Spectral and angular characteristics of dielectric resonator metasurface at optical frequencies

Longfang  Zou; Martin  López-García; Withawat  Withayachumnankul; Charan M.  Shah; Arnan  Mitchell; Madhu  Bhaskaran; Sharath  Sriram; Ruth  Oulton; Maciej  Klemm; Christophe  Fumeaux

doi:10.1063/1.4901735

Abstract

The capability of manipulating light at subwavelength scale has fostered the applications of flat metasurfaces in various fields. Compared to metallic structure, metasurfaces made of high permittivity low-loss dielectric resonators hold the promise of high efficiency by avoiding high conductive losses of metals at optical frequencies. This letter investigates the spectral and angular characteristics of a dielectric resonator metasurface composed of periodic sub-arrays of resonators with a linearly varying phase response. The far-field response of the metasurface can be decomposed into the response of a single grating element (sub-array) and the grating arrangement response. The analysis also reveals that coupling between resonators has a non-negligible impact on the angular response. Over a wide wavelength range, the simulated and measured angular characteristics of the metasurface provide a definite illustration of how different grating diffraction orders can be selectively suppressed or enhanced through antenna sub-array design.

References

1. N. Yu and F. Capasso, “ Flat optics with designer metasurfaces,” Nat. Mater. 13, 139–150 (2014). https://doi.org/10.1038/nmat3839, Google ScholarCrossref, CAS
2. C. Pfeiffer and A. Grbic, “ Millimeter-wave transmitarrays for wavefront and polarization control,” IEEE Trans. Microwave Theory Tech. 61, 4407–4417 (2013). https://doi.org/10.1109/TMTT.2013.2287173, , Google ScholarCrossref
3. D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, “ Metamaterial electromagnetic cloak at microwave frequencies,” Science 314, 977–980 (2006). https://doi.org/10.1126/science.1133628, , Google ScholarCrossref, CAS
4. C. Holloway, E. F. Kuester, J. Gordon, J. O'Hara, J. Booth, and D. Smith, “ An overview of the theory and applications of metasurfaces: The two-dimensional equivalents of metamaterials,” IEEE Antennas Propag. Mag. 54, 10–35 (2012). https://doi.org/10.1109/MAP.2012.6230714, , Google ScholarCrossref
5. A. V. Kildishev, A. Boltasseva, and V. M. Shalaev, “ Planar photonics with metasurfaces,” Science 339, 1232009 (2013) https://doi.org/10.1126/science.1232009. , Google ScholarCrossref
6. J. Huang and J. Encinar, Reflectarray Antennas ( Wiley-IEEE Press, 2007). , Google ScholarCrossref
7. L. Zou, W. Withayachumnankul, C. Shah, A. Mitchell, M. Klemm, M. Bhaskaran, S. Sriram, and C. Fumeaux, “ Efficiency and scalability of dielectric resonator antennas at optical frequencies,” IEEE Photonics J. 6, 1–10 (2014). https://doi.org/10.1109/JPHOT.2014.2363424, , Google ScholarCrossref
8. I. Staude, A. E. Miroshnichenko, M. Decker, N. T. Fofang, S. Liu, E. Gonzales, J. Dominguez, T. S. Luk, D. N. Neshev, I. Brener, and Y. Kivshar, “ Tailoring directional scattering through magnetic and electric resonances in subwavelength silicon nanodisks,” Nano Lett. 7, 7824–7832 (2013) https://doi.org/10.1021/nn402736f. , Google ScholarCrossref, CAS
9. F. Bigourdan, F. Marquier, J.-P. Hugonin, and J.-J. Greffet, “ Design of highly efficient metallo-dielectric patch antennas for single-photon emission,” Opt. Express 22, 2337–2347 (2014). https://doi.org/10.1364/OE.22.002337, , Google ScholarCrossref, CAS
10. L. Zou, W. Withayachumnankul, C. Shah, A. Mitchell, M. Bhaskaran, S. Sriram, and C. Fumeaux, “ Dielectric resonator nanoantennas at visible frequencies,” Opt. Express 21, 1344–1352 (2013). https://doi.org/10.1364/OE.21.001344, , Google ScholarCrossref
