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Analyse des franges interférométriques×ABCD Matrix×Optique de Fourier×Calcul de Mueller-Stokes×
DomaineOptiqueOptiqueOptiqueOptique
FamilleProcess / pipelineProcess / pipelineProcess / pipelineProcess / pipeline
Année d'origine1801196618221852
Auteur d'origineThomas Young and Daniel MalusHerwig Kogelnik and Tingye LiJoseph Fourier and Ernst AbbeGeorge Gabriel Stokes and Hans Mueller
TypePattern analysis algorithmRay optics formalismSpectral decomposition methodVector-matrix formalism
Source fondatriceMalacara, D. (Ed.). (2007). Optical Shop Testing (3rd ed.). John Wiley & Sons. link ↗Kogelnik, 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 ↗Stokes, G. G. (1852). On the composition and resolution of streams of polarized light from different sources. Transactions of the Cambridge Philosophical Society, 9, 399-416. link ↗
Aliasfringe pattern analysis, interferometry, phase extractionray transfer matrix, ABCD method, system matrixfrequency-domain optics, wave optics, diffraction theoryMueller matrix method, Stokes parameters, Mueller calculus
Apparentées3333
RésuméInterferogram fringe analysis is a computational methodology for extracting quantitative information from interference fringe patterns recorded in optical systems. Rooted in Thomas Young's 1801 double-slit experiment and formalized in 20th-century metrology, this approach interprets the spatial patterns of constructive and destructive interference to measure surface topography, optical aberrations, refractive-index distributions, and other optical properties with high precision.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.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.Mueller-Stokes calculus is a mathematical framework for describing and analyzing the polarization properties of light, including partially polarized and unpolarized light. Grounded in George Gabriel Stokes' 1852 work on polarization parameters and extended by Hans Mueller in 1948, this formalism uses the four-component Stokes vector and the 4×4 Mueller matrix to track how optical systems transform polarization states.
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ScholarGateComparer des méthodes: Interferogram Fringe Analysis · ABCD Matrix · Fourier Optics · Mueller-Stokes Calculus. Consulté le 2026-06-19 sur https://scholargate.app/fr/compare