[SI-LIST] Re: 2.5D and 3D Solvers
- From: "Yuriy Shlepnev" <shlepnev@xxxxxxxxxxxxx>
- To: <avtaarenator@xxxxxxxxx>, <si-list@xxxxxxxxxxxxx>
- Date: Mon, 7 May 2007 16:18:04 -0700
"2.5D solver" term was coined by J. Rautio and he explained the term on this
forum some time ago. It means that the solver uses a full-wave formulation
with all six electromagnetic field components in multilayered media and only
two components of conduction currents (xy for instance). It uses a full-wave
Green's function of multilayered media to reduce a 3D problem to just
surface of metallization using method of moments procedure (in contrast 3D
tools mesh whole space). In addition, 2.5D means that the thickness of the
traces is neglected. It provides good approximation for planar circuit with
large ratio of strip width to thickness (MIC application). Semi-analytical
Green's function gives more accurate solution for structures with multiple
dielectric layers comparing to general purpose 3D solvers. 2.5D solvers that
account metal thickness and include z-directed components of the conduction
current in addition to the xy components are sometimes called 3D planar.
Here 3D means that the solver can treat some 3D structures that fit into the
multilayered problem formulation. Traces and vias fit such formulation for
instance but bondwires do not. Full-wave means that the radiation is
included in the problem formulation or, in other words, displacement term in
the Maxwell's equation is taken into account. Static formulation do not
contain neither time nor frequency at all. Essentially it is a boundary
value problem for Laplace's equations. Transmission line field solvers
usually solve Laplace's equations for line cross-section and may be
classified as static 2D solvers. Quasi-static formulations do not account
radiation or do not have the displacement term in the Maxwell's equations
(sometime it is not obvious and hidden in the integral equations). Though,
the frequency is included in the formulation and it provides the impression
of a full-wave solution. Magneto-quasi-static transmission line filed
solvers and PEEC-based solvers (without retardation) are examples of 2D and
3D quasi-static tools.
Selecting a solver, in addition to the geometry dimension, you have to
verify what particular effects can be simulated within the problem
formulation and how those effects are approximated.
Best regards,
Yuriy Shlepnev
Simberian Inc.
http://www.simberian.com/
-----Original Message-----
From: si-list-bounce@xxxxxxxxxxxxx [mailto:si-list-bounce@xxxxxxxxxxxxx] On
Behalf Of Avtaar Singh
Sent: Monday, May 07, 2007 11:47 AM
To: si-list@xxxxxxxxxxxxx
Subject: [SI-LIST] 2.5D and 3D Solvers
Gurus:
I have a very basic question.
What are the differences between 2.5D and 3D EM Field solvers? In fact, what
do the terms 2.5D and 3D mean? What are electrostatic field solvers? Kindly
give me an example of each kind.
Regards!
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