptotic evaluation of spectral integrals. Scattering theory: Kirchhoff theorem; Sommerfeld radiation condition; integral equations; numerical solutions via the method of moments (MoM). Physical Optics (PO): asymptotic evaluation of integrals and Geometrical Optics (GO). Home projects: 1. Scattering by a cylinder: Comparison of the exact Mie series solution with the MoM and the PO solutions. 2. Scattering by a conducting half plane: asymptotic evaluation of integrals, GO and edge diffraction. Radiation from apertures: Kirchhoff integrals; Fraunhofer and Fresnel diffractions; thin lenses. Gaussian beams via integral and via differential equation representations. Geometrical optics (GO): Asymptotic solutions of Maxwell’s equations in general inhomogeneous media; wavefronts and rays; Fermat principle; caustics and foci; reflection and transmission at curved interfaces; construction of Green’s functions in inhomogeneous media; GO in a uniform medium. Geometrical Theory of Diffraction (GTD): Basic laws; edge diffraction, surface diffraction (creeping waves) and interface diffraction (head waves); comparison with PO solutions; Radar cross section. Modal fields: eigenvalue and eigenfunctions; WKB solutions for non-uniform guides; Hermite modes; Whispering gallery modes.
Prerequisites: Wave Transmission & Lines
Basic laws of electromagnetics: Plane-wave solutions in lossless and lossy media and in plane stratified media. Radiation in free space: analysis via Green’s functions and via plane wave spectra; near and far field solutions; asymptotic evaluation of spectral integrals. Scattering theory: Kirchhoff theorem; Sommerfeld radiation condition; integral equations; numerical solutions via the method of moments (MoM). Physical Optics (PO): asymptotic evaluation of integrals and Geometrical Optics (GO). Home projects: 1. Scattering by a cylinder: Comparison of the exact Mie series solution with the MoM and the PO solutions. 2. Scattering by a conducting half plane: asymptotic evaluation of integrals, GO and edge diffraction. Radiation from apertures: Kirchhoff integrals; Fraunhofer and Fresnel diffractions; thin lenses. Gaussian beams via integral and via differential equation representations. Geometrical optics (GO): Asymptotic solutions of Maxwell’s equations in general inhomogeneous media; wavefronts and rays; Fermat principle; caustics and foci; reflection and transmission at curved interfaces; construction of Green’s functions in inhomogeneous media; GO in a uniform medium. Geometrical Theory of Diffraction (GTD): Basic laws; edge diffraction, surface diffraction (creeping waves) and interface diffraction (head waves); comparison with PO solutions; Radar cross section. Modal fields: eigenvalue and eigenfunctions; WKB solutions for non-uniform guides; Hermite modes; Whispering gallery modes.