Judson Ryckman <judson.d.ryck...@vanderbilt.edu> wrote> When I use this 
definition, the simulation runs great.? However,
> suppose my epsilon was now eps = -4.4 + 3.9605i.? I could arbitrarily,
> change the epsilon term (eps_inf) from 0.3 to -0.2.? 

Strictly speaking, eps_inf should always be exactly 1 (the vacuum
value); although you can usually get away with positive values in 
numerical situations, and can ignore the detail if not actually 
including such high frequencies in your analysis.

If eps_inf isn't 1, you have, in essence, done odd things to your 
spacetime metric ... especially if you've picked a negative value!

Numerically, your eps_inf should be positive (or the integration becomes 
unstable), physically eps_inf should be exactly 1.  

It's not just dispersion that you need to get exotic eps (or mu), 
its _causal_ dispersion; and part of that causality (at least from 
a KK perspective) demands that the limiting value of the high 
frequency (non vacuum) response is zero.



-- 
---------------------------------+---------------------------------
Dr. Paul Kinsler                 
Blackett Laboratory (Photonics)   (ph) +44-20-759-47734 (fax) 47714
Imperial College London,          dr.paul.kins...@physics.org
SW7 2AZ, United Kingdom.          http://www.qols.ph.ic.ac.uk/~kinsle/


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