Focal length of diffraction grating for recip. dispersion

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Homework Help Overview

The discussion revolves around the concept of focal length in relation to a diffraction grating setup involving a laser. The original poster questions whether the focal length should be measured from the grating to the laser or from the grating to the resulting image.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the definition of focal length in the context of diffraction gratings and question the validity of its application. The original poster seeks to understand how to calculate linear reciprocal dispersion and whether it is applicable to diffraction gratings.

Discussion Status

The conversation is ongoing, with some participants providing guidance on structuring the problem statement and emphasizing the importance of clearly defined variables and relationships. There is acknowledgment that dispersion can be relevant for gratings, indicating a potential pathway for further exploration.

Contextual Notes

Participants note the need for a complete problem statement and relevant equations to clarify the relationships between the variables involved. There is an indication that assumptions about focal length may need to be reconsidered in the context of diffraction gratings.

magnesium12
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Homework Statement


What would the focal length be of a diffraction grating if the set up is a laser placed 1 m from the 0 order diffraction?
Would it be the distance from the grating to the laser or the distance from the grating to the image?

Homework Equations


1/f = 1/o + 1/i
Rd = [Df]-1
D=[sina + sinb]/λcosb
sina = 0

The Attempt at a Solution

 
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There is no such things as a focal length for a diffraction grating. What makes you think there is ?
 
I assumed there was because I need to calculate the linear reciprocal dispersion of a first and second order diffraction and the formula is Rd = [Df]-1 where f is focal length (in my notes).
Is it possible to find a linear reciprocal dispersion for a diffraction grating at all?
 
Perhaps you should start with a complete and concise problem statement with all the variables clearly described. And then the relevant equations should establish relationships between those variables. By the time that's sorted out the problem is a mathematical problem. In the solution attempt you try to manipulate the relationships until the quantity that is asked for is expressed uniquely in terms of the given data.

There is such a thing as dispersion for a grating, so don't despair :smile:
 

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