Parallel, series, and intermediate interconnections of optical nanocircuit elements. 1. Analytical solution

Following our recent development of a paradigm for extending the classic concepts of circuit elements to the infrared and optical frequencies [Phys. Rev. Lett.95, 095504 (2005)], in this paper we investigate the possibility of connecting nanoparticles in series and in parallel configurations, acting as nanocircuit elements. In particular, here we analyze a pair of conjoined half-cylinders whose relatively simple geometry may be studied and analyzed analytically. In this first part of this work, we derive a novel closed-form quasi-static analytical solution of the boundary-value problem associated with this geometry, which will be applied in Part 2 for a nanocircuit and physical interpretation of these results.

[1]  Harry A. Atwater,et al.  Electromagnetic energy transfer and switching in nanoparticle chain arrays below the diffraction limit , 2000 .

[2]  N Engheta,et al.  Negative effective permeability and left-handed materials at optical frequencies. , 2004, Optics express.

[3]  A. Geim,et al.  Nanofabricated media with negative permeability at visible frequencies , 2005, Nature.

[4]  M. Kerker,et al.  Founding fathers of light scattering and surface-enhanced Raman scattering. , 1991, Applied optics.

[5]  Parallel, series, and intermediate interconnections of optical nanocircuit elements. 2. Nanocircuit and physical interpretation , 2007, 0707.1003.

[6]  Nader Engheta,et al.  Theory of linear chains of metamaterial/plasmonic particles as subdiffraction optical nanotransmission lines , 2006 .

[7]  E. M. Lifshitz,et al.  Electrodynamics of continuous media , 1961 .

[8]  Nader Engheta,et al.  Optical nanotransmission lines: synthesis of planar left-handed metamaterials in the infrared and visible regimes , 2006, physics/0603052.

[9]  Uday K Chettiar,et al.  Negative index metamaterial combining magnetic resonators with metal films. , 2006, Optics express.

[10]  C. Kittel.  Introduction to solid state physics , 1954 .

[11]  F. Aussenegg,et al.  Electromagnetic energy transport via linear chains of silver nanoparticles. , 1998, Optics letters.

[12]  M. Wegener,et al.  Simultaneous Negative Phase and Group Velocity of Light in a Metamaterial , 2006, Science.

[13]  Andrea Alù,et al.  Circuit elements at optical frequencies: nanoinductors, nanocapacitors, and nanoresistors. , 2004, Physical review letters.

[14]  Z. Kam,et al.  Absorption and Scattering of Light by Small Particles , 1998 .

[15]  Kevin J. Malloy,et al.  Demonstration of metal-dielectric negative-index metamaterials with improved performance at optical frequencies , 2006 .

[16]  D. A. Dunnett.  Classical Electrodynamics , 2020, Nature.

[17]  Nader Engheta,et al.  Three-dimensional nanotransmission lines at optical frequencies: A recipe for broadband negative-refraction optical metamaterials , 2007 .

[18]  R. Scharstein.  Mellin transform solution for the static line-source excitation of a dielectric wedge , 1993 .

[19]  Massimiliano Di Ventra,et al.  Introduction to Nanoscale Science and Technology , 2004 .

[20]  U. Chettiar,et al.  Negative index of refraction in optical metamaterials. , 2005, Optics letters.