Linganisha mbinu

	Uchambuzi wa Mawimbi Uliounganishwa kwa Ukali	Njia ya Uenezaji wa Mfumo (Beam Propagation Method - BPM)	Mofolojia ya Fourier
Nyanja	Optiki	Optiki	Optiki
Familia	Process / pipeline	Process / pipeline	Process / pipeline
Mwaka wa asili	1981	1978	1822
Mwanzilishi	M. G. Moharam and T. K. Gaylord	Michael Feit and John Fleck	Joseph Fourier and Ernst Abbe
Aina	Diffraction algorithm	Paraxial propagation algorithm	Spectral decomposition method
Chanzo asilia	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.	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.
Majina mbadala	RCWA method, coupled-wave method, diffraction grating analysis	BPM, paraxial approximation method	frequency-domain optics, wave optics, diffraction theory
Zinazohusiana	3	3	3
Muhtasari	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.	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.