A glass optical fiber "captures" a ray of light by imposing total internal reflection upon that ray, many times over. Once inside the glass, such a ray will undergo total internal reflection if it strikes the boundary between glass and air at an angle of incidence that is greater than the critical angle. Suppose that an optical fiber is flat on one end, with the end surface at right angles to the fiber's long axis, as shown. A rod with its long axis in a horizontal orientation is shown. A horizontal, dashed line cuts through the center of the rod. A beam moving up and to the right strikes the left end of the rod at an angle ?iwith the horizontal. A laser beam is directed toward the center of the flat surface at the end of this fiber, at an incidence angle ?i with respect to the normal, as shown. The beam refracts toward the central axis of the fiber (here a dashed line) as it enters the glass. It then reaches the outer edge of the fiber. What is the greatest value (in degrees) for ?i that will allow total internal reflection to occur at the outer edge? (Assume that the fiber material has an index of refraction of 1.30, and that air surrounds the fiber.) answer in degrees.
A glass optical fiber "captures" a ray of light by imposing total internal reflection upon that ray, many times over. Once inside the glass, such a ray will undergo total internal reflection if it strikes the boundary between glass and air at an angle of incidence that is greater than the critical angle. Suppose that an optical fiber is flat on one end, with the end surface at right angles to the fiber's long axis, as shown. A rod with its long axis in a horizontal orientation is shown. A horizontal, dashed line cuts through the center of the rod. A beam moving up and to the right strikes the left end of the rod at an angle ?iwith the horizontal. A laser beam is directed toward the center of the flat surface at the end of this fiber, at an incidence angle ?i with respect to the normal, as shown. The beam refracts toward the central axis of the fiber (here a dashed line) as it enters the glass. It then reaches the outer edge of the fiber. What is the greatest value (in degrees) for ?i that will allow total internal reflection to occur at the outer edge? (Assume that the fiber material has an index of refraction of 1.30, and that air surrounds the fiber.) answer in degrees.
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter38: Refraction And Images Formed By Refraction
Section: Chapter Questions
Problem 106PQ
Related questions
Concept explainers
Refraction of Light
Refraction is a change in the direction of light rays when they travel from one medium to another. It is the bending of light when it goes through different media.
Angle of Refraction
Light is considered by many scientists to have dual nature, both particle nature and wave nature. First, Particle nature is one in which we consider a stream of packets of energy called photons. Second, Wave nature is considering light as electromagnetic radiation whereas part of it is perceived by humans. Visible spectrum defined by humans lies in a range of 400 to 700 nm wavelengths.
Index of Refraction of Diamond
Diamond, the world’s hardest naturally occurring material and mineral known, is a solid form of the element carbon. The atoms are arranged in a crystal structure called diamond cubic. They exist in a huge variety of colours. Also, they are one of the best conductors of heat and have a very high melting point.
Question
A glass optical fiber "captures" a ray of light by imposing total internal reflection upon that ray, many times over. Once inside the glass, such a ray will undergo total internal reflection if it strikes the boundary between glass and air at an angle of incidence that is greater than the critical angle.
Suppose that an optical fiber is flat on one end, with the end surface at right angles to the fiber's long axis, as shown.
A rod with its long axis in a horizontal orientation is shown. A horizontal, dashed line cuts through the center of the rod. A beam moving up and to the right strikes the left end of the rod at an angle ?iwith the horizontal.
A laser beam is directed toward the center of the flat surface at the end of this fiber, at an incidence angle ?i with respect to the normal, as shown. The beam refracts toward the central axis of the fiber (here a dashed line) as it enters the glass. It then reaches the outer edge of the fiber.
What is the greatest value (in degrees) for ?i that will allow total internal reflection to occur at the outer edge? (Assume that the fiber material has an index of refraction of 1.30, and that air surrounds the fiber.)
answer in degrees.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Recommended textbooks for you
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Physics for Scientists and Engineers with Modern …
Physics
ISBN:
9781337553292
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
University Physics Volume 3
Physics
ISBN:
9781938168185
Author:
William Moebs, Jeff Sanny
Publisher:
OpenStax
An Introduction to Physical Science
Physics
ISBN:
9781305079137
Author:
James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Publisher:
Cengage Learning