Time-domain simulation for plasmonic devices

Er-Ping Li; Hong-Son Chu

doi:10.1017/CBO9781139208802.005

4 - Time-domain simulation for plasmonic devices

Published online by Cambridge University Press: 05 March 2014

Er-Ping Li and

Hong-Son Chu

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Er-Ping Li: Affiliation:
A*STAR Institute of High Performance Computing, Singapore
Hong-Son Chu: Affiliation:
A*STAR Institute of High Performance Computing, Singapore

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Summary

In this chapter, the finite-difference time-domain method (FDTD) is developed and implemented for the modeling and simulation of passive and active plasmonic devices. For the simulation of passive devices, the Lorentz–Drude (LD) dispersive model is incorporated into the time-dependent Maxwell equations. For the simulation of active plasmonics, a hybrid approach, which combines the multilevel multi-electron quantum model (to simulate the solid state part of a structure) and the LD dispersive model (to simulate the metallic part of the structure), is used. In addition, the multilevel multi-electron quantum mode (solid-state model) is modified to simulate the semiconductor plasmonics. For numerical results, the methodologies developed here are applied to simulate nanoparticles, metal–semiconductor–metal (MSM) waveguides, microcavity resonators, spasers, and surface plasmon polariton (SPP) extraction from spaser. To enhance the simulation speed, graphics processing units (GPUs) are used for the computation, and, as an example, an application of a passive plasmonic device is examined.

Introduction

The diffraction limit was a challenge in the miniaturization of photonics devices, which restricted the minimum size of a component to being equivalent to λ/2. The new emerging ield of plasmonics has recently made it possible to overcome the diffraction limit of photonic devices. In plasmonics, the wave propagates at the interface of a metal and dielectric, and remains bounded. This feature allows the miniaturization of photonics devices below the diffraction limit. Some plasmonic structures, which guide and manipulate the electromagnetic signals, have been presented in the literature [1–7].

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Type: Chapter
Information: Plasmonic Nanoelectronics and Sensing , pp. 99 - 138
DOI: https://doi.org/10.1017/CBO9781139208802.005 [Opens in a new window]
Publisher: Cambridge University Press
Print publication year: 2014

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References

[1] S. A., Maier, Plasmonics: Fundamentals and Applications. Berlin: Springer-Verlag, 2007.

[2] M. L., Brongersma and P. G., Kik, Surface Plasmon Nanophotonics. Dordrecht: Springer, 2007.

[3] I., Ahmed, C. E., Png, E. P., Li, and R., Vahldieck, “Electromagnetic propagation in a novel Ag nanoparticle based plasmonic structure,” Opt. Express, vol. 17, pp. 337–345, 2009.Google Scholar

[4] K. F., MacDonald, Z. L., Samson, M. I., Stockman, and N. I., Zheludev, “Ultrafast active plasmonics,” Nature Photonics, vol. 3, pp. 55–58, 2009.Google Scholar

[5] A. V., Krasavin and A. V., Zayats, “Three-dimensional numerical modeling of photonics integration with dielectric loaded SPP waveguides,” Phys. Rev. B., vol. 78, 045425 (8 pp.), 2008.Google Scholar

[6] J. A., Dionne, K., Diest, L. A., Sweatlock, and H. A., Atwater, “Plas-MOStor: Ametal–oxide–Si field effect plasmonic modulator,” Nano Lett., vol. 9, pp. 897–902, 2009.Google Scholar

[7] M. T., Hill, Y.-S., Oei, B., Smalbruggeetal., “Lasing in metal–insulator–metal sub-wavelength plasmonic waveguides,” Opt. Express, vol. 17, pp. 11107–11112, 2009.Google Scholar

[8] Y., Huang and S. T., Ho, “Computational model of solid state, molecular, or atomic media for FDTD simulation based on a multi-level multi-electron system governed by Pauli exclusion and Fermi–Dirac thermalization with application to semiconductor photonics,” Opt. Express, vol. 14, pp. 3569–3587, 2006.Google Scholar

[9] E. H., Khoo, I., Ahmed and E. P., Li, “Enhancement of light energy extraction from elliptical microcavity using external magnetic field for switching applications,” Appl. Phys. Lett., vol. 95, 121104–121106, 2009.Google Scholar

[10] E. H., Khoo, S. T., Ho, I., Ahmed, E. P., Li, and Y., Huang, “Light energy extraction from the minor surface arc of an electrically pumped elliptical microcavity laser,” IEEE J. Quant. Electron., vol. 46, pp. 128–136, 2010.Google Scholar

[11] Y., Huang and S. T., Ho, “Simulation of electrically-pumped nanophotonic lasers using dynamical semiconductor medium FDTD method,” in 2nd IEEE International INEC, pp. 202–205, 2008.

