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To do so employ the two-term Taylor series expansion F(t) = F t+ 2 + t ∂ F 2 ∂y t+ 2 F 0− = F t− 2 − t ∂ F 2 ∂y t− 2 Volakis-7200025 book ISBN : 9781891121937 October 5, 2011 13:44 33 Bibliography for all field components (since the layer is no longer present) along with Maxwell’s equations to derive the sheet conditions Ex t+ 2 − Ex t− 2 − Ez t+ 2 − Ez t− 2 1 1 + 2Rm 2Re Hz t+ 2 ∂ 1 Ex 2 jko Re ∂ y t+ 2 + Ex = Zo = −Z o − 1 1 + 2Rm 2Re Hx t+ 2 1 ∂ Ez 2 jko Re ∂ y + Hz t+ 2 + Ez t− 2 + Hx t− 2 t− 2 + O(t 2 ) t− 2 + O(t 2 ) in which Rm = −j ko t (μr − 1) and Re = −j r .

Part II ), Moscow: Printing House of the USSR Academy of Sciences. 5–12. Love, A. E. H. (1903). The integration of the equation of propagation of electric waves. Proc. London Math. Soc. Ser. 2, 1. 33 Volakis-7200025 34 book ISBN : 9781891121937 CHAPTER 1 October 5, 2011 13:44 34 Fundamental Concepts and Theorems Mayes, P. E. (1958). The equivalences of electric and magnetic sources. IEEE Trans. , AP-6, 295–296. Post, E. J. (1962). Formal Structure of Electromagnetics. Amsterdam: North-Holland. Rytov, S.

In that case R → 0 and the integrand has a nonintegrable 1/R 3 singularity. 66) where Vo is an infinitesimally small spherical volume centered at the observation point ro (see Figure 2-4) and r is in Vo . It can then be shown that the first term of the second integrand over Vo vanishes and to deal with the second term of the same integral we invoke the identity (Van Bladel, 1985; Collin, 1986a,b). ∇ f dv = Vo ˆo So n f ds. 67) This is based on a generalization of Gauss’s theorem, and accordingly nˆ o denotes the outward normal unit vector to the surface So enclosing Vo .

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A Kinematical Interpretation of Electromagnetism (1919)(en)(8s) by Page L.


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