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Метод на разпространение на лъча×Матрица ABCD×
ОбластОптикаОптика
СемействоProcess / pipelineProcess / pipeline
Година на възникване19781966
СъздателMichael Feit and John FleckHerwig Kogelnik and Tingye Li
ТипParaxial propagation algorithmRay optics formalism
Основополагащ източникFeit, M. D., & Fleck, J. A. (1978). Light propagation in graded-index optical fibers. Applied Optics, 17(24), 3990-3998. DOI ↗Kogelnik, H., & Li, T. (1966). Laser beams and resonators. Applied Optics, 5(10), 1550-1567. DOI ↗
Други названияBPM, paraxial approximation methodray transfer matrix, ABCD method, system matrix
Свързани33
РезюмеThe 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.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.
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  2. 3 Източници
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  3. PUBLISHED

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ScholarGateСравнение на методи: Beam Propagation Method · ABCD Matrix. Извлечено на 2026-06-17 от https://scholargate.app/bg/compare