Michelson interferometer Definition and 73 Threads

The Michelson interferometer is a common configuration for optical interferometry and was invented by Albert Abraham Michelson. Using a beam splitter, a light source is split into two arms. Each of those light beams is reflected back toward the beamsplitter which then combines their amplitudes using the superposition principle. The resulting interference pattern that is not directed back toward the source is typically directed to some type of photoelectric detector or camera. For different applications of the interferometer, the two light paths can be with different lengths or incorporate optical elements or even materials under test.
The Michelson interferometer (among other interferometer configurations) is employed in many scientific experiments and became well known for its use by Albert Michelson and Edward Morley in the famous Michelson–Morley experiment (1887) in a configuration which would have detected the earth's motion through the supposed luminiferous aether that most physicists at the time believed was the medium in which light waves propagated. The null result of that experiment essentially disproved the existence of such an aether, leading eventually to the special theory of relativity and the revolution in physics at the beginning of the twentieth century. In 2015, another application of the Michelson interferometer, LIGO, made the first direct observation of gravitational waves. That observation confirmed an important prediction of general relativity, validating the theory's prediction of space-time distortion in the context of large scale cosmic events (known as strong field tests).

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  1. J

    Aligning a Michelson interferometer

    Are there any tricks for getting the two arms of a Michelson interferometer exactly equal, if all I have is a CW HeNe laser to align? The real experiment will be using the interferometer on short pulses, so I will only see interference when the path lengths are equal to within 30 microns or so...
  2. A

    Michelson interferometer - maxima and minima

    URGENT! michelson interferometer - maxima and minima Homework Statement If a wave is reflected at a surface of a plate with higher refractive index (eg. At air glass or air-metal) it suffers a λ/2 phase change. Show that for the interferometer, maxima will occur for 2dcosθ = (n+1/2)λ and...
  3. R

    In michelson interferometer, does amplitude of of two waves is

    in michelson interferometer, does amplitude of of two waves is divided. i mean one wave say from fixed mirror has amplitue say A and the wave from moving mirror has amplitude say 0.8A? can we call this coherent source?
  4. O

    Movable mirror of a Michelson interferometer

    i know the question may be a bit stupid to some people, but i seriously don't know how to do it... Homework Statement How far must the movable mirror of a Michelson interferometer, illuminated by a 589-nm source, be displaces for 2000 fringes to move past the reference point? Homework...
  5. M

    What is the slope of the line between A and B on the uneven mirror's surface?

    Homework Statement Basically, there is an interferometer with one perfect mirror and a mirror with varying thickness across it. You shine parallel coherent light, wavelength 633nm, and see an interference pattern. The interference batter is wavy dark and light fringes of varying thickness. Two...
  6. S

    How Many Fringes Shift in a Michelson Interferometer When Air is Evacuated?

    Here's my problem: One of the arms of Michelson interferometer without the compensator consists of a cell 7.5 cm long. How many fringes would be observed shifting if all the air were evacuated from the cell? Use nvac= 1, nair= 1.00029 and the source wavelength 5,000 Angstoms (1 Angstrom =...
  7. N

    Deriving the Michelson Interferometer Equation: d_m = (m[lambda])/2

    does anyone know how to derive this equation regarding the Michelson interferometer: d_m = (m[lambda])/2 where d_m is the physical distance of a micrometer division, m is the number of fringes that crosses a screen given some d_m and lambda is the wavelength of the laser used to create the...
  8. S

    Group delay measurement using Michelson Interferometer

    For my undergraduate project, I have been tasked to measure group delay of dielectric mirrors. I have found only papers that point mainly to use a Michelson interferometer using white light interferometry. I have googled and found how to construct a standard Michelson interferometer. However I...
  9. E

    How Can Straight Line Fringes Be Observed in a Michelson Interferometer?

