By changing the position of the boundary condition from the center of the photonic crystal fiber, I get different outputs with every position. What is the optimum position for the BC?
You mean the position of the boundary, not of the boundary condition (which doesn't make sense). Of course the outputs are expected to change, upon varying the boundary condtions-changing the boundary conditions means describing different problems!
There's no ``optimal'' position for a boundary absent any other condition that defines what optimality means.
I'm modeling photonic crystal fiber. Depending on the position of the boundary, I get different outputs. I need to know what is the right position of a fiber of diameter 6 um.
If the fiber is a cylinder, of circular cross section, the boundary is that of the cylinder. Since it's a dielectric, the boundary conditions are that the fields are continuous across the boundary.
Since the cylinder is of finite length, boundary conditions must be defined at the caps. And that depends on how the cylinder is ``terminated'' (total reflection, adaptive load, or a mix).
But there's no ``right'' vs. ``wrong'' position-the length of the cylinder is what it is.