The paper presents a theoretical and a numerical treatment of the prob
lem of passive current drive in a fusion plasma. In such a scenario th
e current is driven by the self-generated cyclotron radiation. The nec
essary asymmetry is introduced with the help of fish-scale structures
on the reflecting wall which surrounds the plasma. The problem of the
photon equilibrium in a bounded system is the subject of the first par
t of this paper. The general case of a plasma surrounded by a reflecti
ng wall is presented in the form of a Fredholm integral equation of th
e second kind. This integral equation is then simplified for small fis
h-scale-like structures on the first wall with the help of a probabili
stic approach. A self-consistent solution for the radiation intensity
distribution is obtained numerically for a cylindrical plasma model un
der such boundary conditions. Based on this and on local current drive
efficiencies derived in a companion paper [S. V. Kasilov and W. Kernb
ichler, Phys. Plasmas, 3, 4115 (1996)], the radial profile of a steady
toroidal current as well as overall efficiencies are computed. (C) 19
96 American Institute of Physics.