Optics (9)

Variable

Description

 

 

θ1

Angle of incidence

θ2

Angle of refraction

θB

Brewster angle

θc

Critical angle

fFocal length

mMagnification

n, n1, n2

Index of refraction

r, r1, r2

Radius of curvature

uDistance to object

vDistance to image

For reflection and refraction problems, the focal length and radius of curvature are positive in the direction of the outgoing light (reflected or refracted). The object distance is positive in front of the surface. The image distance is positive in the direction of the outgoing light (reflected or refracted). The magnification is positive for an upright image. Reference: 3.

Law of Refraction (9, 1)

Equation:

n1 SIN1) = n2 SIN2)

Example:

Given: n1=1, n2=1.333, θ1=45_°.

Solution: θ2=32.0367_°.

Equation Reference 5-37