手法を比較

	有限差分時間領域法	フーリエ光学	厳密結合波解析
分野	光学	光学	光学
系統	Process / pipeline	Process / pipeline	Process / pipeline
提唱年	1966	1822	1981
提唱者	Kane Yee	Joseph Fourier and Ernst Abbe	M. G. Moharam and T. K. Gaylord
種類	Finite-difference algorithm	Spectral decomposition method	Diffraction algorithm
原典	Yee, K. S. (1966). Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media. IEEE Transactions on Antennas and Propagation, 14(3), 302-307.	Goodman, J. W. (1968). Introduction to Fourier Optics. McGraw-Hill.	Moharam, M. G., & Gaylord, T. K. (1981). Rigorous coupled-wave analysis of planar-grating diffraction. Journal of the Optical Society of America, 71(7), 811-818.
別名	FDTD, Yee scheme	frequency-domain optics, wave optics, diffraction theory	RCWA method, coupled-wave method, diffraction grating analysis
関連	3	3	3
概要	The Finite-Difference Time-Domain method is a computational technique for solving Maxwell's equations by discretizing space and time on a grid. Introduced by Kane Yee in 1966, FDTD is a foundational approach in computational electrodynamics and optical simulation, enabling direct modeling of electromagnetic wave propagation through complex media.	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.	Rigorous Coupled-Wave Analysis is a semi-analytical computational method for solving Maxwell's equations in periodic structures such as diffraction gratings and photonic crystals. Developed by Moharam and Gaylord in 1981, RCWA expands the electromagnetic fields in each periodic region into Fourier series and couples the fields at interfaces, enabling accurate and efficient simulation of light diffraction, resonances, and wave propagation in structured media.