By Kurt E. Oughstun
Electromagnetic and Optical Pulse Propagation offers a scientific remedy of the radiation and propagation of brief electromagnetic and optical wave fields (such as these utilized in ultrawideband radar and communications structures in addition to in ultrashort pulsed optics) via causal, in the community linear media which show either temporal dispersion and absorption. quantity I offers an in depth, rigorous improvement of the basic thought of either time and frequency-domain electromagnetics, starting with the classical Maxwell-Lorentz conception of microscopic electromagnetic fields and its invariance within the precise conception of relativity, the correlation of the microscopic and macroscopic fields, and the angular spectrum illustration of pulsed radiation fields in causally dispersive media. the speculation offers a rigorous framework for utilized study treating temporally pulsed wave fields in dielectric, carrying out and semiconducting fabrics. quantity II provides the asymptotic description of particular pulsed wave fields in either Debye and Lorentz version dielectrics, Drude version conductors and composite version semiconductors.
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Extra info for Electromagnetic and Optical Pulse Propagation 2: Temporal Pulse Dynamics in Dispersive, Attenuative Media
See Sect. 3 of Vol. / Á . //1=2 is the complex index of refraction of the medium. / Á k4 k. /H Á k4 k. 117). / tric multipole while the component vector field quantities E `;m `;m are the corresponding fields generated by a magnetic multipole, each of degree ` and order m. 152) then being the electric and magnetic multipole moments, respectively. , valid everywhere external to the source region). Os Ym Ym ` / D ` , a consequence of the fact that the vector spherical harmonic functions are everywhere tangential to the unit sphere jsj D 1, has been used.
15. 103). Â; /; ` ` where j` . / 1 D . r; Â; / denotes the spherical polar coordinates of the field point r with reference to the same coordinate axis system as the complex-valued vector sO. /d r ; r 0 ÄR which is the desired result. / D k4 k . C/ point r and where h` . / denotes the spherical Hankel function of the first kind of order `. / appearing in that expansion are the corresponding multipole moments. Finally, unlike the angular spectrum of plane waves representation which is valid only in the two half-spaces z > R and z < R, the multipole expansion of the same wavefield is valid for all r > R (that is, for all points outside the source region).
Tric multipole while the component vector field quantities E `;m `;m are the corresponding fields generated by a magnetic multipole, each of degree ` and order m. 152) then being the electric and magnetic multipole moments, respectively. , valid everywhere external to the source region). Os Ym Ym ` / D ` , a consequence of the fact that the vector spherical harmonic functions are everywhere tangential to the unit sphere jsj D 1, has been used. r/ k D . r/ « D . 65) of Vol. 18). / above pair of expressions for the multipole moments simplify to the well-known expressions given in graduate-level electromagnetics texts (see, for example, Chap.