Method for Monitoring a Pump Laser of at Least One Optical Amplifier in an Optical Transmission Link in Operation
20230411924 ยท 2023-12-21
Inventors
Cpc classification
H01S3/10015
ELECTRICITY
H04B10/291
ELECTRICITY
International classification
Abstract
Provided is a method for monitoring a pump laser of at least one optical amplifier in an optical transmission link in operation. The optical output power of the pump laser to be monitored depends on an injection current. The pump laser to be monitored is operated at an operating point defined by a given value of the injection current and a corresponding value of the optical output power. The method includes the steps of shifting the operating point of the pump laser to be monitored to at least one shifted operating point. The shifting is effected in such a way that the gain of the respective optical amplifier essentially reaches its steady state, determining information on the at least one shifted operating point, and using the information on the operating point and the at least one shifted operating point to determine information on the stage of aging of the pump laser to be monitored.
Claims
1. A method for monitoring a pump laser of at least one optical amplifier in an optical transmission link in operation, wherein the optical output power of the pump laser to be monitored depends on an injection current and wherein the pump laser to be monitored is operated at an operating point defined by a given value of the injection current and a corresponding value of the optical output power, the method comprising the steps of: (a) shifting the operating point of the pump laser to be monitored to at least one further operating point (shifted operating point), wherein the shift is effected in such a way that the gain of the respective optical amplifier essentially reaches its steady state, (b) determining information on the at least one shifted operating point, and (c) using the information on the operating point and the at least one shifted operating point to determine information on the stage of aging of the pump laser to be monitored.
2. The method of claim 1, wherein the at least one shifted operating point is reached: by controlling the injection current to a different, shifted value and measuring the resulting optical pump power in order to obtain the information on the shifted operating point, or by controlling the optical pump power to a different, shifted value and measuring the resulting injection current in order to obtain the information on the shifted operating point, or by controlling the optical power of an optical transmission signal at an output port of the optical amplifier comprising the pump laser to be monitored to a different, shifted value and measuring the resulting optical pump power and the resulting injection current to obtain the information on the shifted operating point.
3. The method of claim 1, wherein the at least one shifted operating point is determined in such a way that one or more parameters characterizing the transmission quality of the optical transmission link are not changed by more than a predetermined amount or do not exceed a predetermined threshold or do not fall below a predetermined threshold.
4. The method of claim 1, wherein the change in optical output power of a first pump laser between the operating point and the at least one further operating point is compensated by a change of an injection current of at least one second pump laser.
5. The method of claim 4, wherein the second pump laser is a component of either the same optical amplifier as the first pump laser or of a further optical amplifier).
6. The method of claim 4, wherein the compensation of the optical power is effected by measuring the optical power of an optical transmission signal at a predetermined position within the optical transmission link, which is located downstream of the at least one second pump laser, preferably in the region of an output port of a selected one of the one or more optical amplifiers, and controlling the injection current of the at least one second pump laser in such a way that the optical power of the optical transmission signal remains essentially constant.
7. The method of claim 1, wherein the information on the stage of aging of the pump laser to be monitored comprises a maximum value of the optical output power at a predetermined maximum value of the laser injection current of the amplifier in its current stage of aging or an information dependent on this maximum value of the optical output power.
8. The method of claim 1, wherein the information on the stage of aging is obtained at predetermined points in time or at given time intervals and wherein, from this information, the maximum period of time is determined for which the pump laser) fulfills a predetermined specification requirement, for example a predetermined minimum value of the optical pump power that is reached at a maximum specified value of the injection current.
9. The method of claim 1, wherein the optical transmission link is an optical wavelength division multiplex (WDM) transmission link operated with a number of optical channels smaller than a given maximum number of channels and wherein the information on the stage of aging of the pump laser to be monitored is a number of channels or capacity increase by which the optical WDM transmission link can be expanded without exceeding a given maximum value of the injection current and/or whether it is still possible to expand the optical WDM transmission link to the given maximum number of channels.
10. The method of claim 1, wherein the information on the stage of aging of the pump laser to be monitored is determined by applying a mathematical regression method, especially linear extrapolation, using the values of the injection current and the respective values of the optical output power defining the operating point and the at least one shifted operating point.
