Benchmark Problems for Simulating Electric Fields Near Sharp ...

Benchmark Problems for Simulating Electric Fields Near
Sharp Corners


Doug Craigen, PhD
Integrated Engineering Software / Enginia Research
Winnipeg, Manitoba, Canada R3H 0G4




INDEX  
The Problem  
Jackson's Solution  
Case 1: Razor Edge  
Case 2: 90 Degree Corner  
Summary


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 Benchmark Problems for Simulating
Electric Fields Near Sharp Corners
Doug Craigen, PhD
Integrated Engineering Software/Enginia Research
Winnipeg, Manitoba, Canada R3H 0G4

INDEX
The Problem
Jackson's Solution
Case 1: Razor Edge
oCase 2: 90 Corner
Summary

The Problem
One of the most common questions in
Electromagnetic simulation is "what/where is
the maximum field?". When any kind of corner
or edge is present the question becomes tricky.
A corner is mathematically a singularity. You
cannot ask what is the direction of the field at
the corner - that depends on the direction from
which you approach it. Furthermore, in cases
like that to the left, the magnitude of the field
is infinite at the corner. Hence, examining the
field near a corner should produce increasingly
high fields. The question posed is not
meaningful because it depends on how close
you approach the corner.
Of course, no physical object has a perfect corner - there is some degree of roundness. Also, at the
locations where the ...