Paraxial approximation: Difference between revisions

Revision as of 13:35, 6 July 2014

Revision as of 08:51, 26 August 2014

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{{cite web

| title=Paraxial approximation error plot

| url=[http://www.wolframalpha.com/input/?i=Plot[%5B{%28x+Deg+-+Sin[x%5Bx+Deg]%5D%29%2FSin[x%5Bx+Deg]%5D%2C+%28Tan[x%5Bx+Deg]%5D+-+x+Deg%29%2FTan[x%5Bx+Deg]%5D%2C+%281+-+Cos[x%5Bx+Deg]%5D%29%2FCos[x+Deg]%2C%281-%28x5Bx+Deg%29^2%2F2-cos[x+Deg]%29%2FCos[x+Deg]5D}%2C+{x%2C+0%2C+15}%5D Plot]

| work=[[Wolfram Alpha]]

| publisher=[[Wolfram Research]]

| accessdate=1526 JanuaryAugust 2014}}</ref>

<!-- This plots the error plot of the paraxial approximation, i.e. the 3 curves for small angles: Plot[{(x Deg - Sin[x Deg])/Sin[x Deg], (Tan[x Deg] - x Deg)/Tan[x Deg], (1 - Cos[x Deg])/Cos[x Deg]}, {x, 0, 15}] -->

For larger angles it is often necessary to distinguish between [[meridional ray]]s, which lie in a plane containing the [[optical axis]], and [[sagittal ray]]s, which do not.