11. D. S. Filonov, A. E. Krasnok, A. P. Slobozhanyuk, P. V. Kapitanova, E. A. Nenasheva, Y. S. Kivshar, and P. A. Belov, “ Experimental verification of the concept of all-dielectric nanoantennas,” Appl. Phys. Lett. 100, 201113 (2012). https://doi.org/10.1063/1.4719209, , Google ScholarScitation
12. J. van de Groep and A. Polman, “ Designing dielectric resonators on substrates: Combining magnetic and electric resonances,” Opt. Express 21, 26285–26302 (2013). https://doi.org/10.1364/OE.21.026285, , Google ScholarCrossref, CAS
13. J. C. Ginn, I. Brener, D. W. Peters, J. R. Wendt, J. O. Stevens, P. F. Hines, L. I. Basilio, L. K. Warne, J. F. Ihlefeld, P. G. Clem, and M. B. Sinclair, “ Realizing optical magnetism from dielectric metamaterials,” Phys. Rev. Lett. 108, 097402 (2012). https://doi.org/10.1103/PhysRevLett.108.097402, , Google ScholarCrossref
14. Y. Yang, W. Wang, P. Moitra, I. I. Kravchenko, D. P. Briggs, and J. Valentine, “ Dielectric meta-reflectarray for broadband linear polarization conversion and optical vortex generation,” Nano Lett. 14, 1394–1399 (2014). https://doi.org/10.1021/nl4044482, , Google ScholarCrossref, CAS
15. L. Zou, M. Cryan, and M. Klemm, “ Phase change material based tunable reflectarray for free-space optical inter/intra chip interconnects,” Opt. Express 22, 24142–24148 (2014). https://doi.org/10.1364/OE.22.024142, , Google ScholarCrossref, CAS
16. S. Larouche and D. R. Smith, “ Reconciliation of generalized refraction with diffraction theory,” Opt. Lett. 37, 2391–2393 (2012). https://doi.org/10.1364/OL.37.002391, , Google ScholarCrossref
17. T. Niu, W. Withayachumnankul, B. S.-Y. Ung, H. Menekse, M. Bhaskaran, S. Sriram, and C. Fumeaux, “ Experimental demonstration of reflectarray antennas at terahertz frequencies,” Opt. Express 21, 2875–2889 (2013). https://doi.org/10.1364/OE.21.002875, , Google ScholarCrossref
18. K. M. Luk and K. W. Leung, Dielectric Resonator Antennas ( Research Studies Press Ltd. England, 2003). , Google Scholar
19. C. Balanis, Antenna Theory: Analysis and Design, 3rd ed. ( Wiley, 2005). Google Scholar
20. M. López-García, J. F. Galisteo-López, A. Blanco, J. Sánchez-Marcos, C. López, and A. García-Martín, “ Enhancement and directionality of spontaneous emission in hybrid self-assembled photonic-plasmonic crystals,” Small 6, 1757–1761 (2010). https://doi.org/10.1002/smll.201000216, Google ScholarCrossref, CAS
21. Q. Lai, G. Almpanis, C. Fumeaux, H. Benedickter, and R. Vahldieck, “ Comparison of the radiation efficiency for the dielectric resonator antenna and the microstrip antenna at Ka band,” IEEE Trans. Antennas Propag. 56, 3589–3592 (2008). https://doi.org/10.1109/TAP.2008.2005551, , Google ScholarCrossref
22. C. Pfeiffer, N. K. Emani, A. M. Shaltout, A. Boltasseva, V. M. Shalaev, and A. Grbic, “ Efficient light bending with isotropic metamaterial Huygens surfaces,” Nano Lett. 14, 2491–2497 (2014). https://doi.org/10.1021/nl5001746, , Google ScholarCrossref, CAS
23. S. Sun, K.-Y. Yang, C.-M. Wang, T.-K. Juan, W. T. Chen, C. Y. Liao, Q. He, S. Xiao, W.-T. Kung, G.-Y. Guo, L. Zhou, and D. P. Tsai, “ High-efficiency broadband anomalous reflection by gradient meta-surfaces,” Nano Lett. 12, 6223–6229 (2012). https://doi.org/10.1021/nl3032668, , Google ScholarCrossref, CAS
24. N. Yu, P. Genevet, M. A. Kats, F. Aieta, J.-P. Tetienne, F. Capasso, and Z. Gaburro, “ Light propagation with phase discontinuities: Generalized laws of reflection and refraction,” Science 334, 333–337 (2011). https://doi.org/10.1126/science.1210713, , Google ScholarCrossref, CAS
25. C. Fumeaux, G. Almpanis, K. Sankaran, D. Baumann, and R. Vahldieck, “ Finite-volume time-domain modeling of the mutual coupling between dielectric resonator antennas in array configurations,” in The Second European Conference on Antennas and Propagation (2007), pp. 1–4. , Google ScholarCrossref