Steven G. Johnson <[EMAIL PROTECTED]> writes:

> 
> On Aug 6, 2008, at 7:02 PM, Chen wrote:
> > 1.Normally you would want time-average power for this application.
> 
> You don't need complex fields for this.  You could just average the  
> power over one period, after all.  Or you could use the Fourier  
> transform (if you are careful about normalization).
> 
> > 2. Yes, you have to do multiple simulations, one for each frequency.  One  
> way is to use a CW source at each frequency and wait for the system to  
> reach steady-state.  Another is to use a very narrow-band Gaussian  
> source and wait until the middle of the pulse.
> 
> We often prefer to use semi-analytical methods for this, such as  
> coupled-mode theory, based on perturbative methods. If you are  
> careful, these can be practically exact -- perturbative methods can be  
> very accurate here because the nonlinear change in the refractive  
> index is very small in most practical materials.  This is true even if  
> the overall phenomenon that results from the nonlinearity is quite  
> dramatic (e.g. optical bistability).
> 
> Steven
> 



Dear Steven,

Thank you for your comments about nonlinear transmission curves.

In comment 1, you suggested I should use Fourier transform if I
am careful about normalization. Can you give more details about
how to execute to obtain the average power?

In comment 2, can I use a delta funtion source instead of a very 
narrow-band Gaussian source? We all know that the delta funtion 
source is a constant in frequency domain after Fourier transform.

Thanks a lot.

best,
Chen



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