Notes on Magnification and Spherical Mirrors

Magnification Concepts

Areal magnification (MA) quantifies the ratio of the area of an image to the area of an object. For a two-dimensional object placed perpendicular to the principal axis, areal magnification simplifies to linear magnification definitions.

Spherical Mirror Image Formation

For a spherical mirror that produces an image:

  • The relationship between distance (u), magnification (M), and image distance (v) forms the basis of the equations:
    M=h′h=−vuM = \frac{h'}{h} = -\frac{v}{u}
    where ( h' ) is the height of the image and ( h ) is the height of the object.

  • The focal length (f) is determined by the equation:
    f=−1Muf = -\frac{1}{M} u
    It links the object distance with magnification and image position, ensuring consistent relations across images produced by spherical mirrors.