Geometric Optics: Mirrors and Lenses. Mirrors with convex and concave spherical surfaces. Note that θ r = θ i for each ray.

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Presentation transcript:

Geometric Optics: Mirrors and Lenses

Mirrors with convex and concave spherical surfaces. Note that θ r = θ i for each ray.

Spherical aberration

Paraxial rays focus at F.

Rays for image-finding

Inverted image from a concave mirror

Image placed within the focal point

Convex mirror

Finding the image by ray tracing for a converging lens

Finding the image by ray tracing for a diverging lens

An object placed within the focal point of a converging lens produces a virtual image. Example

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