Michelson Interferometer with a lens

In summary, a Michelson Interferometer with a lens is an interferometer that uses a beam splitter, two mirrors, and a lens to measure the wavelength and other optical properties of light. It works by splitting a beam of light, reflecting it off a fixed and movable mirror, and then recombining the beams to create an interference pattern that can be observed with a lens. Its advantages include high precision and relative simplicity and cost, while its applications include measuring refractive index and speed of light, as well as imaging techniques. However, its limitations include sensitivity to vibrations and external disturbances, and its limited range in measuring optical properties.
  • #1
zefanya
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Homework Statement
This Michelson interferometer is based on a laser with a wavelength of 513 nm. The laser beam first passes though a negative lens with f = -20 mm and then through a positive lens with f = 200 mm. The distance between the lenses is 160 mm. The optical path length from the last lens to the end screen is for the first arm 1200 mm and for the second 1210 mm. How many interference fringes are visible with a radius of 80 mm?
Relevant Equations
2d = mλ
2 d = (m + 1/2)λ
Hello everyone, i have a homework but I'm so confused how to solved it , can someone make a solution manual for this homework?, Thankyou.
 
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  • #2
Hello @zefanya ,
:welcome: ##\qquad ## !

with a radius of 80 mm
'with' ? or 'within'? Makes a difference !
zefanya said:
solution manual for this homework
That would only rob you of the exercise, so it is utterly unproductive. Just work your way through:
  • Start with some sketches to clarify the setup
  • Jotting down equations is one thing. Clarify what the symbols stand for and where they fit in the drawing
  • Check if your work and the problem statement agree. Fringes ?
##\ ##
 
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Likes SammyS

1. What is a Michelson Interferometer with a lens?

A Michelson Interferometer with a lens is a type of interferometer that uses a lens to focus the light beams onto a detector. It is a tool commonly used in optics and physics experiments to measure the properties of light waves.

2. How does a Michelson Interferometer with a lens work?

The Michelson Interferometer with a lens works by splitting a beam of light into two paths using a partially reflective mirror. The two beams travel different distances before recombining and creating an interference pattern. The lens is used to focus the beams onto a detector, allowing for precise measurements of the interference pattern.

3. What are the advantages of using a Michelson Interferometer with a lens?

One advantage of using a Michelson Interferometer with a lens is its ability to measure small changes in the properties of light waves. It is also a relatively simple and inexpensive tool compared to other interferometers. Additionally, the use of a lens allows for easier alignment and more accurate measurements.

4. What are the applications of a Michelson Interferometer with a lens?

A Michelson Interferometer with a lens has a wide range of applications in various fields, including astronomy, optics, and spectroscopy. It can be used to measure the wavelength, frequency, and speed of light, as well as to detect small changes in the properties of materials.

5. Are there any limitations to using a Michelson Interferometer with a lens?

One limitation of using a Michelson Interferometer with a lens is that it is sensitive to vibrations and external disturbances, which can affect the accuracy of the measurements. It also requires precise alignment and calibration to obtain accurate results. Additionally, it may not be suitable for measuring certain types of light waves, such as infrared or ultraviolet.

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