Abstract
Spectral properties of a very deep Bragg grating operating in a first diffraction order on a single-mode planar waveguide have been studied theoretically. It is shown that the scattering loss can be low (a few percent), the reflectivity very high (over 90%), the reflection band is shifted against the ‘Bragg’ wavelength toward the shorter wavelengths, and its spectral shape is very different from that of a shallow grating. Inside a reflection band, a part of the input optical power penetrates through the grating even if it is infinitely long. These properties are predicted by modelling using two independent computer codes based on different modelling methods, namely the bi-directional mode expansion and propagation method (BEP), and a method of lines (MoL). The first method is discussed in some detail here. The work has been performed within the framework of European Action COST 240.
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References
See, e.g. J. Lightwave Technol. 15 (1997) No. 8 (Special Issue on Fiber Gratings, Photosensitivity, and Poling).
T. Tamir (ed.), Guided-Wave Optoelectronics (Springer, Berlin, 1988) Chap. 2.
G. Sztefka and H.-P. Nolting, IEEE Photonics Technol. Lett. 5 (1993) 554.
J. ČtyrokÝ, J. Homola and M. SkalskÝ, Opt. Quantum Electron. 29 (1997) 301.
J. Gerdes and R. Pregla, J. Opt. Soc. Am. B 8 (1991) 389.
R. Pregla, Methods for Modeling and Simulation of Guided-Wave Optoelectronic Devices, Progress in Electromagnetic Research (PIER 11), edited by W. P. Huang (EMW Publishing, Cambridge, Massachusetts, USA, 1995) pp. 51-102.
S. Helfert and R. Pregla, Proceeding of the Progress in Electromagnetics Research Symposium, Vol. 1 (PIERS, Hong Kong, 1997) p. 105.
S. F. Helfert and R. Pregla, J. Lightwave Technol. (1997) (submitted).
T. Otoh (ed.), Numerical Techniques for Microwave and Millimeter Wave Passive Structures (John Wiley, New York, 1988) Chap. 9 and 11.
H. Berends, Integrated Optical Bragg Reflectors as Narrowband Waveguide Filters, PhD dissertation, University of Twente, Enschede (1997).
T. Itoh (ed.), Numerical Techniques for Microwave and Millimeter Wave Passive Structures (John Wiley, New York, 1988) Chap. 6.
U. Rogge and R. Pregla, J. Ligthtwave. Technol. 11 (1993) 2015.
R. Pregla, AEÜ 50 (1996) 293.
A. S. SudbØ, Pure Applied Optics 3 (1994) 381.
A. S. SudbØ and P. I. Jensen, Proceedings of Integrated Photonics Research, Dana Point, California, 1995, p. 27.
R. E. Collin, Field Theory of Guided Waves, 2nd edition, Series of Electromagnetic Waves, (IEEE Press, New York, 1991), Chap. 9.1.
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Čtyroký, J., Helfert, S. & Pregla, R. Analysis of a deep waveguide Bragg grating. Optical and Quantum Electronics 30, 343–358 (1998). https://doi.org/10.1023/A:1006964000620
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DOI: https://doi.org/10.1023/A:1006964000620