Physics – Optics
Scientific paper
2006-12-03
Physics
Optics
Code appendices included, 20 subfigures. MSci Project Report, Imperial College London, with partner Ben Hall, supervised by Ge
Scientific paper
Codes were written to simulate the propagation of monochromatic light through a bare optical resonator, using a computational Fourier method to solve the Huygens-Fresnel integral. This was used, in the Fox-Li method, to find the lowest-loss eigenmodes of arbitrary cavity designs. An implicit shift `hopping' method was employed to allow a series of increasingly higher-loss eigenmodes to be found, limited in number by computational time. Codes were confirmed in their accuracy against the literature, and were used to investigate a number of different cavity configurations. In addition to confirming the fractal nature of eigenmodes imaged at the conjugate plane of a symmetric (g<-1) resonator, an initial study was made of how the (imperfect) quality of the fractal fit varied as the defining aperture was moved around the cavity. A comparison was also made with the fractal-patterns produced by codes written to simulate basic video-feedback.
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