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For the negative equipment limit, the amount of dispersion compensation is as follows: CD DCM CD equip CD f CD DCM 1000 ps/nm 1800 ps/nm CD DCM 2800 ps/nm Total DCM compensation needs to be in the range as follows: 2800ps/nm CDDCM 800ps/nm If 500 ps/nm DCM with 3 dB insertion loss per module are available, two of these modules can be inserted into the fiber link to reduce total link dispersion to an acceptable level of +800 ps/nm CD tot = CDDCM + CD f CDtot = 2( 500ps/nm) + 1800ps/nm CDtot = +800ps/nm New fiber link total optical loss including DCMs is as follows: tot = DCM + totold tot = 6 dB + 225dB tot = 285dB This is the total fiber span loss that can be measured by an optical power meter To calculate receiver signal power the chromatic dispersion penalty needs to be included as follows: (Note, the dispersion penalty loss cannot be measured by an optical power meter) Pin = Pout tot CD where (461) (460)
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tot = total fiber optical loss including DCMs, dB totold = previous total fiber optical loss not including DCMs, dB CD = receiver chromatic dispersion power penalty, dB DCM = DCM optical loss, dB Pin = minimum receiver optical power, dBm Pout = minimum laser output optical power, dBm Prx = 4dBm 285 dB 2dB Prx = 265dBm
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The calculated optical receive power of 265 dBm is stronger than the minimum receiver sensitivity specification of 29 dBm and therefore this plan can produce a 1550 nm 10 Gbps transmission system with a BER 10 12 or better
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For dispersion compensation in links that carry DWDM wavelengths, the chromatic dispersion across the entire operating DWDM band
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needs to be compensated equally This is accomplished by matching chromatic dispersion and dispersion slope of the link fiber with the dispersion compensating fiber (DCF)13 A parameter called relative dispersion slope (RDS) is used in these calculations RDS is defined as the ratio of the chromatic dispersion slope to the chromatic dispersion at the 1550 nm wavelength For good compensation, the RDS of the transmission fiber should equal the RDS of the compensating fiber See Table 45 for typical fiber RDS values RDS f = Sf CD f SDCF CDDCF
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(462)
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RDSDCF = where
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(463)
RDSf = fiber relative dispersion slope at 1550 nm, nm 1 Sf = fiber chromatic dispersion slope at 1550 nm, ps/nm2 CDf = fiber chromatic dispersion at 1550 nm, ps/nm RDSDCF = DCF relative dispersion slope at 1550 nm, nm 1 SDCF = DCF chromatic dispersion slope at 1550 nm, ps/nm2 CDDCF = DCF chromatic dispersion at 1550 nm, ps/nm
The dispersion slope compensation ratio (DSCR) provides an indication of how well the dispersion is compensated If the RDS of the transmission fiber is the same as the DCF (or DCF module) then the DSCR is 100%, which provides for the best compensation DSCR = RDSDCF 100 RDS f
(464)
where DSCR is the dispersion slope compensation, % If DSCR is not 100%, there will be an uneven increase in accumulated dispersion across the compensated band and some DWDM wavelengths may exceed the chromatic dispersion acceptable level
Example 42 For a newly planned 10 Gbps, C-band, DWDM system to be added to an existing 70 km length of SSMF/cable, how much chromatic dispersion compensation will be required The 10 Gbps lightwave equipment specifications are as follows: Tx power: Rx sensitivity (@ BER 10 12): Equipment CD limit: Rx CD power penalty: 40 dBm 270 dBm +/ 1000 ps/nm 20 dB
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Fiber specifications are as follows: Fiber loss at 1550 nm: Other losses (connectors, splices, etc): CDc at 1550 nm: CD slope at 1550 nm: RDS at 1550 nm: 021 dB/km 15 dB +180 ps/(nm km) 0058 ps/(nm2 km) 00032 nm 1
To determine if dispersion compensation will be required we calculated fiber dispersion at 1550 nm using Eq (411) CD = CDc L CD = +180 ps/(nm km) 70km CD = +1260ps/nm Therefore +1260 ps/nm is higher than the optics dispersion limit of 1000 ps/nm and chromatic dispersion compensation will be required To match the fiber dispersion slope across the 1550 nm DWDM band, we will need to compensate with a DCM that has an RDS of 00032 nm 1 A C-band DCM was found to have the same DCF RDS, with chromatic dispersion of 400 ps/nm and insertion loss of 3 dB DSCR = DSCR = RDSDCF 100 RDS f 0 0032 100 0 0032
DSCR = 100% The total link chromatic dispersion after the DCM module is added is calculated from Eq (455) as follows: CD tot = CDDCM + CD CDtot = 400ps/nm + 1260ps/nm CDtot = +860ps/nm With this module added to the link, the link total dispersion is +860 ps/nm, which is within acceptable limits for this optical equipment across the DWDM band We calculate the link optical budget, Eq (459) as follows: tot = A L + other tot = 021dB/km 70km + 15dB + 3dB tot = 192dB Calculate receive level, Eq (461), as follows Pin = Pout tot CD Pin = 4dBm 192dB 2dB Pin = 172dBm Receive level of 172 dBm is within acceptable limits for this equipment
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