So sánh phương pháp

	Phương pháp Lan truyền Chùm (Beam Propagation Method - BPM)	Finite-Difference Time-Domain	Quang học Fourier
Lĩnh vực	Quang học	Quang học	Quang học
Họ	Process / pipeline	Process / pipeline	Process / pipeline
Năm ra đời	1978	1966	1822
Người khởi xướng	Michael Feit and John Fleck	Kane Yee	Joseph Fourier and Ernst Abbe
Loại	Paraxial propagation algorithm	Finite-difference algorithm	Spectral decomposition method
Công trình gốc	Feit, M. D., & Fleck, J. A. (1978). Light propagation in graded-index optical fibers. Applied Optics, 17(24), 3990-3998.	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.	Goodman, J. W. (1968). Introduction to Fourier Optics. McGraw-Hill.
Tên gọi khác	BPM, paraxial approximation method	FDTD, Yee scheme	frequency-domain optics, wave optics, diffraction theory
Liên quan	3	3	3
Tóm tắt	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 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.	Fourier optics is a mathematical framework that analyzes optical systems and phenomena using Fourier transforms and frequency-domain methods. Grounded in Joseph Fourier's 1822 work on heat diffusion and Ernst Abbe's microscopy theory, this approach decomposes optical fields into plane waves or spatial frequencies, revealing how optical systems manipulate and filter these components to produce images and transmit information.