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mudkip9001
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edit: the TeX is still being screwy, not putting the equations in the right places. stay tuned.
editII: fixed, I think.
I'm working on converting a BRDF to a PSD, S(fx,fy).
In the book 'optical scatter: measurement and analysis', the BRDF is given as
[tex]BRDF(\theta_i,\theta_s,\phi_i)\propto S(f_x,f_y)[/tex]
where fx and fy are evaluated at:
[tex]f_x=\frac{\sin{\theta_s}\cos{\phi_s}-\sin{\theta_i}}{\lambda}[/tex][tex]f_y=\frac{\sin{\theta_s}\sin{\phi_s}}{\lambda}[/tex]
So
[tex]S(f_x,f_y) \propto BRDF(\theta_i,\theta_s,\phi_i)[/tex]
I'm confused as to what angles correspond to what frequencies. i.e, what values for the angles should I plug into the BRDF for any given frequencies..
It's probably quite simple, the book makes no mention of it, but my brain is failing me, I don't even know where to start. For example, the data I have is for only one angle of incidence, so that will be fixed, but fx is a function of two varialbles (theta and phi), so I can't just solve for [tex]\theta_s[/tex]
editII: fixed, I think.
Homework Statement
I'm working on converting a BRDF to a PSD, S(fx,fy).
Homework Equations
In the book 'optical scatter: measurement and analysis', the BRDF is given as
[tex]BRDF(\theta_i,\theta_s,\phi_i)\propto S(f_x,f_y)[/tex]
where fx and fy are evaluated at:
[tex]f_x=\frac{\sin{\theta_s}\cos{\phi_s}-\sin{\theta_i}}{\lambda}[/tex][tex]f_y=\frac{\sin{\theta_s}\sin{\phi_s}}{\lambda}[/tex]
So
[tex]S(f_x,f_y) \propto BRDF(\theta_i,\theta_s,\phi_i)[/tex]
I'm confused as to what angles correspond to what frequencies. i.e, what values for the angles should I plug into the BRDF for any given frequencies..
The Attempt at a Solution
It's probably quite simple, the book makes no mention of it, but my brain is failing me, I don't even know where to start. For example, the data I have is for only one angle of incidence, so that will be fixed, but fx is a function of two varialbles (theta and phi), so I can't just solve for [tex]\theta_s[/tex]
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