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3 = One-Billion-Particle electromagnetic Scattering Problem =
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5 Consider one billion spherical particles (radius //r//) randomly located in a finite, spherical medium (radius //R//) in free space in an incident electromagnetic plane wave field (wavelength λ, wave number //k//=2π/λ). Show the ensemble-averaged 4×4 Mueller scattering matrix interrelating the four Stokes parameters (//**I**// = (//I//,//Q//,//U//,//V//)) of the incident field and the scattered field when the size parameter (//x//=//kr//) and complex refractive index (//m//) of the individual spherical particles are //x//=1.76 and //m//=1.50+//i//10^^-4^^ and when the volume fraction of the spherical particles in the spherical medium is //v//=20%.
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7 You may consider an exact or an approximate solution, or a measurement. If the one-billion-particle challenge cannot be met, compute or measure the scattering matrix for a finite medium composed of the maximum number of spherical particles accessible for your method.
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9 == Workshop ==
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11 The problem and the solution attempts will be discussed at a one-day workshop on Friday, August 19th, 2016. The workshop is organized as a part of the [[EMTS 2016>>url:http://emts2016.org/||shape="rect"]] conference and its Multiple Scattering session. The workshop is open and free of charge. If interested to join, please e-mail tentative registration to [[Dr. Antti Penttilä>>mailto:antti.i.penttila@helsinki.fi||shape="rect"]]. The workshop will be held at the University of Helsinki and organized by the [[ERC SAEMPL>>doc:PSR.Planetary System Research group.Projects.SAEMPL.WebHome]] project.
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13 == Program ==
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15 Kumpula Campus, Physicum lobby
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17 * 09:30 Coffee
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19 Kumpula Campus, Physicum, room E207
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21 * 10:00 //Antti Penttilä//, Opening
22 * 10:05 //Daniel Mackowski//, Multi-sphere //T//-matrix method and its capabilities
23 * 10:20 //Johannes Markkanen//, FMM-accelerated //T//-matrix implementation
24 * 10:35 //Dimitrios Tzarouchis//, TBA
25 * 10:50 //Xavier Faget//, TBA
26 * 11:05 //Jukka Räbinä//, Exact solution with the Discrete Exterior Calculus for a limited problem
27 * 11:20// Maxim Yurkin//, Exact solution, capabilities of discrete-dipole approximation code ADDA\\
28 * 11:35 //Karri Muinonen//, Radiative-transfer solution with incoherent scattering
29 * 11.50 //Antti Penttilä//, Exact solutions for reduced problems vs. approximate radiative-transfer solutions\\
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31 12.15-13.30, lunch, Kumpula Campus, Dynamicum
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33 * 13:30 Open discussion
34 ** future prospects
35 ** joint article for Radio Science
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37 End by 15:00
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39 == Venue ==
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41 The Helsinki University Faculty of Science is located at the [[Kumpula Campus>>url:http://www.helsinki.fi/kumpula/english/index.htm||shape="rect"]]. It can be reached by several bus lines from the Helsinki or Pasila railway stations, by tram lines 6 and 8, or by bus [[number 506>>url:http://linjakartta.reittiopas.fi/en/#?mapview=map&line=1506++1,1506++2||shape="rect"]] from Otaniemi. Please see the[[ Journey Planner>>url:https://www.hsl.fi/en||shape="rect"]] for details, the street address for the campus is "Gustaf Hällströmin katu 2a"**.**
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