11. A control device for controlling and monitoring a pump laser of at least one optical amplifier in an optical transmission link, the control device being configured: (a) to receive information on an operating point of the pump laser to be monitored, wherein the operating point is defined by a value of the injection current supplied to the at least one pump laser and a corresponding value of the optical output power created by the at least one pump laser, and (b) to output control information to the at least one optical amplifier at least comprising information defining the operating point, wherein: (c) the control device is further configured: i. to output information to the at least one optical amplifier that is adapted to create at least one shift of the operating point in order to operate the pump laser to be monitored, for a predetermined time, at at least one shifted operating point, ii. to receive information created by the at least one optical amplifier defining the shifted operating points, and iii. to use the information on the operating point and the at least one shifted operating point using the values of the operating point and the at least one further operating point to determine information on the stage of aging of the pump laser to be monitored.
12. A control device for controlling and monitoring a pump laser of at least one optical amplifier in an optical transmission link in operation, wherein the optical output power of the pump laser to be monitored depends on an injection current and wherein the pump laser to be monitored is operated at an operating point defined by a given value of the injection current and a corresponding value of the optical output power, the control device being configured: (a) to receive information on an operating point of the pump laser to be monitored, wherein the operating point is defined by a value of the injection current supplied to the at least one pump laser (116) and a corresponding value of the optical output power created by the at least one pump laser, (b) to output control information to the at least one optical amplifier at least comprising information defining the operating point, wherein (c) the control device is further configured: i. to output information to the at least one optical amplifier that is adapted to create at least one shift of the operating point in order to operate the pump laser to be monitored, for a predetermined time, at at least one shifted operating point, wherein the shift is effected in such a way that the gain of the respective optical amplifier essentially reaches its steady state, ii. to receive information created by the at least one optical amplifier defining the shifted operating points; and iii. to use the information on the operating point and the at least one shifted operating point using the values of the operating point and the at least one further operating point to determine information on the stage of aging of the pump laser to be monitored; and (d) wherein the control device is further configured: i. to control the injection current to a different, shifted value and receive information on the resulting optical pump power measured by the optical amplifier in order to obtain the information on the shifted operating point, or ii. to control the optical pump power to a different, shifted value and receive information on the resulting injection current measured by the optical amplifier in order to obtain the information on the shifted operating point, or iii. to control the optical power of an optical transmission signal at an output port of the optical amplifier comprising the pump laser to be monitored to a different, shifted value and receive information on the resulting optical pump power and the resulting injection current measured by the optical amplifier in order to obtain the information on the shifted operating point.
13. The control device of claim 12, wherein the control device is further configured to determine the at least one shifted operating point in such a way that one or more parameters characterizing the transmission quality of the optical transmission link are not changed by more than a predetermined amount or do not exceed a predetermined threshold or do not fall below a predetermined threshold.
14. The control device of claim 12, wherein the control device is further configured to compensate the change in optical output power of a first pump laser between the operating point and the at least one further operating point by correspondingly controlling an injection current of at least one second pump laser, wherein the second pump laser is a component of either the same optical amplifier as the first pump laser or of a further optical amplifier.
15. The control device of claim 12, wherein the control device is further configured to compensate the change in optical output power of a first pump laser between the operating point and the at least one further operating point by correspondingly controlling an injection current of at least one second pump laser, wherein the second pump laser is a component of either the same optical amplifier as the first pump laser or of a further optical amplifier; and wherein the control device is further configured to compensate the optical power by receiving information on the optical power of an optical transmission signal at a predetermined position within the optical transmission link, which is located downstream of the at least one second pump laser, preferably in the region of an output port of a selected one of the one or more optical amplifiers, and controlling the injection current of the at least one second pump laser in such a way that the optical power of the optical transmission signal remains essentially constant.
16. The control device of claim 12, wherein the control device is further configured to receive information on the stage of aging at predetermined points in time or at given time intervals and wherein, from this information, determine the maximum period of time for which the pump laser fulfills a predetermined specification requirement, for example a predetermined minimum value of the optical pump power that is reached at a maximum specified value of the injection current.
17. An optical amplifier comprising a control device configured for monitoring a pump laser of at least one optical amplifier in an optical transmission link in operation as in claim 11.
18. An optical transmission link comprising at least one optical amplifier and a control device configured for monitoring a pump laser of at least one optical amplifier in an optical transmission link in operation as in claim 11.
19. An optical amplifier comprising a control device configured for monitoring a pump laser of at least one optical amplifier in an optical transmission link in operation as in claim 16.
