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Progress In Electromagnetics Research
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METASURFACE SYNTHESIS FOR TIME-HARMONIC WAVES: EXACT SPECTRAL AND SPATIAL METHODS (Invited Paper)

By M. A. Salem, K. Achouri, and C. Caloz

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Abstract:
Two exact approaches to synthesize metasurfaces for time-harmonic waves are discussed. The first approach is a spectral approach based on wave momentum conservation. Here, the spectral approach is applied to scalar and paraxial wave transformations. This approach effectively allows the arbitrary translation of the transformation plane parallel to the metasurface. The second approach is a direct-space approach based on the extraction of the susceptibility tensors of the metasurface elements. This approach is applied to vectorial field transformation and can be used for single or multiple transformations. An example of wave transformation by a metasurface is illustrated for each of the two approaches.

Citation:
M. A. Salem, K. Achouri, and C. Caloz, "Metasurface Synthesis for Time-Harmonic Waves: Exact Spectral and Spatial Methods (Invited Paper)," Progress In Electromagnetics Research, Vol. 149, 205-216, 2014.
doi:10.2528/PIER14100505
http://www.jpier.org/PIER/pier.php?paper=14100505

References:
1. Holloway, C. L., E. F. Kuester, J. A. Gordon, J. O’Hara, J. Booth, and D. R. Smith, "An overview of the theory and applications of metasurfaces: the two-dimensional equivalents of metamaterials," IEEE Antennas Propag. Mag., Vol. 54, No. 2, 10-35, Apr. 2012.
doi:10.1109/MAP.2012.6230714

2. Holloway, C. L., M. A. Mohamed, E. F. Kuester, and A. Dienstfrey, "Reflection and transmission properties of a metafilm: With an application to a controllable surface composed of resonant particles," IEEE Trans. Electromagn. Compat., Vol. 47, No. 4, 853-865, Nov. 2005.
doi:10.1109/TEMC.2005.853719

3. Yu, N., 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, Vol. 334, No. 6054, 333-337, 2011.
doi:10.1126/science.1210713

4. Pfeiffer, C. and A. Grbic, "Metamaterial Huygens’ surfaces: Tailoring wave fronts with reflectionless sheets," Phys. Rev. Lett., Vol. 110, 197401, May 2013.
doi:10.1103/PhysRevLett.110.197401

5. Niemi, T., A. O. Karilainen, and S. A. Tretyakov, "Synthesis of Polarization Transformers," IEEE Trans. Antennas Propag., Vol. 61, No. 6, 3102-3111, Jun. 2013.
doi:10.1109/TAP.2013.2252136

6. Ra’di, Y., V. S. Asadchy, and S. A. Tretyakov, "Total absorption of electromagnetic waves in ultimately thin layers," IEEE Trans. Antennas Propag., Vol. 61, No. 9, 4606-4614, Sept. 2013.
doi:10.1109/TAP.2013.2271892

7. Shi, H., A. Zhang, S. Zheng, J. Li, and Y. Jiang, "Dual-band polarization angle independent 90o polarization rotator using twisted electric-field-coupled resonators," Appl. Phys. Lett., Vol. 104, No. 3, 2014.
doi:10.1063/1.4863227

8. Kodera, T., D. L. Sounas, and C. Caloz, "Artificial faraday rotation using a ring metamaterial structure without static magnetic field," Appl. Phys. Lett., Vol. 99, No. 3, 2011.
doi:10.1063/1.3615688

9. Sounas, D. L., T. Kodera, and C. Caloz, "Electromagnetic modeling of a magnet-less non-reciprocal gyrotropic metasurface," IEEE Trans. Antennas Propag., Vol. 61, No. 1, 221-231, Jan. 2013.
doi:10.1109/TAP.2012.2214997

10. Salem, M. A. and C. Caloz, "Manipulating light at distance by a metasurface using momentum transformation," Opt. Express, Vol. 22, No. 12, 14 530-14 543, Jun. 2014.
doi:10.1364/OE.22.014530

11. Achouri, K., M. A. Salem, C. Caloz, and , "General metasurface synthesis based on susceptibility tensors,", arXiv:1408.0273, Aug. 2014.

12. Goodman, J. W., Introduction to Fourier Optics, 2nd Edition, McGraw-Hill, New York, NY, 1996.

13. Kotlyar, V. V. and A. A. Kovalev, "Family of hypergeometric laser beams," J. Opt. Soc. Am. A, Vol. 25, No. 1, 262-270, Jan. 2008.
doi:10.1364/JOSAA.25.000262

14. Idemen, M. M., Discontinuities in the Electromagnetic Field, John Wiley & Sons, Hoboken, NJ, 2011.
doi:10.1002/9781118057926

15. Kuester, E. F., M. A.Mohamed, M. Piket-May, and C. L. Holloway, "Averaged transition conditions for electromagnetic fields at a metafilm," IEEE Trans. Antennas Propag., Vol. 51, No. 10, 2641-2651, Oct. 2003.
doi:10.1109/TAP.2003.817560

16. Kong, J. A., Electromagnetic Wave Theory, John Wiley & Sons, New York, NY, 1986.

17. Lindell, I. V., A. H. Sihvola, S. A. Tretyakov, and A. J. Viitanen, Electromagnetic Waves in Chiral and Bi-Isotropic Media, Artech House, Boston, MA, 1994.

18. Grbic, A., L. Jiang, and R. Merlin, "Near-field plates: Subdiffraction focusing with patterned surfaces," Science, Vol. 320, No. 5875, 511-513, 2008.
doi:10.1126/science.1154753

19. Markley, L. and G. V. Eleftheriades, "Meta-screens and near-field antenna-arrays: A new perspective on subwavelength focusing and imaging," Metamaterials, Vol. 5, No. 2-3, 97-106, 2011.
doi:10.1016/j.metmat.2011.03.004

20. Pendry, J. B., "Negative refraction makes a perfect lens," Phys. Rev. Lett., Vol. 85, 3966-3969, Oct. 2000.

21. Strichartz, R. S., A Guide to Distribution Theory and Fourier Transforms, World Scientific, River Edge, NJ, 2003.
doi:10.1142/5314


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