Vertaile menetelmiä

	Mueller-Stokes-analyysi	Fourier-optiikka	Interferogrammisuomujen analyysi	Jonesin kalkyyli
Tieteenala	Optiikka	Optiikka	Optiikka	Optiikka
Menetelmäperhe	Process / pipeline	Process / pipeline	Process / pipeline	Process / pipeline
Syntyvuosi	1852	1822	1801	1941
Kehittäjä	George Gabriel Stokes and Hans Mueller	Joseph Fourier and Ernst Abbe	Thomas Young and Daniel Malus	Robert Clark Jones
Tyyppi	Vector-matrix formalism	Spectral decomposition method	Pattern analysis algorithm	Vector-matrix formalism
Alkuperäislähde	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.	Goodman, J. W. (1968). Introduction to Fourier Optics. McGraw-Hill.	Malacara, D. (Ed.). (2007). Optical Shop Testing (3rd ed.). John Wiley & Sons.	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.
Rinnakkaisnimet	Mueller matrix method, Stokes parameters, Mueller calculus	frequency-domain optics, wave optics, diffraction theory	fringe pattern analysis, interferometry, phase extraction	Jones vector method, Jones matrix, polarization calculus
Liittyvät	3	3	3	3
Tiivistelmä	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.	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.