Highly efficient mid-infrared difference-frequency ... · 1 Highly efficient mid-infrared...

5
1 Highly efficient mid-infrared difference-frequency 2 generation using synchronously pulsed 3 fiber lasers 4 R. T. MURRAY ,* T. H. RUNCORN, E. J. R. KELLEHER, AND J. R. T AYLOR 5 Femtosecond Optics Group, Department of Physics, Imperial College London, Prince Consort Road, London SW7 2BW, UK 6 *Corresponding author: [email protected] 7 Received 9 February 2016; revised 4 April 2016; accepted 8 April 2016; posted 11 April 2016 (Doc. ID 259197); published 0 MONTH 0000 8 9 We report the development of a high average power, 10 picosecond-pulse, mid-infrared source based on difference- 11 frequency generation (DFG) of two synchronous master 12 oscillator power fiber amplifier systems. The generated idler 13 can be tuned over the range 3.283.45 μm delivering 14 greater than 3.4 W of average power, with a maximum 15 pump to total DFG power conversion efficiency of 78%. 16 The benefits of a synchronously pumped scheme, compared 17 to CW seeding of DFG sources, are discussed. © 2016 Optical Society of America 18 OCIS codes: (190.4970) Parametric oscillators and amplifiers; 19 (140.3070) Infrared and far-infrared lasers; (140.3510) Lasers, fiber. 20 http://dx.doi.org/10.1364/OL.99.099999 21 In recent years, mid-infrared (IR) sources operating in the 22 35 μm spectral region have become ubiquitous tools in both 23 industry and research, finding applications in areas including 24 spectroscopy, materials processing, and defense [1,2]. Depend- 25 ing on the laser parameters required, a choice of sources exists 26 that emit in this portion of the molecular fingerprint region. 27 These include quantum-cascade (QC) semiconductor lasers 28 [3], Cr/Fe-doped II-VI chalcogenide solid-state lasers [4,5], 29 and parametric frequency conversion sources [6]. Of the two 30 direct emission routes, QC lasers are available across a wide 31 spectral range (325 μm), but power scaling opportunities 32 are limited. In contrast, Cr:ZnSe/S lasers have been demon- 33 strated with output powers >10 W [4], but their gain bands 34 do not extend beyond 3.1 μm[5]. While Fe:ZnSe/S crystals 35 provide gain in the 45 μm window, they often require cryo- 36 genic cooling to laser efficiently and demand complex pumping 37 schemes [4]. Similarly, Cr:CdSe/S lasers offer the potential for 38 wide tuning at wavelengths >3 μm, but remain a relatively 39 underdeveloped technology [7,8]. Alternatively, parametric 40 wavelength conversion offers high average powers, supports 41 large pulse energies, and wide spectral tunability dependent 42 on the combination of pump source and nonlinear crystal [6,9]. 43 Parametric sources based on a χ 2 nonlinearity can be real- 44 ized using distinct architectures: optical parametric oscillators 45 (OPOs), optical parametric amplifiers (OPAs), and optical 46 parametric generators (OPGs). In particular, ytterbium (Yb) 47 fiber laser pumped OPOs are capable of producing multiwatt- 48 level average powers, from the CW to femtosecond regime, 49 often accompanied by a wide spectral tuning range [1012]. 50 However, OPOs have a number of drawbacks inherent in res- 51 onant cavity based systems, including: the need for optics with 52 specialist broadband transmission coatings, precise alignment, 53 and intracavity spectral tuning, while their repetition rate is fixed 54 by the cavity length. OPG, OPA, and difference-frequency gen- 55 eration (DFG), however, provide single-pass amplification, sim- 56 plifying the optical configuration, and removing the constraint of 57 a resonant cavity. Unfortunately, OPG can result in broad signal 58 and idler linewidths, while the required high pump energies of an 59 unseeded scheme can approach the damage threshold of the crys- 60 tals used, leading to long-term reliability issues or catastrophic 61 damage. While the distinction between OPA and DFG is often 62 unclear, here, we use the term DFG to describe a three-wave 63 process (ω pump ω signal ω idler ) involving a pump, signal, 64 and idler, where the strength of the signal relative to the pump 65 is significant (i.e., a high-power signal regime). 66 Recent demonstrations of high-average power mid-IR DFG 67 sources include: >3.5 W CW by mixing two high-power Yb 68 and Er fiber lasers [13]; >1W of average power by mixing a 69 high-pulse energy nanosecond Yb master oscillator power fiber 70 amplifier (MOPFA) and a 1.55 μm CW laser diode [14]; and 71 1.7 W of average power using a filtered ASE source at 1.541 μm 72 and a high-energy picosecond Yb-MOPFA [15]. In this Letter, 73 we utilize synchronized Yb and Er picosecond MOPFA sys- 74 tems. The advantage of our approach compared to a pulsed 75 pump and CW signal scheme is threefold: first, temporal tun- 76 ing can be realized by strobing the pump pulse through the 77 signal pulse; second, the pump pulse-energy/peak-power re- 78 quirements for efficient conversion are relaxed due to the in- 79 tensity of the signal; this is particularly important in PPLN 80 crystals that exhibit relatively low damage thresholds (typically 81 quoted in the range 0.11 GWcm 2 at 1.064 μm[14,15] for 82 similar peak/average powers and pulse durations to those used in 83 this work [manufacturer and crystal specific]); third, extremely 84 high conversion efficiencies can be achieved. We note that the 85 use of synchronized sources for single-pass DFG has been dem- 86 onstrated before, both in the femtosecond and picosecond tem- 87 poral regimes [1618]. However, here we fully exploit for the Letter Vol. 41, No. 10 / /Optics Letters 1 0146-9592/16/100001-01 Journal © 2016 Optical Society of America

