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Compute the irradiance at a point due to a unit-radius disk h units directly above its normal with constant outgoing radiance of 10 W/m2 sr. Do the computation twice, once as an integral over solid...

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Compute the irradiance at a point due to a unit-radius disk h units directly above its normal with constant outgoing radiance of 10 W/m2 sr. Do the computation twice, once as an integral over solid angle and once as an integral over area. (Hint: If the results don’t match at first, see Section 13.6.2.)
Answered 133 days After May 24, 2022

Solution

Baljit answered on Oct 04 2022
58 Votes
Given Radiance L= 10W/m2S
We have disc shaped light source having unit radius. Distance between source and point is h directly above normal of disc
1. Integral over solid angle
E=
Here is angle between normal to disc and Vector to point p, d is distance between point p and dA
In our Case...
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