LIGHT CAPTURING WITHIN THE DEFECT LOCATED IN LINEAR ONE-DIMENSIONAL PHOTONIC LATTICE
Abstract
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.
References
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. https://doi.org/10.1364/OL.35.003099
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. https://doi.org/10.1103/PhysRevE.92.052916
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. https://doi.org/10.1364/OE.20.019119
Christodoulides, D. N., Lederer, F. & Silberberg, Y. 2003. Discretizing light behaviour in linear and nonlinear waveguide lattices. Nature, 424, pp. 817–823. http://dx.doi.org/10.1038/nature01936
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. https://doi.org/10.1103/PhysRevA.84.013833
Eisenberg, H. S, Silberberg, Y, Morandotti, R. & Aitchison, J. S. 2000. Diffraction Management. Phys. Rev. Lett., 85, pp. 1863. DOI: https://doi.org/10.1103/PhysRevLett.85.1863
Fedele, F., Yang, J. K., & Chen, Z. G. 2005. Defect modes in one-dimensional photonic lattices. Opt. Letters, 30, pp. 1506-1508. https://doi.org/10.1364/OL.30.001506
Fisher, R. A., & Bischel, W. K. 1973. The role of linear dispersion in plane‐wave self‐phase modulation. Applied Physics Letters, 23, pp. 661. https://doi.org/10.1063/1.1654782
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. https://doi.org/10.1016/j.physrep.2012.03.005
Goodman, R. H., Slusher, R. E. & Weinstein, M. I. 2002. Stopping light on a defect. J. Opt. Soc. Am. B., 19, pp. 1635-1652. https://doi.org/10.1364/JOSAB.19.002737
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. https://doi.org/10.1103/PhysRevB.55.894
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. https://doi.org/10.1088/0031-8949/90/2/025505
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. https://doi.org/10.1364/JOSAB.20.000725
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. https://doi.org/10.1103/PhysRevB.48.8434
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. https://doi.org/10.1364/OL.30.001027
Molina, M. I. & Kivshar, Yu. S. 2008. Nonlinear localized modes at phase-slip defects in waveguide arrays. Opt. Letters, 33, pp. 917-919. https://doi.org/10.1364/OL.33.000917
Molina, L. M. & Vicencio, R. A. 2006. Trapping of discrete solitons by defects in nonlinear waveguide arrays. Opt. Lett., 31, pp. 966-968. https://doi.org/10.1364/OL.31.000966
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. https://doi.org/10.1364/OL.28.000834
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. https://doi.org/10.1142/S0218863507003548
Peschel, U., Pertsch, T. & Lederer, F. 1998. Optical Bloch oscillations in waveguide arrays. Optics Letters, 23, pp. 1701-1703. https://doi.org/10.1364/OL.23.001701
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. https://doi.org/10.1103/PhysRevLett.114.245503
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. https://doi.org/10.1103/PhysRevLett.96.063901
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. https://doi.org/10.1080/09500349808231751
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. https://doi.org/10.1364/JOSAB.10.000283
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. https://doi.org/10.1103/PhysRevA.78.013847
Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.