Transcript of Highly efficient mid-infrared difference-frequency ... · 1 Highly efficient mid-infrared...

Page 1: Highly efficient mid-infrared difference-frequency ... · 1 Highly efficient mid-infrared difference-frequency 2 generation using synchronously pulsed 3 fiber lasers 4 R. T. MURRAY,*

1 Highly efficient mid-infrared difference-frequency2 generation using synchronously pulsed3 fiber lasers4 R. T. MURRAY,* T. H. RUNCORN, E. J. R. KELLEHER, AND J. R. TAYLOR

5 Femtosecond Optics Group, Department of Physics, Imperial College London, Prince Consort Road, London SW7 2BW, UK6 *Corresponding author: [email protected]

7 Received 9 February 2016; revised 4 April 2016; accepted 8 April 2016; posted 11 April 2016 (Doc. ID 259197); published 0 MONTH 0000

89 We report the development of a high average power,

10 picosecond-pulse, mid-infrared source based on difference-11 frequency generation (DFG) of two synchronous master12 oscillator power fiber amplifier systems. The generated idler13 can be tuned over the range 3.28–3.45 μm delivering14 greater than 3.4 W of average power, with a maximum15 pump to total DFG power conversion efficiency of 78%.16 The benefits of a synchronously pumped scheme, compared17 to CW seeding of DFG sources, are discussed. © 2016

Optical Society of America

18 OCIS codes: (190.4970) Parametric oscillators and amplifiers;

19 (140.3070) Infrared and far-infrared lasers; (140.3510) Lasers, fiber.

