FOUR-DIMENSIONAL THEORY OF LINEAR MODE CONVERSION
L. Frièdland, Galya Goldner, Allan N. Kaufman · eScholarship (California Digital Library) · 1987
The problem of linear mode conversion is solved for general geometry, in that the dispersion functions Da(k,x), Db(k,x) of the two, orthogonally polarized, coupled modes a,b have spatial gradients aDa/axil, aDb/axll which need not be parallel.The transmission ratio is exp (-21t 11112/ IBI), where 11 is the coupling coefficient, and B is the Poisson Bracket {D ,Db} = (aD lax~) (aDb/ak ) -(aD /ak ) (aD /ax~).The further a a ~ a ~ a generalization to weak dissipation and ray divergence is included.