Characteristics of complementary ring-resonator add/drop filters modeling by using graphical approach

In this paper, the filtering characteristics of the two kinds of complementary ring-resonator add/drop filters are modeled and investigated. A graphical approach with signal flow graph is employed here for the analytical derivation of the optical transfer functions in Z-domain of filters. The charac...

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Vydáno v:	Optics communications Ročník 272; číslo 1; s. 81 - 86
Hlavní autoři:	Yupapin, P.P., Saeung, P., Li, C.
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Amsterdam Elsevier B.V 01.04.2007 Elsevier Science
Témata:	Exact sciences and technology Fundamental areas of phenomenology (including applications) Graphical approach Group delay Imaging and optical processing Modulation and optical transfer functions Optics Physics Signal flow graph Single ring add/drop filter Graphical approach Signal flow graph Single ring add/drop filter Group delay Optical losses Ring resonator Optical transfer function Optical coupling Phase delay Optical directional couplers Transmittance
ISSN:	0030-4018, 1873-0310
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Abstract	In this paper, the filtering characteristics of the two kinds of complementary ring-resonator add/drop filters are modeled and investigated. A graphical approach with signal flow graph is employed here for the analytical derivation of the optical transfer functions in Z-domain of filters. The characteristics of the complementary circuits including the transmittance and group delay of the drop port with respect to the input port are simulated. The present analysis is restricted to directional couplers characterized by two parameters, the power coupling coefficient κ and power coupling loss γ. Explicit expressions for the phase delay, the full-width at half maximum, the Q-factor and the finesse are also given. Using appropriate coupling coefficients, the filtering characteristics can be optimized.
AbstractList	In this paper, the filtering characteristics of the two kinds of complementary ring-resonator add/drop filters are modeled and investigated. A graphical approach with signal flow graph is employed here for the analytical derivation of the optical transfer functions in Z-domain of filters. The characteristics of the complementary circuits including the transmittance and group delay of the drop port with respect to the input port are simulated. The present analysis is restricted to directional couplers characterized by two parameters, the power coupling coefficient κ and power coupling loss γ. Explicit expressions for the phase delay, the full-width at half maximum, the Q-factor and the finesse are also given. Using appropriate coupling coefficients, the filtering characteristics can be optimized.
Author	Li, C. Yupapin, P.P. Saeung, P.
Author_xml	– sequence: 1 givenname: P.P. surname: Yupapin fullname: Yupapin, P.P. email: kypreech@kmitl.ac.th organization: Advanced Research Center for Photonics, Department of Applied Physics, Faculty of Science, King Mongkut’s Institute of Technology, Chalongkrung Road, Ladkrabang Bangkok 10520, Thailand – sequence: 2 givenname: P. surname: Saeung fullname: Saeung, P. organization: Advanced Research Center for Photonics, Department of Applied Physics, Faculty of Science, King Mongkut’s Institute of Technology, Chalongkrung Road, Ladkrabang Bangkok 10520, Thailand – sequence: 3 givenname: C. surname: Li fullname: Li, C. email: cfli@hit.edu.cn organization: Department of Physics, Faculty of Science, Harbin Institute of Technology Harbin, 150001, China
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Keywords	Graphical approach Signal flow graph Single ring add/drop filter Group delay Optical losses Ring resonator Optical transfer function Optical coupling Phase delay Optical directional couplers Transmittance
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SubjectTerms	Exact sciences and technology Fundamental areas of phenomenology (including applications) Graphical approach Group delay Imaging and optical processing Modulation and optical transfer functions Optics Physics Signal flow graph Single ring add/drop filter
Title	Characteristics of complementary ring-resonator add/drop filters modeling by using graphical approach
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