Abstract
The generalized Snell’s law derived based on Fermat’s principle and the boundary conditions of continuity are introduced in this paper. The 3D format of generalized Snell’s law is also demonstrated. The generalized Snell’s law is proved by metasurface, which is composed of quasi-periodical square patch units. The establishment of model for simulation is introduced and the anomalous reflection of metasurface is verified. A method for structure simplification is proposed by further analyzing the generalized Snell’s law and verified. The simulated results show that for normal incident EM wave, the anomalous reflection angle is 46°, which is approximate with the theoretical result. Furthermore, the anomalous reflection angle does not change when reducing the kinds of units from 8 to 2, proving that the number of kind of chosen units does not affect the anomalous reflection angle when the length of super unit remain unchanged.
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
Similar content being viewed by others
References
Yu, N., Genevet, P., Kats, M.A., et al.: Light propagation with phase discontinuities: generalized laws of reflection and refraction. Science 334(6054), 333–337 (2011)
Lin, D., Fan, P., Hasman, E., et al.: Dielectric gradient metasurface optical elements. Science 345(6194), 298 (2014)
Yang, X.M., Jiang, G.L., Liu, X.G., et al.: Suppression of specular reflections by metasurface with engineered nonuniform distribution of reflection phase. Int. J. Antennas Propag. 1–8 (2015)
Song, Y., Ding, J., Guo, C., et al.: Ultra broadband backscatter radar cross section reduction based on polarization in-sensitive metasurface[J]. IEEE Antennas Wirel. Propag. Lett. 15, 1 (2015)
Liang, L., Qi, M., Yang, J., et al.: Metamaterials: anomalous terahertz reflection and scattering by flexible and conformal coding metamaterials. Adv. Opt. Mater. 3(10), 1374–1380 (2015)
Yu, N., Genevet, P., Aieta, F., et al.: Flat optics: controlling wavefronts with optical antenna metasurfaces. IEEE J. Sel. Top. Quantum Electron. 19(3), 4700423 (2013)
Ni, X.: Broadband light bending with plasmonic nanoantennas. Science 335(6067), 427 (2011)
Holloway, C.L., Kuester, E.F., Gordon, J.A., et al.: An overview of the theory and applications of metasurfaces: the two-dimensional equivalents of metamaterials. IEEE Antennas Propag. Mag. 54(2), 10–35 (2012)
Sun, Y., Han, L., Shi, X., et al.: General laws of reflection and refraction for metasurface with phase discontinuity. Acta Phys. Sinica 62(10), 104201 (2013)
Acknowledgements
This work is supported by the key support project of Sichuan’s science and technology department with grant no. 2017FZ0011.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2021 Springer Nature Switzerland AG
About this paper
Cite this paper
Zheng, L., Zhao, Y. (2021). Generalized Snell’s Law and Its Verification by Metasurface. In: Barolli, L., Poniszewska-Maranda, A., Park, H. (eds) Innovative Mobile and Internet Services in Ubiquitous Computing . IMIS 2020. Advances in Intelligent Systems and Computing, vol 1195. Springer, Cham. https://doi.org/10.1007/978-3-030-50399-4_35
Download citation
DOI: https://doi.org/10.1007/978-3-030-50399-4_35
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-50398-7
Online ISBN: 978-3-030-50399-4
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)