- #1

MrMoose

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## Homework Statement

A laser beam of intensity I reflects from a flat, totally reflecting surface of area A whose normal makes an angle θ with the direction of the beam. Write an expression for the radiation pressure Pr[θ] exerted on the surface, in terms of the pressure Pr[p] that would be exerted if the beam were perpendicular to the surface.

## Homework Equations

Radiation Pressure equation for total reflection back along the original path.

Pr[p] = 2*I/c

## The Attempt at a Solution

See attached picture.

Assuming F[θ] = F[p] = I*A / c

Use geometry to find F[θ]y

F[θ]y = Cos(θ) * F[θ]

Divide the equation by A to find pressure:

Pr[θ]y = Cos(θ) * Pr[θ]

Assuming Pr[θ] = Pr[p]

Pr[θ]y = Cos(θ) * Pr[p]

Since the beam is totally reflected, multiply by 2,

Pr[θ]y = 2 * Cos(θ) * Pr[p]

The correct answer is (Cos(θ))^2*Pr[p]

I'm really lost. I don't know how the cos function gets squared. Please help. Thanks in advance, MrMoose