Interferometric autocorrelation of sech^2 pulse?

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Discussion Overview

The discussion centers on the methods for determining pulse width from interferometric autocorrelation signals, particularly in the context of sech² pulses. Participants explore the differences between intensity autocorrelation and interferometric autocorrelation, and seek clarification on the appropriate calculations and references for these methods.

Discussion Character

  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant notes that for intensity autocorrelation, the FWHM can be divided by 1.53 for sech² pulses but is uncertain about the equivalent for interferometric autocorrelation.
  • Another participant questions the difference between "interferometric autocorrelation" and "intensity autocorrelation," explaining that intensity autocorrelation uses second harmonic generation from non-collinear beams, while interferometric autocorrelation uses collinear beams.
  • There is a suggestion that "field autocorrelation" might be a more appropriate term than "intensity autocorrelation," and a request for references regarding the numerical factor of 1.53.
  • Some participants express uncertainty about the derivation of the numerical factor and the methods for calculating pulse width from interferometric autocorrelation.
  • One participant proposes a method for measuring pulse duration using interferometric autocorrelation, emphasizing the calibration factor derived from fringe spacing measurements.

Areas of Agreement / Disagreement

Participants do not reach consensus on the methods for determining pulse width from interferometric autocorrelation, and multiple competing views regarding the definitions and calculations remain present throughout the discussion.

Contextual Notes

There are limitations regarding the clarity of definitions between different types of autocorrelation, and the derivation of numerical factors is not fully resolved. Some participants reference external materials for further calculations but do not confirm their applicability.

IcedCoffee
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I know that from intensity autocorrelation, I simply need to divide the FWHM by 1.53 for sech2 pulses.

But I can't seem to be able to find any reference on how to get pulse width from interferometric autocorrelation signal.

Can someone help me?
 
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What is the difference between "interferometric autocorrelation" and "intensity autocorrelation"?
 
IcedCoffee said:
Summary:: How do I get the pulse width from interferometric autocorrelation?

I know that from intensity autocorrelation, I simply need to divide the FWHM by 1.53 for sech2 pulses.

But I can't seem to be able to find any reference on how to get pulse width from interferometric autocorrelation signal.

Can someone help me?
I assume you meant '"field autocorrelation" instead of "Intensity autocorrelaton". What was your reference regarding "I know that from intensity autocorrelation, I simply need to divide the FWHM by 1.53 for sech2 pulses."? Was that numerical factor derived in your reference?
 
Baluncore said:
What is the difference between "interferometric autocorrelation" and "intensity autocorrelation"?
Intensity autocorrelation uses second harmonic generation from two non-collinear beam. It cannot resolve the fringes of a multi-cycle pulse.
Interferometric autocorrelation uses two collinear beam. The generated second harmonics beam is thus collinear with the two beams, and is affected by interference pattern.

https://en.wikipedia.org/wiki/Optical_autocorrelation
 
Andy Resnick said:
I assume you meant '"field autocorrelation" instead of "Intensity autocorrelaton". What was your reference regarding "I know that from intensity autocorrelation, I simply need to divide the FWHM by 1.53 for sech2 pulses."? Was that numerical factor derived in your reference?
There seems to be some difference between "field autocorrelation" and "interferometric autocorrelation" - the latter uses second harmonic generation while the first directly measures the pulse itself. As for the reference, I couldn't find the detailed derivation but I believe taking an autocorrelation of sech2 envelope can be done.

https://www.brown.edu/research/labs...ch.labs.mittleman/files/uploads/lecture14.pdf
 
IcedCoffee said:
There seems to be some difference between "field autocorrelation" and "interferometric autocorrelation" - the latter uses second harmonic generation while the first directly measures the pulse itself. As for the reference, I couldn't find the detailed derivation but I believe taking an autocorrelation of sech2 envelope can be done.

https://www.brown.edu/research/labs...ch.labs.mittleman/files/uploads/lecture14.pdf
Slides 15, 17-21 have the relevant calculations; are you able to verify the numerical factors on your own?
 
I don't think the pulse shape is as important when doing interferometric autocorrelation trace to measure the pulse duration. When working with IAC:
1. Calculate the "real time" of the fringe spacing (Which should be 2*lambda/c for a double-pass configuration).
2. Then you measure the fringe spacing of what you measured with the oscilloscope - spacing in time between 2 fringes (which should give you a time in ms).
3. The ratio of 1 and 2 is the calibration factor. Multiply that by the FWHM of your oscilloscope measurement to get the FWHM of the real pulse width.
 

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