Numerical calculation of optical resonator losses Public Deposited

http://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/z603r087f

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  • This study investigated a solution technique to shorten the calculation time required for determining power losses of the different resonant modes of oscillation in the Fabry-Perot optical cavity. The first comprehensive analytic study of the Fabry-Perot optical resonator was made by A. G. Fox and Tingye Li of Bell Laboratories. Using a scalar formulation of Huygen's principle, they were able to derive a homogeneous Fredholm equation of the second kind to describe the resonant modes. A numerical iteration method with a converging solution was used to calculate the solutions of this eigenvalue problem. This method was accurate but required a considerable amount of computer time. This made the iteration solution unattractive in terms of computer time cost. A modified solution scheme, based on iteration, was studied in this thesis to reduce the calculation time for determining the power loss. A reduction of about 70% in the computer time was achieved without loss of accuracy by using a variational principle in addition to the iteration process. I would like to express my gratitude to Dr. J. Fred Holmes for the guidance he has given me in this thesis study.
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