Double slit experiment

This example uses the well-known Young’s double slit experiment to demonstrate the spatial coherence of sources within an FDTD simulation.

Solvers: FDTD, VarFDTD

Associated files:
usr_double_slit.fsp (247.0 KB)
usr_double_slit.lsf (1.1 KB)

See also
FDTD and coherence
Incoherent dipole
Unpolarized beam
Incoherent unpolarized dipole

The simulation uses a TFSF plane wave source traveling in the +x direction that illuminates an opaque screen with two apertures 12 um apart. The fields are observed using a frequency monitor which records the data along y at a distance of 50 um away from screen.

The script file runs the simulation for the cases where the only the top slit is open, only the bottom slit is open, and the case where both slits are open.

As the plane wave propagates through the slit, diffraction occurs, making the slit act as a point source. The resulting field profile on the screen is a roughly Gaussian shaped intensity profile from each slit when only one is open at a time.

image

When both of the slits are open at the same time, the resulting intensity profile recorded by the monitor is not the simple the addition of the two intensity profiles shown above. Instead, it is a coherent sum, that includes the interference terms between the two point sources.

image

It is important to understand that individual FDTD simulations are always coherent. Never the less, it is possible to obtain incoherent results by running multiple simulations and adding the results incoherently. The figure below shows the resulting profile for an incoherent system.

image

Note:
The example script runs 3 simulations, but you can get both incoherent and coherent results by running only the two simulations where only one slit is open and adding the results incoherently (\(|E_1| ^2+|E_2|^2\)) and coherently (\(|E_1+E_2|^2\))

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6 posts were split to a new topic: Diffraction from an aperture with an arbitrary shape

4 posts were split to a new topic: Fresnel diffraction pattern from a rectangular aperture