Fast focus field calculations

Fast focus field calculations.

We present a fast calculation of the electromagnetic field near the focus of an objective with a high numerical aperture (NA). Instead of direct integration, the vectorial Debye diffraction integral is evaluated with the fast Fourier transform for calculating the electromagnetic field in the entire focal region. We generalize this concept with the chirp z transform for obtaining a flexible samp...

Fast Sizing Calculations for Meshing

Provably correct algorithms for meshing difficult domains in three dimensions have been recently developed in the literature. These algorithms handle the problem of sharp angles (< π/2) between segments and between facets by constructing protective collars around these regions. The collars are approximately sized according to the local feature size of the input. With the eventual goal of develo...

Appendix A Magnetic field calculations

Fast camera focus estimation for gaze-based focus control

Many cameras implement auto-focus functionality; however, they typically require the user to manually identify the location to be focused on. While such an approach works for temporally-sparse autofocusing functionality (e.g., photo shooting), it presents extreme usability problems when the focus must be quickly switched between multiple areas (and depths) of interest – e.g., in a gaze-based au...

Fast approaches for molecular polarizability calculations.

Molecular polarizability of a molecule characterizes the capability of its electronic system to be distorted by the external field, and it plays an important role in modeling many molecular properties and biological activities. In this paper, a set of fast empirical models have been developed to predict molecular polarizability using two types of approaches. The first type of approaches is base...