[12] D., Rakic, A. B., Djurisic, J. M., Elazar, and M. L., Majewski, “Optical properties of metallic films for vertical-cavity optoelectronic devices,” Appl. Optics, vol. 37, pp. 5271–5283, 1998.Google Scholar

[13] I., Ahmed, E. P., Li, and E. H., Khoo, “Interactions between magnetic and non-magnetic materials for plasmonics,” in International Conference on Materials and Advanced Technologies, Singapore, 2009.

[14] A., Taflove, Computational Electrodynamics, Norwood, MA: Artech House, 2005.

[15] I., Ahmed, E. H., Khoo, E. P., Li, and R., Mittra, “A hybrid approach for solving coupled Maxwell and Schrodinger equations arising in the simulation of nano-devices,” IEEE Antennas Wireless Propagation Lett., vol. 9, pp. 914–917, 2010.Google Scholar

[16] I., Ahmed, E., Khoo, O., Kurniawan, and E., Li, “Modeling and simulation of active plasmonics with the FDTD method by using solid state and Lorentz–Drude dispersive model,” J. Opt. Soc. Am. B, vol. 28, pp. 352–359, 2011.Google Scholar

[17] O., Kurniawan, I., Ahmed, and E. P., Li, “Development of a plasmonics source based on nano-antenna concept for nano-photonics applications,” IEEE Photonics J., vol. 3, pp. 344–352, 2011.Google Scholar

[18] K. J., Willis, J. S., Ayubi-Moak, S. C., Hagness, and I., Knezevic, “Global modeling of carrier-field dynamics in semiconductor using EMC-FDTD,” J. Comput. Electron., vol. 8, pp. 153–171, 2009.Google Scholar

[19] I., Ahmed and E. P., Li, “Simulation of plasmonics nanodevices using coupled Maxwell and Schrodinger equations using the FDTD method,” J. Adv. Electromagn., vol. 1, pp. 76–83, 2012.Google Scholar

[20] E. H., Khoo, I., Ahmed, and E. P., Li, “Investigation of the light energy extraction efficiency using surface modes in electrically pumped semiconductor microcavity,” Proc. SPIE, vol. 7764B, doi:10.1117/12.860618, 2010.Google Scholar

[21] K. H., Lee, I., Ahmed, R. S. M., Gohet al., “Implementation of the FDTD method based on Lorentz–Drude model on GPU for plasmonics applications,” Prog. Electromagn. Res., vol. 116, pp. 441–456, 2011.Google Scholar

[22] I., Ahmed, and E. P., Li, “Time domain simulation of dispersive materials from microwave to optical frequencies,” in IEEE International Conference on Emerging Technologies, 2011.

[23] D. J., Bergman and M. I., Stockman, “Surface plasmon amplification by stimulated emission of radiation: Quantum generation of coherent surface plasmons in nanosystems,” Phys. Rev. Lett., vol. 90, 027402, 2003.Google Scholar

[24] A. V., Akimov, A., Mukherjee, C. L., Yuet al., “Generation of single optical plasmons in metallic nanowires coupled to quantum dots,” Nature, vol. 450, pp. 402–406, 2007.Google Scholar

[25] D., Koller, A., Hohenau, H., Ditlbacheret al., “Organic plasmon-emitting diode,” Nature Photonics, vol. 2, pp. 684–687, 2008.Google Scholar

[26] R. J., Walters, R. V. A., van Loon, I., Brunets, J., Schmitz, and A., Polman, “A silicon-based electrical source of surface plasmon polaritons,” Nature Mater., vol. 9, pp. 21–25, 2010.Google Scholar

[27] M., Kuttge, F. J. García, de Abajo, and A., Polman, “Ultrasmall mode volume plasmonic nanodisk resonators,” Nano Lett., vol. 10, pp. 1537–1541, 2010.Google Scholar

[28] C., Walther, G., Scalari, M. I., Amanti, M., Beck, and J., Faist, “Microcavity laser oscillating in a circuit-based resonator,” Science, vol. 327, pp. 1495–1497, 2010.Google Scholar

[29] Y. H., Chen and L. J., Guo, “Analysis of surface plasmon guided sub-wavelength microdisk cavity,” Proc. IEEE LEOS, pp. 320–321, 2008.

