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Time-Domain Ray Asymptotic near Singularities - Illustration for a Caustic Cusp

Anton A. Duchkov, S. V. Goldin

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Abstract

P105 TIME-DOMAIN RAY ASYMPTOTIC NEAR SINGULARITIES - ILLUSTRATION FOR A CAUSTIC CUSP ANTON A. DUCHKOV and SERGEY V. GOLDIN Abstract 1 We propose an extension of the time-domain ray method that remains valid near caustics. It does not require complex ray tracing in the caustic shadow but needs higher travel-time derivatives to be calculated along the ray (this can be done by solving differential equations similar to dynamic ray-tracing system). Introduction Geometrical ray tracing combined with asymptotic methods for estimating the wave amplitudes along the rays is widely used in seismic studies. With the development of computers numerical methods become

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P105 TIME-DOMAIN RAY ASYMPTOTIC NEAR SINGULARITIES - ILLUSTRATION FOR A CAUSTIC CUSP ANTON A. DUCHKOV and SERGEY V. GOLDIN Abstract 1 We propose an extension of the time-domain ray method that remains valid near caustics. It does not require complex ray tracing in the caustic shadow but needs higher travel-time derivatives to be calculated along the ray (this can be done by solving differential equations similar to dynamic ray-tracing system). Introduction Geometrical ray tracing combined with asymptotic methods for estimating the wave amplitudes along the rays is widely used in seismic studies. With the development of computers numerical methods become

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Available abstract

P105 TIME-DOMAIN RAY ASYMPTOTIC NEAR SINGULARITIES - ILLUSTRATION FOR A CAUSTIC CUSP ANTON A. DUCHKOV and SERGEY V. GOLDIN Abstract 1 We propose an extension of the time-domain ray method that remains valid near caustics. It does not require complex ray tracing in the caustic shadow but needs higher travel-time derivatives to be calculated along the ray (this can be done by solving differential equations similar to dynamic ray-tracing system). Introduction Geometrical ray tracing combined with asymptotic methods for estimating the wave amplitudes along the rays is widely used in seismic studies. With the development of computers numerical methods become

Key concepts: Caustic (mathematics), Ray tracing (physics), Gravitational singularity, Cusp (singularity), Domain (mathematical analysis), Beam tracing, Tracing, Geometrical optics

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