20. An optical transmission link comprising at least one optical amplifier and a control device configured for monitoring a pump laser of at least one optical amplifier in an optical transmission link in operation as in claim 12.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
[0027] In the following, the invention will be described in more detail with reference to the drawings. In the drawings,
[0028]
[0029]
[0030]
[0031]
[0032]
[0033]
[0034]
[0035]
[0036]
[0037]
DESCRIPTION OF THE INVENTION
[0038]
[0039] The area on the right of the coordinate system defined by injection currents larger than the value I.sub.al represents an alarm-area. If, during monitoring of the pump laser, the current value of the injection current exceeds this maximum value I.sub.al, an alarm is created. Furthermore, an alarm is created if it is found, during monitoring the pump laser when operated at an operating point having an injection current value lower than the value I.sub.al, that the value I.sub.al would be exceeded if the operating point was shifted to a specified target value P.sub.tgt of the optical pump power.
[0040] The target value P.sub.tgt of the optical output power of the pump may, for example, be required in order to obtain a correspondingly high gain of an optical amplifier comprising the pump laser, wherein the gain is defined as the ratio of the optical power of the output signal amplified by the optical amplifier and the optical power of the optical input signal supplied to the optical amplifier. As already mentioned above, in an optical WDM transmission link, the pump power must be the higher the more optical channel signals are to be optically amplified in order to reach a given (minimum) gain for each of the optical channel signals. That is, the optical amplifiers in optical WDM transmission links must be specified in such a way that a predetermined gain can be reached for each transmission channel even if the maximum specified number of optical channels is used for transmitting a respective maximum number of optical channel signals.
[0041]
[0042] As apparent from the LI curve for the aged pump laser in
[0043]
[0044]
[0045] This highlights the need for a monitoring method which makes it possible to assess whether the pump laser still matches its specification requirements in its current aging status. It would also be desirable to determine the remaining operational life span of a pump laser in an optical amplifier.
[0046]
[0047] In
[0048] According to the invention, the course of the current LI curve (i.e., the course of the LI curve characterizing the pump laser in its current stage of aging) can be determined by shifting the pump laser from an initial operating point to at least two, preferably more than two, operating points (in the current stage of aging) and determining the respective values of the injection current and the optical pump power. Using these values, any suitable mathematical regression method can be used in order to reconstruct or approximate the actual course of the current LI curve by an analytical function. Especially linear regression may be used in order to approximate the actual LI curve. The corresponding analytical (or numerically described) function can then be used to determine the values defining any other operating point. For example, as explained above, this function may be used to determine whether an operating point at the specified target value P.sub.tgt of the optical pump power can (still) be reached with an injection current below or at the maximum threshold value I.sub.al.
[0049] It is further possible to determine a remaining time span for the pump laser monitored in which the pump laser is able to create the specified target pump power P.sub.tgt with an admissible value of the injection current that is lower than I.sub.al. For this, the method explained above can be carried out from time to time (at predetermined points in time, e.g., at equidistant points in time), wherein the injection current I.sub.tgt to is determined that is necessary to create the target pump power P.sub.tgt. From these pairs of values, each comprising the respective point in time and the respective value I.sub.tgt to of the injection current, an aging function may be determined, e.g., using a mathematical regression method, especially linear regression. The aging function I.sub.tgt(time) may be used to calculate the point in time at which the injection current I.sub.tgt reaches the maximum admissible value I.sub.al. In this way, the life-time of a pump laser may be assessed and the pump laser may be replaced in good time before its aging status reaches progresses beyond the border as of which the pump laser cannot match its specification requirements any more. Furthermore, quality of the pump laser can be indicated by relating the aging that has already happened to the maximum allowed aging, wherein aging is expressed in terms of the injection current I.sub.tgt to that is necessary to create the target pump power P.sub.tgt
[0050]
[0051] Next, the optical transmission signal passes through an optical isolator 110, which blocks reflected signal components and pump power components as well as backward propagating light consisting of ASE (Amplified Spontaneous Emission) created in the optically pumped media of the EDFA, In the further course of the optical signal path through the optical amplifier 100, a high-power pump light, created by a pump laser 116, is combined with the incoming optical transmission signal S.sub.1,opt using a first wavelength selective optical coupler (WSC) 114. The optical transmission signal S.sub.1,opt and the pump light reveal non-overlapping optical spectra. The combined light is then guided into a pump section realized by an erbium-doped fiber (EDF) 108. The optical pump light created by the pump laser excites the erbium ions to a higher-energy state. The photons of the optical transmission signal S.sub.1,opt at wavelengths differing from the wavelength of the pump light interact with the excited state of the erbium ions, wherein erbium ions are caused to drop from the excited state to a lower-energy state. In this way, additional photons are created having exactly the same wavelength, phase and direction as the photons of the optical transmission signal S.sub.1,opt to be amplified. The whole additional signal power is guided in the same fiber mode as the incoming optical transmission signal S.sub.1,opt.
