2015/08/05 by David R. Bergman, Bergman, David Robert
Computer Science · Earth and Planetary Sciences · Engineering · Physics and Astronomy · #Acoustic Wave Phenomena Research #Classical Physics (physics.class-ph) #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Quantum Electrodynamics and Casimir Effect #Quantum, superfluid, helium dynamics #Speech and Audio Processing #Underwater Acoustics Research
paper · pdf · doi:10.48550/arxiv.1508.01811
openalex publication_date 2015/08/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Acoustic rays can be described by null geodesics of a pseudo-Riemannian\nmanifold. This allows for the immediate generalization of paraxial ray systems\nvia geodesic deviation. The technique has appeared in the literature for the\npast decade and has been used by the author in the development of dynamic ray\ntrace codes. The techniques involved are powerful but abstract and frequently\nunfamiliar in the field of acoustics. This brief paper derives the complete\nparaxial system for the case of acoustics in the presence of an inhomogeneous\nisotopic time independent media described by a sound speed profile c(x,y,z).\nThe derivation is performed for three distinct conformal representations of the\nacoustic metric.\n