مقایسهٔ روش‌ها

	روش انتشار پرتو	ماتریس ABCD
حوزه	اپتیک	اپتیک
خانواده	Process / pipeline	Process / pipeline
سال پیدایش	1978	1966
پدیدآور	Michael Feit and John Fleck	Herwig Kogelnik and Tingye Li
نوع	Paraxial propagation algorithm	Ray optics formalism
منبع بنیادین	Feit, M. D., & Fleck, J. A. (1978). Light propagation in graded-index optical fibers. Applied Optics, 17(24), 3990-3998.	Kogelnik, H., & Li, T. (1966). Laser beams and resonators. Applied Optics, 5(10), 1550-1567.
نام‌های دیگر	BPM, paraxial approximation method	ray transfer matrix, ABCD method, system matrix
مرتبط	3	3
خلاصه	The Beam Propagation Method is a computational technique for simulating the propagation of optical beams through slowly varying, weakly guiding structures. Developed by Feit and Fleck in 1978, BPM exploits the paraxial approximation to reduce the full vector wave equation to a scalar or vector envelope equation, enabling efficient simulation of waveguides, integrated optics, and photonic devices.	The ABCD matrix, or ray transfer matrix method, is a compact algebraic framework for analyzing optical systems. Introduced by Kogelnik and Li in 1966, it represents the linear transformation of ray position and angle (or Gaussian beam parameters) through optical elements. This method is foundational in laser physics, Gaussian optics, and optical design, enabling rapid calculation of resonator stability, beam propagation, and system performance.