Symplectic ray tracing: a new approach to nonlinear ray tracing by using Hamiltonian dynamics

Tetsu R. Satoh

doi:10.1117/12.473932

9 June 2003 Symplectic ray-tracing: a new approach for nonlinear ray tracings by Hamiltonian dynamics

Tetsu R. Satoh

Proceedings Volume 5009, Visualization and Data Analysis 2003; (2003) https://doi.org/10.1117/12.473932
Event: Electronic Imaging 2003, 2003, Santa Clara, CA, United States

Abstract

This paper describes a method of symplectic ray tracing for calculating the flows of non-linear dynamical systems. Symplectic ray tracing method traces the path of photons moving along the orbit calculated by using Hamilton's canonical equation. Using this method, we can simulate non-linear dynamical systems with various dimensions, accurate calculation, and quick implementation of scientif visualization system. This paper also demonstrates some visualization results of non-linear dynamical systems computed by using symplectic ray tracing method.

Citation Download Citation

Tetsu R. Satoh "Symplectic ray-tracing: a new approach for nonlinear ray tracings by Hamiltonian dynamics", Proc. SPIE 5009, Visualization and Data Analysis 2003, (9 June 2003); https://doi.org/10.1117/12.473932

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