volume | PIER Journals

Abstract

This article presents millimeter wavelength measurements of the mass normalized extinction cross section (extinction efficiency) of thin copper circular discs at broadside incidence. The extinction efficiencies of the discs were measured as a function of diameter and thickness at a fixed frequency of 35 GHz. The measurements cover a wide range of diameters and thicknesses and were compared with the approximate numerical solution of the problem provided by the CWW code. A good agreement between the measurements and CWW code was achieved after applying the extinction paradox for small particles with high index of refraction to the CWW code calculations.

1. Willis, Thomas M. and Herschel Weil, "Disk scattering and absorption by an improved computational method," Applied Optics, Vol. 26, No. 18, 3987-3995, 1987.

2. Hanarp, Per, Mikael Käll, and Duncan S. Sutherland, "Optical properties of short range ordered arrays of nanometer gold disks prepared by colloidal lithography," The Journal of Physical Chemistry B, Vol. 107, No. 24, 5768-5772, 2003.

3. Li, Na, Qiao Zhang, Sean Quinlivan, James Goebl, Yang Gan, and Yadong Yin, "H$_2$O$_2$-aided seed-mediated synthesis of silver nanoplates with improved yield and efficiency," Chem. Phys. Chem., Vol. 13, No. 10, 2526-2530, 2012.

4. Langhammer, Christoph, Zhe Yuan, Igor Zorić, and Bengt Kasemo, "Plasmonic properties of supported Pt and Pd nanostructures," Nano Letters, Vol. 6, No. 4, 833-838, 2006.

5. Anquillare, Emma L., Owen D. Miller, Chia Wei Hsu, Brendan G. DeLacy, John D. Joannopoulos, S. G. Johnson, and M. Soljačić, "Efficient, designable, and broad-bandwidth optical extinction via aspect-ratio-tailored silver nanodisks," Optics Express, Vol. 24, No. 10, 10806-10816, 2016.

6. Shepherd, J. W. and A. R. Holt, "The scattering of electromagnetic radiation from finite dielectric circular cylinders," Journal of Physics A: Mathematical and General, Vol. 16, No. 3, 651, 1983.

7. DeVore, R., D. B. Hodge, and R. G. Kouyoumjian, "Backscattering cross sections of circular disks for arbitrary incidence," Journal of Applied Physics, Vol. 42, No. 8, 3075-3083, 1971.

8. Le Vine, D., A. Schneider, Roger Lang, and H. Carter, "Scattering from thin dielectric disks," IEEE Transactions on Antennas and Propagation, Vol. 33, No. 12, 1410-1413, 1985.

9. Venner, Marty J. and Charles W. Bruce, "Absorption cross section of moderately conducting disks at 35 GHz," Applied Optics, Vol. 37, No. 30, 7143-7150, 1998.

10. Alyones, Sharhabeel, Charles W. Bruce, and Michael Granado, "Anomalous extinction efficiency of two dimensional particles in the visible," Progress In Electromagnetics Research M, Vol. 88, 45-52, 2020.

11. Bohren, Craig F. and Donald R. Huffman, Absorption and Scattering of Light by Small Particles, John Wiley & Sons, 2008.

12. Born, M. and E. Wold, Principles of Optics, Cambridge University Press, 1999.

13. Van de Hulst, Hendrik C., Light Scattering by Small Particles, John Wiley and Sons, 1957.

14. Berg, Matthew J., C. M. Sorensen, and A. Chakrabarti, "A new explanation of the extinction paradox," Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 112, No. 7, 1170-1181, 2011.

15. Bruce, Charles W., Al V. Jelinek, Sheng Wu, Sharhabeel Alyones, and Qingsong Wang, "Millimeter-wavelength investigation of fibrous aerosol absorption and scattering properties," Applied Optics, Vol. 43, No. 36, 6648-6655, 2004.

Professor Charles W. Bruce

Dr. Sharhabeel Alyones