Abstract
The general transfer matrix theory of contradirectional devices is established. It will be demonstrated that the optical power is conserved as long as the corresponding metric tensor is conserved. The application of the theory is illustrated using an ADD/DROP multiplexer based on Bragg gratings. The transfer matrix theory is used to analyze the parameter tolerance of the threshold of external-cavity lasers and Y-lasers.
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References
Arnold, V.I. Geometrical Methods in the Theory of Ordinary Differential Equations. Springer, New York, 1983.
Bornholdt, C., C. Kappe, R. Müller, H.P. Nolting, F. Reier, R. Stenzel, H. Venghaus and C.M. Weinert. Appl. Phys. Lett. 57 2517, 1990.
Chen, K.L., S. Wang and H.K. Choi. IEEE J. Quantum Electron. 20 385, 1984.
Dütting, K., O. Hildebrandt, D. Baums, W. Idler, M. Schilling and K. Wünstel. IEEE J. Quantum Electron. 30 654, 1994.
Ebeling, K.J. and L.A. Coldren. J. Appl. Phys. 54 2962, 1983.
Fischbeck, G., K. Petermann, C. Kostrzewa and R. Moosburger. Opt. Quantum Electron. 29 343, 1997.
März, R. Integrated Optics: Design and Modeling. Artech House, Boston, 1994.
Offrein, B.J., G.L. Bona, F. Horst, W.M. Salemink, R. Beyerler and R. Germann. IEEE Photon. Technol. Lett. 11 239, 1999.
Smit, M.K. IEEE J. Select. Topics in Quantum Electron. 2 236, 1996.
Wang, S., H.K. Choi and I.H.A. Fattah. IEEE J. Quantum Electron. 18 610, 1982.
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März, R., Hilliger, G. On the transfer matrix theory of contradirectional devices. Optical and Quantum Electronics 32, 829–842 (2000). https://doi.org/10.1023/A:1007070613168
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DOI: https://doi.org/10.1023/A:1007070613168