Optics mirrors and lenses
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Optics: Mirrors and Lenses. 23-2, 23-3. Plane Mirror. Flat, smooth, regular reflection Image is reversed left to right or front to back. Plane Mirrors. object- -source of diverging light rays; luminous or illuminated image- -point where extended rays apparently intersect

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Plane mirror
Plane Mirror

  • Flat, smooth, regular reflection

  • Image is reversed left to right or front to back

Plane mirrors
Plane Mirrors

  • object--source of diverging light rays; luminous or illuminated

  • image--point where extended rays apparently intersect

  • virtualimage--no source is really there; rays appear to diverge w/o doing so

  • realimage--rays from object converge

Concave mirrors
Concave Mirrors

  • reflects light from inner surface

  • part of hollow a sphere

  • Radius – r from geometric center of sphere

Spherical abberation
Spherical Abberation

  • Parallel rays converge at Focus (F) only if close to principal axis

  • Farther rays converge at a point closer to mirror; therefore, image is a disk NOT a point (fuzzy image)

Spherical abberation1
Spherical Abberation

  • Parabolic mirrors have NO SA L used to focus rays from distant stars to a sharp focus in telescopes

  • Hubble vsflashlights

Real vs virtual images
Real vs Virtual Images

  • Real images – light rays actually converge and pass through the image. Can be projected onto paper or a screen

  • Virtual image – light rays diverge; cannot be projected or captured on paper/screen since rays DO NOT converge

Da rules
Da Rules

  • Rays parallel to Primary Axis reflect through the Focus

  • Rays passing thru focus are reflected parallel to Primary Axis

  • Rays perpendicular to mirror are reflected back upon themselves and goes through the center of curvature.

Da rules 2
Da Rules 2

  • Beyond C – if object farther from mirror than C, then image is real, inverted and reduced

  • As object moves toward C then images move toward C and are real, inverted and reduced

  • If the object is at C, then the image is at C and is real inverted and the same size

  • If the object is inside C toward F then the image out beyond C, and is real, inverted, and enlarged

Convex mirror rules 3
Convex Mirror Rules 3

  • As the object approaches F – the image moves farther out

  • If the object is at F – then all reflected rays are parallel, image at ∞

Convex mirror rules 4
Convex Mirror Rules 4

  • If object between F & mirror – then no real image exists, virtual image behind mirror

Mirror and lens equation
Mirror and Lens Equation

  • ho/hi = do/di

  • 1/do + 1/di = 1/f


  • m = hi/ho = -di/do