Publication

Spatially-Multiplexed Solitons in Optical Microresonators

Tobias Kippenberg, Maxim Karpov, Erwan Guillaume Albert Lucas, Arslan Sajid Raja
2018
Conference Papers

Abstract

We simultaneously create stable solitons in up to three distinct mode families of a single crystalline MgF2 microresonator. The resulting Kerr combs are mutually coherent and have distinct repetition rates and are thus well suited for dual-comb applications.

Official source

https://infoscience.epfl.ch/entities/publication/4b42844f-d3e0-462a-a162-a6ba520132fa

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Tobias Kippenberg, Maxim Karpov, Erwan Guillaume Albert Lucas, Arslan Sajid Raja
2018
Conference Papers

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/4b42844f-d3e0-462a-a162-a6ba520132fa

About this result

Related concepts (8)

Fourier analysis

In mathematics, Fourier analysis (ˈfʊrieɪ,_-iər) is the study of the way general functions may be represented or approximated by sums of simpler trigonometric functions. Fourier analysis grew from the study of Fourier series, and is named after Joseph Fourier, who showed that representing a function as a sum of trigonometric functions greatly simplifies the study of heat transfer. The subject of Fourier analysis encompasses a vast spectrum of mathematics.

Poisson summation formula

In mathematics, the Poisson summation formula is an equation that relates the Fourier series coefficients of the periodic summation of a function to values of the function's continuous Fourier transform. Consequently, the periodic summation of a function is completely defined by discrete samples of the original function's Fourier transform. And conversely, the periodic summation of a function's Fourier transform is completely defined by discrete samples of the original function.

Distribution (mathematics)

Distributions, also known as Schwartz distributions or generalized functions, are objects that generalize the classical notion of functions in mathematical analysis. Distributions make it possible to differentiate functions whose derivatives do not exist in the classical sense. In particular, any locally integrable function has a distributional derivative. Distributions are widely used in the theory of partial differential equations, where it may be easier to establish the existence of distributional solutions (weak solutions) than classical solutions, or where appropriate classical solutions may not exist.

Related publications (1)

Spatially-Multiplexed Solitons in Optical Microresonators

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