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Surface Integral Equations

MoM

Describe the integral equations which can be used to solve currents on a 3d model

Show how to discretize currents on a 3d surface using the so called “Roof-Top” basis functions. Define clearly how to use them and what are their properties. Explicit how to handle multiple surface-junctions to enforce the Kirchoff law at the common edge

Show how to discretize currents on a general 3d surface with wires using the so called linear “Roof-Top” basis functions. Define clearly how to use them and what are their properties. Explicit how to handle multiple wire-junctions to enforce
the Kirchoff law at the common node

Show how to handle a surface to wire junction on a 3d surface using a specific basis functions. Define clearly how to use it and what are its properties. Explicit how to handle a wire to surface  junction to enforce the Kirchoff law at the common vertex and how to handle a junction with multiple wires

Show how to construct the MoM matrix for unknows on surfaces (Edges), wires (WNods) and Junctions ‘Vertex

Show how to handle symmetries in the resulting linear system

Explicit the CFIE and for what purpose it is intended

Currents & Fields

Show how to recover 3d vector currents from the MoM unknowns on surfaces & wires

Show how to compute Near-Fields from the MoM unknowns

Show how to compute Far-Fields from the MoM unknowns

EM-processings

Describe how to handle an antenna pattern as a source in the MoM

Apertures & Dielectrics

Describe how to handle apertures in the ground-plane or on the surface of a general 3d model via the PMCHW equations

Describe how to handle bulk dielectrics in the MoM together wirh a general 3d surface model. The PMCHW equations are used and allow to mesh only the external surface of the dielectric region.

Hybriding

Huygens sources are used as a source model by enforcing their radiated fields produced by a set of electric & magnetic currents.

Physical Optics may be hybrided with the MoM. The procedure to design the hybrid algorithm is described in this document

GTD/UTD may be hybrided with the MoM. The procedure to design the hybrid algorithm is described in this document

Green’s Dyadic Functions

Describe what is a dyadic & show how to apply the behind theory to obtain it for a specific geometry. The application focus on the scalat & vector potential dyadics


Show the details on how to obtain the scalar & vector  potential dyadics for this kind of geometry

Show the details on how to obtain the scalar & vector  potential dyadics for this kind of geometry

Show the details on how to obtain the scalar & vector  potential dyadics for this kind of geometry

not available


Show the details on how to obtain the scalar & vector  potential dyadics for this kind of geometry

Other documents about 

MoM

Detail all the usefull transformations in the MoM matrix and right term in order to treat efficiently such a problem

PTD

Show how to construct a PTD solver. Define basic tricks for computing far-field quantities & RCS using equations coupled with a ray-tracer

Ray-Tracing