[0052] The remaining portion of the pump light that has not been used in order to create the stimulated light is extracted from the main optical path through the optical amplifier 100 using a second (optional) WSC 115. The optical transmission signal S.sub.1,opt remaining within the optical path passes through a second optical isolator 110. In a next step, using a second tap coupler 112, the optical power (i.e., its absolute value or a (relative) value corresponding thereto) of the incoming optical transmission signal S.sub.1,opt is measured by a second optical sensor device comprising photo diode 102. The information about the amplified optical power of the optical transmission signal S.sub.1,opt may be transmitted to the control device 203 as indicated by the dashed arrow. The amplified optical signal S.sub.1,opt is output at an output port of the first stage 201 of the two-stage optical amplifier 100.
[0053] The optical transmission signal S.sub.1,opt that has been amplified by the first stage 201 passes through the VOA 106, which connects the two stages of the optical amplifier, and is then fed to an input port of the second stage 202 of the optical amplifier 100. The VOA 106 may be configured to level the gain of the optical amplifier 100 at differing signal wavelengths in order to achieve gain flatness, i.e., the VOA may be configured as a gain equalization filter. Alternatively, gain flattening may be achieved by a passive filter incorporated in the setup and called gain-flattening filter (GFF).
[0054] The second stage 202 of the two-stage optical amplifier 100 reveals the same structure as the first stage 201. Thus, corresponding components are designated by identical reference numbers. Also, the general functionality of the components of the second stage 202 is essentially identical to the functionality of the first stage 201.
[0055] As shown in
[0056] Even in an embodiment in which the control device 203 is comprised by the optical amplifier 100 or is located, as an external device, near the optical amplifier 100, further information may be exchanged between the control device 203 and a higher order management device or system which may be configured to control the whole optical transmission link comprising the optical amplifier 100 or even a plurality of optical transmission links. Also, for this purpose, a management channel may be used as explained above.
[0057] As explained above, the method for monitoring a pump laser according to the invention can be carried out during normal operation of the optical transmission link. It shall be assumed that the respective optical transmission link (not shown) is operated, during its normal operation, in such a way that the pump laser 116 of the optical amplifier 100 to be monitored is operated at an operating point OP.sub.0 shown in
[0058] However, as already explained above, in order to assess whether the respective pump laser 116 is still able to be operated at an operating point at the target value P.sub.tgt of the optical pump power, it is necessary to gain sufficient information about the LI curve that characterizes the current status of the pump laser 116. For this purpose, the pump laser 116 to be monitored is operated at at least two different operating points. Using the pairs of values (in the LI curve) of the at least two operating points, the course of the LI curve in the current status of the pump laser 116 can be assessed by using a mathematical regression analysis.
[0059] In order to control the operating point of the pump laser 116 to be monitored, the control device 203 creates an interaction current control signal S.sub.ic, which is fed to the respective pump laser 116 or the respective driver circuit. In this way, the control device may shift the operating point to at least one further operating point, e.g., one of the operating points OP.sub.2, OP.sub.1 at a lower optical pump power or OP.sub.1, OP.sub.2, OP.sub.3 at a higher pump power (relative to the optical pump power of the operating point OP.sub.0) shown in
[0060] In one embodiment, one or more shifted operating points OP.sub.i (e.g., the operating points OP.sub.i (2i3, i0) as shown in
[0061] In another embodiment, one or more shifted operating points OP.sub.i may be adjusted by controlling the optical pump power to a different, shifted value. In this case, the control device 203 outputs control information to the optical amplifier 100 comprising information about the desired optical output power. In this case, an already existing feedback control loop, implemented in the control device 203, may be used.
[0062] In a further embodiment, one or more shifted operating points OP.sub.i may be adjusted by controlling the optical power of an optical transmission signal at the output port of the optical amplifier 100 or, preferably, at the output port of the respective stage 201, 202 of the optical amplifier 100 comprising the pump laser 116 to be monitored to a different, shifted value. For this purpose, a feedback control loop might be used, which is usually present in an optical amplifier, wherein the feedback control loop may be implemented by the control device 203. In this case, the control device 203 adjusts the interaction current by monitoring the corresponding signal S.sub.wp of the second optical sensor device and creating and feeding an appropriate injection current control signal S.sub.ic to the respective pump laser 116 to be monitored.
