2r J

where R = />c/Ze is the particle rigidity, X and ho are the effective size and the characteristic field strength of inhomogeneities, the values R/Ho and R/ho in Eq. 1.8.19 are the Larmor radii of particles in the basic field Ho and inhomogeneities field ho . Strictly speaking, the above presented results are valid when v// >> v±, i.e. when d<< 1. This is realized when R/Ho >> X. In this case the exponential multiplier approaches 1 and 6«R-1, R "2, or R "3, depending on the type of magnetic inhomogeneities. It should be noted that the obtained results are to some extend analogous to (Dorman and Nosov, 1965).

The first type of inhomogeneities (j = 1) corresponds to the pronouncedly limited field in the region x < X where approximately h ~ ho, and beyond this region h ~ 0 (see Fig. 1.8.4). In this case, as in (Dorman and Nosov, 1965), the angle 6« R-1 at great R.

The second type of inhomogeneities (j = 2) corresponds to the case where the field h is absent in the inhomogeneity center, increases gradually when moving away from the center and runs through its maximum but with opposite directions, so that the effective size of the inhomogeneity is as if it is dependent on particle rigidity according to the law Xeff =X(X/(R/Ho)) (see Fig.1.8.4), decreases inversely to the rigidity.

For the third type of inhomogeneities (j = 3), the field is of even more complex nature and reaches 0 at x = ± x/4l; here h < 0 in the regions x > x/4l and x < -X/V2, and h > 0 in the region -X/V2 < x < //V2. In this case

1 These results are presented here in the form (Dorman, 1969b) which is somewhat different from (Parker, 1964) and seems to us to be more convenient for interpretation.


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