Abstract
Optical spatial gap solitons are investigated in biased centrosymmetric photorefractive media exhibiting the Kerr nonlinearity with an embedded photonic lattice. A Gaussian apodized lattice is considered and the photonic lattice band structure is found using the Floquet-Bloch theory. The photorefractive nonlinearity enabled the formation of soliton inside the photonic band gaps where usually transmission of light is forbidden. The paraxial Helmholtz equation is solved along with the Bloch wave solution to obtain the soliton states in both band gaps. We observe, for the first time, various types of soliton solutions, i.e., single hump, double hump, and multi hump in both the band gaps. A detailed investigation has been conducted on the existence and properties of the gap solitons. The stability of the spatial gap solitons against linear perturbations is examined by utilizing both numerical techniques and the Vakhitov-Kolokolov criterion.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Zhan K, Hou C (2012) Opt Commun 285:3649. https://doi.org/10.1016/j.optcom.2012.04.040
Christodoulides DN, Carvalho MI (1995) Bright, dark, and gray spatial soliton states in photorefractive media. J Opt Soc Am B 12:1628–1633. https://doi.org/10.1364/JOSAB.12.001628
Sun N-H et al (2009) Numerical analysis of apodized fiber Bragg gratings using coupled mode theory. Prog Electromagn Res 99:289–306. https://doi.org/10.1177/00368504221094173
Ashry AE, Mahros A, Alhaddad M, Elleithy K (2014) Investigating the performance of apodized fiber Bragg gratings for sensing applications. In: Proceedings of the 2014 zone 1 conference of the American society for engineering education, pp 1–5. https://doi.org/10.1109/ASEEZone1.2014.6820640
Feischer JW, Segev M, Efremidis NK, Christodoulides DN (2003) Nature 422. https://doi.org/10.1038/nature01452
Millar P, Liu X, De La Rue R, Aitchison JS (1998) Fabrication of complex integrated waveguide filters using electron beam lithography. In: Conference on lasers and electro-optics-Europe, technical digest series, Optica Publishing Group. https://opg.optica.org/viewmedia.cfm?uri=CLEO_Europe-1998-CThK3&seq=0
Neshev D, Alexander TJ, Ostrovskaya EA, Kivshar YS, Martin H, Makasyuk I, Chen Z (2004) Phys Rev Lett 92:123903. https://doi.org/10.1364/OL.31.000607
Chen Z, Martin H, Eugenieva ED, Xu J, Bezryadina A (2004) Phys Rev Lett 92:143902. https://doi.org/10.1364/OL.29.001656
Fischer R, Trager D, Neshev DN, Sukhorukov AA, Krolikowski W, Denz C, Kivshar YS (2006) Phys Rev Lett 96:023905
Xu Z, Kartashov YV, Torner L (2006) Opt Lett 31:2027
Ruelas A, Lopez-Aguayo S, Gutierrez-Vega JC (2010) Phys Rev A 82:063808
Zhan KY, Hou CF (2014) Lattice surface solitons in diffusive nonlinear media driven by the quadratic electro-optic effect. Opt Express 22:11646–11653. https://doi.org/10.1364/OE.22.011646
Kivshar YS, Agrawal GP, Agrawal GP (eds) (2003) Spatial solitons. Academic Press, pp 31–62. ISBN 9780124105904. https://doi.org/10.1016/B978-012410590-4/50002-4. https://doi.org/10.1016/B978-012410590-4/50002-4
Acknowledgements
Aavishkar Katti would like to acknowledge financial assistance from DST-SERB, Govt of India through the Core Research Grant (CRG/2021/004740)
Author information
Authors and Affiliations
Corresponding authors
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2024 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Umesh, D., Chourasia, R.K., Katti, A., Prashant, B.L. (2024). Origin of Gap Solitons in Gaussian Apodized Centro-Symmetrical Non-linear KLTN Lattices. In: Krupanidhi, S.B., Sharma, A., Singh, A.K., Tuli, V. (eds) Recent Advances in Functional Materials and Devices. AFMD 2023. Springer Proceedings in Materials, vol 37. Springer, Singapore. https://doi.org/10.1007/978-981-99-6766-7_27
Download citation
DOI: https://doi.org/10.1007/978-981-99-6766-7_27
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-99-6765-0
Online ISBN: 978-981-99-6766-7
eBook Packages: Chemistry and Materials ScienceChemistry and Material Science (R0)