Diffractive origin of fractal resonator modes
New, GHC, Yates, M, Woerdman, JP and Mcdonald, GS 2001, 'Diffractive origin of fractal resonator modes' , Optics Communications, 193 (1-6) , pp. 261-266.
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The modes of unstable optical resonators possess fractal character. In this paper, the fundamental question of how and why fractals originate in one of the simplest linear optical systems is addressed. The answer is related to the fact that unstable resonator modes consist of a superposition of Fresnel diffraction patterns with effectively random phases. A connection is established between the mode eigenvalues and their fractal dimensions, and the consequent prediction that higher-order modes should exhibit lower fractal dimension is confirmed by numerical demonstration.
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|Schools:||Colleges and Schools > College of Science & Technology > School of Computing, Science and Engineering > Materials & Physics Research Centre|
|Journal or Publication Title:||Optics Communications|
|Publisher:||Elsevier Science B.V.|
|Depositing User:||GS McDonald|
|Date Deposited:||14 Oct 2011 10:34|
|Last Modified:||20 Aug 2013 18:14|
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