[30] M., Kim, P., Ku, and J., Guo, “Surface plasmon enabled sub-wavelength nano-cavity laser,” Proc. IEEE LEOS, pp. 252–253, 2007.

[31] R., Perahia, T. P. M., Alegre, A. H., Safavi-Naeini, and O., Painter, “Surface-plasmon mode hybridization in subwavelength microdisk lasers,” Appl. Phys. Lett., vol. 95, 201114 (3 pp.), 2009.Google Scholar

[32] R. K., Chang and A. J., Campillo, Optical Processes in Microcavities. Singapore: World Scientific, 1996.

[33] E., Hall, “On anew action of the magnet on electric currents,” Am. J. Math., vol. 2, 287–292, 1879.Google Scholar

[34] S., Kasap, Hall Effect in Semiconductors, e-booklet, http://kasap3.usask.ca/samples/HallEffectSemicon.pdf, 1990–2001.

[35] N. A., Sinitsyn, “Semiclassical theories of the anomalous Hall effect,” J. Phys.: Condens. Matter, vol. 20, 023201, 2008.Google Scholar

[36] K., Okamoto, A., Scherer, and Y., Kawakami, “Surface plasmon enhanced light emission from semiconductor materials,” Phys. Stat. Sol. C, vol. 5, pp. 2822–2824, 2008.Google Scholar

[37] J. Y., Lee, J. Z., Xue, W. J., Park, and A., Mickelson, “Surface plasmon polariton waveguides in nonlinear optical polymer”, ACS Symp. Series, vol. 1069, pp. 67–83, 2010.Google Scholar

[38] J. D., Jackson, Classical Electrodynamics. New York: John Wiley & Sons, 1998.

[39] O., Darrigol, Electrodynamics from Ampere to Einstein. Oxford: Oxford University Press, 2000.

[40] L. D., Landau and E. M., Lifshitz, Quantum Mechanics: Nonrelativistic Theory. Oxford: Pergamon Press, 1977.

[41] H., Aoki and T., Ando, “Critical localization in two-dimensional Landau quantization,” Phys. Rev. Lett., vol. 54, pp. 831–834, 1985.Google Scholar

[42] G., Goubau, “Surface waves and their applications to transmission lines,” J. Appl. Phys., vol. 21, pp. 1119–1128, 1950.Google Scholar

[43] A., Sommerfeld, “Propagation of waves in wireless telegraphy,” Ann. Phys., vol. 81, pp. 1367–1153, 1926.Google Scholar

[44] S., Cho and N. M., Jokerst, “A polymer microdisk photonic sensor integrated onto silicon,” IEEE Photonics Tech. Lett., vol. 18, pp. 2096–2098, 2006.Google Scholar

[45] B. E., Little, J. S., Foresi, G., Steinmeyeret al., “Ultra-compact Si–SiO2 microring resonator optical channel dropping filter,” IEEE Photonics Tech. Lett. vol. 10, pp. 549–551, 1998.Google Scholar

[46] C., Maxfield, The Design Warrior's Guide to FPGAs. Amsterdam: Elsevier, 2004.

[47] A. Z., Elsherbeni and V., Demir, The Finite-Difference Time-Domain Method for Electromagnetics with MATLAB Simulations. Chennai: SciTech Publications, 2009.

[48] M. R., Zunoubi, P., Payne, and W. P., Roach, “CUDA implementation of TEz-FDTD solution of Maxwell's equations in dispersive media,” IEEE Antennas Wireless Propag. Lett., vol. 9, pp. 756–759, 2010.Google Scholar

[49] L., Savioja, “Real-time 3D finite-difference time-domain simulation of low and mid frequency room acoustics,” in Proceedings of the 13th International Conference on Digital Audio Effects (DAFx-10), 2010.

[50] S., Chen, S., Dong, W.-X., Liang, “GPU-based accelerated FDTD simulations for double negative (DNG) materials applications,” in International Conference on Microwave and Millimeter Wave Technology, pp. 839–841, 2010.

[51] R., Shams and P., Sadeghi, “On optimization of finite-difference time-domain (FDTD) computation on heterogeneous and GPU clusters,” J. Parallel Distrib. Comput., vol. 71, pp. 584–593, 2011.Google Scholar

[52] S. H., Zainud-Deen, E., Hassan, M. S., Ibrahim, K. H., Awadalla, and A. Z., Botros, “Electromagnetic scattering using GPU based finite difference frequency domain method,” Prog. Electromagn. Res. B, vol. 16, pp. 351–369, 2009.Google Scholar

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