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Hirophysics.com Simulation of the Electromagnetic Fields and its Properties With Free-space and Dielectrics Using the FDTD Method Mark E. Eckman.

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Presentation on theme: "Hirophysics.com Simulation of the Electromagnetic Fields and its Properties With Free-space and Dielectrics Using the FDTD Method Mark E. Eckman."— Presentation transcript:

1 Hirophysics.com Simulation of the Electromagnetic Fields and its Properties With Free-space and Dielectrics Using the FDTD Method Mark E. Eckman

2 Hirophysics.com FDTD Method For Simulation of an EM Pulse

3 Hirophysics.com They are equations of a plane wave with the electric field (E) oriented in the x- direction, and the magnetic field (H) oriented in the y-direction. The wave itself travels in the z-direction

4 Hirophysics.com Central Difference Approximations for Temporal and Spatial Derivatives

5 Hirophysics.com EM Pulse Plots (Breakdown After 100 Time Steps)

6 Hirophysics.com Modifying the Pulse Shape Step Size Ratio Changed To 1 Removed Square on Exponent exp(((t-t 0 )/  ) 2 )exp(-0.5((t-t 0 )/  ))

7 Hirophysics.com EM Propagation in a Lossy Dielectric Slab

8 Hirophysics.com FDTD Method for EM Propagation in a Lossy Dielectric

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12 Dielectric and Conductivity Limits Setting the dielectric constant to a very large value, while setting the conductivity to a very small value- or vice versa

13 Hirophysics.com Absorbing Boundary Conditions

14 Hirophysics.com Removing these boundary conditions entirely:

15 Hirophysics.com Conclusions The FDTD is a hands on method to visualize the interactions of electromagnetic waves and materials.


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