E-field of a laser pulse and Intensity

AI Thread Summary
The discussion focuses on deriving the electric field equation for a single laser pulse and its intensity as a function of frequency when measured by a square law detector in a grating spectroscope. The user acknowledges the relationship between energy and the electric field, noting that intensity is typically calculated using the equation I = 1/2 Epsilon * c * E^2, which does not incorporate frequency dependence. A key point raised is the general independence of frequency and intensity, questioning the expectation of a relationship between the two. The conversation emphasizes the need for clarity on how intensity can be expressed in relation to frequency in this context. Understanding these principles is crucial for accurate measurements in laser applications.
PhysMaster
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Hi,
What is the equation for a E field of a single pulse of a laser?
If that laser is shined onto say a grating spectroscope (square law detector), how can I go about deriving an expression for Intensity as a function of frequency at the output of the spectroscope?

I know that the square law detector will measure Energy which is the square of the E field (and some proportionality factor that I don't know).
I also know Intensity equation, I = 1/2 Epsilon * c * E^2 where Epsilon is the permittivity in vacuum. But that doesn't seem to apply here since it has no dependence on frequency.

Any help is much appreciated.
 
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Frequency and intensity are independent of each other, in general. Why do you think there should be a relationship between them?
 
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