Efficient Analysis of Plasmonic circuits using Differential Global Surface Impedance (DGSI) Model

Document Type : Research Article


1 دانشکده مهندسی برق و کامپیوتر، پردیس دانشکده های فنی، دانشگاه تهران

2 Tehran


Differential global surface impedance (DGSI) model, a rigorous approach, has been applied to the analysis of three dimensional plasmonic circuits. This model gives a global relation between the tangential electric field and the equivalent surface electric current on the boundary of an object. This approach helps one bring the unknowns to the boundary surface of an object and so avoid volumetric discretization. It also eliminates the need for equivalent surface magnetic current consideration. Therefore, there is no need to evaluate the rather complex integral operator related to this current. This will result in a great reduction in computation time and memory resources. On the other hand, due to small field variations along the longitudinal direction of each boundary segment, it is suggested to use the two dimensional DGSI matrix in the analysis of a three dimensional plasmonic circuit. This leads to a much simpler formulation of the DGSI model. Besides, our numerical results verify that this simplifying assumption will not greatly affect the accuracy of the analysis. Plasmonic waveguides with different thicknesses along with a line coupler have been analyzed. The results are verified with the results of a commercial software as well as global surface impedance (GSI) model previously presented in the literature.


Main Subjects

[1]     R. Sinha and R. Bhattacharyya, "Analysis and design of hybrid ARROW-B plasmonic waveguides," JOSA A, vol. 30, pp. 1502-1507, 2013.
[2]     J. Stokes, A. Sarua, J. Pugh, N. Dorh, J. Munns, P. Bassindale, et al., "Purcell enhancement and focusing effects in plasmonic nanoantenna arrays," JOSA B, vol. 32, pp. 2158-2163, 2015.
[3]     J. P. Kottmann and O. J. Martin, "Accurate solution of the volume integral equation for high-permittivity scatterers," IEEE Transactions on Antennas and Propagation, vol. 48, pp. 1719-1726, 2000.
[4]     T. B. Senior and J. L. Volakis, Approximate boundary conditions in electromagnetics: Iet, 1995.
[5]     M. Al-Qedra, J. Aronsson, and V. Okhmatovski, "A Novel Skin-Effect Based Surface Impedance Formulation for Broadband Modeling of 3-D Interconnects With Electric Field Integral Equation," Microwave Theory and Techniques, IEEE Transactions on, vol. 58, pp. 3872-3881, 2010.
[6]     D. De Zutter and L. Knockaert, "Skin Effect Modeling Based on a Differential Surface Admittance Operator," Microwave Theory and Techniques, IEEE Transactions on, vol. 53, pp. 2526-2538, 2005.
[7]     K. M. Coperich, A. E. Ruehli, and A. Cangellaris, "Enhanced skin effect for partial-element equivalent-circuit (PEEC) models," Microwave Theory and Techniques, IEEE Transactions on, vol. 48, pp. 1435-1442, 2000.
[8]     H. Ameri and R. Faraji-Dana, "Analysis of 3D plasmonic circuits by using surface impedance models," J. Opt. Soc. Am. A (JOSA A), vol. 35, pp. 179-188, 2018.
[9]     S. He, W. E. Sha, L. Jiang, W. C. Choy, W. C. Chew, and Z. Nie, "Finite-Element-Based Generalized Impedance Boundary Condition for Modeling Plasmonic Nanostructures," Nanotechnology, IEEE Transactions on, vol. 11, pp. 336-345, 2012.
[10]   R. F. Harrington, Time-Harmonic Electromagnetic Fields: Wiley, 2001.
[11]   H. Ameri and R. Faraji-Dana, "Differential global surface impedance (DGSI): a rigorous model for analyzing periodic structures," JOSA B, vol. 34, pp. 930-936, 2017.
[12]   R. F. Harrington, Field Computation by Moment Methods: Oxford University Press, USA, 1993.
[13]   H. Ameri and R. Faraji-Dana, "Analysis of 3D plasmonic circuits by using surface impedance models," JOSA A, vol. 35, pp. 179-188, 2018.
[14]   J. R. Mosig and F. E. Gardiol, "A dynamical radiation model for microstrip structures," Advances in electronics and electron physics, vol. 59, pp. 139-237, 1982.