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Two-beam-interference applet instructions

by Johannes Courtial


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BASIC FUNCTIONALITY

WHAT IT SHOWS

Apart from the intensity cross-section in one plane (grey-level), the applet indicates the phase of the interfering beams. It does this in the following way: the figure below shows an example of two different phase fronts (red and blue) of the same light beam (the light beam in the example has 3 hbar orbital angular momentum) but out of phase with each other (by pi or 180°).
two different phase fronts of the same beam

The two-beam interference simulation applet indicates the lines of intersection of two such out-of-phase phase fronts with the cross-section plane.

WHAT IT DOES...

It takes 2 light beams with helical phase fronts (top two pictures) and calculates their superposition (bottom picture), taking into account the beams' orbital angular momenta, rotation angles, axis positions, and sizes.

... AND DOESN'T DO

It makes special assumptions about the beams' phase front curvatures (assumption: not curved), inclinations (assumption: beams travel normal to the screen), additional phase differences (assumption: beams in phase), intensities (assumption: same peak intensity), and radial intensity profiles (the intensity profiles are always those of l=1 Laguerre-Gaussian modes).
after loading

state after loading
grabbing a phase front

grabbing a phase front
dragging a phase front

rotating the beam
(by dragging a phase front)
finding the axis position

finding the axis position
dragging the axis position

dragging the axis position
dragging the beam radius

dragging the beam radius
creating a forked interferogram

creating a forked interferogram (through interference with an inclined plane wave;
a small part of a large beam with large l is a good approximation)

SOME EXAMPLES

forked interferograms for different OAM values (previous measurement of OAM):

l=-1

OAM = -1 hbar
l=0

OAM = 0 hbar
l=+1

OAM = +1 hbar
l=+2

OAM = +2 hbar
l=+3

OAM = +3 hbar


interference of two beams that differ only in their rotation angle (mode sorter):

rotation angle 0°

make both beams identical
rotation angle 30°

rotation angle 30°
rotation angle 60°

rotation angle 60°
(destructive interference)
rotation angle 90°

rotation angle 90°
rotation angle 120°

rotation angle 120°


aliasing patterns:

aliasing

complex pattern due to aliasing


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