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Link to original content: https://doi.org/10.48550/arxiv.2011.00066
[2011.00066] Theory of the Chromatic Dispersion, Revisited
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Physics > Optics

arXiv:2011.00066 (physics)
[Submitted on 30 Oct 2020]

Title:Theory of the Chromatic Dispersion, Revisited

Authors:Dimitar Popmintchev, Siyang Wang, Xiaoshi Zhang, Tenio Popmintchev
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Abstract:We derive general analytic expressions for the chromatic dispersion orders valid to infinity, due to the k vector or phase {\phi} dependence on the wavelength. Additionally, we identify polynomials and recursion relations associated with the chromatic dispersion orders and draw analogy to the generalized Lah and Laguerre transformations. Further, we give explicitly the dispersion terms to the 10th order and visualize the chromatic dispersion for material, grating and prism-pair compressors and hollow-core photonic anti-resonant fiber. These simple formulas are applicable for material dispersion, compressors, stretchers, waveguides, and any other type of known frequency-dependent phase.
Subjects: Optics (physics.optics); Applied Physics (physics.app-ph); Atomic and Molecular Clusters (physics.atm-clus)
Cite as: arXiv:2011.00066 [physics.optics]
  (or arXiv:2011.00066v1 [physics.optics] for this version)
  https://doi.org/10.48550/arXiv.2011.00066

Submission history

From: Dimitar Popmintchev [view email]
[v1] Fri, 30 Oct 2020 19:19:17 UTC (1,748 KB)
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