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ABCD-matricen×Fourieroptik×
FagområdeOptikOptik
FamilieProcess / pipelineProcess / pipeline
Oprindelsesår19661822
OphavspersonHerwig Kogelnik and Tingye LiJoseph Fourier and Ernst Abbe
TypeRay optics formalismSpectral decomposition method
Oprindelig kildeKogelnik, H., & Li, T. (1966). Laser beams and resonators. Applied Optics, 5(10), 1550-1567. DOI ↗Goodman, J. W. (1968). Introduction to Fourier Optics. McGraw-Hill. link ↗
Aliasserray transfer matrix, ABCD method, system matrixfrequency-domain optics, wave optics, diffraction theory
Relaterede33
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.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 · Fourier Optics. Hentet 2026-06-17 fra https://scholargate.app/da/compare