Calculating Refractive Index for Extraordinary Ray in Calcite Crystal

In summary, the question discusses the calculation of the refractive index for an extraordinary ray passing through a calcite crystal at an angle of 30 degrees with the optic axis. The relative dielectric constants for light polarized parallel and perpendicular to the optic axis are given as 2.208 and 2.749, respectively. The possible use of Snell's law and Brewster's angle is mentioned, and the attempted solution involves taking the square root of 2.749. The correct refractive index, according to the actual solution, is 1.61. The concept of total internal reflection in a polarizing beam-splitter is also brought up.
  • #1
v_pino
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Homework Statement


A beam of light travels through a calcite crystal such that its wave vector makes an angle of 30degrees with the optic axis. Calculate the refractive index experienced by the extraordinary ray if the relative dielectric constants for light polarized parallel and perpendicular to the optic axis are 2.208 and 2.749, respectively.


Homework Equations


Perhaps Snell's law? : n1 sin(theta1) = n2 sin(theta2)
Should I set it as Brewsters angle?

The Attempt at a Solution



I've also tried square-rooting 2.749 which gives me a similar answer to the actual solution.

The actual solution should be 1.61
 
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  • #2
Could this be to do with total internal reflection in a polarizing beam-splitter?
 

1. What is Snell's law?

Snell's law, also known as the law of refraction, is a formula that describes the relationship between the angle of incidence and the angle of refraction when a light ray passes through the boundary between two different mediums, such as air and water.

2. Who discovered Snell's law?

Snell's law was first discovered by Dutch mathematician and astronomer Willebrord Snellius in 1621. However, it was later independently rediscovered by French lawyer and scientist René Descartes in 1637.

3. What is the formula for Snell's law?

The formula for Snell's law is n1sinθ1 = n2sinθ2, where n1 and n2 are the indices of refraction for the two mediums, and θ1 and θ2 are the angles of incidence and refraction, respectively.

4. What is the index of refraction?

The index of refraction is a measure of how much a material can bend light. It is defined as the ratio of the speed of light in a vacuum to the speed of light in the given medium. The higher the index of refraction, the more the light will bend when passing through the medium.

5. What are some real-life applications of Snell's law?

Snell's law has many practical applications, including in fiber optics, lenses, and prisms. It is also used in the design of eyeglasses and camera lenses, as well as in the study of optics and light behavior in various mediums.

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