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adda-team / adda

ADDA - light scattering simulator based on the discrete dipole approximation
GNU General Public License v3.0
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Sphere quadrature for orientation averaging #40

Open GoogleCodeExporter opened 9 years ago

GoogleCodeExporter commented 9 years ago 
Implement orientation averaging using quadrature over sphere surface,
according to ideas of Antti Penttila.

Original issue reported on code.google.com by yurkin on 24 Dec 2008 at 7:16

GoogleCodeExporter commented 9 years ago 
A detailed description of these ideas is given in A. Penttilä and K. Lumme, 
“Optimal cubature on the sphere and other orientation averaging schemes,” 
J. Quant. Spectrosc. Radiat. Transfer 112, 1741-1746 (2011). doi: 
10.1016/j.jqsrt.2011.02.001

Original comment by yurkin on 9 Oct 2011 at 10:09

GoogleCodeExporter commented 9 years ago 
Different ways to perform orientation averaging with ADDA are discussed at 
http://groups.google.com/group/adda-discuss/browse_thread/thread/26a8741639a985f
7 . In particular, external averaging is proposed, which is a workaround for 
this issue.

Original comment by yurkin on 9 Oct 2011 at 10:23

myurkin commented 8 years ago

/cc @anatheana

myurkin commented 6 years ago

Another relevant discussion is https://groups.google.com/forum/#!topic/adda-discuss/9gJTy2spRjo

myurkin commented 5 years ago

Another idea is to use Fibonacci lattice (kind of quasi Monte Carlo) - see Zhang J. On numerical orientation averaging with spherical Fibonacci point sets and compressive scheme, J. Quant. Spectrosc. Radiat. Transfer 206, 1–7 (2018).

This paper also applies compressed sensing, based on the expansion of orientation-dependent scattered quantity into series of spherical harmonics. In this respect, this is related to #138

myurkin commented 1 year ago

Some general ideas how to evaluate different quadratures (or more specifically, cubatures) for the DDA and other light-scattering simulation methods: Yurkin M.A. Fair evaluation of orientation-averaging techniques in light-scattering simulations: Comment on “Evaluation of higher-order quadrature schemes in improving computational efficiency for orientation-averaged single-scattering properties of nonspherical ice particles” by Fenni et al., J. Geophys. Res. Atmos. 128, e2021JD036088 (2023).

myurkin commented 10 months ago

Another recent relevant paper is Fazel-Najafabadi A. and Auguié B. Orientation-averaged light scattering by nanoparticle clusters: Far-field and near-field benchmarks of numerical cubature methods, J. Quant. Spectrosc. Radiat. Transfer 286, 108197 (2022). It benchmarks several cubatures and also mentions (with references) several adaptive options. The latter may be an ultimate goal for solving this issue.

myurkin commented 1 month ago

This paper has a concise description of various cubatures, including their efficiency (number of point to integrate spherical harmonics up to a given point): https://cbeentjes.github.io/files/Ramblings/QuadratureSphere.pdf