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We simulate Mie scattering from a two dimensions dielectric cylinder.  Angular scattering results from the FDTD simulation are compared to the analytic solution.

 

Solvers

FDTD

Associated files

mie_theory_2d.fsp

mie_theory_2d.lsf

mie_cylinder.txt

See also

Surface Plasmons

Mie scattering 3D

TFSF sources

Related publications

H C van de Hulst, "Light Scattering by Small Particles", John Wiley, Ch. 15 (1957)

 

The 1981 edition is available on Google Books: http://books.google.com/books?id=6ivW_TgIdjIC

nano_particle_mie_2d_screenshot_zoom99

Results

Open and run the simulation file named mie_theory_2d.fsp.  The simulation creates the mpeg movie below.  The Total-Field Scattered-Field (TFSF) source is used to create a plane wave incident on a dielectric cylinder.  Only light scattered by the cylinder propagates beyond the TFSF boundary.

 

 

After running the simulation, run the script file named mie_theory_2d.lsf. The script file computes a series of far field projections at 2 wavelengths, and compares the results to the analytic data for scattering from a dielectric cylinder that are stored in the file cylinder.txt. Note that the monitors record 25 wavelengths, but the script in the analysis group selects the monitor data at 1 and 2 microns. The resultant plot (logarithmic scale) is shown below. The analytic and simulated results agree very well at all angles, over more than 5 orders of magnitude.

 

nano_particle_mie_2d_angular_scatter

 

The script can also calculate the scattering and absorption cross sections.  The absorption will be zero, since the cylinder is a composed of a dielectric with no absorption.  To calculate the cross sections, edit the script and set the do_cross_sections variable to 1.

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