Information theoretical analysis of hierarchical nano-optical systems in the subwavelength regime

Optical near-field interactions exhibit a hierarchical response, which is one of the most unique attributes of light-matter interactions occurring locally on the nanometer scale. It allows hierarchical nano-optical systems that break through the integration restrictions posed by the diffraction limit of conventional propagating light and offers multiple hierarchical functionalities at different physical scales in the subwavelength regime. Here we demonstrate an information theoretical approach to such nano-optical systems while assessing their electromagnetic and logical aspects via angular-spectrum analysis. Mutual information at each level of the hierarchy reveals quantitatively the relation between the physical effects associated with the hierarchy in the optical near-fields, as well as possible environmental disturbances affecting the system locally or globally, and the system's capabilities for information processing and communication.

[1]  Claude E. Shannon,et al.  A Mathematical Theory of Communications , 1948 .

[2]  E. Ozbay.  Plasmonics: Merging Photonics and Electronics at Nanoscale Dimensions , 2006, Science.

[3]  Partha P. Mitra,et al.  Nonlinear limits to the information capacity of optical fibre communications , 2000, Nature.

[4]  Motoichi Ohtsu,et al.  Near-field optical chemical vapor deposition using Zn(acac)2 with a non-adiabatic photochemical process , 2006 .

[5]  M. Naruse,et al.  Nanophotonics: Application of Dressed Photons to Novel Photonic Devices and Systems , 2008, IEEE Journal of Selected Topics in Quantum Electronics.

[6]  C. cohen-tannoudji,et al.  Photons and Atoms , 1997 .

[7]  A. Malko,et al.  Optical gain and stimulated emission in nanocrystal quantum dots. , 2000, Science.

[8]  M. Naruse,et al.  Hierarchy in Optical Near-fields by Nano-scale Shape Engineering and its Application to Traceable Memory , 2007, 2007 Conference on Lasers and Electro-Optics (CLEO).

[9]  Cho,et al.  Optical selection rule and oscillator strength of confined exciton system in CuCl thin films. , 1993, Physical review letters.

[10]  Motoichi Ohtsu,et al.  Analysis of surface roughness of optical elements planarized by nonadiabatic optical near-field etching , 2009 .

[11]  Mark A. Neifeld,et al.  Information theoretic framework for the analysis of a slow-light delay device , 2008 .

[12]  David A. B. Miller,et al.  Fundamental limit for optical components , 2007 .

[13]  P. Oittinen,et al.  Average mutual information as a quality measure in imaging processes , 1986 .

[14]  Harry A. Atwater,et al.  Local detection of electromagnetic energy transport below the diffraction limit in metal nanoparticle plasmon waveguides , 2003, Nature materials.

[15]  Makoto Naruse,et al.  Analysis and Synthesis of Hierarchy in Optical Near-Field Interactions at the Nanoscale Based on Angular Spectrum , 2007 .

[16]  Masakazu Hirata,et al.  Hybrid recording on bit-patterned media using a near-field optical head , 2007 .

[17]  Xianfan Xu,et al.  Enhanced optical near field from a bowtie aperture , 2006 .

[18]  Naoya Tate,et al.  Quadrupole-dipole transform based on optical near-field interactions in engineered nanostructures. , 2009, Optics express.

[19]  C. E. SHANNON,et al.  A mathematical theory of communication , 1948, MOCO.

[20]  Jeffrey N. Anker,et al.  Biosensing with plasmonic nanosensors. , 2008, Nature materials.

[21]  Toshiharu Saiki,et al.  Local density of states mapping of a field-induced quantum dot by near-field photoluminescence microscopy , 2005 .

[22]  M Ohtsu,et al.  Fabrication of vertically aligned ultrafine ZnO nanorods using metal–organic vapor phase epitaxy with a two-temperature growth method , 2008, Nanotechnology.

[23]  Naokatsu Yamamoto,et al.  Scale-dependent Optical Near-fields in InAs Quantum Dots and Their Application to Non-pixelated Memory Retrieval , 2008 .

[24]  Andrew W. Eckford.  Achievable information rates for molecular communication with distinct molecules , 2007, 2007 2nd Bio-Inspired Models of Network, Information and Computing Systems.

[25]  Christoph Lienau,et al.  Near-field wave-function spectroscopy of excitons and biexcitons , 2005 .

[26]  Yoshihiko Kanemitsu,et al.  Energy transfer from semiconductor nanocrystal monolayers to metal surfaces revealed by time-resolved photoluminescence spectroscopy , 2008 .

[27]  Hirokazu Hori,et al.  Quantum Theory of Radiation in Optical Near Field Based on Quantization of Evanescent Electromagnetic Waves Using Detector Mode , 2005 .

[28]  R. Yu,et al.  Fus3 generates negative feedback that improves information transmission in yeast pheromone response , 2008, Nature.

[29]  Kiyoshi Kobayashi,et al.  Nanophotonic Computing Based on Optical Near-Field Interactions between Quantum Dots , 2005, IEICE Trans. Electron..

[30]  M. Naruse,et al.  Design and Simulation of a Nanophotonic Traceable Memory Using Localized Energy Dissipation and Hierarchy of Optical Near-Field Interactions , 2008, IEEE Transactions on Nanotechnology.

[31]  M. Artemyev,et al.  Exciton-plasmon-photon conversion in plasmonic nanostructures. , 2007, Physical review letters.

[32]  Tetsuya D. Mishima,et al.  Enhancing the in-plane spatial ordering of quantum dots , 2004 .

[33]  Masayuki Naya,et al.  Near-field optical photolithography for high-aspect-ratio patterning using bilayer resist , 2005 .

[34]  Motoichi Ohtsu,et al.  Hierarchy in optical near-fields and its application to memory retrieval. , 2005, Optics express.

[35]  Ishihara,et al.  Nonlocal theory of the third-order nonlinear optical response of confined excitons. , 1993, Physical review. B, Condensed matter.

[36]  Manuel Nieto-Vesperinas,et al.  Analyticity of the angular spectrum amplitude of scattered fields and some of its consequences , 1985 .