By Slavenas P.
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Additional info for A Possible Way to Discuss the Fundamental Principles of Relativity
25a) and components kx,kyy and k2 along the axes of the cartesian coordinate system. 26) 28 2 PLANE WAVES IN HOMOGENEOUS ISOTROPIC MEDIA where ^ ( ω ) is the amplitude and θ^ω) is the phase factor ofΛ (ω). 26). 27) which we shall henceforth call the reduced wave equation. 16)' by assuming a solution of the form F(z't) , =/(z )exp(-/ct>0. 27) will be satisfied as before. 31a) where f k" = ixkx + iyk ; + ixk';. 30) describes a wave of varying amplitude or an inhomoge neous plane wave. It will follow that the planes of constant amplitude are given by k" · r = constant while the planes of constant phase are determined by k' · r = constant.
For the direction of propagation parallel to the magnetostatic field (z axis); 0 = 0 and we obtain 1/2 «ι,2 = (« + >/) . » and ε 3 3 = (. 51) c/W from which it follows that Ez = 0 and the electric field is in the plane trans verse to the direction of propagation. 50). 52b) designates a left-hand circularly polarized wave. 53a) exp(ik0 nxz) - (ilx - \y)n2 E2 exp(/£ 0 n2z). 53b) Next, consider the direction of propagation parallel to the χ axis. 54) C - n l J \ E j it will follow that two groups of solutions are possible.
61b) in the lower medium. It will follow that in the upper medium the planes of constant phase a n d constant amplitude are orthogonal t o each other, whereas in the lower conducting medium they are not. 3. 21). 63a) Thus, in the upper nonconducting medium the direction of the power flow coincides with the direction of the planes of constant amplitude and ( 1 6 2 2 PLANE WAVES IN HOMOGENEOUS ISOTROPIC MEDIA it is normal to the planes of constant phase. In the lower medium, the direction of the power flow is still orthogonal to the planes of constant phase, but it does not coincide with the direction of the constant amplitude planes since these two planes are not orthogonal to each other.
A Possible Way to Discuss the Fundamental Principles of Relativity by Slavenas P.