مقایسهٔ روش‌ها

	ردیابی پرتو صوتی	روش المان مرزی (BEM)
حوزه	صوت‌شناسی	صوت‌شناسی
خانواده	Process / pipeline	Process / pipeline
سال پیدایش	1979	1971
پدیدآور	James Allen, David Berkley	Carlos Brebbia, Robert Butterfield
نوع	Computational room acoustics method	Computational simulation for acoustics
منبع بنیادین	Allen, J. B., & Berkley, D. A. (1979). Image method for efficiently simulating small-room acoustics. Journal of the Acoustical Society of America, 65(4), 943–950.	Burton, A. J., & Miller, G. F. (1971). The application of integral equation methods to the numerical solution of some exterior boundary-value problems. Proceedings of the Royal Society A, 323(1553), 201–210.
نام‌های دیگر	ray tracing, geometric acoustics, image source method, sound ray propagation	BEM, boundary element method, indirect BEM, direct BEM
مرتبط	5	5
خلاصه	Acoustic ray tracing is a computational technique for predicting sound propagation in rooms by treating acoustic energy as rays that reflect specularly off surfaces. Formalized by Allen and Berkley in 1979 via the image source method, ray tracing is one of the most computationally efficient methods for room acoustic simulation, especially for early and mid-reflections. It is widely used in audio engineering, architectural acoustics, and interactive spatial audio for virtual environments.	The Boundary Element Method (BEM) is a numerical technique for solving acoustic wave equations in complex geometries. Unlike finite element methods (FEM) that mesh entire volumes, BEM discretizes only the acoustic boundaries (surfaces), reducing computational cost and memory. First applied to acoustics by Burton and Miller in 1971, BEM is widely used for predicting room acoustics, exterior noise radiation, and acoustic scattering without the need for volumetric meshing.