قارن الطرق

	مصفوفة ABCD	طريقة انتشار الحزمة	حساب جونز
المجال	علم البصريات	علم البصريات	علم البصريات
العائلة	Process / pipeline	Process / pipeline	Process / pipeline
سنة النشأة	1966	1978	1941
صاحب الطريقة	Herwig Kogelnik and Tingye Li	Michael Feit and John Fleck	Robert Clark Jones
النوع	Ray optics formalism	Paraxial propagation algorithm	Vector-matrix formalism
المصدر التأسيسي	Kogelnik, H., & Li, T. (1966). Laser beams and resonators. Applied Optics, 5(10), 1550-1567.	Feit, M. D., & Fleck, J. A. (1978). Light propagation in graded-index optical fibers. Applied Optics, 17(24), 3990-3998.	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.
الأسماء البديلة	ray transfer matrix, ABCD method, system matrix	BPM, paraxial approximation method	Jones vector method, Jones matrix, polarization calculus
ذات صلة	3	3	3
الملخص	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.	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.	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.