A protocol for Brillouin optical time-domain analyzers based on gain spectrum engineering is presented. Enhancements in the sensing performance, including sensing range and measurand resolution are achieved and the excess Brillouin intensity noise is studied. The protocol introduces a new way to enhance distributed Brillouin sensing performance.
Demonstrated is a unique method for sensing performance enhancement in Brillouin optical time-domain analyzers (BOTDA). A Brillouin gain spectrum (BGS) is superimposed with two symmetric Brillouin loss spectra (BLS). This leads to a complex engineered spectrum shape that is more resistant to the sensing system noise. Instead of only one pump and probe interaction as in the conventional BOTDA setup, three optical probe waves are exploited, with one probe located in the BGS and the other two symmetrically in the BLS. Due to the resistance and insensitivity of the engineered spectrum shape to the noise, the sensing performance is enhanced by 60% and the measurand resolution is doubled.
Distributed fiber sensing (DFS) is a unique mechanism that employs a whole fiber as a sensing medium. It has attracted a lot of interest due to the low fiber loss; small size; and the ability to be easily embedded in various structures, such as dams, bridges, and buildings, to perform environment surveillance as an artificial nerve system. In comparison to applying numerous traditional point sensors, such as fiber Bragg gratings (FBG), it provides a more efficient and cost-effective solution in a wide range of large-scale sensing tasks, such as infrastructure and structural health monitoring1.
Current distributed sensors exploit different scattering mechanisms inside the fiber to measure temperature and strain distribution. Among them, DFS based on Brillouin scattering is the most attractive due to the striking advantages of the stimulated Brillouin scattering (SBS), such as high signal-to-noise ratio (SNR), low threshold, and the sensitivity to both temperature2 and strain3. SBS can be classically described as an interaction between the incident optical continuous waves (CW), i.e., the pump, and the counter-propagating CW probe wave via an acoustic wave. According to the conservation of energy and momentum, the probe wave is frequency downshifted to the pump. This shift is called Brillouin frequency shift (BFS). Considering the finite lifetime of a 10 ns acoustic wave, there is a finite spectral distribution of the refracted wave, also called Brillouin gain spectrum (BGS), in which the BFS is the frequency difference between the pump wave and the peak center frequency. The interaction between the waves leads to a frequency down-shifted gain region and a frequency up-shifted loss region where the probe wave gets amplified and attenuated, respectively. For a standard single mode fiber (SSMF) in C-Band, the BFS is approximately 11 GHz and the BGS has a Lorentzian shape with an ultra-narrow full-width at half maximum (FWHM) of 10-30 MHz, which can be further reduced to 3.4 MHz with specific techniques4,5,6,7. Based on these characteristics, SBS can also be applied in microwave photonics filters8,9,10, optical filters11, slow and fast light12,13,14, and high resolution optical spectroscopy7,15.
One of the most promising SBS applications is distributed Brillouin sensing. These sensors exploit the BFS dependence on temperature and strain. The first to be demonstrated was the Brillouin optical time-domain analyzer (BOTDA)16, which is the most consolidated time-domain distributed Brillouin sensing technique. It differs from the conventional CW-SBS interaction in that it exploits the SBS interaction between a pulsed pump wave and a probe CW so that the environmental information is locally interrogated on every fiber section. The pump or probe frequency is usually fixed while the probe or the pump frequency is scanned in the vicinity of the BFS. The probe power is recorded for BGS reconstruction and the BFS is ideally the peak frequency of the local BGS at each fiber section. However, due to the inevitable system noise, the BGS peak is usually ambiguous and a fitting algorithm has to be applied17, which leads to a certain estimation error in frequency18 and influences the measurand resolution.
Statistically, the BFS estimation error is inversely proportional to the system signal-to-noise ratio (SNR). The most straightforward way to enhance the SNR is to increase the pump and probe power. However, these are limited by modulation instability (MI)19 and non-local effects (NLE)20,21 to ~20 dBm and -14 dBm, respectively. Numerous techniques, such as coding22 and Raman based inline-amplification23 have been proposed to break these limits. Recently, it has been reported that this frequency error can be minimized by choosing a proper fitting algorithm24. Relatedly, measurements exploiting the Brillouin phase and a linear fitting algorithm are also reported to have a reduced frequency error25, which indicates the potential of a well-engineered BGS to sensing performance enhancement. Another option to enhance SNR is noise reduction. However, according to the traditional point of view, the sensing system noise comes mainly from the detector (i.e., common-mode noise, including dark noise, shot noise, etc.)26,27 and improvement is less likely.
