A) EDFA Amplifier:
At first, we will use EDFA Amplifier only at different configuration and different pumping wavelength for single and multi-stages of EDFA.
I) One-stage EDFA:
The performance of a single stage EDFA alone as amplifier is studied by which the comparison of the gain flatness between maximum and minimum values of gain for signals at constant 4m length of EDFA and different pumping configurations of 980nm and 1480nm, backward and forward, and different spacing between channels of 0.8nm and 0.4nm, as shown in Table (1).
Table (1): Gain flatness of EDFA at different pump configurations, pump power and channel spacing
It can be observed that, under the same spacing between channels fixed to 0.8 nm-space, the gain flatness gives a better performance at 1480 nm pump wavelength of 0.55 dB as compared to 980 nm pump wavelength which offers 1.2 dB gain flatness, and the gain flatness is a little higher at forward pump than backward pump at both of 980 nm and 1480 nm pump wavelength.
Using 0.4nm channels spacing allows more spectral efficient transmission. Moreover, when comparing 0.8nm and 0.4nm channels spacing at 1480nm pump wavelength it is found that gain flatness has improved performance in the case of using channel spacing 0.4nm. The gain flatness reduced to amount of 32.84% at 980nm and 20.9% at 1480nm as compared to 0.8nm channel spacing with 30mw pumping power. At 0.4nm channel spacing, using 1480nm wavelength reduces the gain flatness to 31.1% compared to the gain flatness at 980nm, the results are summarized in Table (1).
Hence, pumping configuration of 1480 nm forward wavelength at 0.4nm channels spacing is more suitable in case of requirement in order to obtain lesser gain variations between signals. Towards improving the system performance compared to the results in [2, 3, 5], it is found that using forward pumping could improve the gain flatness at both 980nm pump wavelength used in [2, 3, 5] and 1480nm in [5] by a little amount and this improvement is achieved at large channel spacing 0.8nm [2, 3].
The system is now analyzed for gain flatness by using 0.4nm channel spacing (1446–1452 nm) and 1480nm forward pump wavelength and different lengths of EDFA and pump power as in Table (2). We find that, the best result of gain variation for various lengths of EFDA scanned from 4m to 7m is at 5.5m EDFA length of 0.11dB, and then as EDFA-length increases the gain variation also increases.
Table (2): Gain variation at different EDFA-lengths and pump power for 0.4nm-spacing
|
gain flatness(dB) at EDFA-lengths
|
Pump power
|
4m
|
5m
|
5.5m
|
6m
|
6.5m
|
7m
|
60 mw
|
0.29
|
0.17
|
0.13
|
0.24
|
0.44
|
0.68
|
70 mw
|
0.32
|
0.22
|
0.11
|
0.19
|
0.37
|
0.61
|
80 mw
|
0.34
|
0.25
|
0.15
|
0.17
|
0.32
|
0.55
|
The gain and NF spectrum at different pumping powers for EDFA with length of 5.5m are shown in Fig. (2), it's seen that as pumping power increases the gain increases as well but the variation of gain also increases. So, the best result for gain variation of 0.11dB between signals is at 70mw pumping power and the gain ranges within 29.645 ± 0.055dB. The eye diagram is shown in Fig. (3).
So, the best results for gain and gain flatness of one-stage EDFA is at the conditions of; 1480nm forward pump wavelength, at 5.5m EDFA length, and 70mw pump power which has the gain of 29.645 ± 0.055dB. In addition, it is found that at these specified parameters the NF is 4.37 ± 0.1dB, Q-factor is 9.67 and BER is 1.7×10− 22.
II) Two-stages EDFA:
To improve the gain flatness, the gain and NF, it is recommending to use two-stages EDFA forward pumping configuration, first stage is 980nm pump which has low NF and the second stage is 1480nm pump which has high gain and 0.4nm channel spacing by which this two stage configuration inherits the merits of both stages. The two stage configuration is the best one among the four combinations of the different pumping wavelengths and configurations (backward& forward and 980nm & 1480nm) [11].
The system is analyzed for gain spectrum at different values of first-stage lengths and constant pumping power, while second-stage length of 4m and pump power of 400mw, the results are shown in Table (3) and Fig. (4). It can be observed that, at the same pumping power the gain is increases as EDFA-length increases with a small value and the best value of gain variation is by using 4m first-stage length.
