手法を比較

	ビーム伝搬法	ジョーンズ計算
分野	光学	光学
系統	Process / pipeline	Process / pipeline
提唱年	1978	1941
提唱者	Michael Feit and John Fleck	Robert Clark Jones
種類	Paraxial propagation algorithm	Vector-matrix formalism
原典	Feit, M. D., & Fleck, J. A. (1978). Light propagation in graded-index optical fibers. Applied Optics, 17(24), 3990-3998.	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	BPM, paraxial approximation method	Jones vector method, Jones matrix, polarization calculus
関連	3	3
概要	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.	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.