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Do I know the probability distribution of possible tracks?
A photon “moves” from phase space element to phase space element.
A photon track is composed of the sequential phase space elements or photon states,
S
j
(
r
j
,E
j,
Ω
j
) just before each interaction j.
The probability of occurrence of each photon state j only depends on the probability
of occurrence of state j-1.
Or in other words: the probability that the photon interacts at r
j-1
, the probability that
a specific kind of interaction occurs and the probability that during this
interaction the photon is scattered in direction Ω
j
with energy E
j
given Ω
j-1
and E
j-1
.
These probability distributions are known in Physics….!
Hence, the only component missing is a method to RANDOMLY sample from the
above, known, probability distributions.
r
j
r
j-1
r
j-2
Ω
j-1
Ω
j
The MC method …