[0063] As, in the simplest embodiment, shifting of the operating point (by statically adjusting one or more shifted operating points OP.sub.i or dynamically (slowly enough) shifting the operating point and measuring respective pairs of values of the current LI curve) is carried out so slowly that the gain of the optical amplifier (i.e., at least of the stage of the optical amplifier that includes the pump laser to be monitored if the amplifier comprises more than one stage) is correspondingly varied, a maximum shift as compared to the normal operating point during the current normal operation of the optical transmission link should not be exceeded. This maximum shift should be determined in such a way that the optical transmission link is still capable of receiving the amplified optical transmission signal S.sub.1,opf correctly, i.e., with a sufficient quality at the respective end of the optical transmission link.
[0064] In order to guarantee a sufficient transmission quality, one or more parameters characterizing the transmission quality of the optical transmission link can be monitored when carrying out the monitoring method for one or more pump lasers in one or more optical amplifiers. Likewise, it is also possible to determine a maximum shift of an operating point in advance so that it is not necessary to monitor the transmission quality of the optical transmission link while carrying out the monitoring method for the pump laser(s). In both cases, the one or more parameters characterizing the transmission quality should not be changed by more than a predetermined acceptable amount or should not exceed or not fall below a predetermined threshold, respectively.
[0065] The one or more parameters characterizing the transmission quality may comprise the optical power of the optical transmission signal S.sub.1,opt at an output port of the optical amplifier 100 including the pump laser to be monitored (or at any position within the transmission link downstream the point at which the pump power of the pump laser to be monitored is coupled to the transmission path) or the bit error rate (BER) at the end of the optical transmission link. According to a further alternative, the error vector magnitude (EVM) may be used as a parameter that characterizes the transmission quality. The optical power of the optical transmission signal carrying user data should not fall below a threshold value while the BER or EVM should not exceed a predetermined threshold in order to ensure a sufficient transmission quality. Especially, if the acceptable range of the shift of the operating point is low, the value pairs of more than two, preferably a plurality of at least five, most preferably a plurality of at least ten at least slightly shifted operating points should be determined in order to reach a sufficiently high approximation of the current LI curve by means of the regression analysis.
[0066] As explained above, the (values of the) one or more parameters characterizing the transmission quality may be supplied to the control device 203 via a management channel in case the control device 203 monitors whether the values of these parameters remain in an acceptable range (or whether given thresholds are exceeded).
[0067] As explained above, the calculations and application of the regression method may be carried out by the control device 203. It is, however, also possible to transmit the values defining the two or more operating points to a further device, e.g., a higher order management device or system, which is configured to carry out the calculations required and any process necessary in order to assess aging characteristics of the pump laser to be monitored.
[0068] As a simple example, in
[0069] It is, of course, also possible to acquire, as information on the stage of aging of the pump laser to be monitored, a maximum value of the optical output or pump power at the predetermined maximum value of the laser injection current I.sub.al in its current stage of aging or information dependent on this maximum value of the optical output power.
[0070] In another embodiment, the optical transmission link is an optical WDM transmission link which, in the current operating mode, is operated with a number of optical channels smaller than a specified maximum number of channels. The information on the stage of aging of the pump laser to be monitored 116 may be the maximum number of channels or the maximum capacity by which the optical WDM transmission link can be expanded without exceeding a given maximum value of the injection current of the respective optical amplifier 100. Optionally, the information on the stage of aging of the pump laser 116 to be monitored comprises the information whether it is still possible to expand the optical WDM transmission link to the given maximum number of channels without exceeding a given maximum value of the injection current.
[0071]
[0072] In the embodiments shown in
[0073] In this way, either one or, preferably, both of the pump lasers can be monitored with respect to their stage of aging as the values defining the operating points during normal operation as well as the values defining the changed operating points can be determined.
[0074] Compensating the change of the operating point of a pump laser in an optical amplifier that comprises two or more pump lasers (either in the same stage or in different stages) leads to the advantage that the gain of the amplifier can be kept constant so that the optical power of the optical transmission signal at the amplifier output port can be kept constant. In this way, a deterioration of the transmission quality can be minimized.
