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Physics
Classical Physics
Optics
Proof of image formation property of spherical mirrors
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[QUOTE="pixel, post: 5484143, member: 566143"] I haven't attempted to follow all of your equations, but since no one has responded yet I'll ask one question - you derived a general equation and then applied the paraxial approximation. So why do you still have trig functions in that equation? For instance, if x[SUB]0[/SUB] ≪ R then R[SUP]2[/SUP] - x[SUB]0[/SUB][SUP]2[/SUP] ≈ R[SUP]2[/SUP] so the argument of the first arctan can be written 2x[SUB]0[/SUB]/R which << 1 in the paraxial approximation. Etc. What I'm guessing is that if you rewrite the equation fully making use of the paraxial approximation then either x[SUB]0[/SUB] and y[SUB]0[/SUB] won't appear, or if they do they would be with other expressions that they are much less than. [/QUOTE]
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Classical Physics
Optics
Proof of image formation property of spherical mirrors
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