3/29/2024 0 Comments Sound diffraction equationThe full paper is available to download below. Multiple diffraction (level difference): case (c) and (d).The deviated errors between the two methods for the above four cases are shown below: The simplified method is validated by comparing results with the Pierce solution. The equations for single, d ouble and multiple diffractions are shown below. Insertion loss based on the simplified method The cases studies include single, double, and two multiple diffraction scenarios as shown below. The formula can treat both convex and concave edges, where edges may or may not be inter-connected. Compared with the non-simplified diffraction function, most of the receiver positions can reach an acceptable accuracy except the positions close to the boundary line where 3 dB error is expected. A theoretical formula that is based on the geometrical theory of diffraction (GTD) is proposed for computing sound diffraction by multiple wedges, barriers, and polygonal-like shapes. The form of the light diffracted by a grating relies on the structure/orientation of the elements and the number of elements present, but all gratings have intensity maxima at angle m that are given by the following equation: d (Sin i + Sin m) m. The formulation of these functions is based on the simplification of Fresnel integral and their accuracies depend on the relative locations among the source, obstacle and receiver. A diffraction grating is an optical instrument with a continuous pattern. In this paper, a serial simplified diffraction function to approximate single, double and multiple diffractions is presented. However, these solutions depend on very complicated input parameters and usually take more CPU time than engineering approximations. ![]() ![]() Uniform diffraction theory offers very accurate solutions for sound diffraction over obstacles. Accurate and efficient calculations of diffraction over rigid obstacles are very useful for sound propagating over city canyons and for situations where fast evaluations are required, such as for virtual reality sound effects or for the sound effect in video games.
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