手法を比較

	フーリエ光学	ジョーンズ計算
分野	光学	光学
系統	Process / pipeline	Process / pipeline
提唱年	1822	1941
提唱者	Joseph Fourier and Ernst Abbe	Robert Clark Jones
種類	Spectral decomposition method	Vector-matrix formalism
原典	Goodman, J. W. (1968). Introduction to Fourier Optics. McGraw-Hill.	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.
別名	frequency-domain optics, wave optics, diffraction theory	Jones vector method, Jones matrix, polarization calculus
関連	3	3
概要	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.	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.