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| ABCD-Matrix× | Müller-Stokes-Kalkül× | |
|---|---|---|
| Fachgebiet | Optik | Optik |
| Familie | Process / pipeline | Process / pipeline |
| Entstehungsjahr≠ | 1966 | 1852 |
| Urheber≠ | Herwig Kogelnik and Tingye Li | George Gabriel Stokes and Hans Mueller |
| Typ≠ | Ray optics formalism | Vector-matrix formalism |
| Wegweisende Quelle≠ | Kogelnik, H., & Li, T. (1966). Laser beams and resonators. Applied Optics, 5(10), 1550-1567. DOI ↗ | Stokes, G. G. (1852). On the composition and resolution of streams of polarized light from different sources. Transactions of the Cambridge Philosophical Society, 9, 399-416. link ↗ |
| Aliasnamen | ray transfer matrix, ABCD method, system matrix | Mueller matrix method, Stokes parameters, Mueller calculus |
| Verwandt | 3 | 3 |
| Zusammenfassung≠ | 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. | Mueller-Stokes calculus is a mathematical framework for describing and analyzing the polarization properties of light, including partially polarized and unpolarized light. Grounded in George Gabriel Stokes' 1852 work on polarization parameters and extended by Hans Mueller in 1948, this formalism uses the four-component Stokes vector and the 4×4 Mueller matrix to track how optical systems transform polarization states. |
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