Aj. Brizard et al., DOUBLE-CROSS INSTABILITY - AN ABSOLUTE INSTABILITY CAUSED BY COUNTER-PROPAGATING POSITIVE-ENERGY AND NEGATIVE-ENERGY WAVES, Physical review letters, 77(8), 1996, pp. 1500-1503
The resonant interaction of a negative-energy wave with a positive-ene
rgy wave gives rise to a linear instability. Whereas a single crossing
of rays in a nonuniform medium leads to a convectively saturated inst
ability, we show that a double crossing can yield an absolute instabil
ity, if the two rays are oppositely directed. We obtain expressions fo
r the growth rate and the threshold, and present one application.