Calculating the Period of Fringe Pattern for Michelson Interferometer

cryforhelp104
Messages
7
Reaction score
1
Homework Statement
Given the wavelength of the beam of light, and the displacement of one of the mirrors, how would one go about finding the fraction of a period the fringe pattern will move as a result of the mirror displacement?
Relevant Equations
ฮ”๐‘‘=๐‘š(๐œ†0/2), I0=2I0 - 2I0 cos (2kdL or 2wt), dL=L1-L2
In a Michelson Interferometer when Mirror 1 is moved a distance ฮ”๐‘‘=๐œ†0/2ฮ”, this path difference changes by ๐œ†0, and each fringe moves to the position previously occupied by an adjacent fringe. ฮ”๐‘‘=๐‘š(๐œ†0/2)

I also know from the equation for I0=2I0 - 2I0 cos (2kdL or 2wt) that the fringes shift by a phase 2kdL or 2wt(omega tau). I'm unsure what to do , though, given that I am only provided the beam's wavelength and mirror 1's displacement. I'd appreciate any help!
 

Thread 'Initial conditions for orbits around a wormhole'

Hi, I had an exam and I completely messed up a problem. Especially one part which was necessary for the rest of the problem. Basically, I have a wormhole metric: $$(ds)^2 = -(dt)^2 + (dr)^2 + (r^2 + b^2)( (d\theta)^2 + sin^2 \theta (d\phi)^2 )$$ Where ##b=1## with an orbit only in the equatorial plane. We also know from the question that the orbit must satisfy this relationship: $$\varepsilon = \frac{1}{2} (\frac{dr}{d\tau})^2 + V_{eff}(r)$$ Ultimately, I was tasked to find the initial...
View full post »

Thread 'Help to convert units of a simple formula'

The value of H equals ## 10^{3}## in natural units, According to : https://en.wikipedia.org/wiki/Natural_units, ## t \sim 10^{-21} sec = 10^{21} Hz ##, and since ## \text{GeV} \sim 10^{24} \text{Hz } ##, ## GeV \sim 10^{24} \times 10^{-21} = 10^3 ## in natural units. So is this conversion correct? Also in the above formula, can I convert H to that natural units , since itโ€™s a constant, while keeping k in Hz ?
View full post »

Similar threads

I Why do we always see interference pattern in Michelson interferometer?
Replies
9
Views
3K
Special Relativity: Rotated Michelson Interferometer
Replies
1
Views
3K
B How are 'fringe shifts' in the Michelson-Morley experiment calculated?
Replies
9
Views
3K
Michelson interferometer moves and bright fringes disappear
Replies
1
Views
2K
How Can Straight Line Fringes Be Observed in a Michelson Interferometer?
Replies
2
Views
3K
Michelson Interferometer, Optics Derivation
Replies
1
Views
5K
I Michelson interferometer dimensions
Replies
1
Views
1K
Michelson interferometer - maxima and minima
Replies
1
Views
5K
Fringe Visibility of Sodium Doublet in Michelson interferometer
Replies
8
Views
5K
How Does a Michelson Interferometer Measure the Thickness of a Piece of Plastic?
Replies
1
Views
1K

Hot Threads

Recent Insights

Back
Top