''' What are we creating ?:

1. Create background

• Use a PML which is an absorbing boundary which will simulate the waves we use going out in all directions
• Parameters
  • Size of our PML
  • Properties of our PML

3. Create test waves

• 2 GHz transverse-electric TE polarized time-harmonic uniform plane wave is incident

4. Create PEC cylinder

• Parameters
  • Radius

5. Create cloaking

• “radius-dependent anisotropic relative permittivity and permeability”
  • Changing radius which therefore changes permittivity abd permeability by set eqs.

6. Simulate the four (five?) cases

• Case 1
  • Ideal
  • Lossless epsilon_r and mu_r
• Case 2
  • Almost ideal, but not fully
  • Addition of loss to give a constant E & B loss tangent of 0.1
• Case 3
  • Cloaking structure implemented in a stepwise, homogeneous 8-layer approximation of the ideal, lossless continuous parameters
  • Necessary approximation of realizing a continuous medium with a finite number of discrete layers
• Case 4
  • Approximate realization with simplified permittivity and permeability derived by limiting ourselves to TE fields and lettting D_z = epsilon_z * E_z
  • Utilize the Maxwell equations inside the cloaking material
  • If E_z is spatially uniform, these equations depend on mu_r * epsilon_z and mu_phi * epsilon_z (two parameters instead of three)
• Case 5
  • Do we need to define an additional case outside of those set forth in the paper? '''