قارن الطرق

	معادلة السونار	تتبع الأشعة الصوتية
المجال	علم الصوتيات	علم الصوتيات
العائلة	Process / pipeline	Process / pipeline
سنة النشأة	1983	1979
صاحب الطريقة	Robert Urick	James Allen, David Berkley
النوع	Underwater acoustic detection framework	Computational room acoustics method
المصدر التأسيسي	Urick, R. J. (1983). Principles of Underwater Sound (3rd ed.). McGraw-Hill. ISBN: 978-0070660816	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.
الأسماء البديلة	active sonar equation, passive sonar equation, underwater detection, acoustic range equation	ray tracing, geometric acoustics, image source method, sound ray propagation
ذات صلة	5	5
الملخص	The sonar equation is a fundamental framework for predicting the detection range and performance of active and passive sonar systems in underwater environments. Systematized by Robert Urick in his seminal 1983 work, the sonar equation quantifies the acoustic signal-to-noise ratio (SNR) needed for detection, accounting for source level, propagation loss, noise characteristics, and receiver sensitivity. It is the cornerstone of underwater acoustic system design, naval detection systems, marine research, and subsea communication.	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.