Table (3): Gain for two-stages at different first stage length (2nd stage 4m, 400mw)
|
first-stage length EDFA
|
1st-Pump power
|
|
3m
|
3.5m
|
4m
|
4.5
|
5m
|
Gain flatness (dB)
|
0.48
|
0.26
|
0.21
|
0.42
|
0.7
|
100(mw)
|
0.52
|
0.3
|
0.19
|
0.38
|
0.66
|
150(mw)
|
Max gain (dB)
|
41. 6
|
41.7
|
41.8
|
41.9
|
42
|
100(mw)
|
41.8
|
42
|
42.13
|
42.17
|
42.2
|
150(mw)
|
Then, we use constant first-stage length of 4m and different values of second-stage lengths and constant first-stage pump power of 70mw, the results are recorded in Table (4).
It's can be obtained that at the same pump power the minimum value for gain variation is at 3.5m second-stage length and at the same second-stage length of 3.5m at 300mw pump power gives the best result.
Table (4): Gain flatness for 2-stages at different second stage length (1st -stage Pp = 70mw)
|
2nd -Pump power
|
2nd -stage length
|
|
3m
|
3.5m
|
4m
|
4.5
|
5m
|
Gain flatness(dB)
|
200mw
|
0.19
|
0.22
|
0.43
|
0.68
|
0.95
|
300mw
|
0.3
|
0.16
|
0.3
|
0.53
|
0.8
|
350mw
|
0.34
|
0.16
|
0.25
|
0.47
|
0.74
|
370mw
|
0.36
|
0.17
|
0.24
|
0.45
|
0.7
|
400mw
|
0.38
|
0.2
|
0.23
|
0.42
|
0.69
|
Then we used 4m first-stage length, 3.5m second-stage length and constant pump power of 300mw and different values of first-stage pump power the results are tabulated in Table (5) and gain and NF spectrum are shown in Fig. (5).
Table (5): Gain and NF for 2-stages at different first stage pump power,4m (2nd -stage 3.5m, 300mw)
first-Pump power (mw)
|
10
|
25
|
30
|
40
|
70
|
100
|
120
|
150
|
gain flatness (dB)
|
0.52
|
0.22
|
0.2
|
0.187
|
0.156
|
0.148
|
0.17
|
0.19
|
Max Gain (dB)
|
35.6
|
38.8
|
39.1
|
39.5
|
40.1
|
40.5
|
40.74
|
41
|
Min NF (dB)
|
3.87
|
3.43
|
3.4
|
3.38
|
3.37
|
3.37
|
3.37
|
3.37
|
From Table (5) and Fig. (5) it is found that the gain increases with a small amount as pumping power increases and the value of NF remains almost the same at all pumping power. The minimum value of gain variation is 0.148dB at 100mw first-stage pump power, and the Eye diagram is shown in Fig. (6).
So, the best result for gain flatness, gain and NF of two-stages EDFA by using 4m length and 100mw pumping power for first-stage with 3.5m length and 300mw pumping power for second-stage. This configuration gives a gain of 40.426 ± 0.074dB, NF of 3.46 ± 0.096dB, Q-factor of 9.98 and BER of 8.5×10− 24.
III) Three-stages EDFA:
The system is now analyzed by using 3-stages forward pumping configuration. It is found that, the best configuration is achieved at; first stage is 980nm pump, the second and third one is 1480nm pump, 0.4nm-spacing, pump power of the second and third stage is 500mw, the optimum values for lengths of the three stages EDFA are 4m first stage, 2m second stage and 2.5m third stage. The gain flatness at different values of first-stage pump power are tabulated in Table (6) and gain and NF shown in Fig. (7) and the Eye diagram is shown in Fig. (8). It can be seen that, best result for gain flatness is obtained at 250mw EDFA-pump power of 0.16dB.
Table (6): Gain and NF for three stages EDFA at different EDFA pump-power
first-Pump power (mw)
|
10
|
30
|
40
|
100
|
150
|
250
|
500
|
gain flatness (dB)
|
0.47
|
0.23
|
0.22
|
0.2
|
0.18
|
0.16
|
0.21
|
Max Gain (dB)
|
41.4
|
44.25
|
44.5
|
45.1
|
45.3
|
45.7
|
46.4
|
Min NF (dB)
|
3.86
|
3.4
|
3.37
|
3.35
|
3.35
|
3.35
|
3.35
|
So, the best result for gain flatness, gain and noise figure of three-stages EDFA at 250mw first-stage pump power which has gain of 45.62 ± 0.08dB, noise figure of 3.455 ± 0.105dB, Q-factor of 9.98 and BER of 8.6×10− 24.
