What's the paraxial approximation, in spherical mirrors? start from the equation (x R)* + y? = R²,which represents a circle of radius R with the center at a = R, and solve for æ. Now use Taylor expansion to show that the circle can be approximated as parabola, for small ys. Find the relationship between the radius and focal length.
What's the paraxial approximation, in spherical mirrors? start from the equation (x R)* + y? = R²,which represents a circle of radius R with the center at a = R, and solve for æ. Now use Taylor expansion to show that the circle can be approximated as parabola, for small ys. Find the relationship between the radius and focal length.
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Transcribed Image Text:What's the paraxial approximation, in spherical mirrors? start from the equation (x
R)* + y? = R²,which represents a circle of radius Rwith the center at x = R, and
solve for x. Now use Taylor expansion to show that the circle can be approximated as parabola, for small ys. Find the relationship between the radius and focal length.
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