• Slavica Jovanović Faculty of Sciences and Mathematics, University of Priština in Kosovska Mitrovica, Kosovska Mitrovica, Serbia
  • Marija Stojanović Krasić Faculty of Technology, University of Niš, Leskovac, Serbia
Keywords: Photonic lattices, Linear defect, Trapping efficiency, Optical control


Numerically investigated the light beam propagation through one-dimensional photonic lattice possessing one linear defect. It is shown how capturing of light depends on lattice characteristics as well as the width and wavelength of input light beam. Results may be useful for all-optical control of transmission of waves in interferometry.


Beličev, P., Ilić, I., Stepić, M., Maluckov, A., Tan, Y. & Chen, F. 2010. Observation of linear and nonlinear strongly localized modes at phase-slip defects in one-dimensional photonic lattices. Opt. Letters, 35, pp. 3099-3101.

Beličev, P. P., Gligorić, G., Radosavljević, A., Maluckov, A., Stepić, M., Vicencio, R. A. & Johansson, M. 2015. Localized modes in nonlinear binary kagome ribbons. Phys. Rev. E., 92, pp. 052916.

Cao, Z., Qi, X., Feng X., Ren, Z., Zhang, G. & Bai, J. 2012. Light controlling in transverse separation modulated photonic lattices. Opt. Exp., 20, pp. 19119-19124.

Christodoulides, D. N., Lederer, F. & Silberberg, Y. 2003. Discretizing light behaviour in linear and nonlinear waveguide lattices. Nature, 424, pp. 817–823.

Dmitriev, S. V., Suchkov, S. V., Sukhorukov, A. A. & Kivshar, Y. S. 2011. Scattering of linear and nonlinear waves in a waveguide array with a PT-symmetric defect. Phys. Rev. A., 84, pp. 013833.

Eisenberg, H. S, Silberberg, Y, Morandotti, R. & Aitchison, J. S. 2000. Diffraction Management. Phys. Rev. Lett., 85, pp. 1863. DOI:

Fedele, F., Yang, J. K., & Chen, Z. G. 2005. Defect modes in one-dimensional photonic lattices. Opt. Letters, 30, pp. 1506-1508.

Fisher, R. A., & Bischel, W. K. 1973. The role of linear dispersion in plane‐wave self‐phase modulation. Applied Physics Letters, 23, pp. 661.

Garanovich, I. L., Longhi, S., Sukhorukov, A. A. & Kivshar, Y. S. 2012. Light propagation and localization in modulated photonic lattices and waveguides. Phys. Rep., 518, pp. 1-79.

Goodman, R. H., Slusher, R. E. & Weinstein, M. I. 2002. Stopping light on a defect. J. Opt. Soc. Am. B., 19, pp. 1635-1652.

Gupta, B. C. & Kundu, K. 1997. Formation of stationary localized states due to nonlinear impurities using the discrete nonlinear Schrödinger equation. Phys. Rev. B., 55, pp. 894-905.

Kuzmanović, J. S. 2015. Kontrola formiranja i prostiranja lokalizovanih struktura u fotonskim rešetkama s defektima. Niš: PMF Niš.

Kuzmanović, S., Stojanović Krasić, M., Milović, D., Radosavljević, A., Gligorić, G., Maluckov, A. & Stepić, M. 2015. Defect induced wave-packet dynamics in linear one-dimensional photonic lattices. Phys. Scripta, 90, pp. 025505.

Kuzmanović, S., Stojanović Krasić, M., Mančić, A., Drljača, B. & Stepić, M. 2016. The influence of nonlinear and linear defects on the light propagation through linear one-dimensional photonic lattice. University Thought, 6, pp. 61-66. DOI: 10.5937/univtho6-12670

Mak, W. C. K., Malomed, B. A., & Chu, P. L. 2003. Interaction of a soliton with a local defect in a fiber Bragg grating. J. Opt. Soc. Am. B., 20, pp. 725-735.

Matias, I. R., Villar, I. D.,  Arregui, F. J. & Claus, R. O. 2003. Development of an optical refractometer by analysis of one-dimensional photonic bandgap structures with defects. Opt. Lett., 28, pp. 1099–1101. DOI: 10.1364/ol.28.001099

Meade, R. D., Rappe, A. M., Brommer, K. D., Joannopoulos, J. D. & Alerhand, O. L. 1993. Accurate theoretical analysis of photonic band-gap materials. Phys. Rev. B., 48, pp. 8434-8437.

Meier, J., Stegeman, I. G., Christodoulides, D. N., Silberberg, Y., Morandotti, R., Yang, H., Salamo, G., Sorel, M. & Aitchison J. S. 2005. Beam interactions with a blocker soliton in one-dimensional arrays. Opt. Letters, 30, pp. 1027-1029.

Molina, M. I. & Kivshar, Yu. S. 2008. Nonlinear localized modes at phase-slip defects in waveguide arrays. Opt. Letters, 33, pp. 917-919.

Molina, L. M. & Vicencio, R. A. 2006. Trapping of discrete solitons by defects in nonlinear waveguide arrays. Opt. Lett., 31, pp. 966-968.

Morandotti, R., Eisenberg, H. S., Mandelik, D., Silberberg, Y., Modotto, D., Sorel, D., Stanley, C. R. & Aitchison, J. S. 2003. Interactions of discrete solitons with structural defects. Opt. Letters., vol. 28, pp. 834-836.

Neshev, D. N., Sukhorukov, A. A., Krolikowski, W. & Kivshar, Y. S. 2007. Nonlinear optics and light localization in periodic photonic lattices. J. Nonlinear Opt. Phys. & Mater., 16, pp. 1-25.

Peschel, U., Pertsch, T. & Lederer, F. 1998. Optical Bloch oscillations in waveguide arrays. Optics Letters, 23, pp. 1701-1703.

Vicencio, R. A., Cantillano, C., Inostroza, L. M., Real, B., Cortez C. M., Weimann, S., Szameit, A. & Molina, M. 2015. Observation of Localized States in Lieb Photonic Lattices. Phys. Rev. Lett., 114, pp. 245503.

Song, B. S., Noda, S. & Asano, T. 2003. Photonic devices based on in-plane hetero photonic crystals. Science, 300, pp. 1537. DOI: 10.1126/science.1083066

Suntsov, S., Makris, K. G., Christodoulides, D. N., Stegeman, G. I., Haché, A., Morandotti, R., Yang, H., Salamo, G. & Sorel, M. 2006. Observation of discrete surface solitons. Phys. Rev. Lett., 96, pp. 063901.

Stojanović Krasić, M., Mančić, A., Kuzmanović, S., Veljković Đorić, S. & Stepić, M. 2017. Linear and interface defects in composite linear photonic lattice. Optics Communications, 394, pp. 6-13. DOI: 10.1016/j.optcom.2017.02.021

Tsai, Y. C. K., Shung, W. K. & Gou, S. C. 1998. Impurity modes in one-dimensional photonic crystals-analytic approach. J. Mod. Opt., 45, pp. 2147-2157.

Wang, X. & Chen, Z. 2009. Beam control and multi-color routing with spatial photonic defect modes. Opt. Exp., 17, pp. 16927-16932. DOI: 10.1364/OE.17.016927

Yablonovitch, E. 1993. Photonic band-gap structures. J. Opt. Soc. Am. B., 10, pp. 283-295.

Ye, F., Kartashov, Y. V., Vysloukh, V. A. & Torner, L. 2008. Nonlinear switching of low-index defect modes in photonic lattices. Phys. Rev. A., 78, pp. 013847.

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