University of Twente Student Theses


Modelling circular optical microresonators using whispering gallery modes

Franchimon, Ellen (2010) Modelling circular optical microresonators using whispering gallery modes.

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Abstract:The growth of the Internet during the past years led to an increased demand for capacities in long distance communication. This was partly met by techniques for all optical multiplexing. One of the ways to multiplex optical signals is using a circular optical microresonator. A circular cavity can act as an optical filter by placing it between two straight waveguides. Light is launched into one of these. If the input wavelength matches the cavity a resonance will occur and the power will be transferred to the other waveguide. Otherwise, no resonance occurs and the light will stay in the first waveguide. This thesis treats ring and disc microresonators within a 2D model. The resonant electomagnetic fields supported by such a free circular cavity are determined in the form of whispering gallery modes. From the Maxwell equations an ansatz for the electric field is derived and from that the resonances are calculated. For this a Matlab program was written which solves for the complex resonance frequency, but needs a good estimate as starting point. The simulation results agree well with the results from [9] and [16].
Item Type:Essay (Master)
Faculty:EEMCS: Electrical Engineering, Mathematics and Computer Science
Subject:31 mathematics
Programme:Applied Mathematics MSc (60348)
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