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ABCD Matrix/Evidence
Method evidence record

ABCD Matrix

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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Source record

Citations copied verbatim from the method’s source record. No claim-level verification is inferred from them.

ABCD Matrix Method
Taxonomic method record · process-pipeline / optics
  • Kogelnik, H., & Li, T. (1966). Laser beams and resonators. Applied Optics, 5(10), 1550-1567. · DOI 10.1364/AO.5.001550
  • Siegman, A. E. (1986). Lasers. University Science Books. · URL
  • Gerrard, A., & Burch, J. M. (1974). Introduction to Matrix Methods in Optics. John Wiley & Sons. · URL
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Related methods

Generated from the method graph and shown as machine-suggested relations — no evidence claim is inferred.

Same method familyBeam Propagation Methodmachine-suggested · Relational suggestion, not evidence.Same method familyFourier Opticsmachine-suggested · Relational suggestion, not evidence.Same method familyJones Calculusmachine-suggested · Relational suggestion, not evidence.

Evidence status

Sources recorded, not reviewed

Bibliographic sources are present. Claim-level evidence review has not been performed.

Sources

3 recorded citations, copied from the method source record.

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