    Homework Statement Explain how a pattern of straight line fringes of equal thickness can be observed in a michelson interferometer. Homework Equations see diagram 1/3 of the way down page at http://www.holo.com/holo//book/book6&7.html The Attempt at a Solution I really am stuck...
  10. K

    Help me in michelson interferometer

    Homework Statement Find the angular radius of the tenth bright fringe in a Michelson interferometer when the central-path difference (2d) is (i) 1.50 mm and (ii) 1.5 cm. Assume the orange light of a krypton arc is used and that the interference is adjusted in each case so that the first...
  11. K

    Angular radius in michelson interferometer

    Homework Statement Find the angular radius of the tenth bright fringe in a Michelson interferometer when the central-path difference (2d) is (i) 1.50 mm and (ii) 1.5 cm. Assume the orange light of a krypton arc is used and that the interference is adjusted in each case so that the first...
  12. J

    Michelson interferometer - change splitting pattern

    How would you change the splitting patterns for an interferometer? (Specifically a Michelson interferometer, if it matters) How would changing the fixed mirror, movable mirror, etc. affect the pattern? --- We just started learning some optics, and are just supposed to understand this...
  13. J

    How Do You Solve These Michelson Interferometer Problems?

    Homework Statement A Michelson interferometer is operated in a vacuum, using monochromatic light of wavelength 589 nm. The interferometer is set up so that the distances between the moving mirror and the beam splitter and the fixed mirror and the beam splitter are equal. A parallel-sided object...
  14. B

    Michelson Interferometer problem

    Homework Statement A Michelson interferometer operating at a 600nm wavelength has 2.00 cm glass cell in one arm. To begin, the air is pumped out of the cell and mirror M2 is adjusted to produce a bright spot ant the center of the interference pattern. Then a valve is opened and air is slowly...
  15. P

    How to Determine Mirror Movement for Michelson Interferometer Maxima?

    Homework Statement A Michelson interferometer uses light from a sodium lamp. Sodium atoms emit light having wavelengths 589.0 nm and 589.6 nm. The interferometer is intially set up with both arms of equal length (L1=L2) producing a bright spot at the center of the interference pattern. How...
  16. S

    Nightmarish michelson interferometer question

    We have to "closely spaced" frequencies f1 and f2. "The moving mirror moves at a constant speed v. Explain how the Doppler effect on the light reflected from the moving mirror affects the recorded signal as a function of time. Estimate the value of v required to resolve the freq. difference of...
  17. Q

    Interference (Michelson Interferometer)

    Hello, . I have got a Michelson interferometer and measure a laser beam (HeNe @ 633nm). I move the mirror with a step motor of unknown step length and measure the intensity of the beam. I get a nice beat pattern out of that, with "wavelength" of the carrier wave being 14 steps and of the...
  18. B

    Michelson Interferometer and white light fringes

    Hi, I conducted an experiment with the Michelson Inteferometer to obeserve white light fringes but I cannot explain the presence of a central black fringes. I understand a phase shift of pi is introduced in one of the beams but where/how does this shift occur? thanks
  19. M

    Why won't the bright spot in my Michelson Interferometer turn dark?

    Hi all, I've made a Michelson Interferometer with 635 HeNe, and I get nice, contrasty fringes. I have one problem - I cannot get the bright spot in the middle to turn dark! The intensity it has is like bright and brighter, but never dark. Any ideas why? The intensity of the two beams are...
  20. R

    Understanding Phase Difference, Diffraction & Michelson Interferometer

    Can anyone explain the following to me; what is phase difference and coherence? what actually is diffraction and why does it happen (is it something to do with Huygens principle?) why do you observe circular fringes when using the Michelson interferometer your help is much...
  21. M

    Setting up Michelson Interferometer

    I was setting up a Michelson Interferometer the other day & was trying to adjust it so the movable & fixed paths are indentical in length. I could not really tell when they were identical so I asked a colleague. He told me that as the path lengths become equal, the spacing between the rings in...
  22. R

    RI using Michelson Interferometer, help please

    I'm doing a college project, and part of it involves finding the refractive index of a microscope cover slip. I am using a Michelson Interferometer, but the handbook for it is really badly written and coming to pieces, so I am a bit lost. This is what I have got so far: All that may or...
  23. R

    Understanding Interference Fringes in a Michelson Interferometer

    how can you tell whether the interference fringes are moving in or out as you change the distance between the mirrors by rotating the knob clockwise or counterclockwise. say if the circular fringes are moving toward the center of the screen than in what direction the knob is being rotated. my...
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