Calculating Optical Cycles in Ultrashort Pulses

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Homework Help Overview

The discussion revolves around calculating the number of optical cycles in an ultrashort optical pulse characterized by a complex wavefunction, a central wavelength of 585 nm, and a Gaussian envelope with an RMS width of 6 femtoseconds.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the relationship between time and distance in the context of pulse width, questioning how to interpret the RMS width in seconds. There is a suggestion to convert time to distance using the speed of light and then relate that to the wavelength to determine the number of cycles.

Discussion Status

The discussion is active, with participants providing guidance on how to approach the problem. There is recognition of the complexities involved in discussing frequency in relation to such short durations, indicating a productive exploration of the topic.

Contextual Notes

Participants note the challenge of interpreting the pulse width given in time rather than length, which may affect the calculations and assumptions made in the problem.

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If an ultrashort optical pulse has a complex wavefunction with central frequency corresponding to a wavelength = 585 nm and a Gaussian envelope of RMS width of 6 femtoseconds, how can I calculate how many optical cycles are contained in the pulse width?

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The Attempt at a Solution


Not too sure where to begin. I don't understand how a width can be measured in seconds. If it had been provided as a length, I would assume that one needs to simply divide that length by two times the wavelength to get the amount of cycles.
 
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When you say of something "in two minutes drive from here", you refer to a distance in terms of time.
 
So then I suppose I can multiply it by the speed of light to get a distance, and then divide accordingly to get the answer?
 
That sounds right. The only issue is that with this sort of duration one cannot really talk of a particular frequency, but I guess that's what the problem wants you to neglect.
 
Sounds good. Thanks for the help.
 

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