[0075] However, as will be explained with reference to
[0076]
[0077] As shown in connection with this simple example, it is possible to essentially maintain the function of an optical transmission link comprising one or more optical amplifiers (which as a whole comprise two or more pump lasers) while varying the optical pump power, i.e. the operating point, of a first pump laser as this variation is compensated by correspondingly changing the optical pump power, i.e. the operating point, of a second pump laser. If the pump lasers are included in the same optical amplifier, the optical power of the optical transmission signal at the output port thereof can be maintained. Of course, the optical power of the two pump lasers can be varied in a predetermined range as long as the (total) gain of the optical amplifier can be maintained (and the noise properties of the amplifier are not deteriorated beyond a predetermined threshold value of a parameter that describes the noise properties, e.g. the noise figure). In this way, the transmission quality of the respective optical transmission link can be maintained.
[0078]
[0079] The management system 205 may be configured to carry out the method described in connection with the embodiments shown in
[0080] The compensation of a pump power caused by the shift of the operating point of a respective pump laser through an opposite shift of the operating point of a further pump laser may be carried out analogously as previously described in connection with
[0081] As mentioned above, the method of monitoring the state of aging of at least one pump laser and a respective compensation may be carried out in a more complex way. Especially, the one or more first pump lasers may be shifted in their operating points according to predetermined specifications. In order to compensate these shifts, one or more second pump lasers may be shifted in the corresponding opposite direction along the LI curve. At least for all of the first pump lasers the method of monitoring the stage of aging is carried out by determining the values of the shifted operating points and approximating the actual current LI curve by carrying out a regression analysis. Of course, also for the second pump lasers that are involved in compensating the shift of the first pump lasers, the method of monitoring the stage of aging may be carried out.
[0082] The specifications for the shift of the operating points of the at least one first pump laser are communicated, in case of a structure according to
[0083] In general, such a generalized control device and its functionality may be distributed and realized in two or more devices as already indicated above.
[0084]
[0085]
LIST OF REFERENCE SIGNS
[0086] 100 two-stage optical amplifier [0087] 101 first optical sensor device [0088] 102 second optical sensor device [0089] 106 variable optical attenuator [0090] 108 erbium-doped fiber [0091] 110 optical isolator [0092] 112 first tap coupler [0093] 113 second tap coupler [0094] 114 first wavelength selective coupler (WSC) [0095] 115 second wavelength selective coupler (WSC) [0096] 116 pump laser [0097] 118 optical transmission path [0098] 201 first stage of optical amplifier 100 [0099] 202 second stage of optical amplifier 100 [0100] 203 control device [0101] 204 one-stage optical amplifier [0102] 205 management system [0103] 210 bidirectional communication path [0104] 214 bidirectional communication path [0105] 220 bidirectional communication path [0106] 222 bidirectional communication path [0107] 300 target value of output power [0108] G.sub.a first curve describing power distribution along the axis of an erbium-doped fiber of an amplifier [0109] G.sub.b second curve describing power distribution along the axis of an erbium-doped fiber of an amplifier [0110] G.sub.a1 first section of curve G.sub.a [0111] G.sub.a2 second section of curve G.sub.a [0112] G.sub.b1 first section of curve G.sub.b [0113] G.sub.b2 second section of curve G.sub.b [0114] I.sub.al maximum value of the injection current [0115] I.sub.op,BOL value of injection current at an operating point on LI curve at BOL [0116] I.sub.op,ag value of injection current at an operating point on LI curve after aging [0117] I.sub.BOL,tgt value of injection current at BOL at target optical pump power [0118] P.sub.tgt specified target value of optical pump power [0119] P.sub.op,BOL value of optical pump power at an operating point on LI curve [0120] P.sub.0 optical power at input of an optical amplifier or the first amplifier stage, respectively [0121] P.sub.fi optical power at output of an optical amplifier or the second amplifier stage, respectively [0122] P.sub.a1, R.sub.a1 power levels at the output of a first amplifier stage [0123] P.sub.a2, P.sub.b2 power levels at the input of a second amplifier stage [0124] OP.sub.BOL operating point on LI curve at BOL [0125] OP.sub.ag operating point on LI curve after aging [0126] OP.sub.BOL,tgt operating point on LI curve at BOL at target optical pump power [0127] OP.sub.ag,tgt operating point on LI curve after aging at target optical pump power [0128] OP.sub.i operating point on LI curve (current aging status); 2i3 [0129] S.sub.1,opt optical transmission signal [0130] S.sub.ic interaction current control signal [0131] S.sub.pp pump power signal [0132] S.sub.wp signal generated by an optical sensor device