11 citations · 11 across the 4 of their papers we have counts for
4 papers
Derivation of the Paraxial Ray Equations in Three Conformal Representations
David Robert Bergman
Acoustic rays can be described by null geodesics of a pseudo-Riemannian manifold. This allows for the immediate generalization of paraxial ray systems via geodesic deviation. The t…
Analysis of ray stability and caustic formation in a layered moving fluid medium
David R. Bergman
Caustic formation occurs within a ray skeleton as optical or acoustic fields propagate in a medium with variable refractive properties and are unphysical, their presence being an a…
Internal Symmetry of Space-Time Connections with Torsion
David Robert Bergman
In this brief article an internal symmetry of a generic metric compatible space-time connection, metric and generalized volume element is introduced. The symmetry arises naturally…
Generalized Paraxial Ray Trace Procedure Derived from Geodesic Deviation
David Bergman
Paraxial ray tracing procedures have become widely accepted techniques for acoustic models in seismology and underwater acoustics. To date a generic form of these procedures includ…