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Electromagnetic Finite-Difference Time-Domain (FDTD) in Mathematica
Author

John Kohoutek
Conference

Wolfram Technology Conference 2014
Conference location

Champaign, Illinois, USA
Description

Maxwell's equations in differential form are mapped onto two dimensions and discretized. Mathematica is used to solve the discretized equations for a fine mesh, with each mesh point being represented by a given epsilon (dielectric constant). The dielectric constant-dependent geometry is built using the new Region[] functionality of Mathematica 10. Utilizing this approach, complex, abritrary geometries can be realized and solved for. Results of various computations will be shown. Highlights include movies of interesting solved geometries, field intensity profiles, and different boundary conditions, including periodic and perfect metals.
Subject

*Wolfram Technology
URL

http://www.wolfram.com/events/technology-conference/2014
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WTC-2014_kohoutek_finalpres_following.nb (6.7 MB) - Mathematica Notebook