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ABCD-matricen×Finite-Difference Time-Domain×Fourieroptik×
FagområdeOptikOptikOptik
FamilieProcess / pipelineProcess / pipelineProcess / pipeline
Oprindelsesår196619661822
OphavspersonHerwig Kogelnik and Tingye LiKane YeeJoseph Fourier and Ernst Abbe
TypeRay optics formalismFinite-difference algorithmSpectral decomposition method
Oprindelig kildeKogelnik, H., & Li, T. (1966). Laser beams and resonators. Applied Optics, 5(10), 1550-1567. DOI ↗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. DOI ↗Goodman, J. W. (1968). Introduction to Fourier Optics. McGraw-Hill. link ↗
Aliasserray transfer matrix, ABCD method, system matrixFDTD, Yee schemefrequency-domain optics, wave optics, diffraction theory
Relaterede333
ResuméThe 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 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.
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ScholarGateSammenlign metoder: ABCD Matrix · Finite-Difference Time-Domain · Fourier Optics. Hentet 2026-06-18 fra https://scholargate.app/da/compare