Reflection of Light: Spherical Mirrors — Formula Sheet

f = R/2

CF = x = R/(2cosθ); f = R - x = R - R/(2cosθ)

Right of pole: positive; left of pole: negative

Upward from principal axis: positive; downward: negative

1/v + 1/u = 1/f

x1 x2 = f^2

m = y2/y1 = -v/u

m = -v/u = 1 - v/f = (f-v)/f = f/(f-u)

V_im = -(v^2/u^2) V_om = -m^2 V_om

m_L = dv/du = -m^2

V_im = m_L V_om = -m^2 V_om = -(f/(u-f))^2 V_om

For small aperture mirrors, f = R/2.