Heat dynamics in optical ring resonators

We present an analytical model for the dynamical self-heating effect in air-cladded optical microring resonators (ORRs). The spatially and time resolved temperature field is calculated by integrating the corresponding boundary value problem of the heat equation. It turns out that the self-heating am...

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Bibliographic Details
Authors: Dickmann, Walter, Weituschat, Lukas Max, Eisermann, René, Krenek, Stephan, Postigo, Pablo Aitor, Kroker, Stefanie
Format: article
Status:Published version
Publication Date:2021
Country:España
Institution:Consejo Superior de Investigaciones Científicas (CSIC)
Repository:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/381400
Online Access:http://hdl.handle.net/10261/381400
https://api.elsevier.com/content/abstract/scopus_id/85109789422
Access Level:Open access
Keyword:Absorption
Heat equation
Optical ring resonators
Temperature sensing
Thermal modeling
Two-photon absorption
Description
Summary:We present an analytical model for the dynamical self-heating effect in air-cladded optical microring resonators (ORRs). The spatially and time resolved temperature field is calculated by integrating the corresponding boundary value problem of the heat equation. It turns out that the self-heating amplitude is approximately proportional to the total absorbed power and anti-proportional to the thermal conductivity of the cladding material. Further, two-photon absorption plays a major role in the heating process, even for moderate input powers, due to the strong light confinement. Heating times are determined to be in the microsecond range and may limit the response time of ORR devices. The explicit formulas for the temperature fields allow a much faster determination of heating properties compared to elaborate finite element simulations. Thus, our model is predestinated for scanning large parameter spaces.