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Additional resources for Radiation and Propagation of Electromagnetic Waves
The direction of the energy flow in the upper and lower regions, in addition to phase interpretation of the reflected waves made earlier, sub stantiates the correctness of the geometrical interpretation of the lateral wave mechanism shown in Fig. 4. (Experimental evidence of this effect was first reported in 1938 by Schmidt, who performed experiments with pressure waves produced by a spark discharge at the interface of two liquid half spaces. 7. 4. 74) cos υ ι ηγ β 1 /2 and Z 0 = ( μ 0 / ο ) = 377 ohms is the intrinsic impedance of free space.
Senior, Τ. B. A. (1960). Impedance boundary conditions for imperfectly conducting surfaces, Appl. Sei. Res. B 8 , 418-436. , J. \ . (1941). " McGraw-Hill, New York. von Schmidt, O. (1938). Uber Knall Wellenausbreitung in Flüssigkeiten und Festen Körp ern, Phys. Z. 39, 868-875. Wait, J. R. (1962). " Macmillan, New York. CHAPTER 3 PLANE WAVES IN HOMOGENEOUS ANISOTROPIC MEDIA Anisotropic media in electromagnetic theory can be either electrically anisotropic or magnetically anisotropic. In the first case the medium is characterized by a tensor permittivity D = ε 0 εΕ, and in the second by a tensor permeability Β = μ0μϋ.
5a, b). Since we have just shown that the longitudinal fields cannot exist, we are concerned only with the transverse fields. Let the scalar function £(z', t) denote either Ex. or Ey». W e shall seek a solution by the method of separation of variables. 11b) / t 0 Co/«:/ where /: in this case is the separation constant. The solution to the differential equations above are well known. 12a) 2 . 13) and E l t2 and H 1 >2 are constant vectors, orthogonal to the z' axis. 12), we obtain 1 ikz ikz ikt§ η χ (Eje **' - E2e- ')=f^(Hle ' + H2e' ).