Linganisha mbinu

	Uchambuzi wa Fringi za Interferogram	Matriki ya ABCD	Mofolojia ya Fourier
Nyanja	Optiki	Optiki	Optiki
Familia	Process / pipeline	Process / pipeline	Process / pipeline
Mwaka wa asili	1801	1966	1822
Mwanzilishi	Thomas Young and Daniel Malus	Herwig Kogelnik and Tingye Li	Joseph Fourier and Ernst Abbe
Aina	Pattern analysis algorithm	Ray optics formalism	Spectral decomposition method
Chanzo asilia	Malacara, D. (Ed.). (2007). Optical Shop Testing (3rd ed.). John Wiley & Sons.	Kogelnik, H., & Li, T. (1966). Laser beams and resonators. Applied Optics, 5(10), 1550-1567.	Goodman, J. W. (1968). Introduction to Fourier Optics. McGraw-Hill.
Majina mbadala	fringe pattern analysis, interferometry, phase extraction	ray transfer matrix, ABCD method, system matrix	frequency-domain optics, wave optics, diffraction theory
Zinazohusiana	3	3	3
Muhtasari	Interferogram fringe analysis is a computational methodology for extracting quantitative information from interference fringe patterns recorded in optical systems. Rooted in Thomas Young's 1801 double-slit experiment and formalized in 20th-century metrology, this approach interprets the spatial patterns of constructive and destructive interference to measure surface topography, optical aberrations, refractive-index distributions, and other optical properties with high precision.	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.	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.