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Müller-Stokes-Kalkül×Fourier-Optik×Interferogramm-Streifenanalyse×Jones-Kalkül×
FachgebietOptikOptikOptikOptik
FamilieProcess / pipelineProcess / pipelineProcess / pipelineProcess / pipeline
Entstehungsjahr1852182218011941
UrheberGeorge Gabriel Stokes and Hans MuellerJoseph Fourier and Ernst AbbeThomas Young and Daniel MalusRobert Clark Jones
TypVector-matrix formalismSpectral decomposition methodPattern analysis algorithmVector-matrix formalism
Wegweisende QuelleStokes, 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 ↗Goodman, J. W. (1968). Introduction to Fourier Optics. McGraw-Hill. link ↗Malacara, D. (Ed.). (2007). Optical Shop Testing (3rd ed.). John Wiley & Sons. link ↗Jones, R. C. (1941). A new calculus for the treatment of optical systems: I. Description and discussion of the calculus. Journal of the Optical Society of America, 31(7), 488-493. DOI ↗
AliasnamenMueller matrix method, Stokes parameters, Mueller calculusfrequency-domain optics, wave optics, diffraction theoryfringe pattern analysis, interferometry, phase extractionJones vector method, Jones matrix, polarization calculus
Verwandt3333
ZusammenfassungMueller-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.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.Interferogram 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.Jones calculus is a mathematical formalism for analyzing the propagation and manipulation of polarized light using vectors and matrices. Developed by Robert Clark Jones in 1941, it represents the electric field of a coherent optical beam as a two-component complex vector (Jones vector) and optical elements as matrices (Jones matrices), enabling elegant tracking of polarization through optical systems.
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ScholarGateMethoden vergleichen: Mueller-Stokes Calculus · Fourier Optics · Interferogram Fringe Analysis · Jones Calculus. Abgerufen am 2026-06-19 von https://scholargate.app/de/compare