Linganisha mbinu

	Njia ya Uenezaji wa Mfumo (Beam Propagation Method - BPM)	Mofolojia ya Fourier	Hesabu ya Jones
Nyanja	Optiki	Optiki	Optiki
Familia	Process / pipeline	Process / pipeline	Process / pipeline
Mwaka wa asili	1978	1822	1941
Mwanzilishi	Michael Feit and John Fleck	Joseph Fourier and Ernst Abbe	Robert Clark Jones
Aina	Paraxial propagation algorithm	Spectral decomposition method	Vector-matrix formalism
Chanzo asilia	Feit, M. D., & Fleck, J. A. (1978). Light propagation in graded-index optical fibers. Applied Optics, 17(24), 3990-3998.	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.
Majina mbadala	BPM, paraxial approximation method	frequency-domain optics, wave optics, diffraction theory	Jones vector method, Jones matrix, polarization calculus
Zinazohusiana	3	3	3
Muhtasari	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.	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.