B) RAMAN Amplifier:
We use the second type of amplifier, Raman amplifier only.
I) RFA with one pump wavelength:
The system is analyzed by using RFA pumped at 1444nm for different pump power. The gain spectrum is shown in Fig. (9), we can obtain that the gain increases as pump power increases also the gain variation between different channels increases. The max gain at 900mw is 12.9dB, the Noise Figure is high and about 7dB.
II) RFA with Two pump wavelengths:
we used two pump wavelengths pumped at 1444nm and 1454nm and pump power of 600mw for 1454nm and different pump power for 1444nm the result is shown in Fig. (10). The gain and variation are increased as pump power is increased, the max gain at 900mw is 22dB, the NF is still high and about 7dB as one pump power. The gain flatness is minimum at 800mw of 0.056dB which has gain of 20.38 ± 0.028dB, with Q-factor of 8.56 and BER of 1.23×10− 18.
C) Hybrid EDFA & RAMAN Amplifier:
The other method for gain is the usage of the hybrid amplifier of EDFA and Raman amplifier.
I) EDFA-Raman (2 pump-RA):
At first, the system is analyzed by using EDFA-Raman hybrid optical amplifier. The first stage is EDFA at 1480nm forward pump and the second stage is10km length of Raman which has two pumps at 1444nm and a1457nm with pumping power of 450mw.At constant EDFA pump power of 100mw and testing different values of EDFA-lengths the gain flatness is shown in Table (7). It can be seen that at 5m EDFA-length gives the minimum value of gain variation.
Table (7): Gain flatness for EDFA-Raman at different EDFA-lengths
EDFA-length
|
4m
|
4.5m
|
5m
|
5.5m
|
6m
|
gain flatness (dB)
|
0.1
|
0.1
|
0.087
|
0.2
|
0.3
|
Max Gain (dB)
|
36
|
37.8
|
39.1
|
40.3
|
40.9
|
Then we used 5m EDFA and different values of pump power gain flatness are tabulated in Table (8) and shown in Fig. (11). It can be seen that gain increases and NF decreases with small value as pump power increases. The best value for gain variation at 100mw pump power of 0.087dB.
Table (8): Gain and NF for EDFA-Raman at different EDFA pump-power
EDFA-Pump power (mw)
|
10
|
25
|
30
|
40
|
70
|
100
|
150
|
180
|
gain flatness (dB)
|
1
|
0.43
|
0.35
|
0.25
|
0.12
|
0.087
|
0.1
|
0.13
|
Max Gain (dB)
|
30
|
35.6
|
36.3
|
37.14
|
38.46
|
39.16
|
39.9
|
40.2
|
Min NF (dB)
|
4.87
|
4.46
|
4.42
|
4.37
|
4.29
|
4.26
|
4.24
|
4.23
|
So, the best result for EDFA-Raman hybrid amplifier is obtained at 5m EDFA pumped at 100mw, which has gain of 39.11 ± 0.0435dB, noise figure of 4.34 ± 0.08dB, Q-factor of 9.7 and BER of 1.2×10− 22.
II) Raman-EDFA (2 pump-RA):
Then, the system is analyzed by using Raman-EDFA with first stage is 10km length of Raman have two backward pumps at 1444nm and a1457nm at pump power of 450mw and second stage 5m-EDFA at 1480nm forward pump. The results for gain flatness at different values of EDFA Pump power are recorded in Table (9). It can be seen that, best result for gain flatness is obtained at 100mw EDFA-Pump power.
Table (9): Gain and NF for EDFA-Raman (2 pump-RA) at different EDFA pump-power
EDFA-Pump power (mw)
|
10
|
25
|
30
|
40
|
70
|
100
|
150
|
180
|
gain flatness (dB)
|
1.9
|
1.33
|
1.23
|
1
|
0.83
|
0.68
|
0.52
|
0.45
|
Max Gain (dB)
|
23
|
28.3
|
29.23
|
30.5
|
32.8
|
34.15
|
35.57
|
36.18
|
Min NF (dB)
|
7.07
|
7.08
|
7.09
|
7.1
|
7.11
|
7.12
|
7.13
|
7.13
|
So, the best result for Raman-EDFA hybrid amplifier is obtained also at100mw pump power of 0.68dB, which has gain of 33.81 ± 0.34dB, noise figure of 7.205 ± 0.085dB, Q-factor of 8.5 and BER of 4.8×10− 18.
