__Presentation Overview__ ## Project objectives ## Gain characteristics of EDFA ## Gain flattening - non-uniform gain over the spectrum
- implications
__Project Objectives__ - ASE not considered – optimum length is shorter when ASE taken into account
## Expand the current EDFA Simulink model to show the gain over the entire 1550nm window - important to know gain in range 1530nm – 1560nm
## Consider gain flattening, and ## Integrate forward ASE into the EDFA model ## Why Simulink?
## Why use Simulink when an EDFA can be simulated using simulation tools such as OASIX or PTDS? ## Why use Simulink when an EDFA can be simulated using simulation tools such as OASIX or PTDS? - OASIX or PTDS
- Simulink
- dynamic model
- input pump power as well as other EDFA parameters can be easily modified
__EDFA Gain characteristics__ ## Significant equations governing EDFA dynamics ## Output pump and signal power:
## and are wavelength dependant as shown in the figure - and are the absorption and emission coefficients, respectively
## this relationship is how the wavelength dependency of the gain arises ## EDFA gain ratio between the absorption and emission at a particular wavelength is critical in determining the gain
*Note on Aspects of Simulation* ## when performing simulations on the EDFA model it is important to simulate all the wavelengths simultaneously instead of one at a time ## EDFAs work in the nonlinear regime, so properties like linear superposition don’t hold true ## when there are several channels in an EDFA there is an effect called gain stealing - the energy that each of the channels takes from the pump depends on the details of the emission and absorption spectra
## before simulating the gain, the optimum length was determined
*Optimum Length*
*Simulink Models* ## implementation of the ordinary nonlinear differential equation used for studying EDFA gain dynamics ## input/output
*EDFA Gain*
__Gain Flattening__ ## using the equations shown earlier, I derived an equation relating the pump gain (GP) to the signal gain (GS) ## the resultant equation is:
## for a GS of 30dB, GP should follow the curve shown in the figure ## theoretical view of what the pump should be ## practically, in order to get a different power at each wavelength might be difficult - something to be further analyzed
## Thank You
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