The basic idea of this paper is to engineer the BGS by the superposition of a conventional BGS with two symmetric Brillouin loss spectra (BLS) (see Figure 1). In comparison to a conventional BGS spectrum, which follows a Lorentzian shape, the engineered spectrum is sharper and more robust with the same level of system noise. Thus, the noise has less influence on the determination of the peak frequency. This can be verified by collecting and fitting the BGS measurement data a statistically significant number of times. Because of this better resistance to the noise, sensing performance enhancements are achieved, including the sensing range by 60% and doubled measurand resolution, i.e., a 50% reduced frequency error. Due to the involvement of the measurement with Brillouin loss interaction in part of the engineered BGS, a direct comparison of the trace noise with and without Brillouin interaction is made. Owing to the circumvention of the excess Brillouin noise, the trace with the engineered BGS is much clearer.
Figure 1: Schematic of an engineered BGS by the superposition of one Brillouin gain and two symmetric Brillouin loss spectra. Please click here to view a larger version of this figure.
1. Selecting optimized parameters for the spectrum engineering via simulation
Figure 2: Simulated BGS. (A) Demonstration of the fitting of a typical Lorentzian (red) and engineered (blue) BGS in the simulation. (B) The Lorentzian BGS peak from (A). Δfci represents the BFS estimation error for the conventional BGS in the ith measurement. Please click here to view a larger version of this figure.
2. Prepare and test the conventional BOTDA setup (highlighted block in Figure 4B)
3. Measurement using the conventional BOTDA setup and data processing
4. Preparing the rest of the setup
NOTE: In this case, m = 1 and d = 1.24 were used, per simulation results (see section 1 and Figure 3).
5. Measurement using the complete proposed BOTDA setup and data processing
Figure 3 shows the simulation results. Points with η < 1 in Figure 3A indicate a smaller frequency error (higher measurand resolution) with the engineered BGS. The lower the value was, the bigger the advantage. The minimum ratio was at m = 1, indicating that a multiprobe instead of multipump scheme can be carried out (see Discussion). Figure 3B shows the distribution of the frequency error ratio η along the fiber with the selected parameters for m and d. The dash line indicates the sensing range extension under the same frequency error tolerance (measurand resolution requirement). The maximum sensing range extension of 60% is shown. The experiment was conducted with the setup scheme illustrated in Figure 4B. Figure 6A shows the typical conventional and proposed BGS with their corresponding fittings. The time domain traces of the selected points on the spectrum are depicted in Figure 6B. The BFS in both methods were determined from the peak frequencies of the fittings. The BFS distribution along the fiber examined by both methods is plotted in Figure 5A. After 48 measurements, the standard deviations of the 48 determined BFS at each fiber section were calculated and plotted in Figure 5B. Due to the exponential decreasing SNR, the frequency errors also follow an exponential increase.
Figure 3: Simulation results. (A) The frequency error ratio as a function of m and d in the simulation after 500 calculations. The minimum ratio of 47% was achieved with m = 1 and d = 1.24 (highlighted point). (B) The distribution of the frequency error ratio along the fiber with selected m and d values. The dashed lines indicate the sensing range extension under the same frequency error tolerance. Please click here to view a larger version of this figure.
Figure 4: Experimental setup scheme. (A) The experimental multiprobe scheme and (B) the setup in detail. The highlighted part of the setup denotes a conventional BOTDA system. LD: laser diode, OC: optical coupler, Pol.S.: polarization scrambler, PG: pulse generator, SOA: semiconductor optical amplifier, EDFA: Erbium-doped fiber amplifier, Cir: circulator, RFG: radio frequency generator, MZM: Mach-Zehnder modulator, FBG: fiber Bragg grating, ISO: isolator, OS: optical switch, VOA: variable optical attenuator, PD: photodiode, FUT: fiber under test. Please click here to view a larger version of this figure.
Figure 5: Experimental results. (A) BFS distribution along the fiber with the conventional (black) and engineered (red) BGS28. The estimated BFS with the engineered BGS showed the same but clearer distribution along the fiber compared to the conventional BGS, which indicated the better functionality of the proposed sensor. (B) The frequency error distribution along the fiber with conventional (black) and engineered (red) BGS and their corresponding exponential fittings (highlighted)28. The standard deviation verified that the frequency error was reduced by a factor of two. Thus, under the same frequency error tolerance, the sensing range could be drastically extended. Please click here to view a larger version of this figure.
Figure 6: Experimental results. (A) The conventional (black) and engineered (red) BGS with their corresponding fittings28. (B) The time domain traces at the maximum gain of the conventional (black) and engineered BGS (blue), and at the maximum loss of the engineered BGS (orange), corresponding to the points A, B, and C in the frequency domain labelled in (A), respectively. The different noise amplitude between the traces indicated that the sensing system suffered not only from the common-mode noise but was also significantly influenced by an active noise source from the SBS interaction. This Brillouin intensity noise level was highly pump power dependent (comparison between trace A and B) and can be avoided in Brillouin loss interactions (trace C). Please click here to view a larger version of this figure.
