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Check out Mark Filer and Sorin Tibuleac's slides from their presentation at OFC this week!
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OFC/NFOEC 2013, Anaheim CA (NW4E.4)
Mark Filer and Sorin Tibuleac
ADVA Optical Networking, Atlanta GA
Measurement of Equivalent Zero-Dispersion Wavelength Distribution for Capacity Increase in FWM-limited Networks
© 2013 ADVA Optical Networking. All rights reserved. Confidential.OFC/NFOEC 2013, Anaheim CA (NW4E.4)
f1 f2 f3
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f332 f331
f1 f2 f3
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f123,213
f112 f223
f132,312
f221
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• Generally describes any third order process in which the interaction of three fields lead to the generation of a fourth
What is Four-Wave Mixing?
𝑓 𝑖𝑗𝑘= 𝑓 𝑖+ 𝑓 𝑗− 𝑓 𝑘
f2
f3
f321 f312 f221
• Several approaches to minimizing FWM-induced crosstalk• Reduced channel count• Limited transmission distance• Raman amps + low launch power• L-band• S-USCA
© 2013 ADVA Optical Networking. All rights reserved. Confidential.OFC/NFOEC 2013, Anaheim CA (NW4E.4)
Zero-Dispersion Wavelength
• Generation of FWM components: phase-matching condition• Knowledge of fiber CD properties critical for optimal channel allocation
• Fiber zero-dispersion wavelength (ZDW) characteristics• ZDW is non-uniform along fiber length• Larger ZDW variation in older DSFs which are still used today
• Challenge: standard method for in-field dispersion measurement is Modulation Phase Shift (MPS) method• MPS yields average ZDW over entire link; however…• Near-end ZDW features more important than far-end
• Solutions: previous methods complex, equipment-intensiveWe propose a new method of determining equivalent ZDW1) Simplified in-field measurement of degenerate FWM efficiency2) Derivation of equivalent ZDW distribution using measured data as input
to search-and-optimization numerical algorithm
© 2013 ADVA Optical Networking. All rights reserved. Confidential.OFC/NFOEC 2013, Anaheim CA (NW4E.4)
In-Field Measurement Technique
• Probe with (swept) pump induces degenerate FWM• Use OSA or OPM to obtain FWM efficiency vs frequency• Repeat for multiple fprobe values
• Take average of results
fpumpfprobe fFWM
f
λ0 𝑓 𝐹𝑊𝑀=2∙ 𝑓 𝑝𝑢𝑚𝑝 − 𝑓 𝑝𝑟𝑜𝑏𝑒
λ0
© 2013 ADVA Optical Networking. All rights reserved. Confidential.OFC/NFOEC 2013, Anaheim CA (NW4E.4)
In-Field Measurement Technique (2)
• Concept demonstrated on 112km DSF comprised of 6 spools• Known ZDW’s (from MPS method)• Four probe wavelengths (1541, 1545, 1561, 1565 nm)
λ0,1
λ0,2
λ0,3
λ0,4
© 2013 ADVA Optical Networking. All rights reserved. Confidential.OFC/NFOEC 2013, Anaheim CA (NW4E.4)
Equivalent ZDW distribution
• Next step: utilize inverse method for determining equivalent ZDW distribution from measured data• Multiple ZDW distributions possible for same solution• Physical distribution of ZDW not as critical as accurate modeling of FWM
efficiency of span• Simple example:
© 2013 ADVA Optical Networking. All rights reserved. Confidential.OFC/NFOEC 2013, Anaheim CA (NW4E.4)
λ0,1 L1
λ0,2 L2
λ0,n Ln
Search-and-Optimization Algorithm
• Search-and-optimization routine: Genetic Algorithm• Merit function: experimental FWM efficiency spectrum• Optimization parameters: fiber segments, ZDWs
initial population
merit function evaluation
rank stop?
solution
new population
select xover mutate
size m FWM efficiencygenerations exceeded
max time exceeded
or stall
ks∙m kx∙m km∙m
Terminology
• candidate solution: ZDW set {λ0,1 , λ0,2 ,…, λ0,n}• population: a set of candidate solutions (length m)• generation: one population lifetime • selection: candidates retained (top ks)
• crossover: combinations of best candidates (kx)
• mutation: random changes to a candidate (km)
{λ0,1 , λ0,2 ,…, λ0,n}n
© 2013 ADVA Optical Networking. All rights reserved. Confidential.OFC/NFOEC 2013, Anaheim CA (NW4E.4)
Example for 112km span DSF
• Measurement performed on 112km span DSF comprised of 6 shorter spools each with different ZDW
• Analytical FWM model* used to calculate FWM efficiency spectrum• Calculated and measured FWM efficiencies compared in a least-squares
sense merit function
• Genetic Algorithm parameters:• Fiber segments, = 20• Population size, = 500• Initial population, = 1550.43nm • Max generations = 225• Selection, = 10%• Crossover, = 55%• Mutation, = 35%
n m
{λ0,1 , λ0,2 ,…, λ0,n}
ks
kx
km
* J. Stay et al, proc. OFC/NFOEC, 2008, paper JWA14
© 2013 ADVA Optical Networking. All rights reserved. Confidential.OFC/NFOEC 2013, Anaheim CA (NW4E.4)
Result for 112km span DSF
• GA merit function designed to emphasize matching of spectral “peaks” with less weighting given to regions of low FWM efficiency
* J. Stay et al, proc. OFC/NFOEC, 2008, paper JWA14
• Final solution set which yielded result above input to GA-based S-USCA optimization tool*
© 2013 ADVA Optical Networking. All rights reserved. Confidential.OFC/NFOEC 2013, Anaheim CA (NW4E.4)
Application to S-USCA scheme
• S-USCA tool produces optimal channel plan given number of channels and channel range/spacing
• Increase in channel capacity realized when inputting equivalent ZDW distribution vs inputting MPS-measured (i.e., average) ZDW
58ch
72ch
© 2013 ADVA Optical Networking. All rights reserved. Confidential.OFC/NFOEC 2013, Anaheim CA (NW4E.4)
S-USCA channel distributions compared
• Optimal allocation of channels for e.g., 70 of 96 channels differ greatly given knowledge of ZDW distribution
Opti
miz
ed f
or
avera
ge Z
DW
Opti
miz
ed f
or
dis
trib
ute
d Z
DW
channel number
© 2013 ADVA Optical Networking. All rights reserved. Confidential.OFC/NFOEC 2013, Anaheim CA (NW4E.4)
Conclusions
• Demonstrated technique for characterizing equivalent ZDW distribution for maximized transmission capacity1. FWM efficiency of span measured2. Equivalent ZDW distribution extracted from inverse search-and-
optimization numerical algorithm
• Result used to generate optimized S-USCA for given network
• May be combined with additional mitigation procedures• Power pre-emphasis• Raman amplification
• Additional benefits realized when combined with:• Higher-order phase-modulated formats (mPSK vs OOK)• High-coding gain SD-FEC (BERs > 10-2)• electronic equalization• coherent technologies