http://ab-initio.mit.edu/~oskooi/papers/Oskooi10.pdf

Meep: A flexible free-software package for electromagnetic simulations by the FDTD method

12.2.2. Four-Wave Mixing (FWM) 4849 12.2.3. Dye Aggregation 4850 12.2.4. Optoelectronic Nanodevices 4850 12.3. Sensor 4851 12.3.1. Chemical Sensor 4851 12.3.2. Biological Sensor 4851 12.4. Catalysis 4852 13. Conclusion and Perspectives 4852 14. Abbreviations 4853 15. Acknowledgements 4854 16. References 4854 * Corresponding author E-mail: tpal@chem.iitkgp.ernet.in. † Raidighi College. § Indian Institute of Technology. 4797 Chem. Rev. 2007, 107, 4797−4862

Interparticle Coupling Effect on the Surface Plasmon Resonance of Gold Nanoparticles: From Theory to Applications

Gravitational waves emitted by perturbed black holes or relativistic stars are dominated by `quasinormal ringing', damped oscillations at single frequencies which are characteristic of the underlying system. These quasinormal modes have been studied for a long time, often with the intent of describing the time evolution of a perturbation in terms of these modes in a way very similar to a normal-mode analysis. In this review, we summarize how quasinormal modes are defined and computed. We will see why they have been regarded as closely analogous to normal modes, and discover why they are actually quite different. We also discuss how quasinormal modes can be used in the analysis of a gravitational wave signal, such as will hopefully be detected in the near future.

https://iopscience.iop.org/article/10.1088/0264-9381/16/12/201/pdf

Quasinormal modes: the characteristic `sound' of black holes and neutron stars

Biosensors based on the shift of whispering-gallery modes in microspheres accompanying protein adsorption are described by use of a perturbation theory. For random spatial adsorption, theory predicts that the shift should be inversely proportional to micorsphere radius R and proportional to protein surface density and excess polarizability. Measurements are found to be consistent with the theory, and the correspondence enables the average surface area occupied by a single protein to be estimated. These results are consistent with crystallographic data for bovine serum albumin. The theoretical shift for adsorption of a single protein is found to be extremely sensitive to the target region, with adsorption in the most sensitive region varying as 1R 52 . Specific parameters for single protein or virus particle detection are predicted. © 2003 Optical

/pdf/shift-of-whispering-gallery-modes-in-microspheres-by-protein-4qu9dxzrau.pdf

Shift of whispering-gallery modes in microspheres by protein adsorption

We briefly review basic properties of dielectric whispering gallery mode resonators that are important for applications of the resonators in optics and photonics.

Optical resonators with whispering-gallery modes-part I: basics

Explicit asymptotic formulas are derived for the positions, widths, and strengths of the morphology-dependent resonances in Mie scattering. These formulas are compared with numerical data and found to be highly accurate, especially for the low-order resonances most relevant to nonlinear processes. They permit the interpretation of experimental data on light scattering from microdroplets without resorting to the full apparatus of the Mie scattering formalism.

Explicit asymptotic formulas for the positions, widths, and strengths of resonances in Mie scattering

It is shown that for the scalar analog of electrodynamics in one dimension, the quasinormal modes of a leaky cavity form a complete set inside the cavity, provided the cavity is defined by a discontinuity in the refractive index. This condition is sufficiently general to apply to a number of interesting examples. The quasinormal modes are also orthogonal under a modified definition of the inner product. The completeness and orthogonality hold even though the cavity is not a Hermitian system by itself. These properties allow the discrete quasinormal modes to be used as the basis for dynamics of the scalar wave in the cavity.

Completeness and orthogonality of quasinormal modes in leaky optical cavities.

http://staffpages.nus.edu.sg/fas/psytsk/44.pdf

The impact of urodynamic stress incontinence and detrusor overactivity on marital relationship and sexual function

The spectroscopy of the morphology-dependent resonances of a microdroplet has been studied at high precision. The line positions are shown to reveal optical dispersion and permit the refractive index to be determined with sufficient accuracy to provide an estimate of the droplet cooling that is due to evaporation. Comparison of the remaining discrepancies in mode positions for different radial modes indicates a small temperature gradient near the surface. Both the cooling and the temperature gradient are compatible with thermodynamic estimates. The mode quantum numbers are identified with high confidence, and the systematics of the line intensities permit an estimate of the extra radiative loss 1/QL over and above that predicted by Lorenz–Mie theory for a perfect homogeneous microsphere, for example, that which is due to internal scattering, with QL ≈ 2 × 108 for first-order modes.

High-precision identification of morphology-dependent resonances in optical processes in microdroplets

The scalar analog of electromagnetism in one dimension is discussed with reference to a cavity formed by a distribution of dielectric material with dielectric constant \ensuremath{\epsilon}\ifmmode \tilde{}\else \~{}\fi{}(x,\ensuremath{\omega}). Provided that for large \ensuremath{\omega}, \ensuremath{\epsilon}\ifmmode \tilde{}\else \~{}\fi{}(x,\ensuremath{\omega}) or its spatial derivative of any order has a discontinuity in x at the edge of the cavity (e.g., the interface between two materials), the discrete quasinormal modes (QNM's) of the system are shown to form a complete set inside the cavity. In terms of these, time-independent perturbation of the dielectric constant can be formulated. Both the completeness relation and the perturbative series are verified explicitly, for example, in the context of which the QNM's are also analyzed and shown to belong to two classes: those that are intrinsically absorptive (which decouple when the absorption is switched off) and those that are intrinsically leaky in character.

Peter Leung

Papers

Explicit asymptotic formulas for the positions, widths, and strengths of resonances in Mie scattering

Completeness and orthogonality of quasinormal modes in leaky optical cavities.

The impact of urodynamic stress incontinence and detrusor overactivity on marital relationship and sexual function

High-precision identification of morphology-dependent resonances in optical processes in microdroplets

Completeness and time-independent perturbation of the quasinormal modes of an absorptive and leaky cavity