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http://dx.doi.org/10.5370/JEET.2018.13.4.1644

Modal Analysis of Point and Discretized Continuous Spectra for Metal-Insulator-Metal Waveguides in the Terahertz Region  

Hur, Jun (School of Electronic and Electrical Engineering, Hongik University)
Choo, Hosung (School of Electronic and Electrical Engineering, Hongik University)
Park, Jong-Eon (Metamaterial Electronic Device Research Center, Hongik University)
Publication Information
Journal of Electrical Engineering and Technology / v.13, no.4, 2018 , pp. 1644-1654 More about this Journal
Abstract
Eigenvalue distributions for a periodic metal-insulator-metal waveguide, classified into the point spectrum and the discretized continuous spectrum (DCS), are investigated as functions of frequencies, gap widths, and periods. Muller's method is suggested for solving exact eigenvalues, and we propose the scheme for finding proper initial values in the Muller's method by considering only ${\Re}e({\varepsilon}_r)$ in the dispersion equation. We then find that anti-crossing behavior, repulsive effect between the point spectrum and the DCS, becomes stronger when the real parts of the roots in the point spectrum have smaller values. Finally, we examine the transmittances of a single subwavelength slit for real metals using the mode matching technique. The transmittances in real metals similarly follow those of the perfect electric conductor (PEC) at low frequencies, while the patterns at higher frequencies begin to differ from the PEC.
Keywords
Metal-insulator-metal waveguide; Muller's method; Anti-crossing behavior; Mode matching technique; Transmittance;
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1 B. Sturman, E. Podivilov, and M. Gorkunov, "Eigenmodes for metal-dielectric light-transmitting nanostructures," Physical Review B, vol. 76, no. 12, pp. 125104(11), Sept. 2007.   DOI
2 B. Sturman, E. Podivilov, and M. Gorkunov, "Eigenmodes for the problem of extraordinary light transmission through subwavelength holes," EPL, vol. 80, no. 2, pp. 24002(5), Oct. 2007.   DOI
3 B. Sturman, E. Podivilov, and M. Gorkunov, "Theory of extraordinary light transmission through arrays of subwavelength slits," Physical Review B, vol. 77, no. 7, pp. 075106(12), Feb. 2008.   DOI
4 S. E. Kocabas, G. Veronis, D. A. B. Miller, and S. Fan, "Modal analysis and coupling in metal-insulator- metal waveguides," Physical Review B, vol. 79, no. 3, pp. 035120(17), Jan. 2009.   DOI
5 M. Gorkunov, E. Podivilov, and B. Sturman, "Transmission and scattering properties of subwavelength slits in metals," Physical Review B, vol. 83, no. 3, pp. 035414(11), Jan. 2011.   DOI
6 Y. Takakura, "Optical resonance in a narrow slit in a thick metallic screen," Physical Review Letters, vol. 86, no. 24, pp. 5601-5603, Jun. 2001.   DOI
7 F. Yang and J. R. Sambles, "Resonant transmission of microwaves through a narrow metallic slit," Physical Review Letters, vol. 89, no. 6, pp. 063901(3), Jul. 2002.   DOI
8 J. Bravo-Abad, L. Martin-Moreno, and F. J. Garcia-Vidal, "Transmission properties of a single metallic slit: From the subwavelength regime to the geometrical-optics limit," Physical Review E, vol. 69, no. 2, pp. 026601(6), Feb. 2004.   DOI
9 J. -E. Park, K. Y. Kim, and J. -W. Song, "Comparison of mutual coupling phenomena in subwavelength ridged circular apertures and half-wavelength dipole antenna arrays," International journal of antennas and propagation, vol. 2012, pp. 129469(8), Dec. 2012.
