FreeLists / si-list / [SI-LIST] Re: 2D, 2.5D,3D

[C Deibele <deibele@xxxxxxx>]

Roger Harrington has an entire textbook on the method of moments.

2D is easy -- this is solved in a myriad of undergraduate mathematics
courses on ODE's.  Look up Laplace's equations.

for 3D -- there are two basic methods.  FEM (Finite Element Method),
which is frequency domain, and FDTD  (Finite Difference Time Domain).

They are sort of the same idea as used for solving 2D equations.

A $1.00 background:

Space is carved up into small areas (or volumes).  The areas (or volumes)
are then expanded into an orthogonal set of eigenfunctions which satisfy
perfect conducting boundary conditions.  The fields are matched at the 
boundaries
of each small area (or volume), which are then matched to the excitation source.

This sets up a series of equations, which is the same as setting up a
matrix equation.  The trick is inverting the matrix, to get the solution.

In fact, this is also true for the method of moments, but that has a different
twist to it.

these techniques require a fairly extensive background -- i spent 3 years 
developing
the technique for the method of moments for a non-planar geometry.  probably a 
good
idea is to put the keywords FEM, FDTD, and moment method into google and just
peruse the titles that come up.

A good general description of the different techniques and general limitations 
can
be found at:
http://www.angelfire.com/ca2/BlueFlyer/FrequencyTimeFAQ.html

Good luck,

craig
Sumit Goswami wrote:
> Hi,
>     Anybody knows any paper describing all these with some proper
> example. I am a ASIC design guy and I know all these basics. But I really
> need some material which tells about 2D,2.5D and 3D algorithms in full
> details.
> 
> Thanks in advance,
> Sumit
> 
> 
> Brian Young wrote:
> 
> 
>>My $0.02 worth on the definition of 2.5D:
>>
>>A 2.5D electromagnetic simulator is a general-purpose full-wave
>>3D electromagnetic simulator that is optimized and restricted to
>>layered planar structures.  If your problem looks like a PCB, then
>>you can use a 2.5D simulator and get the full result.  If your problem
>>does not look like a PCB and is not a transmission line or
>>waveguide, then you have to use an unrestricted 3D EM simulator.
>>
>>The 2.5D simulators use the method of moments with Greens
>>functions explicitly coded for layered planar dielectrics.  Since
>>Greens functions are solutions to Maxwell's equations, the problem
>>is partially solved before you even start.  That is how the 2.5D
>>solvers can solve such huge problems.
>>
>>Regards,
>>Brian
>>
>>--
>>****************************************************
>>* Brian Young                    Texas Instruments *
>>* 512-347-1819 (work)         Austin Design Center *
>>* 512-468-5410 (cell)           brian.young@xxxxxx *
>>****************************************************
>>
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-- 
Craig Deibele, PhD PE
Spallation Neutron Source
Oak Ridge National Laboratory
PO Box 2008     MS 6473
701 Scarboro Road  Room 301
Oak Ridge, TN  37830
deibele@xxxxxxx
office: +1 865.574.1969    cell: +1 865.719.4381    fax: +1 865.241.6739

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