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	ABCD行列	ビーム伝搬法
分野	光学	光学
系統	Process / pipeline	Process / pipeline
提唱年	1966	1978
提唱者	Herwig Kogelnik and Tingye Li	Michael Feit and John Fleck
種類	Ray optics formalism	Paraxial propagation algorithm
原典	Kogelnik, H., & Li, T. (1966). Laser beams and resonators. Applied Optics, 5(10), 1550-1567.	Feit, M. D., & Fleck, J. A. (1978). Light propagation in graded-index optical fibers. Applied Optics, 17(24), 3990-3998.
別名	ray transfer matrix, ABCD method, system matrix	BPM, paraxial approximation method
関連	3	3
概要	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.	The Beam Propagation Method is a computational technique for simulating the propagation of optical beams through slowly varying, weakly guiding structures. Developed by Feit and Fleck in 1978, BPM exploits the paraxial approximation to reduce the full vector wave equation to a scalar or vector envelope equation, enabling efficient simulation of waveguides, integrated optics, and photonic devices.