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फाइनाइट-डिफरेंस टाइम-डोमेन×बीम प्रोपेगेशन मेथड (Beam Propagation Method)×फूरियर प्रकाशिकी×
क्षेत्रप्रकाशिकीप्रकाशिकीप्रकाशिकी
परिवारProcess / pipelineProcess / pipelineProcess / pipeline
उद्भव वर्ष196619781822
प्रवर्तकKane YeeMichael Feit and John FleckJoseph Fourier and Ernst Abbe
प्रकारFinite-difference algorithmParaxial propagation algorithmSpectral decomposition method
मौलिक स्रोतYee, K. S. (1966). Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media. IEEE Transactions on Antennas and Propagation, 14(3), 302-307. DOI ↗Feit, M. D., & Fleck, J. A. (1978). Light propagation in graded-index optical fibers. Applied Optics, 17(24), 3990-3998. DOI ↗Goodman, J. W. (1968). Introduction to Fourier Optics. McGraw-Hill. link ↗
उपनामFDTD, Yee schemeBPM, paraxial approximation methodfrequency-domain optics, wave optics, diffraction theory
संबंधित333
सारांशThe Finite-Difference Time-Domain method is a computational technique for solving Maxwell's equations by discretizing space and time on a grid. Introduced by Kane Yee in 1966, FDTD is a foundational approach in computational electrodynamics and optical simulation, enabling direct modeling of electromagnetic wave propagation through complex 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.
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