TEK BOYUTLU FOTONİK KRİSTALDE DAĞILIM ÖZELLİĞİNDEN YARARLANARAK ETKİN KIRILMA İNDİSİNİN HESAPLANMASI

Bu çalışmada, dielektrik sabiti periyodik olarak değişen tek boyutlu bir fotonik kristalde belli frekansların iletimine izin veren yasaklı band yapısı ve periyodiklik koşuluna bağlı olarak iletim özellikleri incelenmiştir. Ayrıca, belirlenen kristale ait kırılma indislerine bağlı olarak incelenen dağılım özellikleri, kılavuzlanan modların neff etkin indislerinin hesaplanmasında kullanılmıştır.

THE CALCULATION OF EFFECTIVE REFRACTIVE INDEX BY USING DISPERSION PROPERTY IN PHOTONIC CRYSTAL WITH ONE DIMENSION

In this paper, the forbidden band structure in which able to propagate certain frequencies and transmission properties with respect to periodicity condition are investigated in one dimension photonic crystal has a dielectric constant which change periodic. However, the dispersion properties with respect to refractive indexes belong to certain crystal are used in calculation of neff refractive indexes of guided modes.              

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  • [1] Russell, P. St. J., “Photonic-Crystal Fibers”, Journal of Lightwave Technology, Vol. 24, No.12, 4729-4749 (2006).
  • [2] Özbay, E., Bulu, İ., Çağlayan, H., Aydın, K., Güven, K., “Physics and Applications of Photonic Crystal”, Photonics and Nanostructures – Fundamentals and Applications 2, 87–95, (2004).
  • [3] Arriaga, J., Knight, J. C., Russell, P. St. J., “Modeling the Propagation of Light in Photonic Crystal Fibers”, Physica D, 189, 100–106, (2004).
  • [4] Richardson, D. J., Poletti, F., Leong, J. Y. Y., Feng, X., Ebendorff Heidepreim, H., Finazzi, V., Frampton, K. E., Asimakis, S., Moore, R. C., Baggett, J. C., Hayes, J. R., Petrovich, M. N., Tse, M. L., Amezcua, R., Price, J. H. V., Broderick, N. G. R., Petropoulos, P., Monro, T. M., “Advances in Microstructured Fiber Technology”, IEEE. Reprinted from IEEE/LEOS Workshop: Fibres and Optical Passive Components, Palermo, Italy, (2005).
  • [5] Buczynski, R., “Photonic Crystal Fibers”, Acta Physica Polonica A, Vol. 106, N0:2, 141-167, (2004).
  • [6] Sinha, R. K., Varshney, S. K., “Dispersion Properties of Photonic Crystal Fibers”, Microwave and Optical Technology Letters, Vol. 37, No:2, 130-132, (2003).
  • [7] Knight, J. C., Broeng, J., Birks, T. A., Russell, P. St. J., “Photonic Band Gap Guidance in Optical Fibers”, Science, Vol. 282, (1998).
  • [8] Cazo, R. M., Barbosa, C. L., Hattori H. T., Schneider, V. M., “Steady-State Analysis of a Directional Square Lattice Band Edge Photonic Crystal Lasers”, Microwave and Optical Technology Letters, Vol. 46, No:3, 210-214, (2005).
  • [9] Saleh, B. E. A., “Fundementals of Photonics”, John Wiley & Sons, 737-739, (1991).
  • [10] Joannopoulos, J. D., Jhonson, S. G., Winn, J. N., Meade, R. D., “Photonic Crystal Molding the Flow of Light”, Princeton University Press, 3-8, (2008).
  • [11] Zheng, J., Ye, Z., Wang, X., Liu, D., “Analytical Solution for Band-Gap Structures in Photonic Crystal with Sinusoidal Period”, Physics Letters A, 321, 120–126, (2004).
  • [12] Kittel, C., “Introduction to Solid State Physics”, New York, J. Wiley, 43-66, (1996).
  • [13] Signh, J., “Semiconduntor Optoelectronics”, McGraw-Hill Inc., 53-55, (1995).
  • [14] Pendry, J . B., “Photonic Band Structures”, Journal of Modern Optics, Vol. 41, No. 2, 209-229, (1994).
  • [15] Khorasani, S., Adibi, A., “New Analytical Approach for Computation of Band Structure in One-Dimensional Periodic Media”, Optics Communications, 216, 439–451, (2003).
  • [16] Gaspar-Armenta, J.A., Villa, F., Lopez-Rios, T., “Surface Waves in Finite One-Dimensional Photonic Crystals: Mode Coupling”, Optics Communications Vol. 216, 379–384, (2003).
  • [17] He, J., Jin, Y., Hong, Z., He, S., “Slow Light in a Dielectric Waveguide with Negative-Index Photonics Crystal Cladding”, Optics Express, Vol. 16, No. 15, 11077-11082, (2008).
  • [18] Weyl, J. C., Costa, A., Giarola, A. J. “Wave Propagation in Multilayer Dielectric Periodic Structure”, 1964-1967, IEEE (1993).
  • [19] Hojo, H., Mase, A., “Dispersion Relation of Electromagnetic Waves in One-Dimensional Plasma Photonics Crystal”, Journal of Plasma and Fusion Research, Vol. 80, No. 24, 89-90, (2004).
  • [20] Hussein, M. I., Hamza, K., Hulbert, G. M., Scott R. A., Saitou, K., “Design of Layered Structures with Desired Dispersion Properties Using a Multiobjective Genetic Algorithm”, MDP-8 Cairo University Conference Proceeding of MDP-8, Cairo University Conference on Mechanical Design and Production Cairo, Egypt, January 4-6, (2004).
  • [21] Yariv, A., Yeh, P., “Optical Waves in Crystals”, John Wiley & Sons, 165-205, (2003).
  • [22] Yariv, A., Yeh, P., “Photonics”, Oxford University Pres Inc., 539-555, (2007).
  • [23] Khorasani, S., Adibi, A., “Approximate analysis and Design of Rectangular-Lattice Photonic Crystals”, Optics Letters, Vol. 28, No. 16, August 15, (2003).
  • [24] Arfken, G. Β., Weber, J. H. “Mathematical Methods for Physicists” , Elsevier Academic Press, 881-892, (2005).
  • [25] Joseph W. H, “A Brief Review of Theoretical Results for Photonic Band Structures”, Journal of Modern Optics, Vol. 41, No. 2, 195-207, (1994).