NDLI: Use of the round-trip operator technique for optical resonators with dispersion elements

Content Provider	IEEE Xplore Digital Library
Author	Elkin, N.N. Napartovich, A.P. Vysotsky, D.V. Troshchieva, V.N.
Copyright Year	2005
Description	Author affiliation: State Sci. Center, Troitsk Inst. for Innovation & Fusion Res., Moscow (Elkin, N.N.; Napartovich, A.P.; Vysotsky, D.V.; Troshchieva, V.N.)
Abstract	The round-trip operator technique is widely used for dispersionless optical resonators beginning from pioneering studies of Fox and Li. Resonator modes are determined as the eigen-functions of the round-trip operator and may be calculated by means of numerical linear algebra. Corresponding complex eigen-values determine the wavelength shifts relative to reference value and damping factors. Dispersion elements, for example, Bragg mirrors in VCSEL result in dependence of propagation operator on the wavelength and damping factor. We can determine the round-trip operator in this case also, but unknown values of the wavelength and damping factor enter into the operator by a complicated manner. Trial-and-error method for determination of wavelength shifts and damping factors is possible but it is very laborious method. The proposed proximate numerical method for calculation of resonator modes is based on solution of linear eigen-problem for the round-trip operator with reference wavelength and zero damping. The wavelength shifts and damping factors can be calculated by simple formulae using eigenvalues obtained and previously computed effective length of the resonator. Calculations for anti-guided VCSELs were executed for model verification
Sponsorship	IEEE/LEOS Ukraine Chapter IEEE/AP/MTT/ED/AES/GRS/NPS/EMB East Ukraine Joint Chapter Sci. and Technol. Center in Ukraine, STCU
Starting Page	1
Ending Page	8
File Size	1008873
Page Count	8
File Format	PDF
ISBN	0780391470
DOI	10.1109/LFNM.2005.1553170
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2005-09-15
Publisher Place	Ukraine
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Optical resonators Damping Vertical cavity surface emitting lasers Gallium arsenide Mirrors Numerical models Optical refraction Optical waveguides Distributed Bragg reflectors Dielectric substrates
Content Type	Text
Resource Type	Article

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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