“…For the PDI in which an electromagnetic X-mode pump wave decays into a warm UH and a warm LH wave near the UHR of the pump wave, we have generalized the results of [4,9,10]; the details are given in [11]. The dispersion relations describring the warm LH and warm UH waves in a simple plasma are given by [10,11], for vanishing k || (with respect to the equilibrium magnetic field B) they become, , indicating that propagating warm UH waves only exist on the same side of the UHR as the propagating X-mode, for which ω 2 < ω 0 < ω UH , when ω pe 2 < 3ω ce 2 , generally limiting the occurrence of this kind of PDI to underdense and weakly overdense plasmas, e.g.…”