December 20, 2002 CBN 02/13

By publishing translation of my Dissertation I am carrying out promises I gave during years to many people around the world. As the interest for polarized positron production is growing at SLAC now, I decide to make quick translation. This is a translation, not a new publication so I have neither right to upgrade neither any subject to the latest developments [which are reflected in, say, CLNS 01/1758, represented at Snowmass 2001], nor a phrase even. Results represented in this Dissertation still interesting and valid for these times however. Moreover, they become even more valuable due to impending decision about Next Linear Collider. The conversion system was proposed in mid 1979, when W’s and Z were not discovered yet [CERN, 1983]. The concept of spin, remaining a mystery, introduced by two clairvoyants G.E.Uhlenbeck and S.A.Goudsmit [Naturwissenschaften, 13, (1925), p.953] was interesting to me at all times, however. During 1979-1986 I was busy with other important components of Linear Collider –RF generator and Damping ring.