dorsal/arxiv
View SchemaRay helicity: a geometric invariant for multi-dimensional resonant wave conversion
| Authors | E. R. Tracy, A. N. Kaufman |
|---|---|
| Categories | |
| ArXiv ID | physics/0303086 |
| URL | https://arxiv.org/abs/physics/0303086 |
| DOI | 10.1103/PhysRevLett.91.130402 |
Abstract
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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"abstract": "For a multicomponent wave field propagating into a multidimensional\nconversion region, the rays are shown to be helical, in general. For a\nray-based quantity to have a fundamental physical meaning it must be invariant\nunder two groups of transformations: congruence transformations (which shuffle\ncomponents of the multi-component wave field) and canonical transformations\n(which act on the ray phase space). It is shown that for conversion between two\nwaves there is a new invariant not previously discussed: the intrinsic helicity\nof the ray.",
"arxiv_id": "physics/0303086",
"authors": [
"E. R. Tracy",
"A. N. Kaufman"
],
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"doi": "10.1103/PhysRevLett.91.130402",
"title": "Ray helicity: a geometric invariant for multi-dimensional resonant wave conversion",
"url": "https://arxiv.org/abs/physics/0303086"
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