Flux per unit projected area per unit solid angle,

AI Thread Summary
The discussion centers on the mathematical expression for flux per unit projected area per unit solid angle, represented as L = ∂Φ/(∂(cos Θ) ∂Ω). Participants express confusion regarding the notation and whether it follows conventional rules, with one suggesting a possible typo in a referenced source. A comparison is made to an alternative expression that seems more logical, L = ∂²Φ/(∂(Acos Θ) ∂Ω). The conversation concludes with one participant deciding to contact the author of the source material to clarify the potential error. This highlights the importance of accuracy in scientific notation and communication.
Somefantastik
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"flux per unit projected area per unit solid angle,"

L = \frac{\partial \Phi}{\partial \left(cos \Theta \right) \ \partial \Omega}

What is this quantity? I mean, I know it's "flux per unit projected area per unit solid angle," how does the math work?

I know it's not

\frac{\partial \Phi}{\partial (Acos \Theta)} \frac{\partial \Phi}{\partial \Omega}
 
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well it's either a typo, or some weird convention where people don't follow the rules. I found a few pages later, a table, where the same quantity was given by

<br /> L = \frac{ \partial^{2} \Phi}{\partial(Acos \Theta) \ \partial \Omega}<br />

Which of course, makes a heck of a lot more sense.

It's on page 6 of William Wolfe's intro to Radiometry :-/
 


I think page 6 is a typo- it should be what you have written on post #2. Try emailing William, pointing out the typo- see what he says.
 


Email sent. I can't believe I just did that..
 
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