Tensor Entries

Entering the matrices of the anisotropic materials doesn't require a special procedure. The usual anisotropic material definitions can be used for any PML structure. However, keep in mind that the efficiency of the PMLs depends on the material values assigned to them.

Setting the complex parameter C ensures that the electromagnetic field decays strongly in the PMLs. Back reflections from the bounding PECs are then kept below a prescribed bound. To accomplish this, the following inequalities have to be satisfied:

		(1)
		(2)

where

		(3)
		(4)

• e = a = b
• aand b are the real and imaginary parts of C.
• His the thickness of the PML object.
• w_max and w_min are the minimum and maximum angular frequencies.
• r_max and r_min are the minimum and maximum distance of a radiating object to the PML surface.
• ris the bound for back reflection.
• dis the maximum decay characterizing the element. (dis approximately 3* 10^-3.)
• his the thickness of one finite element.
• cis the velocity of light in vacuum.