What is the equation for calculating crystal length using index of refraction?

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Homework Help Overview

The original poster presents a problem involving a 100 fs pulse of 400 nm light passing through a CaF2 crystal, which expands in width after transmission. The poster seeks an equation to determine the length of the crystal based on the observed changes in pulse width.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the concept of dispersion and its relation to the index of refraction, questioning how these factors might relate to the problem at hand.

Discussion Status

There is an ongoing exploration of the relationship between the index of refraction and dispersion, with some participants clarifying the distinction between these concepts. No consensus has been reached on the specific equation needed for the calculation.

Contextual Notes

Participants are considering the implications of the index of refraction value provided and its relevance to the problem, while also noting the need for clarity on dispersion in the context of the original question.

Leggit9
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Hey,

The question sounds like this: I have 100 fs 400 nm pulse passing through the CaF2 crystal. After passing, it gets twice wider (200 ps). What is the length of the crystal?

Can anyone share the equation which would help me to calculate this?

Thank you in advance!
 
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The dispersion?
 
DrDu said:
The dispersion?

n = 1.4419 @ 400nm
 
That's the index of refraction, not it's dispersion.
 

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