Wavelength of a laser beam emerging from a prism

In summary, when sending a laser beam through a prism, there won't be a shift in the laser frequency, but there may be some loss of coherence due to phase noise from variations in the index of refraction and thermodynamic fluctuations. This effect is more noticeable in an optical fiber, where demonstrations can be done using birefringence and simple equipment.
  • #1
Andrew Wright
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Summary:: If you send a laser beam through a prism, can you measure any shift in wavelength at the other side of it?

This sounds like a high school experiment and the concept is simple. I feel the laser should emerge monochromatic and at the same wavelength it went in.

Do you get this result if you set it up in a university lab with accurate frequency detection tech?
 
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  • #2
No, there won't be a shift of the laser frequency. You may lose some monochromaticity (coherence), depending on the prism.

At a minute level, there is some phase noise from variations in the index of refraction within the prism. It won't shift the wavelength, but it will add some fluctuations to the wavelength. Even in the absence of thermal drifts, there's thermodynamic fluctuations of the temperature within the bulk of the prism, which will cause some loss of coherence of the laser beam. However, these effects aren't really noticeable for a prism. Where you really see it is in an optical fiber.

You could do a demonstration of these phase fluctuations by taking advantage of the birefringence of the fiber with a couple hundred dollars worth of budget. You'd need a single mode fiber, a visual fault indicator or other fiber laser, a fiber collimator, and some polarizing film. If you want to get fancier, throw in a photodiode and an oscilloscope. You can cause a large change in the phase shift of the light in the fiber (and thus its output polarization, after traveling through the birefringent fiber) by bending or heating the fiber. Just don't bend it too far or it'll break and cut you! Think the radius of a Sharpie marker or bigger.
 

FAQ: Wavelength of a laser beam emerging from a prism

What is the relationship between the wavelength of a laser beam and the angle of refraction from a prism?

The wavelength of a laser beam is directly related to the angle of refraction from a prism. As the angle of refraction increases, the wavelength of the laser beam also increases. This relationship is known as Snell's Law.

How does the material of a prism affect the wavelength of a laser beam?

The material of a prism can affect the wavelength of a laser beam by causing dispersion. Different materials have different refractive indices, which can cause the laser beam to bend at different angles and therefore have different wavelengths.

Can the wavelength of a laser beam be changed by adjusting the angle of the prism?

Yes, the wavelength of a laser beam can be changed by adjusting the angle of the prism. This is due to the relationship between the angle of refraction and the wavelength, as explained by Snell's Law.

How does the thickness of a prism affect the wavelength of a laser beam?

The thickness of a prism does not directly affect the wavelength of a laser beam. However, a thicker prism may cause the laser beam to travel a longer distance, which can result in a slight change in wavelength due to dispersion.

What factors can cause variations in the wavelength of a laser beam emerging from a prism?

Several factors can cause variations in the wavelength of a laser beam emerging from a prism, including the material and thickness of the prism, the angle of incidence, and any imperfections in the prism's surface. Additionally, environmental factors such as temperature and air density can also affect the wavelength of the laser beam.

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