Abstract
A half-plane, formed of anomalously reflecting metasurface, is taken into account. The layer is modeled by an impedance half-screen. In order to obtain the diffracted fields, the geometrical optics waves are evaluated as a sum of equivalent soft, hard and impedance surfaces. The diffracted waves are derived by the superposition of the diffracted fields from the equivalent surfaces. The uniform field expressions are obtained by the method of uniform theory of diffraction. The behaviors of the fields are studied numerically.
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Brodin, G., Marklund, M., Stenflo, L., Shukla, P.K.: Anomalous reflection and excitation of surface waves in metamaterials. Phys. Lett. A 367, 233–236 (2007)
Chalabi, H., Ra’di, Y., Sounas, D.L., Alu, A.: Efficient anomalous reflection through near-field interactions in metasurfaces. Phys. Rev. B 96, 075432 (2017)
Chen, Z., Deng, H., Xlong, Q., Liu, C.: Phase gradient metasurface with broadband anomalous reflection based on cross-shaped units. Appl. Phys. A 124, 281 (2018)
Diaz-Rubio, A., Asadchy, V.S., Elsakka, A., Tretyakov, S.A.: From the generalized reflection law to the realization of perfect anomalous reflectors. Sci. Adv. 3, e1602714 (2017)
Dong, G., Xia, S., Zhuang, Y., Shi, H., Zhang, Z., He, Y., Zhang, A., Wei, X., Xu, Z.: Wideband polarization-independent anomalous reflection metasurface with multiple resonance modes. J. Adv. Dielectr. 7, 1750010 (2017)
Han, S.K., Wu, C.W., Chen, Z.: Broadband anomalous reflection caused by unsymmetrical specific acoustic impedance in photonic crystals. Mod. Phys. Lett. B 32, 1750357 (2018)
Ho, Y.Z., Cheng, B.H., Hsu, W.-L., Wang, C.-M., Tsai, D.P.: Anomalous reflection from metasurfaces with gradient phase distribution below 2π. Appl. Phys. Express 9, 072502 (2016)
Li, Z., Palacios, E., Butun, S., Aydin, K.: Visible-frequency metasurfaces for broadband anomalous reflection and high-efficiency spectrum splitting. Nano Lett. 15, 1615–1621 (2015)
Li, Y., Zhang, J., Zhang, Y., Chen, H., Fan, Y.: Wideband, co-polarization anomalous reflection metasurface based on low-Q resonators. Appl. Phys. A 122, 851 (2016)
Liang, L., Qi, M., Yang, J., Shen, X., Zhai, J., Xu, W., Jin, B., Liu, W., Feng, Y., Zhang, C., Lu, H., Chen, H.-T., Kang, L., Xu, W., Chen, J., Cui, T.J., Wu, P., Liu, S.: Anomalous terahertz reflection and scattering by flexible and conformal coding metamaterials. Adv. Opt. Mater. 3, 1374–1380 (2015)
Malyughinetz, G.D.: Das Sommerfeldsche Integral und die Lösung von Beugungsaufgaben in Winkelgebieten. Ann. Phys. (Leipzig) 461, 107–112 (1960)
Pu, M., Chen, P., Wang, C., Wang, Y., Zhao, Z., Hu, C., Huang, C., Luo, X.: Broadband anomalous reflection based on gradient low-Q meta-surface. AIP Adv. 3, 052136 (2013)
Pu, M., Li, X., Ma, X., Wang, Y., Zhao, Z., Wang, C., Hu, C., Gao, P., Huang, C., Ren, H., Li, X., Qin, F., Yang, J., Gu, M., Hong, M., Luo, X.: Catenary optics for achromatic generation of perfect optical angular momentum. Sci. Adv. 1, e1500396 (2015)
Senior, T.B.A., Volakis, J.L.: Approximate Boundary Conditions in Electromagnetics. IEE, London (1995)
Shi, H., Li, J., Zhang, A., Jiang, Y., Wang, J., Xu, Z., Xia, S.: Gradient metasurface with both polarization-controlled directional surface wave coupling and anomalous reflection. IEEE Antennas Wirel. Propag. Lett. 14, 104–107 (2015)
Sun, S., Yang, K.-Y., Wang, C.-M., Juan, T.-K., Chen, W.T., Liao, C.Y., He, Q., Xiao, S., Kung, W.-T., Guo, G.-Y., Zhou, L., Tsai, D.P.: High-efficiency broadband anomalous reflection by gradient metasurfaces. Nano Lett. 12, 6223–6229 (2012)
Tsitsas, N.L., Valagiannopoulus, C.A.: Anomalous reflection of visible light by all-dielectric gradient metasurfaces. J. Opt. Soc. Am. B 34, D1–D8 (2017)
Umul, Y.Z.: Scattering by a conductive half-screen between isorefractive media. Appl. Opt. 54, 10309–10313 (2015)
Umul, Y.Z.: Wave diffraction by a reflectionless half-plane. Appl. Opt. 56, 9293–9300 (2017a)
Umul, Y.Z.: Diffraction of line source field by a resistive half-plane between isorefractive media. Opt. Quantum Electron. 49, 23 (2017b)
Wang, J., Jiang, Y.: Gradient metasurface for four-direction anomalous reflection in terahertz. Opt. Commun. 416, 125–129 (2018)
Wang, X., Ding, J., Zheng, B., An, S., Zhai, G., Zhang, H.: Simultaneous realization of anomalous reflection and transmission at two frequencies using bi-functional metasurfaces. Sci. Rep. 8, 1876 (2018)
Wei, Z., Li, H., Wu, C., Cao, Y., Ren, J., Hang, Z., Chen, H., Zhang, D., Chan, C.T.: Anomalous reflection from hybrid metamaterial slab. Opt. Express 18, 12119–12126 (2010)
Wong, A.M.H., Eleftheriades, G.V.: Perfect anomalous reflection with a bipartite Huygens’ metasurface. Phys. Rev. X 8, 011036 (2018)
Yan, L.B., Zhu, W.M., Wu, P.C., Cai, H., Gu, Y.D., Chin, L.K., Shen, Z.X., Chong, P.H.J., Yang, Z.C., Ser, W., Tsai, D.P., Liu, A.Q.: Adaptable metasurface for dynamic anomalous reflection. Appl. Phys. Lett. 110, 201904 (2017)
Yu, N., Genevet, P., Kats, M.A., Aieta, F., Tetienne, J.-P., Capasso, F., Gaburro, Z.: Light propagation with phase discontinuities: generalized laws of reflection and refraction. Science 334, 333–337 (2011)
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Umul, Y.Z. Edge diffraction in an anomalously reflecting half-plane. Opt Quant Electron 50, 334 (2018). https://doi.org/10.1007/s11082-018-1602-1
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DOI: https://doi.org/10.1007/s11082-018-1602-1