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ABCD Matrix×Jones Calculus×
분야광학광학
계열Process / pipelineProcess / pipeline
기원 연도19661941
창시자Herwig Kogelnik and Tingye LiRobert Clark Jones
유형Ray optics formalismVector-matrix formalism
원전Kogelnik, H., & Li, T. (1966). Laser beams and resonators. Applied Optics, 5(10), 1550-1567. DOI ↗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 ↗
별칭ray transfer matrix, ABCD method, system matrixJones vector method, Jones matrix, polarization calculus
관련33
요약The 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.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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