Ray helicity: a geometric invariant for multi-dimensional resonant wave conversion

Details Ray helicity: a geometric invariant for multi-dimensional resonant wave conversion Ray helicity: a geometric invariant for multi-dimensional resonant wave conversion

2003-03-20

arxiv.org/abs/physics/0303086v1

Physics

Classical Physics

Scientific paper

10.1103/PhysRevLett.91.130402

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

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