With the steady-state fields calculated as described in Section 3.4 from the nodes in region 2 of the TFSF technique, a near-to-far-field transformation can be employed to numerically obtain the scattering amplitude
A([phi]) of the structure of interest.
An important note is that, in the Born approximation, the interaction potential may be calculated using the Fourier transform of the scattering amplitude
; that is,
Lesselier, "Two numerical methods for recovering small inclusions from the scattering amplitude
at a fixed frequency," SIAM Journal on Scientific Computing, vol.
The editors have organized the contributions that make up the main body of the text in nine chapters devoted to albegras in reconstruction of manifolds, a review on large k minimal spectral k-partitions and PleijelEs Theorem, increasing stability for near field from the scattering amplitude
, and a wide variety of other related subjects.
We denote by [f.sub.[+ or -]]([omega] [right arrow] [theta]; E) the scattering amplitude
by 2[pi][[alpha].sub.[+ or -]][delta](x) and set
The scattering amplitude
of a red blood cell and the differential cross section per unit volume of blood are given by [1,14].
After introducing the taper T([??]) into the integral term of the SSA-II method, the scattering amplitude
can be revised as
Due to the separability of the electric susceptibility of materials and the etching depth h << r, we can assume a spatial dependence of scattering potential of the scattering medium and calculate the scattering amplitude
laterally and in-depth, respectively,
Finally, we propose a simple method based on the dependent scattering amplitude
to assist paint formulators facing the task of improving the hiding power of a white paint either by increasing the quantity of pigments or by improving their spatial state of dispersion.
where d is the scattering amplitude
; and the Fourier component of the density operator presents as
Key words: asymmetries; density matrix; evolution operators; Ramsey's method; scattering amplitude
where [R.sub.v](q|k) is the scattering amplitude
that is obtained when the incident field is given by exp[ik[x.sub.1] - i[[alpha].sub.1] (k, [omega])[x.sub.3] - i[omega]t] or