Monte Carlo methods for solving Maxwell's equations?

[photton]

Maxwell's equations are frequently solved numerically using deterministic methods such as finite difference time domain (FDTD) methods (https://en.wikipedia.org/wiki/Finite-difference_time-domain_method). The problem is that FDTD methods are known to be very computationally intensive. I'm wondering why aren't Monte Carlo methods (https://en.wikipedia.org/wiki/Monte_Carlo_method) ever applied to solve these equations? Is there a fundamental reason why not?

 

[EM_Guy]

Apparently, Monte Carlo methods are used (or they can be used) to solve Maxwell's equations:
https://books.google.com/books?id=U...s equations using Monte Carlo methods&f=false

Depending on the specific problem, certain numerical methods are more advantageous than others. Also, for certain problems, a hybrid of numerical methods if preferred.
https://www.feko.info/product-detail/numerical_methods