10 F. J. Garcia-Vidal, E. Moreno, J. A. Porto, and L. Martin-Moreno, "Transmission of light through a single rectangular hole," Physical Review Letters, vol. 95, no. 10, pp. 103901(4), Aug. 2005.   DOI
11 W. C. Chew, "Waves and Fields in Inhomogeneous Media," Wiley-IEEE, 1999.
12 E. Kreyszig, "Introductory functional analysis with applications," Wiley, New York, 1978.
13 B. Sturman, E. Podivilov, and M. Gorkunov, "Elementary processes of light transformation for slit structures in real and perfect metals," Photonics and Nanostructures - Fundamentals and Applications, vol. 10, no. 4, pp. 409-415, Oct. 2012.   DOI
14 J.-E. Park, F. L. Teixeira, and B.-H. V. Borges, "Analysis of deep-subwavelength Au and Ag slit transmittances at terahertz frequencies," Journal of the Optical Society of America B, vol. 33, no. 7, pp. 1355-1364, Jul. 2016.   DOI
15 C. F. Bohren and D. R. Huffman, "Absorption and scattering of light by small particles," Wiley, New York, 1983.
16 J. Won, S. Jeon, and S. Nam, "Identifying the appropriate position on the ground plane for MIMO antennas using characteristic mode analysis," J Electromagn Eng Sci, vol. 16, no. 2, pp. 119-125, Apr. 2016.   DOI
17 N. Zhang and W. Nah, "Mode analysis of cascaded four-conductor lines using extended mixed-mode S- Parameters," J Electromagn Eng Sci, vol. 16, no. 1, pp. 57-65, Jan. 2016.   DOI
18 J. Locker, "Spectral theory of non-self-adjoint two-point differential operators," American Mathematical Society, Providence, 2000.
19 K. E. Atkinson, "An introduction to numerical analysis," Wiley, 1989.
20 G. Veronis, Z. Yu, S. E. Kocabas, D. A. B. Miller, M. L. Brongersma, and S. Fan, "Metal-dielectric-metal plasmonic waveguide devices for manipulating light at the nanoscale," Chinese Optics Letters, vol. 7, no. 4, pp. 302-308, Apr. 2009.   DOI
21 G. Wang, H. Lu, X. Liu, D. Mao, and L. Duan, "Tunable multi-channel wavelength demultiplexer based on MIM plasmonic nanodisk resonators at telecommunications regime," Optics Express, vol. 19, no. 4, pp. 3513-3518, Feb. 2011.   DOI
22 E. Anemogiannis and E. N. Glytsis, "Multilayer waveguide: Efficient numerical analysis of general structures," Journal of Lightwave Technology, vol. 10, no. 10, pp. 1344-1351, Oct. 1992.   DOI
23 P. Sheng, R. S. Stepleman, and P. N. Sanda, "Exact eigenfunctions for square-wave gratings: Application to diffraction and surface-plasmon calculations," Physical Review B, vol. 26, no. 6, pp. 2907-2916, Sept. 1982.   DOI
24 E. Feigenbaum and M. Orenstein, "Modeling of complementary (void) plasmon waveguiding", Journal of Lightwave Technology, vol. 25, no. 9, pp. 2547- 2562, Sept. 2007.   DOI
25 A. D. Rakic, A. B. Djurisic, J. M. Elazar, and M. L. Majewski, "Optical properties of metallic films for vertical-cavity optoelectronic devices," Applied Optics, vol. 37, no. 22, pp. 5271-5283, Aug. 1998.   DOI
26 R. E. Smith, S. N. Houde-Walter, and G. W. Forbes, "Mode determination for planar waveguides using the four-sheeted dispersion relation," IEEE Journal of Quantum Electronics, vol. 28, no. 6, pp. 1520-1526, Jun. 1992.   DOI
27 Min-Suk Kwon and Sang-Yung Shin, "Simple and fast numerical analysis of multilayer waveguide modes," Optics Communications, vol. 233, no. 1, pp. 119-126, Mar. 2004.   DOI
28 A. Wexler, "Solution of waveguide discontinuities by modal analysis," IEEE Transactions on Microwave Theory and Techniques, vol. 15, no. 9, pp. 508-517, Sept. 1967.   DOI
29 R. Rodriguez-Berral, F. Mesa, and F. Medina, "Appropriate formulation of the characteristic equation for open nonreciprocal layered waveguides with different upper and lower half-spaces," IEEE Transactions on microwave theory and techniques, vol. 53, no. 5, pp. 1613-1623, May 2005.   DOI
30 R. F. Harrington and D. T. Auckland, "Electro-magnetic transmission through narrow slots in thick conducting screens," IEEE Transactions on Antennas and Propagation, vol. 28, no. 5, pp. 616-622, Sept. 1980.   DOI