On Mon, 23 Apr 2007, celia wrote:
>   I set different k corresponding to the same frequency, and find some
> phenomena I could not explain. One example is
> http://ab-initio.mit.edu/wiki/index.php/Meep_Tutorial/Band_diagram%
> 2C_resonant_modes%2C_and_transmission_in_a_holey_waveguide
>   In the third subsection(band diagram), I set fcen=0.3175 df=0.1 k=0.4
> and position the point source at (0.5,0), and achieve a guided mode
> which is the same as in the example.
>   With other parameters unchanged, I set k=0.25 and get a leaky mode; I
> set k=0.45 and get a guided mode. The output command is
> (run-sources+ 400
>          (at-beginning output-epsilon)
>            )
> (run-until (/ 1 fcen) (at-every (/ 1 fcen 20) output-hfield-z))
>
>   Pay attention that the points (k=0.25,w=0.3175) (k=0.45, w=0.3175)
> are not in the band curve. Before the simulation, I have thought those
> points should not correspond to a leaky/guided/extended mode. Then what
> is wrong about my view?

First, what do you mean when you say that you "find a mode"?

You are not running harminv, you are just exciting the fields with a pulse 
source.  Of course you will get *some* fields, regardless of whether there 
is an eigenmode nearby.  What you will tend to see, after running a long 
time, will be the guided mode or leaky mode that is excited with the 
largest amplitude and/or has the longest lifetime.

Second, notice that you are putting in a pulse with a fairly broad 
bandwidth, and there are severl guided/leaky modes nearby that you might 
be exciting.  For example, at k=0.45, there is an guided mode at a 
frequency close to 0.3, so you will clearly excite this strongly.

Cordially,
Steven G. Johnson

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