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Jonesi kalkulus×ABCD maatriks×Mueller-Stokesi kalkulus×
ValdkondOptikaOptikaOptika
PerekondProcess / pipelineProcess / pipelineProcess / pipeline
Tekkeaasta194119661852
LoojaRobert Clark JonesHerwig Kogelnik and Tingye LiGeorge Gabriel Stokes and Hans Mueller
TüüpVector-matrix formalismRay optics formalismVector-matrix formalism
AlgallikasJones, 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 ↗Kogelnik, H., & Li, T. (1966). Laser beams and resonators. Applied Optics, 5(10), 1550-1567. DOI ↗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 ↗
RööpnimetusedJones vector method, Jones matrix, polarization calculusray transfer matrix, ABCD method, system matrixMueller matrix method, Stokes parameters, Mueller calculus
Seotud333
KokkuvõteJones 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.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.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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ScholarGateVõrdle meetodeid: Jones Calculus · ABCD Matrix · Mueller-Stokes Calculus. Loetud 2026-06-19 aadressilt https://scholargate.app/et/compare