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By K. Rawer, K. Suchy (auth.), J. Bartels (eds.)

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42 I K. RAWER and K. SUCHY: Radio-Observations of the Ionosphere. with F= e~_ - eo- e+ eo- X e~+(eo-e+)(e+-X) 1_ for Z2~ (1- S sin2 0 (1 ± V1 2 +C2 ) eo - e+sin2 0 eo- X Sect. 7. 44 a) y)2. III. Polarization and refractive index. 7. Polarization of electromagnetic waves in plasma. e. the" transverse polarization". As we have seen in Eq. 25) there is in general also a "longitudinal" component *) of the wave-field E so that a complete description should take account of three components (and thus could not be given by only one complex number).

4). 20J *) With absorption nO is complex and might only be considered as a given physical parameter if p;O= XO [= nO, see Eq. 9)J. The general case ,lip*, XO is discussed below in Subsect. D. **) traceE. ="'2; e:~= L B~~ is the sum of the mixed-variant components with equal indices. e. independent of the coordinate system. 2) MAJUMDAR, R. : Z. Physik 107,599-621 (1937), Eq. (40). 3) AGRANOVIC, V. , u. V. L. GINZBURG: Fortschr. Phys. 11, 163-275 (1963), Eq. 21). , and 1. W. KAY: [08J, Eqs. 62). 30 K.

9) read: 46 K. RAWER and K. SUCHY: Radio-Observations of the Ionosphere. Sect. 7. Considering Eqs. IL Riemann sphere [Eq. 9)] corresponding to BOOKER'S complex plane of Q=F,/F,. [Cf. Fig. ] Im Q 7J' SJ To Fig. 12. Poincare (unit-) sphere [Eq. 12)] as a rotated Riemann sphere. ref. Fig. ] Sect. 7. Polarization of electromagnetic waves in plasma. ): Sl = socos2-&cos2p; s2=Socos2-&sin2p; Sa= So sin 2-& . 12) This is the Poincare sphere. z:<;12 is a measure of the magnitude of the ellipses. One can draw on it the ellipses as determined by {} and p in a similar manner as it has been done for BOOKER'S Q-plane in Fig.

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