This is the probability of reaching the screen if none were scattered, lessened by an amount ( 4 \ pi / k ) \ operatorname { Im } [ f ( 0 ) ], which is therefore the effective scattering cross section of the scatterer.
42.
Approximations of this operator are at the foundation of a class of method for the modeling of acoustic scattering in infinite medium, with the scatterer enclosed in the sphere and the Poincar? Steklov operator serving as a non-reflective ( or absorbing ) boundary condition.
43.
Among well recognized and analyzed errors of the near-field measurements, multiple reflections between an antenna under test ( AUT ) and an electromagnetically non-transparent field detection system ( scatterer ) belong to the most contributing errors when the AUT has a high gain.
44.
As a result of the nature of the Fourier transform, the broader the distribution of the scatterer \ rho in real space \ mathbf { r }, the narrower the distribution of f in \ mathbf { Q }; i . e ., the faster the decay of the form factor.
45.
The SDM starts out with an assumed Floquet / Fourier series solution for all fields, currents and potentials whereas the PMM starts out with a single scatterer, then adds in all of the scatterers in the infinite plane ( in the " spatial " domain ), then uses a transformation to yield the spectral domain representation of the fields.
46.
It should be noted that the radar equation, adjusted for incoherent ensemble scatterers, computes a signal return " orders of magnitude larger " than for a single point scatterer . ( In plain English : lots of tiny snowflakes, each oriented randomly / independently, are sufficient to make one really bright non-specular reflection ) . talk ) 19 : 58, 14 January 2011 ( UTC)