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2012-08-23
3D Printing of Anisotropic Metamaterials
By
Progress In Electromagnetics Research Letters, Vol. 34, 75-82, 2012
Abstract
Material properties in radio frequency and microwave regimes are limited due to the lack of molecular resonances at these frequencies. Metamaterials are an attractive means to realize a prescribed permittivity or permeability function, but these are often prohibitively lossy due to the use of inefficient metallic resonators. All-dielectric metamaterials offer excellent potential to overcome these losses, but they provide a much weaker interaction with an applied wave. Much design freedom can be realized from all-dielectric structures if their dispersion and anisotropy are cleverly engineered. This, however, leads to structures with very complex geometries that cannot be manufactured by conventional techniques. In this work, artificially anisotropic metamaterials are designed and then manufactured by 3D printing. The effective material properties are measured in the lab and agree well with model predictions.
Citation
Cesar R. Garcia, Jesus Correa, David Espalin, Jay H. Barton, Raymond C. Rumpf, Ryan Wicker, and Virgilio Gonzalez, "3D Printing of Anisotropic Metamaterials," Progress In Electromagnetics Research Letters, Vol. 34, 75-82, 2012.
doi:10.2528/PIERL12070311
References

1. Ramakrishna, S. A. and T. M. Grzegorczyk, Negative Refractive Index Materials, SPIE Press, Washington, 2009.

2. Kosaka, H., et al., "Superprism phenomena in photonic crystals," Physical Review B, Vol. 58, No. 16, R10096-R10099, 1998.
doi:10.1103/PhysRevB.58.R10096

3. Pendry, J. B., "Negative refraction makes a perfect lens," Physical Review Letters, Vol. 85, No. 18, 3966-3969, 2000.
doi:10.1103/PhysRevLett.85.3966

4. Shelby, R. A., D. R. Smith, and S. Schultz, "Experimental verification of a negative index of refraction," Science, Vol. 292, No. 5514, 77-79, 2001.
doi:10.1126/science.1058847

5. Smith, D. R. N. Kroll, "Negative refractive index in left-handed materials," Physical Review Letters, Vol. 85, No. 14, 2933-2936, 2000.
doi:10.1103/PhysRevLett.85.2933

6. Viktor, G. V., "The electrodynamics of substances with simultaneously negative values of ε and μ," Soviet Physics Uspekhi, Vol. 10, No. 4, 509, 1968.
doi:10.1070/PU1968v010n04ABEH003699

7. Enoch, S., et al. A metamaterial for directive emission, Vol. 89, No. 21, 213902, Physical Review Letters, 2002.

8. Genereux, F., et al. "Large birefringence in two-dimensional silicon photonic crystals," Physical Review B, Vol. 63, No. 16, 161101, 2001.
doi:10.1103/PhysRevB.63.161101

9. Grann, E. B., M. Moharam, and D. A. Pommet, "Artificial uniaxial and biaxial dielectrics with use of two-dimensional subwavelength binary gratings," JOSA A, Vol. 11, No. 10, 2695-2703, 1994.
doi:10.1364/JOSAA.11.002695

10. Halevi, P., A. A. Krokhin, and J. Arriaga, "Photonic crystal optics and homogenization of 2D periodic composites," Physical Review Letters, Vol. 82, No. 4, 719-722, 1999.
doi:10.1103/PhysRevLett.82.719

11. Smith, D. R., et al. "Design and measurement of anisotropic metamaterials that exhibit negative refraction," IEICE Transactions on Electronics E Series C, Vol. 87, No. 3, 359-370, 2004.

12. Rotman, W., "Plasma simulation by artificial dielectrics and parallel-plate media," IRE Transactions on Antennas and Propagation, Vol. 10, No. 1, 82-95, 1962.
doi:10.1109/TAP.1962.1137809

13. Pendry, J., et al. "Magnetism from conductors and enhanced nonlinear phenomena," IEEE Transactions on Microwave Theory and Techniques, Vol. 47, No. 11, 2075-2084, 1999.
doi:10.1109/22.798002

14. Soukoulis, C. M. and M. Wegener, "Optical metamaterials --- Optical metamaterials," Science, Vol. 330, No. 6011, 1633, 2010.
doi:10.1126/science.1198858

15. Hao, J., et al. "Manipulating electromagnetic wave polarizations by anisotropic metamaterials," Physical Review Letters, Vol. 99, No. 6, 63908, 2007.
doi:10.1103/PhysRevLett.99.063908

16. Gaillot, D. P., C. Croenne, and D. Lippens, "An all-dielectric route for terahertz cloaking," Opt. Express, Vol. 16, No. 6, 3986-3992, 2008.
doi:10.1364/OE.16.003986

17. Mehta, A., et al. "Spatially polarizing autocloned elements," Optics Letters, Vol. 32, No. 13, 1935-1937, 2007.
doi:10.1364/OL.32.001935

18. Kukhtarev, N., "Wavefront reversal of optical beams in anisotropic media," Quantum Electronics, Vol. 11, No. 7, 878-883, 1981.
doi:10.1070/QE1981v011n07ABEH007253

19. Leung, K. and Y. Liu, "Photon band structures: The plane-wave method," Physical Review B, Vol. 41, No. 14, 10188, 1990.
doi:10.1103/PhysRevB.41.10188

20. Datta, S., et al. "Effective dielectric constant of periodic composite structures," Physical Review B, Vol. 48, No. 20, 14936-14943, 1993.
doi:10.1103/PhysRevB.48.14936

21. Krokhin, A. A., P. Halevi, and J. Arriaga, "Long-wavelength limit (homogenization) for two-dimensional photonic crystals," Physical Review B, Vol. 65, No. 11, 115208, 2002.
doi:10.1103/PhysRevB.65.115208

22. Gibson, I., D. W. Rosen, and B. Stucker, Additive Manufacturing Technologies, Rapid Prototyping to Direct Digital Manufacturing, Springer, , 2010.

23. Nicolson, A. M. and G. F. Ross, "Measurement of the intrinsic properties of materials by time-domain techniques," IEEE Transactions on Instrumentation and Measurement, Vol. 19, No. 4, 377-382, 1970.
doi:10.1109/TIM.1970.4313932