Asymptotic Methods for Partial Differential Equations: The Reduced Wave Equation and Maxwell’s Equations
作者： Joseph B. Keller , Robert M. Lewis
DOI: 10.1007/978-1-4899-0436-2_1
关键词: Partial differential equation 、 First-order partial differential equation 、 Electromagnetic wave equation 、 Asymptotic analysis 、 Mathematical analysis 、 Inhomogeneous electromagnetic wave equation 、 Hyperbolic partial differential equation 、 Eikonal equation 、 Mathematics 、 Differential equation
摘要: The short wavelength or high frequency asymptotic theory of the reduced wave equation and Maxwell’s equations is presented. applied to representative problems involving reflection, transmission, diffraction in both homogeneous inhomogeneous media. It a slightly revised version report1 written 1964 by authors. Despite its age, it still provides convenient introduction formal geometrical diffraction.
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sci-hub.st 参考文章(42)
Yury A. Kravtsov, Yuri Ilich Orlov, Geometrical optics of inhomogeneous media Geometrical Optics of Inhomogeneous Media by Yu. A. Kravtsov. ,(1990) , 10.1007/978-3-642-84031-9
Joseph B. Keller, Clive R. Chester, Asymptotic Solution of Systems of Linear Ordinary Differential Equations With Discontinuous Coefficients ,(2018)
Morris Kline, Electromagnetic theory and geometrical optics ,(1965)
Ieee Antennas, Robert C. Hansen, Geometric theory of diffraction Geometric theory of diffraction. ,(1981)
Bernard D. Seckler, Joseph B. Keller, Geometrical Theory of Diffraction in Inhomogeneous Media The Journal of the Acoustical Society of America. ,vol. 31, pp. 192- 205 ,(1959) , 10.1121/1.1907692
G. B. Whitham, Group velocity and energy propagation for three‐dimensional waves Communications on Pure and Applied Mathematics. ,vol. 14, pp. 675- 691 ,(1961) , 10.1002/CPA.3160140337
Joseph B Keller, S.I Rubinow, Asymptotic solution of eigenvalue problems Annals of Physics. ,vol. 9, pp. 24- 75 ,(1960) , 10.1016/0003-4916(60)90061-0
O. Fleischman, J. Bazer, Propagation of weak hydromagnetic discontinuities ,(1959)
Joseph B. Keller, Bertram R. Levy, Diffraction by a spheroid ,(2011)
R. N. Buchal, J. B. Keller, Boundary Layer Problems in Diffraction Theory Communications on Pure and Applied Mathematics. ,vol. 13, pp. 85- 114 ,(1960) , 10.1002/CPA.3160130109