Potentials with partly constant free spectral range and their application to SNAP microresonators

Misha Sumetsky

doi:10.1364/OL.567447

Potentials with partly constant free spectral range and their application to SNAP microresonators

Misha Sumetsky^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

Propagation of whispering gallery modes in Surface Nanoscale Axial Photonics (SNAP) microresonators, fabricated at the optical fiber surface, is commonly described by a one-dimensional wave equation, resembling the Schrödinger equation, where the fiber cutoff frequency (CF) varying along the fiber length plays the role of potential and the light frequency plays the role of energy. Of particular importance for applications including frequency comb generation, frequency conversion, and signal processing are SNAP microresonators with constant free spectrum range (FSR). Here we note that, in addition to CF potentials with a globally constant FSR, the potentials having constant FSR confined within a specific spectral region may be sufficient or, in certain cases, preferable for a range of applications. We describe such potentials in semiclassical approximation and analyze their properties considering representative examples.

Original language	English
Pages (from-to)	5129-5132
Number of pages	4
Journal	Optics Letters
Volume	50
Issue number	16
Early online date	14 Aug 2025
DOIs	https://doi.org/10.1364/OL.567447
Publication status	Published - 15 Aug 2025

Bibliographical note

Copyright © 2025 Optica Publishing Group. All rights, including for text and data mining (TDM), Artificial Intelligence (AI) training, and similar technologies, are reserved. This paper was published in Optics Letters and is made available as an electronic reprint with the permission of OSA. The paper can be found at the following URL on the OSA website: https://opg.optica.org/ol/fulltext.cfm?uri=ol-50-16-5129&id=575663. Systematic or multiple reproduction or distribution to multiple locations via electronic or other means is prohibited and is subject to penalties under law.

Data Access Statement

Data underlying the results presented in this paper may be obtained from the corresponding author upon reasonable request.

Funding

Engineering and Physical Sciences Research Council (EP/W002868/1, EP/X03772X/1); Leverhulme Trust (RPG-2022-014).

Access to Document

10.1364/OL.567447

Cite this

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title = "Potentials with partly constant free spectral range and their application to SNAP microresonators",

abstract = "Propagation of whispering gallery modes in Surface Nanoscale Axial Photonics (SNAP) microresonators, fabricated at the optical fiber surface, is commonly described by a one-dimensional wave equation, resembling the Schr{\"o}dinger equation, where the fiber cutoff frequency (CF) varying along the fiber length plays the role of potential and the light frequency plays the role of energy. Of particular importance for applications including frequency comb generation, frequency conversion, and signal processing are SNAP microresonators with constant free spectrum range (FSR). Here we note that, in addition to CF potentials with a globally constant FSR, the potentials having constant FSR confined within a specific spectral region may be sufficient or, in certain cases, preferable for a range of applications. We describe such potentials in semiclassical approximation and analyze their properties considering representative examples.",

author = "Misha Sumetsky",

note = "Copyright {\textcopyright} 2025 Optica Publishing Group. All rights, including for text and data mining (TDM), Artificial Intelligence (AI) training, and similar technologies, are reserved. This paper was published in Optics Letters and is made available as an electronic reprint with the permission of OSA. The paper can be found at the following URL on the OSA website: https://opg.optica.org/ol/fulltext.cfm?uri=ol-50-16-5129\&id=575663. Systematic or multiple reproduction or distribution to multiple locations via electronic or other means is prohibited and is subject to penalties under law. ",

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N2 - Propagation of whispering gallery modes in Surface Nanoscale Axial Photonics (SNAP) microresonators, fabricated at the optical fiber surface, is commonly described by a one-dimensional wave equation, resembling the Schrödinger equation, where the fiber cutoff frequency (CF) varying along the fiber length plays the role of potential and the light frequency plays the role of energy. Of particular importance for applications including frequency comb generation, frequency conversion, and signal processing are SNAP microresonators with constant free spectrum range (FSR). Here we note that, in addition to CF potentials with a globally constant FSR, the potentials having constant FSR confined within a specific spectral region may be sufficient or, in certain cases, preferable for a range of applications. We describe such potentials in semiclassical approximation and analyze their properties considering representative examples.

AB - Propagation of whispering gallery modes in Surface Nanoscale Axial Photonics (SNAP) microresonators, fabricated at the optical fiber surface, is commonly described by a one-dimensional wave equation, resembling the Schrödinger equation, where the fiber cutoff frequency (CF) varying along the fiber length plays the role of potential and the light frequency plays the role of energy. Of particular importance for applications including frequency comb generation, frequency conversion, and signal processing are SNAP microresonators with constant free spectrum range (FSR). Here we note that, in addition to CF potentials with a globally constant FSR, the potentials having constant FSR confined within a specific spectral region may be sufficient or, in certain cases, preferable for a range of applications. We describe such potentials in semiclassical approximation and analyze their properties considering representative examples.

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Potentials with partly constant free spectral range and their application to SNAP microresonators

Abstract

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