%0 Journal Article %1 popmintchev2020theory %A Popmintchev, Dimitar %A Wang, Siyang %A Zhang, Xiaoshi %A Popmintchev, Tenio %D 2020 %K optics %T Theory of the Chromatic Dispersion, Revisited %U http://arxiv.org/abs/2011.00066 %X 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.

@article{popmintchev2020theory, 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.}, added-at = {2020-11-04T13:59:58.000+0100}, author = {Popmintchev, Dimitar and Wang, Siyang and Zhang, Xiaoshi and Popmintchev, Tenio}, biburl = {https://www.bibsonomy.org/bibtex/2c9812bf3fd63262bad9b6735e20a6d03/popmintchev}, description = {Theory of the Chromatic Dispersion, Revisited}, interhash = {9ca417152be30209e25face150fb34e0}, intrahash = {c9812bf3fd63262bad9b6735e20a6d03}, keywords = {optics}, note = {cite arxiv:2011.00066}, timestamp = {2020-11-04T13:59:58.000+0100}, title = {Theory of the Chromatic Dispersion, Revisited}, url = {http://arxiv.org/abs/2011.00066}, year = 2020 }