When comparing two configuration of EDFA-Raman and Raman-EDFA hybrid amplifier, we can obtain that gain flatness, gain, NF, Q-factor and BER at EDFA-Raman performs better that Raman-EDFA hybrid amplifier.
III) EDFA-Raman (3 pump-RA):
We used three pump wavelength for Raman amplifier, the system analyzed by using one stage 5m-length EFDA at 1480nm forward pump and second stage is 10km length of Raman amplifier have three backward pumps at 1444nm,1457nm at pump power of 450mw and a1448nm at pump power of 200mw, the results are recorded in Table (10) and Fig. (12).
Table (10): Gain and NF for EDFA-Raman (3 pump-RA) at different EDFA pump-power
EDFA-Pump power (mw)
|
10
|
25
|
30
|
40
|
70
|
100
|
150
|
180
|
gain flatness (dB)
|
1
|
0.39
|
0.31
|
0.21
|
0.109
|
0.098
|
0.1
|
0.11
|
Max Gain (dB)
|
33.2
|
38
|
38.5
|
39
|
40.4
|
40.9
|
41.5
|
41.8
|
Min NF (dB)
|
4.88
|
4.45
|
4.41
|
4.4
|
4.28
|
4.25
|
4.23
|
4.22
|
The best result for gain variation is obtained at 100mw pump power of 0.098dB, which has gain of 40.851 ± 0.049dB, noise figure of 4.33 ± 0.088dB, Q-factor of 9.7 and BER of 1.2×10− 22 .
IV) EDFA-Raman (4 pump-RA):
We used four pump wavelength for Raman amplifier, the system analyzed by using one stage 5m-length EFDA at 1480nm forward pump and second stage is 10km length of Raman amplifier have 4 backward pumps at 1444nm,1457nm at pump power of 450mw and a1448nm and 1452nm at pump power of 200mw, the results are recorded in Table (11).
Table (11): Gain flatness for EDFA-Raman (3 pump-RA) at different EDFA pump-power
EDFA-Pump power (mw)
|
10
|
25
|
30
|
40
|
70
|
100
|
150
|
180
|
gain flatness (dB)
|
1
|
0.4
|
0.33
|
0.25
|
0.16
|
0.15
|
0.2
|
0.24
|
Max Gain(dB)
|
35.5
|
39.1
|
39.6
|
40.1
|
41
|
41.4
|
41.8
|
42.1
|
Min NF (dB)
|
4.88
|
4.43
|
4.4
|
4.33
|
4.26
|
4.23
|
4.21
|
4.2
|
The best result for gain flatness is obtained here also at 100mw pump power of 0.15dB, which has gain of 41.325 ± 0.075dB, noise figure of 4.3175 ± 0.0875dB, Q-factor of 9.7 and BER of 1.19×10− 22.
When comparing two, three and four Pumping-Raman configurations, it is found that gain flatness and gain are high at four Pumping-Raman compared to two and three Pump-Raman. The best configuration is one EDFA-Raman hybrid optical amplifier.
V) EDFA (980nm) - Raman (2 pump):
In [11], we find that 980nm pump wavelength EDFA has low noise figure than 1980nm and the best value of gain flatness is obtained at hybrid EDFA-Raman. Hence, to get the optimum values of gain flatness and low NF we used hybrid EDFA-Raman and EDFA pumped at 980nm forward configuration to get the benefits of both low NF and best gain variation, and the results for 5m EDFA and different values of pump power are tabulated in Table (12) and shown in Fig. (13).
It's obtained that, the best result for gain flatness is at 40mw pump power of 0.089dB.
Table (12): Gain and NF for EDFA-Raman at different EDFA pump-power (5m)
EDFA-Pump power (mw)
|
10
|
25
|
30
|
40
|
70
|
100
|
150
|
50
|
gain flatness (dB)
|
1.5
|
0.38
|
0.26
|
0.089
|
0.26
|
0.39
|
0.53
|
0.148
|
Max Gain (dB)
|
26.5
|
35.7
|
36.6
|
37.7
|
39.7
|
40.7
|
41.7
|
38.6
|
Min NF (dB)
|
4
|
3.5
|
3.5
|
3.5 + .13
|
3.52
|
3.55
|
3.56
|
3.5
|
So, the best result for EDFA (980nm) - Raman (2Pump) hybrid amplifier is obtained at EDFA pumped at 100mw, which has gain of 37.65 ± 0.0445dB, noise figure of 3.56 ± 0.065dB, Q-factor of 9.97 and BER of 9.3×10− 24.