Open loryruta opened 4 months ago
I'm going through Chapter 14 (The Equation of Transfer).
I don't understand how, in Equation 14.7, the "Medium term" is simplified to only Ln.
Ln
Starting from:
My understanding is that we choose q to be equal to T_maj, so that the "Surface term" becomes only Lo.
The second term's estimator is this:
that if we properly sample t' according to p(t) = sigma_t * T_maj, it becomes just:
p(t) = sigma_t * T_maj
So my question is: isn't L_n missing the denominator 1 - q i.e. 1 - T_maj? Otherwise I don't understand how it gets simplified.
1 - q
1 - T_maj
P.S.: I'm not sure this is the ideal place to ask such questions...
I'm going through Chapter 14 (The Equation of Transfer).
I don't understand how, in Equation 14.7, the "Medium term" is simplified to only
Ln
.Starting from:
My understanding is that we choose q to be equal to T_maj, so that the "Surface term" becomes only Lo.
The second term's estimator is this:
that if we properly sample t' according to
p(t) = sigma_t * T_maj
, it becomes just:So my question is: isn't L_n missing the denominator
1 - q
i.e.1 - T_maj
? Otherwise I don't understand how it gets simplified.P.S.: I'm not sure this is the ideal place to ask such questions...