HF‐induced parametric decay in presence of field‐aligned irregularities

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Abstract
A nonlinear theory for the saturation of the HF‐induced parametric decay instability is formulated in terms of the normal modes of a field‐aligned plasma wave duct. Coupling coefficients between modes are derived, and a saturation spectrum is computed numerically for a typical (δn/n0 ∼ 0.04, Λ⊥ ∼ 4.5 m) irregularity. The computed spectrum shows that unstable waves may propagate at larger angles to the B field than would be the case in a regular medium. The relevance of this work to the experiment of Muldrew and Showen (1977), concerning the height of the HF‐induced plasma line at Arecibo, is discussed. A possible explanation is also found for the sharpness of the ‘decay line’ feature in comparison with the ‘broad bump’ in the observed backscatter spectrum.