The most critical step during the experiment is the equalization of the three probe powers so that m = 1 and symmetry between the two Brillouin loss spectra is achieved. Besides the separate power check using the power meter at Cir port 2, as presented in steps 4.9 and 4.10, the power equalization can be more precisely checked in the digitizer. By setting the RF 1 frequency to ~11 GHz (the fiber BFS) and switching off EDFA 3, the conventional trace with the peak gain can be recorded in the digitizer (trace I). Then the RF 2 and RF 3 frequency are set to BFS – d∙ΔνB0 and BFS + d∙ΔνB0, respectively. By switching EDFA 2 off but EDFA 3 on, the trace with the maximum loss in the lower (trace 2) and upper frequency (trace 3) are recorded by closing OS 1 and OS 2, respectively. When all three traces have the same amplitude as the DC offset (SBS gain is equal to the loss), the three probe powers are well equalized. Fine tuning the current value of EDFA 2, EDFA 3, and the attenuation of VOA can adjust the amplitude of the three traces individually.
The implementation of the RF filter before the PD not only reduces the common-mode noise level35,36, but also avoids four wave mixing (FWM) and interference between the loss probe waves. Therefore, the optimal filter bandwidth is not only pump pulse width dependent35, but also dependent on the parameter d. A suitable RF filter should effectively block the beating frequency components between the loss probe waves, which would be in the range of several hundred MHz. This can be checked by the RF spectrum in an electrical spectrum analyzer after the PD, when both loss probe waves are launched into the fiber.
The implementation of the multiprobe scheme restricts the constant m auf m = 1. However, this is not a disadvantage, because according to the simulation results, the best performance will be achieved with m = 1. Also, the multiprobe scheme not only simplifies the experimental setup, but also circumvents FWM caused by the copropagation of multipulses.
The significance of the protocol is the enhancement of the SNR in an unprecedented, novel way. The well-engineered spectrum sharpens the peak and reduces the ambiguity against the system noise. Though this paper only demonstrates an instance where 100 ns pulses (10 m spatial resolution) are applied, this method is still valid when the pulse width is shortened and the FWHM of the generated conventional BGS is broadened due to the finite phonon lifetime. The only difference is that the optimal m and d values may vary. Theoretically, a BGS in a delta-function profile will remove all the ambiguity. However, it is hard to achieve this limit due to the finite lifetime of the acoustic wave. This work will inspire new investigations on further optimization of the gain spectrum with a higher contrast. Sensors using the proposed technique will be very valuable to sensing tasks requiring long sensing ranges or high measurement accuracy.
The authors have nothing to disclose.
Cheng Feng wishes to acknowledge the financial support from German Research Foundation (SCHN 716/13-1, 716/15-2, 716/18-1, 716/26-1) and Niedersächsisches Vorab (NL-4 Project "QUANOMET").
Current controller for laser diode | ILX Lightwave | LDX3220 | |
Digitizer | Acqiris SA | U5309A-1039 | |
Erbium doped fiber amplifier 1 | Photop | PTEDFA-A-PA-C-SCH-15 | |
Erbium doped fiber amplifier 2 | LiComm | OFA-TCH | |
Erbium doped fiber amplifier 3 | Calmar Optcom | AMP-ST30 | |
Erbium doped fiber amplifier 4 | Photop | PTEDFA-A-PA-C-SCH-15 | |
Fiber Bragg grating 1 | Advanced Optics Solutions | T-FBG | |
Fiber Bragg grating 2 | Advanced Optics Solutions | T-FBG | |
Fiber under test | ofs | ||
Isolator | General Photonics | S-15-NTSS | |
Laser diode | 3SP Group | A1905 LMI | |
Mach-Zehnder modulator 1 | Avanex | IM10 | |
Mach-Zehnder modulator 2 | Avanex | IM10 | |
Mach-Zehnder modulator 3 | Avanex | IM10 | |
Nanosecond driving board for semiconductor optical amplifier | Highland Technology | T160-9 (28A160-9C) | |
Optical coupler 10:90 | Newport | Benchtop coupler/WDM | |
Optical coupler 50:50 | Newport | Benchtop coupler/WDM | |
Optical spectrum analyzer | Hewlett Packard | 86145A | |
Optical switch 1 | JDSU | SN12-1075NC | |
Photodiode | Thorlabs | D400FC | |
Polarization scrambler | General Photonics | PSY-101 | |
Pulase generator | Hewlett Packard | 8082A | |
Radio function generator 1 | Anritsu | MG3692C | |
Radio function generator 2 | Agilent Technology | E8257D | |
Radio function generator 3 | HTM | T2100 | |
Semiconductor optical amplifier | Thorlabs | SOA1013SXS | |
Temperature controller for laser diode | ILX Lightwave | LDT5948 | |
Temperature controller for semiconductor optical amplifier | Tektronix | TED200 | |
Variable optical attenuator | JDSU | mVOA-A1 | With optical switch function |
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