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8 September 2006 Resonant tunneling based filter design using Legendre polynomial expansion
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Proceedings Volume 6343, Photonics North 2006; 63433J (2006)
Event: Photonics North 2006, 2006, Quebec City, Canada
In this paper optical filters based on photonic resonant tunneling effect are analyzed by using the polynomial expansion method. Amplitude and phase response together with their dependency on the physical parameters of the filters are also investigated. These steep-edge filters show low insertion loss amplitude response, and linear phase variation in their passband, a suitable feature for WDM and DWDM applications where constant time delay and dispersion free devices are needed. Two kinds of filters, namely discrete level and continuous profile filters are introduced. These structures can be analyzed and designed by using Transfer Matrix Method. However, this approach suffers from inaccuracy and numerical instability when narrow linewidth filters are desired. Moreover, analyzing the continuous profile filters using this method calls for breaking the structure into many homogeneous sublayers. Here, a method based on Legendre expansion of electromagnetic fields is adopted to design and analyze the proposed filters. Not only the method relieves some numerical problems peculiar to conventional methods, but also can be applied for holistic analysis of filters having continuous refractive index profile and therefore eliminates the need for cumbersome multilayer analysis.
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Maysamreza Chamanzar, Khashayar Mehrany, Bizhan Rashidian, and Mahmood Akbari "Resonant tunneling based filter design using Legendre polynomial expansion", Proc. SPIE 6343, Photonics North 2006, 63433J (8 September 2006);

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