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Draine, BT, Flatau PJ.  2008.  Discrete-dipole approximation for periodic targets: theory and tests. Journal of the Optical Society of America a-Optics Image Science and Vision. 25:2693-2703.   10.1364/josaa.25.002693   AbstractWebsite

The discrete-dipole approximation (DDA) is a powerful method for calculating absorption and scattering by targets that have sizes smaller than or comparable to the wavelength of the incident radiation. The DDA can be extended to targets that are singly or doubly periodic. We generalize the scattering amplitude matrix and the 4 x 4 Mueller matrix to describe scattering by singly and doubly periodic targets and show how these matrices can be calculated using the DDA. The accuracy of DDA calculations using the open-source code DDSCAT is demonstrated by comparison with exact results for infinite cylinders and infinite slabs. A method for using the DDA solution to obtain fields within and near the target is presented, with results shown for infinite slabs. (C) 2008 Optical Society of America

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Flatau, PJ, Flatau M, Zaneveld JRV, Mobley CD.  2000.  Remote sensing of bubble clouds in sea water. Quarterly Journal of the Royal Meteorological Society. 126:2511-2523.   10.1256/smsqj.56807   AbstractWebsite

We report on the influence of submerged bubble clouds on the remote-sensing properties of water. We show that the optical effect of bubbles on radiative transfer and on the estimate of the ocean colour is significant. We present a global map of the volume fraction of air in water derived from daily wind speed data. This map. together with the parametrization of the microphysical properties, shows the possible significance of bubble clouds on the albedo to incoming solar energy.

Flatau, PJ, Draine BT.  2012.  Fast near field calculations in the discrete dipole approximation for regular rectilinear grids. Optics Express. 20:1247-1252.   10.1364/OE.20.001247   AbstractWebsite

A near-field calculation of light electric field intensity inside and in the vicinity of a scattering particle is discussed in the discrete dipole approximation. A fast algorithm is presented for gridded data. This algorithm is based on one matrix times vector multiplication performed with the three dimensional fast Fourier transform. It is shown that for moderate and large light scattering near field calculations the computer time required is reduced in comparison to some of the other methods. (C) 2012 Optical Society of America

Flatau, PJ, Fuller KA, Mackowski DW.  1993.  Scattering by 2 Spheres in Contact - Comparisons between Discrete-Dipole Approximation and Modal-Analysis. Applied Optics. 32:3302-3305.   10.1364/AO.32.003302   AbstractWebsite

This paper applies two different techniques to the problem of scattering by two spheres in contact: modal analysis, which is an exact method, and the discrete-dipole approximation (DDA). Good agreement is obtained, which further demonstrates the utility of the DDA to scattering problems for irregular particles. The choice of the DDA polarizability scheme is discussed in detail. We show that the lattice dispersion relation provides excellent improvement over the Clausius-Mossoti polarizability parameterization.

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Markowicz, KM, Flatau PJ, Vogelmann AM, Quinn PK, Welton EJ.  2003.  Clear-sky infrared aerosol radiative forcing at the surface and the top of the atmosphere. Quarterly Journal of the Royal Meteorological Society. 129:2927-2947.   10.1256/qj.02.224   AbstractWebsite

We study the aerosol radiative forcing at infrared (IR) wavelengths using data from the Aerosol Characterization Experiment. ACE-Asia, cruise of the National Oceanic and Atmospheric Administration research vessel Ronald H. Brown. The analyses apply to the daytime periods of clear-sky conditions for the area within the immediate vicinity of the ship. An optical model is derived from chemical measurements, lidar profiles, and visible-extinction measurements, which are used to estimate the IR aerosol optical thickness and the single-scattering albedo. The IR model results are compared to detailed Fourier transform interferometer-based IR aerosol forcing estimates, pyrgeometer-based IR downward fluxes, and to observations of the direct aerosol solar forcing. This combined approach attests to the self-consistency of the optical model, and allows us to derive quantities such as the IR forcing at the top of the atmosphere (TOA) and the IR optical thickness. The mean IR aerosol optical thickness at 10 mum is 0.08 and the single-scattering albedo is 0.55. The modelled IR aerosol surface forcing reaches 10 W m(-2) during the cruise, which is a significant contribution compared to the total direct aerosol forcing. The surface IR aerosol radiative forcing is between 10 and 25% of the short-wave aerosol forcing. The IR aerosol forcing at the TOA can be up to 19% of the solar aerosol forcing. We show good agreement between TOA aerosol IR forcing derived from the model and from the CERES (Clouds and the Earth's Radiant Energy System) satellite data. Over the Sea of Japan, the average IR aerosol radiative forcing is 4.6 W m(-2) at the surface. and 1.5 W m(-2) at the TOA. The IR forcing efficiency at the TOA is a strong function of aerosol temperature (which is coupled to vertical structure) and changes between 10 and 18 W m(-2) (per IR optical depth unit), while the surface IR forcing efficiency varies between 37 and 55 W m(-2) (per IR optical depth unit).