On Fri, 28 Dec 2007, Huazhong Wang wrote:
> I have a question about the magnitude of source. A gaussian TM (Ez)
> point source is used in my simulation. the amplitude of source is 1.0
> (default). I found that the maximum of Ez at source center is 0.887. I
> also did the same simulation under the cw source TM(Ez). I also found
> that the maximum of Ez at source center is 0.887. I thought that the
> maximum value of Ez should be 1. I don't know why the maximum value is
> 0.887 in simulation.

The magnitude of the Ez field and the current source have no fixed 
relationship; it depends upon the local density of states.

It also depends upon the resolution, for a point source---when you do a 
point source, Meep treats it as if it were a delta function with that 
magnitude, and thus scales the current to have that integral.  So, as you 
increase the resolution, the peak magnitude of the current will get larger 
and larger.

Also, if you have a point source that doesn't fall exactly onto a grid 
point, Meep will interpolate it onto the grid.  That means instead of 
having one "pixel" with that magnitude current, you will have several 
pixels with a slightly smaller magnitude (but the same integral).

In any case, the most important point is to realize that the current 
amplitude is pretty meaningless since the resulting field depends on the 
surrounding medium and geometry.  (And the absolute magnitude of the field 
is meaningless anyway unless you are doing a nonlinear simulation; if you 
are doing a nonlinear simulation you must normalize the power, not the 
current, as described in the manual.)

Regards,
Steven G. Johnson

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