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Manuscript Title: A library for computing the filtered and non-filtered 3D Green's tensor associated with infinite homogeneous space and surfaces.
Authors: P. Gay-Balmaz, O.J.F. Martin
Program title: LIBG3D
Catalogue identifier: ADPS_v1_0
Distribution format: tar.gz
Journal reference: Comput. Phys. Commun. 144(2002)111
Programming language: Fortran.
Computer: SUN ULTRA 60 (256MB RAM).
Operating system: Solaris 2.7.
RAM: 208K words
Word size: 64
Keywords: Quasi-static approximation, Green's tensor technique, Filtered Green's tensor, High permittivity particules, Two-layers medium, Electromagnetic.
Classification: 10.

Nature of problem:
Computation of the Green's tensor G(r,r'), i.e. of the field radiated at the observation point r by three orthogonal source dipoles located at r'. This dyadic is computed both for free space and for a surface in the quasi-static limit. Further, the so-called filtered Green's tensor, which increases the application range of the coupled-dipole approximation to higher permittivity scatterers can also be computed [1].

Solution method:
Analytical expressions from the free space Green's tensor are combined to obtain the electrostatic Green's tensor associated with a surface. For the filtered Green's tensor, a spectral approach, with integration in complex space is used [2,3].


Unusual features:

Running time:
0.62 sec to compute the filtered Green's tensor associated with a surface, for 500 source-observation pairs.

[1] N.B. Piller, O.J.F. Martin, Increasing the performances of the coupled-dipole approximation: A spectral approach, IEEE Trans. Antennas Propag. 46 (1998) 1126-1137.
[2] P. Gay-Balmaz, O.J.F. Martin, Validity domain and limitation of non-retarded Green's tensor for electromagnetic scattering at surfaces, Opt. Comm. 184 (2000) 37-47.
[3] P. Gay-Balmaz, O.J.F. Martin, Electromagnetic scattering of high permittivity particles on a substrate, Appl. Optics (2001) (in press).