How Do You Calculate Group and Phase Velocities for a 550nm Wavelength?

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Homework Help Overview

The discussion revolves around calculating group and phase velocities for a wavelength of 550nm, utilizing provided formulas and a reference tab. The subject area includes wave mechanics and optics.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the determination of the refractive index (n) for the specified wavelength using a reference tab. Questions arise regarding the validity and applicability of the formulas provided for phase and group velocities.

Discussion Status

The conversation is ongoing, with participants exploring the need for interpolation to find the refractive index and questioning the assumptions behind the formulas. Some guidance has been offered regarding the use of interpolation, but there is no consensus on the applicability of the equations.

Contextual Notes

Participants note that one individual was absent during a relevant class, which may affect their understanding of the concepts discussed. There are concerns about the general applicability of the equations in the context of electromagnetic waves.

Dassinia
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Hello

Homework Statement


I have this tab
http://img18.imageshack.us/img18/3317/eyph.png

Anf I have to find the group and phase velocities for a wavelength λ=550nm

Homework Equations


v(phase)= c/n

v(group)=dw/dk

v(phase)*v(group)=c²/n²


The Attempt at a Solution


I don't know how I can determine n for the wavelength of 550nm using the tab ?
I was absent the day of this course
Can I use the relation v(phase)*v(group)=c²/n² ?

Thanks !
 
Last edited by a moderator:
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Dassinia said:
v(phase)= c/n
v(phase)*v(group)=c²/n²
Where do those two formulas come from? Where are they valid? Can you use them here?

I don't know how I can determine n for the wavelength of 550nm using the tab ?
Do an interpolation.
I was absent the day of this course
Interpolation is a much more general concept you should know.
 
The formulas come from my book, for electromagnetic waves.
Why can't I use them ?
OK, so I'll do an interpolation !
Thanks
 
Those equations would give v(phase)=v(group) everywhere, which is not true.
Please check how they got defined, and where they are applicable.
 

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