مقایسهٔ روش‌ها

	روش تفاضل محدود در حوزه زمان	ماتریس ABCD	روش انتشار پرتو
حوزه	اپتیک	اپتیک	اپتیک
خانواده	Process / pipeline	Process / pipeline	Process / pipeline
سال پیدایش	1966	1966	1978
پدیدآور	Kane Yee	Herwig Kogelnik and Tingye Li	Michael Feit and John Fleck
نوع	Finite-difference algorithm	Ray optics formalism	Paraxial propagation algorithm
منبع بنیادین	Yee, K. S. (1966). Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media. IEEE Transactions on Antennas and Propagation, 14(3), 302-307.	Kogelnik, H., & Li, T. (1966). Laser beams and resonators. Applied Optics, 5(10), 1550-1567.	Feit, M. D., & Fleck, J. A. (1978). Light propagation in graded-index optical fibers. Applied Optics, 17(24), 3990-3998.
نام‌های دیگر	FDTD, Yee scheme	ray transfer matrix, ABCD method, system matrix	BPM, paraxial approximation method
مرتبط	3	3	3
خلاصه	The Finite-Difference Time-Domain method is a computational technique for solving Maxwell's equations by discretizing space and time on a grid. Introduced by Kane Yee in 1966, FDTD is a foundational approach in computational electrodynamics and optical simulation, enabling direct modeling of electromagnetic wave propagation through complex media.	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.	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.