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blorpinbloo
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Homework Statement
Electric field for a single pulse of a laser (operating at central wavelength of 800nm):
Code:
E = E0e^(-(t^2/2a^2))e^(iwt)
(the a is sigma and w is omega)
Derive an expression for the spectral intensity (irradiance)
The Attempt at a Solution
One way I know to calculate irradiance is the time average of the poynting vector: (1/u0)*ExB
But that would involve taking the time average of e^(-(t^2)) which is non-integrable.
I've also seen the function E integrated over an area, then squared to give an irradiance formula, but then again I run into problems with that function that's difficult to integrate. Any suggestions?