Σύγκριση μεθόδων

	Χρονικού Τομέα Πεπερασμένων Διαφορών	Μέθοδος Διάδοσης Δέσμης	Οπτική Fourier
Πεδίο	Οπτική	Οπτική	Οπτική
Οικογένεια	Process / pipeline	Process / pipeline	Process / pipeline
Έτος προέλευσης	1966	1978	1822
Δημιουργός	Kane Yee	Michael Feit and John Fleck	Joseph Fourier and Ernst Abbe
Τύπος	Finite-difference algorithm	Paraxial propagation algorithm	Spectral decomposition method
Θεμελιώδης πηγή	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.	Feit, M. D., & Fleck, J. A. (1978). Light propagation in graded-index optical fibers. Applied Optics, 17(24), 3990-3998.	Goodman, J. W. (1968). Introduction to Fourier Optics. McGraw-Hill.
Εναλλακτικές ονομασίες	FDTD, Yee scheme	BPM, paraxial approximation method	frequency-domain optics, wave optics, diffraction theory
Συναφείς	3	3	3
Σύνοψη	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 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.	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.