A Monte-Carlo Based Numerical Integration Method for Diffraction Computation in Ray Tracing
Han Na, Mehmet Mert Taygur, Thomas F. Eibert
Abstract
Han Na, Mehmet Mert Taygur, Thomas F. Eibert
Abstract
The computation of diffraction has been always a challenge in ray tracing simulations. Despite the popularity of the ray based methods such as geometrical theory of diffraction (GTD) and uniform theory of diffraction (UTD), their computational complexity grows rapidly as the number of cascaded diffraction phenomena increases. Though an efficient physical optics (PO) based bidirectional method has been introduced as an alternative, it still relies on GTD/UTD for multiple diffractions. In this work, a novel Huygens’ principle based ray tracing method with an improved numerical integration technique is introduced. This method is expected to have lower computational cost and better numerical stability than GTD/UTD for multiple diffraction scenarios.
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The computation of diffraction has been always a challenge in ray tracing simulations. Despite the popularity of the ray based methods such as geometrical theory of diffraction (GTD) and uniform theory of diffraction (UTD), their computational complexity grows rapidly as the number of cascaded diffraction phenomena increases. Though an efficient physical optics (PO) based bidirectional method has been introduced as an alternative, it still relies on GTD/UTD for multiple diffractions. In this work, a novel Huygens’ principle based ray tracing method with an improved numerical integration technique is introduced. This method is expected to have lower computational cost and better numerical stability than GTD/UTD for multiple diffraction scenarios.
Key concepts: Ray tracing (physics), Diffraction, Uniform theory of diffraction, Computation, Distributed ray tracing, Beam tracing, Monte Carlo method, Computer science