The

ray tracing program

Orlando Camargo Rodríguez

(http://w3.ualg.pt/~orodrig, orodrig@ualg.pt)

Physics Department

Signal Processing Laboratory

Faculdade de Ciências e Tecnologia

Universidade do Algarve

10/01/2011

ray tracing program

Orlando Camargo Rodríguez

(http://w3.ualg.pt/~orodrig, orodrig@ualg.pt)

Physics Department

Signal Processing Laboratory

Faculdade de Ciências e Tecnologia

Universidade do Algarve

10/01/2011

- Contents
- Introduction
- Ray tracing theory
- The acoustic wave equation
- Solving the Eikonal equation
- Solving the transport equation
- Transmission loss
- Particle velocity

- Gaussian beams
- The Gaussian beam approximation
- Initial conditions on and
- Reduction to the 2.5D case
- Reduction to the 2D case

- Attenuation

- Numerical issues
- Geometric beams
- Updating and after reflections
- Solving the Eikonal equations
- Solving the dynamic equations
- Calculation of derivatives
- Calculation of normals
- Refraction correction
- Ray reflection at a boundary
- Orientation of boundary normals
- Ray-boundary intersection
- Calculation of particle velocity
- Eigenray search
- Calculation of amplitudes and arrivals

- Model description

- Examples and comparisons

- Conclusions and future work
- Additional topics
- Vector form of Eikonal equations
- Eikonal equations including wavenumber
- Wavenumber 2D Eikonal equations
- Ray slope 2D Eikonal equations
- Earth 2D Eikonal equations
- Including ocean currents
- Hamiltonian formalism

- Bibliography
- About this document ...

Orlando Camargo Rodríguez 2012-06-21