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For a multicomponent wave field propagating into a multidimensionalconversion region, the rays are shown to be helical, in general. For aray-based quantity to have a fundamental physical meaning it must be invariantunder two groups of transformations: congruence transformations (which shufflecomponents of the multi-component wave field) and canonical transformations(which act on the ray phase space). It is shown that for conversion between twowaves there is a new invariant not previously discussed: the intrinsic helicityof the ray

Ray Helicity: Geometric Invariant for Multidimensional Resonant Wave Conversion