arXiv subjects

A. N. Kaufman

Publications and source records attributed to A. N. Kaufman.

3 recordsLinked to original sources

arXiv2007

Analysis of ray phase-space recirculation in an extended Budden problem

A three-wave Budden model with two resonance layers is constructed that allows recirculation of energy fluxes along a quadrangle in ray phase space. The transmission, reflection, and conversion coefficients for this extended Budden problem are calculated by ray phase-space methods and the modular-eikonal approach. Analytical and numerical results show that all coefficients exhibit interference effects that depend on an interference phase calculated from the coupling constants and the area enclosed by the quadrangle.

physics.plasm-ph↗

arXiv2003

Local Solutions for Generic Multidimensional Resonant Wave Conversion

In more than one spatial dimension, resonant linear conversion from one wave type to another can have a more complex geometry than the familiar 'avoided crossing' of one-dimensional problems. In previous work we have shown that helical ray shapes are generic in a mathematical sense. Here we briefly describe how the local field structure can be computed.

physics.plasm-ph↗

arXiv2003

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

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.

physics.class-ph↗