Fourier Series Applet of Double Pulse Function.

Cuthbert Nyack

The function opposite shows a double pulse. Its spectrum falls within a wavepacket envelope and has an appearance similar to the familiar 2 slit interference pattern.

In the applet, the double pulse is in magenta, the even part of the spectrum is in red, the odd part in green and the magnitude spectrum is in orange. Here horizontal axis corresponds to one period T = 4 ( for f and g).
Some eg parameters are:-
(0.8, 0.8, 0.8, 0.8, 0.1, 0.1, 0.1, 0.1, 10.0, 2.0) even pulse.
(0.8, 0.8, -0.8, -0.8, 0.1, 0.1, 0.1, 0.1, 10.0, 2.0) odd pulse.
(0.8, 0.0, 0.0, -0.8, 0.1, 0.1, 0.1, 0.1, 10.0, 2.0) .
(0.8, 0.8, 0.8, 0.8, 0.1, 0.7, 0.1, 0.1, 10.0, 2.0) .
(0.8, 0.8, 0.8, 0.8, 0.1, 0.7, 0.1, 0.5, 5.0, 2.0) .

When activated the following gif image show how the applet should appear.

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