Nanophotonics

<p>1.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; &nbsp;General Introduction and overview of the text:&nbsp; Qualitative remarks about the systems and effects found in nanophotonics and their important technological applications.&nbsp; </p> <p>2.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Mathematical Preliminaries:</p> <p>a.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Treatments of the effective dielectric properties of composites.</p> <p>b.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Treatments of the properties of periodic systems including Block waves, band structure, Wannier functions, and tight binding models.</p> <p>c.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Discussions of the finite difference time domain method and the method of moments.</p> <p>d.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Discussions of forces on mano-particles and atoms arising from gradients in the electromagnetic field intensities.</p> <p>e.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Summary of the basic properties of nonlinear optics:&nbsp; Kerr effect and second harmonic generation.</p> f.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; General treatment of the properties of soliton modes and of the generation of second harmonics &nbsp;of radiation.<p></p> <p>3.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Photonic crystals:</p> <p>a.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Treatment of photonic crystal band structure and its effect on the decay rate of excited atoms.</p> <p>b.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Discussion of photonic crystal cavities, lasers, and nano-cavity lasers.</p> <p>c.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Discussions of photonic crystal waveguides and their properties including both linear and nonlinear optical materials.</p> i.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Treatments of in-channel and off-channel impurities in waveguides<p></p> <p>ii.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Treatments of soliton modes in photonic crystal waveguides</p> <p>d.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Treatment of nonlinear effect of photonic crystal diodes and transistors.</p> <p>e.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Discussions of photonic crystal circuits and possible applications.</p> <p>4.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; &nbsp;Metamaterials:</p> a.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Discussions of index of refraction and the ideas of negative index materials.<p></p> <p>b.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Discussions of how artificial nano-features such as split ring resonators function and how they can be used to design metamaterials with any desired refractive properties.</p> <p>c.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Treatment of the perfect lens.</p> <p>d.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Treatment of electromagnetic cloaking.</p> <p>e.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Treatment of Cherenkov and other radiative interactions and effects in negative index materials.</p> f.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Treatment of linear and nonlinear modes in metamaterials.<p></p> <p>5.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Plasmmonics:</p> <p>a.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Discussions of the basic properties of surface plasmon-polaritons.</p> <p>b.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Treatment of plasmonic circuits.</p> <p>c.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Discussion of the properties of negative index materials in plasmonics.</p> <p>d.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Treatment of the enhanced transmission through gratings.</p> <p>e.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Discussion of the role of surface plasmons-polaritons in rough surface scattering and transmission.</p> <p>f.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Treatment of the principles of surface enhanced Raman scattering.</p> <p>g.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Discussions of some basic applications of plasmonic technology.</p> <p>6.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Subwavelength focusing:</p> <p>a.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Discussions of optical resolution and the problems involved in obtaining a perfectly resolved image.</p> <p>b.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Discussions of various methods of achieving subwavelength resolution.</p> <p>c.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Refinement of the discussions of the perfect lens to give detailed treatment of how a perfect image is achieved by metamaterial technology.</p> <p>7.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Near-Field Scanning Optical Microscopy</p> <p>a.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Presentation of an introduction to the basic ideas of near-field optics and near-field scanning optical microscopy.</p> <p>b.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Discussions of various device implementation of these ideas.</p> <p>8.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Optical tweezers:</p> <p>a.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; General discussions of the manipulation of nano-particles and atoms.</p> <p>b.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Discussions of applications in biology and nano-physics.</p> <p>9.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Trapped Atoms:</p> <p>a.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Discussions of types of atomic traps.</p> b.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Treatment of the basic physics displayed by trapped atoms.<p></p> <p>c.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Discussions of entanglement and some ideas of quantum computing.</p> <p>d.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Basic ideas of optical lattices and some applications are presented.</p> <p>10.&nbsp;&nbsp; &nbsp;Discussions of some of the basic techniques of experimental implementation of the ideas of nanophotonics.</p>