Optimization of two- dimensional photonic crystal waveguides for TE and TM polarizations

• Autorzy: Danaie M. , Attari A. R. , Mirsalehi M. M. , Naseh S.
• Języki publikacji: EN

Abstrakty

EN

In this paper, we optimize the geometries of some 2D photonic crystal waveguides to increase their single-mode bandwidths for TE and TM polarizations. Using the Plane Wave Expansion (PWE) method combined with optimization algorithm, we find the local maxima as well as the global maximum. A photonic crystal waveguide geometry is proposed which has a single-mode normalized bandwidth of 41% for TM polarization. This value is about 7% greater than the corresponding value for the commonly used square lattice of dielectric rods in which a row is removed. Also, some waveguide geometries are proposed for TE polarization and it is shown that one of these geometries can provide a single-mode bandwidth of 39%, while the widest bandwidth reported so far for the TE case is 21%. The dielectric material used for both cases is GaAs with a dielectric constant of 11.4.

Słowa kluczowe

EN

photonic crystal waveguides; photonic bandgaps; optimization

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Optica Applicata
• Rocznik: 2008
• Tom: Vol. 38, nr 4
• Strony: 643--655
• Opis fizyczny: Bibliogr. 19 poz.,

Twórcy

autor

Danaie M.

autor

Attari A. R.

autor

Mirsalehi M. M.

autor

Naseh S.

• Electrical Engineering Department, Amirkabir University of Technology, Teheran, Iran

Bibliografia

• [1] JOANNOPOULOS J.D., MEADE R.D., WINN J.N., Photonic Crystals: Molding the Flow of Light, Princeton Univ. Press, Princeton, 1995.
• [2] NODA S., BABA T., Roadmap on Photonic Crystals, Kluwer Academic Publisher, 2003.
• [3] MULOT M., SAYNATJOKI A., ARPIAINEN S., LIPSANEN H., AHOPELTO J., Photonic crystal slabs with ring-shaped holes in a triangular lattice, 7th International Conference on Transparent Optical Networks (ICTON), Barcelona, Spain, 2005, pp. 155–58. Optimization of two-dimensional photonic crystal waveguides... 655
• [4] ZALEVSKY Z., RUDNITSKY A., NATHAN M., Nano photonic and ultra fast all-optical processing modules, Optics Express, 13, 2005, pp. 10272–284.
• [5] SHINYA A., TAKARA H., KAWANISHI S., All-optical flip-flop circuit composed of coupled two-port resonant tunneling filter in two-dimensional photonic crystal slab, Optics Express, 14, 2006, pp. 1230–35.
• [6] MIAO B., CHEN C., SHARKWAY A., SHI S., PRATHER D.W., Two bit optical analog-to-digital converter based on photonic crystals, Optics Express, 14, 2006, pp. 7966–73.
• [7] NODA S., IMADA M., OKANO M., OGAWA S., MOCHIZUKI M., CHUTINAN A., Semiconductor threedimensional and two-dimensional photonic crystals and devices, IEEE Journal of Quantum Electronics, 38, 2002, pp. 726–35.
• [8] NIELSEN J.B., SONDERGAARD T., BARKOU S.E., BJARKLEV A., BROENG J., Two-dimensional Kagome structure fundamental hexagonal photonic crystal configuration, IEEE Electron Letters, 35, 1999, pp. 1736–37.
• [9] NIELSEN J.B., SONDERGAARD T., BARKOU S.E., BJARKLEV A., BROENG J., Two-dimensional Kagome photonic bandgap waveguide, IEEE Photonics Technology Letters, 12, 2000, pp. 630–632.
• [10] JOHNSON S.G., VILLENEUVE P.R., FAN S., JOANNOPOULOS J.D., Linear waveguides in photoniccrystal slabs, Physical Review, B, 62, 2000, pp. 8212–22.
• [11] ADIBI A., LEE R.K., XU Y., YARIV A., SCHERER A., Design of photonic crystal with single-mode propagation in photonic bandgap, IEEE Electron Letters, 36, 2000, pp. 1376–78.
• [12] BADIEIROSTAMI M., MOMENI B., SOLTANI M., ADIBI A., Investigation of physical mechanisms in coupling photonic crystal waveguiding structures, Optics Express, 12, 2004, pp. 4781–89.
• [13] YAMADA K., MORITA H., SHINYA A., NOTOMI M., Improved line-defect structures for photoniccrystal waveguides with high group velocity, Optics Communication, 2001, pp. 395–402.
• [14] KHATIBI MOGHADAM M., Design and Analysis of Photonic Crystal Structures, M. Sc. Thesis, Electrical Engineering Department, Ferdowsi University of Mashhad, 2006.
• [15] REEVES C.R., ROWE J.E., Genetic Algorithms Principles and Perspectives: A Guide to GA Theory, Kluwer Academic Publishers, 2003.
• [16] AARTS E.H.L., KOARST J., Simulated Annealing and Boltzmann Machines: A Stochastic Approach to Combinatorial Optimization, Wiley, Chichester, New York, 1989.
• [17] LAARHOVEN P.J.M., AARTS E.H.L., Simulated Annealing: Theory and Applications, Kluwer Academic Publishers, 1987.
• [18] JANG J.-S.R., SUN C.-T., Neuro-Fuzzy and Soft Computing: A Computational Approach to Learning and Machine Intelligence, Prentice-Hall, Upper Saddle River, NJ, 1996.
• [19] GUO S., ALBIN S., Simple plane wave implementation for photonic crystal calculations, Optics Express, 11, 2003, pp. 167–75.