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ABCD Matrix×푸리에 광학×
분야광학광학
계열Process / pipelineProcess / pipeline
기원 연도19661822
창시자Herwig Kogelnik and Tingye LiJoseph Fourier and Ernst Abbe
유형Ray optics formalismSpectral decomposition method
원전Kogelnik, 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 ↗
별칭ray transfer matrix, ABCD method, system matrixfrequency-domain optics, wave optics, diffraction theory
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.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.
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