By Percy Williams Bridgman
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The attenuation Àk2 is small just beyond cut-off but large just beyond resonance. 1. 95c) where As seen from the above relations, if C ¼ 0 and either A 6¼ 0 or B 6¼ 0, at least one root of the equation is zero. This represents then the cut-off condition. As C is independent of y, the cut-off condition does not depend on the direction of propagation. Similarly, A ¼ 0 represents the resonance condition. 96) In contrast to cut-off condition, resonance condition depends on y. 58) have always real values.
31) can be used to obtain the wave surfaces for ordinary and extraordinary waves for negatively and positively uniaxially anisotropic media. The wave surface for negatively uniaxial medium is illustrated in Fig. 3 whereas the wave surface for positively uniaxial medium is illustrated in Fig. 4. a Ordinary Wave Surface b k0 e33 k0 e11 Extraordinary Wave Surface Fig. 3 Wave surface for negatively unaxial medium, e33 < e11 . (a) 3D plot ordinary wave and extraordinary wave surfaces (b) 2D plot of wave normal surfaces 22 a 2 Wave Propagation and Dispersion Characteristics in Anisotropic Medium b Extraordinary Wave Surface k0 e33 k0 e11 Ordinary Wave Surface Fig.
47) using two different methods. 3 Dispersion Relations and Wave Matrices 37 dispersion relation in terms of the angle y which is the angle between the wave vector k^ which represents the direction of the wave normal and the vector b^0 which represents the direction of the static magnetic field. The two roots kI and kII represent the wave numbers for the type I and the type II waves. Then, we give the solutions for the wave numbers kI and kII in term of y. In the second method, we represent the dispersion relation in terms of kzI and kzII which represent the wave numbers in the z-direction and then give the solutions for the wave numbers kzI and kzII in terms kr which is the transverse component of the wave vector.