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| ABCD-matriisi× | Fourier-optiikka× | |
|---|---|---|
| Tieteenala | Optiikka | Optiikka |
| Menetelmäperhe | Process / pipeline | Process / pipeline |
| Syntyvuosi≠ | 1966 | 1822 |
| Kehittäjä≠ | Herwig Kogelnik and Tingye Li | Joseph Fourier and Ernst Abbe |
| Tyyppi≠ | Ray optics formalism | Spectral decomposition method |
| Alkuperäislähde≠ | Kogelnik, H., & Li, T. (1966). Laser beams and resonators. Applied Optics, 5(10), 1550-1567. DOI ↗ | Goodman, J. W. (1968). Introduction to Fourier Optics. McGraw-Hill. link ↗ |
| Rinnakkaisnimet | ray transfer matrix, ABCD method, system matrix | frequency-domain optics, wave optics, diffraction theory |
| Liittyvät | 3 | 3 |
| Tiivistelmä≠ | 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. | 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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