Access over 20 million homework & study documents

Applications of Prisms and Math

Content type
User Generated
Type
Study Guide
Rating
Showing Page:
1/13
Subject- Mathematics
Topic- Applications of Prisms and Math
University Name- Wesleyan University

Sign up to view the full document!

lock_open Sign Up
Showing Page:
2/13
Missing Figures
Prisms and their Applications
Introduction
A prism is one or several blocks of glass, through which light passes and refracts and reflects off
its straight surfaces. Prisms are used in two fundamentally different ways. One is changing the
orientation, location, etc. of an image or its parts, and another is dispersing light as in a
refractometers and spectrographic equipment. This project will only deal with the first use.
Consider an image projected onto a screen with parallel rays of light, as opposed to an image
formed by the same rays that are passed through a cubic prism (assume that the amount of light
that is reflected is negligible). The rays that pass through the prism will not be refracted since the
angle of refraction = sin-1(sin(0)/n) = 0, or reflected, so the images will be exactly the same.
More generally, if the rays enter and leave a prism at right angles (Assuming the rays only travels
through one medium while passing through the prism), the only effect on the image will be the
reflection of the rays off of its surfaces. Since the law of reflection I= -I’ (Angle of incidence
equals the negative of the angle of reflection) is not effected by the medium, the effect of the
prism will be same as that of reflective surfaces or mirrors placed in the same location as the
reflective surfaces of the prism. It follows that to understand prisms it is important to understand
how mirrors can be used to change the direction of rays.
Mirror Location
Problem 1:
Consider the following example:
A horizontal ray is required to undergo a 45º-angle change and this has to be achieved using a
mirror. We need to find how the mirror should be oriented to achieve the desired change of
angle.

Sign up to view the full document!

lock_open Sign Up
Showing Page:
3/13

Sign up to view the full document!

lock_open Sign Up
End of Preview - Want to read all 13 pages?
Access Now
Unformatted Attachment Preview
Subject- Mathematics ? Topic-?Applications of Prisms and Math University Name- Wesleyan University ? Missing Figures? Prisms and their Applications? Introduction? A prism is one or several blocks of glass, through which light passes and refracts and reflects off its straight surfaces. Prisms are used in two fundamentally different ways. One is changing the orientation, location, etc. of an image or its parts, and another is dispersing light as in a refractometers and spectrographic equipment. This project will only deal with the first use.? Consider an image projected onto a screen with parallel rays of light, as opposed to an image formed by the same rays that are passed through a cubic prism (assume that the amount of light that is reflected is negligible). The rays that pass through the prism will not be refracted since the angle of refraction = sin-1(sin(0)/n) = 0, or reflected, so the images will be exactly the same. More generally, if the rays enter and leave a prism at right angles (Assuming the rays only travels through one medium while passing through the prism), the only effect on the image will be the reflection of the rays off of its surfaces. Since the law of reflection I= -I' (Angle of incidence equals the negative of the angle of reflection) is not effected by the medium, the effect of the prism will be same as that of reflective surfaces or mirrors placed in the same location as the reflective surfaces of the prism. It follows that t ...
Purchase document to see full attachment
User generated content is uploaded by users for the purposes of learning and should be used following Studypool's honor code & terms of service.

Anonymous
Very useful material for studying!

Studypool
4.7
Trustpilot
4.5
Sitejabber
4.4