A = (s, y)1. Derive the equation for the mirror surface such that light incident on theleft, from a source at infinity, will be focused at F. The equation should bewritten only in terms of s, y and f (the curve will map out points like A withcoordinates s and y). You do not need to simplify the equation.Cyincident rayf=rt8S=2¢? =7 2rt28A-(sn2f =nr topscorsftJpetyz1

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Asked Dec 18, 2019
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A = (s, y)
1. Derive the equation for the mirror surface such that light incident on the
left, from a source at infinity, will be focused at F. The equation should be
written only in terms of s, y and f (the curve will map out points like A with
coordinates s and y). You do not need to simplify the equation.
Cy
incident ray
f=rt8
S=2¢? =7 2rt28
A-(s
n2f =nr top
scor
sftJpetyz
1
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A = (s, y) 1. Derive the equation for the mirror surface such that light incident on the left, from a source at infinity, will be focused at F. The equation should be written only in terms of s, y and f (the curve will map out points like A with coordinates s and y). You do not need to simplify the equation. Cy incident ray f=rt8 S=2¢? =7 2rt28 A-(s n2f =nr top scor sftJpetyz 1

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Expert Answer

Step 1

The figure shows the light incident from a source at infinity.

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4=(s,v) B

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Step 2

Using the Pythagoras theorem in triangle AFO.

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AF' = AO' + FO = y* + (f - s)° AF = y* +(f - s)* [1]

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Step 3

According to the law of reflection, the angle of in...

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1 =r [2] 12)

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