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machiel
Posts:
2
Registered:
11/20/12
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Re: Projection of isotropic 3D radiation on flat screen
Posted:
Nov 20, 2012 1:16 PM
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To answer my own question.
From the point source to the nearest point on the screen is distance r1. This is a vector lying on a sphere with area (4 pi r1^2). The density of vectors on this sphere is N/(4 pi r1^2).
For a point further on the screen, the vector from the point source is distance r2. The density of vectors on this sphere is N/(4 pi r2^2).
Density_2 / Density_1 = r1^2 / r2^2 < 1.
This will give you the density of the flux on any point of the screen.
On Tuesday, November 20, 2012 4:21:09 PM UTC+1, machiel wrote:
> Hi,
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> When I have an isotropic point-like source that radiates isotropically in 3-D space, how can I calculate the number of events that reach a screen a
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> certain distance away, with the probability as a function of (transversal) x and/or y on that screen.
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> Hence, I want to know how to derive a function for the amount of events that reach a certain region on a flat screen, when the origin of these events is some isotropic point-like source.
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> Any help would very much be appreciated.
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> Best regards,
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>
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> Machiel
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