Analytical results are presented for laser beam deflection rate due to
plasma flow when the ponderomotive force (PMF) is static and given. E
xplicit expressions are obtained in various parameter regimes includin
g that of weak PMF for the case of a coherent (diffraction limited) be
am and a beam whose fluctuations are spatially homogeneous, as in the
case of a model random phase plate beam. When the Landau damping coeff
icient, gamma(0), is negligible and the beam is either coherent and cy
lindrically symmetric, or random with isotropic fluctuations, the defl
ection rate is obtained as a closed form function of plasma flow Mach
number, M. For finite damping, results are expressed in terms of a uni
versal, one dimensional integral parameterized by M and gamma(0). For
arbitrary PMF and M small, the problem is identified with one in the t
heory of random dielectric media. (C) 1997 American Institute of Physi
cs.