Hand-Book of Optics

Cover Hand-Book of Optics
Hand-Book of Optics
Dionysius Lardner
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The rays, therefore, incident at the point o, which are capable of being transmitted through the two sur&ces B A and B G of the prism, f will be those whose angles of re&action are greater than j/ o M, and less than pom.
But if L express the limit of transmission; and B the refracting angle of the prism, we shall have .
y OM = L — p'OP = B — L.
The condition, therefore, of transmission at the two surfaces is that the refracting angle of the prism shall be less than twice the limit of transmissi
...on, and the rays which in this case are capable of transmis- sion are those whose angles of refraction at the first surface are greater than the difference between the refracting angle of the prism and the limit of transmission.
To explain the course of a ray which, passing through the prism, fulfils these conditions of transmission, let Abo,^. 318., be the refracting angle, and PO the incident ray.
The prism being supposed to be more dense than the sur- rounding medium, or to have a greater refracting power, the ray p o, in passing through it, will be bent towards the per- pendicular o N, so that the angle of refraction o' o n will ^ Fig.


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