Cross Section Calculation
To calculate the scattering, absorption, and extinction cross sections of a scatterer, add a Cross Section Calculation node. The scattering cross section is calculated as
Here, n is the normal vector pointing outward from the scatter, Ssca is the scattered Poynting vector, and I0 is the intensity of the incident plane wave. The integral is performed over the surface enclosing the scatterer.
The intensity of the incident wave can be calculated from the electric field amplitude E0 as
Here, k and k0 are the wavenumber in the background medium and free space, respectively, c is the free space speed of light and ε0 is the free space permittivity.
The absorption cross section is calculated as
Here, Q is the power loss density in the scatterer and the integral is performed over the volume V of it.
The extinction cross section yields to
The Cross Section Calculation node is only available when Scattered field is selected from the Formulation list in the Settings window of the physics interface, and the Background wave type is set to
User defined for 2D,
User defined or Circularly polarized plane wave for 2D axisymmetry,
User defined or Linearly polarized plane wave for 3D.
Add a Cross Section Calculation node from the Physics toolbar or by right-clicking the physics interface and selecting the Cross Section Calculation item from the context menu.
Cross section calculation
Enter the Incident plane wave intensity when the Background wave type is set to User defined for 2D and 3D. The default value is 1 W/m2.
To calculate the cross section area, select the entire domain of the scatterer. When the Background wave type is set to User defined, enter the electric field expression of a plane wave.
Scatterer on Substrate: Application Library path Wave_Optics_Module/Optical_Scattering/scatterer_on_substrate
Optical Scattering off a Gold Nanosphere: Application Library path Wave_Optics_Module/Optical_Scattering/scattering_nanosphere