A common trick in fiber optics is to send several colors of light down the same fiber (this is a form of what's called multiplexing). Each color of light can carry a separate signal, letting you squeeze more information into your beam. This, of course, leaves you with the problem of how to separate the colors back out once your beam gets to where its going. One way to do this involves total internal reflection. The index of refraction of glass isn't fixed; it's actually a function of frequency. Specifically, the index of the glass n and the angular frequency ω of the light are related by the equation below. Since different colors of light see different indices of refraction, different colors of light will see different critical angles. Suppose we have a beam with green light (frequency ω=3.7e+15 rad/s and red light (frequency ω=2.9e+15 rad/s traveling through this glass. Eventually, it's going to hit a glass-air boundary. At what angle of incidence θ should the light hit the boundary if we want the green light to stay in the glass and the red light to leave? Choose the smallest angle of incidence that works, and enter it in degrees (unit "deg").

A common trick in fiber optics is to send several colors of light down the same fiber (this is a form of what's called multiplexing). Each color of light can carry a separate signal, letting you squeeze more information into your beam. This, of course, leaves you with the problem of how to separate the colors back out once your beam gets to where its going. One way to do this involves total internal reflection. The index of refraction of glass isn't fixed; it's actually a function of frequency. Specifically, the index of the glass n and the angular frequency ω of the light are related by the equation below. Since different colors of light see different indices of refraction, different colors of light will see different critical angles. Suppose we have a beam with green light (frequency ω=3.7e+15 rad/s and red light (frequency ω=2.9e+15 rad/s traveling through this glass. Eventually, it's going to hit a glass-air boundary. At what angle of incidence θ should the light hit the boundary if we want the green light to stay in the glass and the red light to leave? Choose the smallest angle of incidence that works, and enter it in degrees (unit "deg").

Similar questions

The index of refraction of the core of a piece of fiber optic cable is 1.72. If the index of the surrounding cladding is 1.41, what is the critical angle for total internal reflection for a light ray in the core incident on the core-cladding interface? a 55.1° b 44.0⁰ c 49.6° d 60.6°
The figure shows an optical fiber in which a central plastic core of index of refraction n1 = 1.60 is surrounded by a plastic sheath of index of refraction n2 = 1.52. Light can travel along different paths within the central core, leading to different travel times through the fiber. This causes an initially short pulse of light to spread as it travels along the fiber, resulting in information loss. Consider light that travels directly along the central axis of the fiber and light that is repeatedly reflected at the critical angle along the core-sheath interface, reflecting from side to side as it travels down the central core. If the fiber length is 370 m, what is the difference in the travel times along these two routes? NUmber i 99 Units ns
The figure below shows the path of a beam of light through several layers with different indices of refraction. (Assume n = 1.02.) e₁ n = 1.60 02 n = 1.40 n = 1.20 MA (a) If ₁ = 28.0°, what is the angle 2 of the emerging beam? o 1 (b) What is the smallest incident angle ₁ to have total internal reflection at the surface between the medium with n = 1.20 and the medium with Па = 1.02?
A beaker with a mirrored bottom is filled with a liquid whose index of refraction is nliq = 2.37. A light ray from air strikes the top surface of the liquid at an incident angle θin = 72.9° from the normal line to the liquid surface, as shown in the figure. What is the refraction angleθ1 of the light ray as it enters the liquid (in degrees; remember to use the scientific notation of numbers)?
A beam of light traveling through air is incident up a transparent material at an angle of ??θi=70.43 degrees as shown in the image below. If the angle of the transmitted ray (??θt) as measured with respect to the direction normal to the surface of the material (dashed line in the image below) is 29.72 degrees, what is the index of refraction of of the material?
X rays are typically used to kill off cancer cells, however an issue some radiologists run into is the damage an x-ray may do to surrounding tissue. Because of this, accuracy plays a key role in radiation therapy. Suppose you are a medical physicist, and you have been given the task of choosing a medium with a proper index of refraction to bend the x rays such that they only hit the tumor. Suppose you know that the x ray comes in at an angle of 20 degrees with respect to the normal of your second medium. You know the tumor expands out to 5 degrees on either side of the normal what is the minimum index of refraction needed for the x ray to hit the tumor
A ray of light crosses the boundary between some substance with n = 1.54 and air, going from the substance into air. If the angle of incidence is 29◦ what is the angle of refraction? Calculate to 1decimal.
A ray of light is incident on an air/water interface. The ray makes an angle of θ1 = 29 degrees with respect to the normal of the surface. The index of the air is n1 = 1 while water is n2 = 1.33. Write an expression for the reflection angle ψ, with respect to the surface.
An engineer is carrying out an experiment to determine the index of refraction for a partially reflective material. To do this, she aims a narrow beam of light at a sample of this material, which has a smooth surface. She then varies the angle of incidence. (The incident beam is traveling through air.) The light that gets reflected by the sample is completely polarized when the angle of incidence is 59.5°. (a)What index of refraction describes the material? n = (b)If some of the incident light (at ?i = 59.5°) enters the material and travels below the surface, what is the angle of refraction (in degrees)?
The index of refraction of a certain glass is (1.44x10^0). What is the critical angle for total internal reflection at the glass-air interface? Express your result in degrees with three significant figures.
Fiber optic cables, such as those used for high-speed communication (Internet & phone services), transmit signals as light pulses through transparent cables. When viewed from one of the ends, you can see these light pulses, but when viewed from the side you can't. Using your knowledge about reflection and refraction, explain how this might work. Is there some physical limitation where this might not work?