volume | PIER Journals

Abstract

A new and exact series solution for the scattering and coupling problems by dielectric-loaded multiple slits in a perfectly conducting screen is presented. The case of normal incidence and TM polarization is considered. The scattered and transmitted elds are represented in terms of an innite series of radial modes. By applying the appropriate boundary conditions, the coecients of scattered and transmitted elds are obtained and some numerical results are given.

1. Fang, , X., M. Cao, Y. Zhou, Y. Ben, and S. Qin, "Fine structure in fresnel diffraction patterns and its application in optical measurement," Opt. Laser Technol.,, Vol. 29, 383-387, 1997..
doi:10.1016/S0030-3992(97)00024-8 Google Scholar

2. Smid, , P., P. Horvath, and , "Fresnel diffraction at an opaque strip expressed by means of asymptotic representations of fresnel integrals," J. Opt. Soc. Am. A, Vol. 29, 1071-1077, 2012.
doi:10.1364/JOSAA.29.001071 Google Scholar

3. Khorshad, , A. A., . Hassani, and M. T. Tavassoly, , "Nanometer displacement measurement using Fresnel diffraction," Opt. Laser Technol.,, Vol. 51, 5066-5072, 2012.. Google Scholar

4. Keller, , J. B., , "Diffraction by an aperture," J. Appl. Phys., Vol. 28, 426-444, 1957.
doi:10.1063/1.1722767 Google Scholar

5. Otsuki, , T., , "Reexamination of diffraction problem of a slit by a method of fourier-orthogonal functions transformation," J. Phys. Soc. Jpn., Vol. 41, 2046-2051, , 1976..
doi:10.1143/JPSJ.41.2046 Google Scholar

6. Butler, , C. M., . R. Wilton, and , "General analysis of narrow strips and slots," IEEE Trans. Antenna Propagat., Vol. 28, 42-48, 1980.
doi:10.1109/TAP.1980.1142291 Google Scholar

7. Butler, C. M., Y. Rahmat-Sami, and R. Mittra, "Electromagnetic penetration through apertures in conducting surfaces," IEEE Trans. Antenna Propagat., Vol. 35, 82-93, 1987. Google Scholar

8. Kabalan, K. Y., , K. Y., A. El-Hajj, and R. F. Harrington, "Characteristic mode analysis of a slot in a conducting plane separating different media," IEEE Trans. Antenna Propagat., Vol. 38, 476-481, 1990.
doi:10.1109/8.52265 Google Scholar

9. Yu, , J.-W. and N.-H. Myung, "Scattering by a dielectric-loaded nonplanar slit -- TM case," IEEE Trans. Antenna Propagat., Vol. 46, 598-600, , 1998..
doi:10.1109/8.664128 Google Scholar

10. Otsuki, , T., , "Diffraction by two parallel slits in plane," J. Math. Phys., , Vol. 19, 911-915, 1978.
doi:10.1063/1.523722 Google Scholar

11. El-Hajj, , A., K. Y. Kabalan, and R. F. Harrington, "Characteristic mode analysis of electromagnetic coupling through multiple slots in a conducting plane," IEE Proceeding-H., Vol. 140, 421-425, 1993. Google Scholar

12. Otsuki, T., "Diffraction by multiple slits," J. Opt. Soc. Am. A, Vol. 7, , 646-652, 1990..
doi:10.1364/JOSAA.7.000646 Google Scholar

13. Youn, , S. K., H. J. Eom, and J. W. Lee, , "Scattering from multiple slits in a thick conducting plane," Radio Science,, Vol. 30, 1341-1347, 1995.
doi:10.1029/95RS02111 Google Scholar

14. Sun, , J., D. Zeng, and , "Electromagnetic scattering and absorption by arrays of lossless/lossy metallic or dielectric strips," Journal of Electromagnetic Waves and Applications, , Vol. 19, No. 4, 497-512, 2005.
doi:10.1163/1569393053303956 Google Scholar

15. Arnold, M. D., , "An effcient solution for scattering by a perfectly conducting strip grating," Journal of Electromagnetic Waves and Applications,, Vol. 20, No. 7, 891-900, 2006..
doi:10.1163/156939306776149905 Google Scholar

16. Kalhor, H. A., M. R. Zunoubi, and , "Modeling optical transmission spectra of periodic narrow slit arrays in thick metal films and their correlation with those of individual slits," Journal of Electromagnetic Waves and Applications, Vol. 55, No. 10, 1639-1647, 2008. Google Scholar

17. Ghazi, G., M. Shahabadi, and , "Modal analysis of extraordinary transmission through an array of subwavelength slits," Progress In Electromagnetics Research, Vol. 79, 59-74, 2008.
doi:10.2528/PIER07092402 Google Scholar

18. Fu, , Y., K. Li, and F. M. Kong, , "Analysis of the optical transmission through the metal plate with slit array," Progress In Electromagnetics Research, Vol. 82, 109-125, 2008.
doi:10.2528/PIER08022013 Google Scholar

19. Muhn, , S. J., W. S. Park, and , "Electromagnetic transmission through periodic narrow slit with a finite thickness," Journal of Electromagnetic Waves and Applications, Vol. 25, No. 14--15, 1930-1939, , 2012. Google Scholar

20. Balaji, , U., R. Vahldieck, and , "Radial mode matching analysis ofridged circular waveguides," IEEE Trans. Microwave Theory and Tech., Vol. 44, 1183-1186, 1996..
doi:10.1109/22.508660 Google Scholar

21. Balanis, C. A., "Advanced Engineering Electromagnetics," Wiley,, 1989. Google Scholar

2. Stratton, , J. A., "Electromagnetic Theory," IEEE Press, Wiley,, 2007. Google Scholar

Mr. Dong-Jin Lee

Miss Soo-Ji Lee

Mr. Won-Seok Lee

Prof. Jong-Won Yu