Simulation of Plasmonics Nanodevices with Coupled Maxwell and Schrödinger Equations using the FDTD Method
Main Article Content
Abstract
Maxwell and Schrödinger equations are coupled to incorporate quantum effects for the simulation of plasmonics nanodevices. Maxwell equations with Lorentz-Drude (LD) dispersive model are applied to large size plasmonics components, whereas coupled Maxwell and Schrödinger equations are applied to components where quantum effects are needed. The finite difference time domain method (FDTD) is applied to simulate these coupled equations.
Downloads
Article Details
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).
References
S. A. Maier, Plasmonics: Fundamentals and Applications, 2007, Springer, New York, USA.
M. L. Brongersma, P. G. Kik, surface Plasmon nanophotonics, 2007, Springer, The Netherlands.
V. M. Shalaev and S. Kawata, Nanophotonics with Surface Plasmons, 2007, Elsevier.
R. Zia, and M. L. Brongersma, “Surface plasmon polariton analogue to Young’s double-slit experiment,” Nature Nanotech. 2, 426- 429, 2007.
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 7764, 77640B, 2010.
I. Ahmed, E. H. Khoo, O. Kurniawan, and E. P. Li, “Modeling and simulation of active plasmonics with the FDTD method by using solid state and Lorentz–Drude dispersive model”, J. of opt. Society B, Vol. 28, No. 3, 352–359, 2011.
O. Kurniawan, I. Ahmed and E. P. Li, “Development of a palsmonics source based on nano-antenna concept for nano-photonics applications” IEEE Photonics Journal, Vol. 3, pp. 344 – 352, 2011.
K. F. MacDonald, Z. L. Samson, M. I. Stockman and N. I. Zheludev, “Ultrafast active plasmonics” Nature Photonics, 3, 55-58, 2009.
J. A. Dionne, K. Diest, L. A. Sweatlock, and H. A. Atwater, "Plas-MOStor: A metal-oxide-Si field effect plasmonic modulator," Nano Letters, 9, 897-902, 2009.
A. V. Krasavin and A. V. Zayats, “Three-dimensional numerical modeling of photonics integration with dielectric loaded SPP waveguides”, Physics Review B, 78, 045425-8, 2008.
G. Naik and A. Boltasseva, “Plasmonics and metamaterials: looking beyond gold and silver”, SPIE, Newsroom, January, 2012.
L. Pierantoni, D. Mencarelli and T. Rozzi, “A new 3-D transmission line matrix scheme for the combined Schrödinger Maxwell problem in the electronic electromagnetic characterization of nanodevices”, IEEE Trans. Micro. Theo. and Tech., Vol. 56, No. 3, 654-662, 2008.
I. Ahmed, Li, E. P. and R. Mittra “A Hybrid Approach for solving coupled Maxwell and Schrödinger equations arising in the simulation of nanodevices” IEEE Anten. Wirel. Propag. Letts, Vol. 9, 914-917, 2010.
D.G. Swanson, and W. J. R. Hofer, Microwave circuit modeling using electromagnetic field simulation, Artech House Inc. Norwood, MA, 2003. A. Taflove and S. C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method, 3rd Ed., Artech House, Boston, 2005.
I. Ahmed, E. K. Chua, E. P. Li, and Z. Chen, “Development of the three dimensional unconditionally stable LOD-FDTD method,” IEEE Trans. Antennas Propag., vol. 56, no. 11, pp. 3596–3600, Nov. 2008.
D. Rakic, A. B. Djurisic, J. M. Elazar and M. L. Majewski “Optical properties of Metallic films for vertical-cavity optoelectronic devices” Apl. Optics. 37, 5271-5283, 1998.
D. M. Sullivan, Electromagnetic simulation using the FDTD method, 2000, Wiley-IEEE Press.