This article extends the work of Skupsky and Lee (Skupsky, S.,
Lee, K., Appl. Phys. 54 (1983) 3662) and Murakami et al. (Murakami, M., et al., J. Appl.
Phys. 74 (1993) 802) in presenting analytic formulas that predict the laser flux
asymmetry, in various inertial confinement fusion (ICF) targets from low order modes,
due to beam geometry, variations in beam power and beam pointing errors. The variance
per l mode σ2l is given for both direct drive and tetrahedral hohlraums, as a function of
mode number, the beam geometry, and the pointing and power balance errors. For the
National Ignition Facility (NIF), a proposed 1.8 MJ laser, the flux asymmetry on a direct drive capsule is dominated
by power balance errors in modes 1 and 2. For the Omega, a 30 kJ laser at the Laboratory
for Laser Energetics at the University of Rochester, the flux asymmetry on a direct drive
capsule is dominated by pointing errors in modes 1 to 5. The flux asymmetry on a
tetrahedral indirect drive target is dominated by the Y3,2 mode resulting from the laser
entrance holes.