20http://dx.doi.org/10.1364/OL.99.099999

21 In recent years, mid-infrared (IR) sources operating in the22 3–5 μm spectral region have become ubiquitous tools in both23 industry and research, finding applications in areas including24 spectroscopy, materials processing, and defense [1,2]. Depend-25 ing on the laser parameters required, a choice of sources exists26 that emit in this portion of the “molecular fingerprint region.”27 These include quantum-cascade (QC) semiconductor lasers28 [3], Cr/Fe-doped II-VI chalcogenide solid-state lasers [4,5],29 and parametric frequency conversion sources [6]. Of the two30 direct emission routes, QC lasers are available across a wide31 spectral range (3–25 μm), but power scaling opportunities32 are limited. In contrast, Cr:ZnSe/S lasers have been demon-33 strated with output powers >10 W [4], but their gain bands34 do not extend beyond 3.1 μm [5]. While Fe:ZnSe/S crystals35 provide gain in the 4–5 μm window, they often require cryo-36 genic cooling to laser efficiently and demand complex pumping37 schemes [4]. Similarly, Cr:CdSe/S lasers offer the potential for38 wide tuning at wavelengths >3 μm, but remain a relatively39 underdeveloped technology [7,8]. Alternatively, parametric40 wavelength conversion offers high average powers, supports41 large pulse energies, and wide spectral tunability dependent42 on the combination of pump source and nonlinear crystal [6,9].43 Parametric sources based on a χ�2� nonlinearity can be real-44 ized using distinct architectures: optical parametric oscillators45 (OPOs), optical parametric amplifiers (OPAs), and optical46 parametric generators (OPGs). In particular, ytterbium (Yb)

47fiber laser pumped OPOs are capable of producing multiwatt-48level average powers, from the CW to femtosecond regime,49often accompanied by a wide spectral tuning range [10–12].50However, OPOs have a number of drawbacks inherent in res-51onant cavity based systems, including: the need for optics with52specialist broadband transmission coatings, precise alignment,53and intracavity spectral tuning, while their repetition rate is fixed54by the cavity length. OPG, OPA, and difference-frequency gen-55eration (DFG), however, provide single-pass amplification, sim-56plifying the optical configuration, and removing the constraint of57a resonant cavity. Unfortunately, OPG can result in broad signal58and idler linewidths, while the required high pump energies of an59unseeded scheme can approach the damage threshold of the crys-60tals used, leading to long-term reliability issues or catastrophic61damage. While the distinction between OPA and DFG is often62unclear, here, we use the term DFG to describe a three-wave63process (ωpump � ωsignal � ωidler) involving a pump, signal,64and idler, where the strength of the signal relative to the pump65is significant (i.e., a high-power signal regime).66Recent demonstrations of high-average power mid-IR DFG67sources include: >3.5 W CW by mixing two high-power Yb68and Er fiber lasers [13]; >1 W of average power by mixing a69high-pulse energy nanosecond Yb master oscillator power fiber70amplifier (MOPFA) and a 1.55 μm CW laser diode [14]; and711.7W of average power using a filtered ASE source at 1.541 μm72and a high-energy picosecond Yb-MOPFA [15]. In this Letter,73we utilize synchronized Yb and Er picosecond MOPFA sys-74tems. The advantage of our approach compared to a pulsed75pump and CW signal scheme is threefold: first, temporal tun-76ing can be realized by strobing the pump pulse through the77signal pulse; second, the pump pulse-energy/peak-power re-78quirements for efficient conversion are relaxed due to the in-79tensity of the signal; this is particularly important in PPLN80crystals that exhibit relatively low damage thresholds (typically81quoted in the range 0.1–1 GW∕cm2 at 1.064 μm [14,15] for82similar peak/average powers and pulse durations to those used in83this work [manufacturer and crystal specific]); third, extremely84high conversion efficiencies can be achieved. We note that the85use of synchronized sources for single-pass DFG has been dem-86onstrated before, both in the femtosecond and picosecond tem-87poral regimes [16–18]. However, here we fully exploit for the

Letter Vol. 41, No. 10 / /Optics Letters 1

0146-9592/16/100001-01 Journal © 2016 Optical Society of America

Page 2: Highly efficient mid-infrared difference-frequency ... · 1 Highly efficient mid-infrared difference-frequency 2 generation using synchronously pulsed 3 fiber lasers 4 R. T. MURRAY,*

88 first time the very high nonlinear conversion achievable using89 such a scheme, reporting record efficiencies.90 The experimental setup is shown in Fig. 1. The pump arm91 consists of an actively mode-locked external cavity laser diode92 (1.063 μm ECLD), with feedback provided by a polarization-93 maintaining fiber Bragg grating (PM-FBG), and driven by an94 electrical pulse generator (EPG). The DC-bias (DC-B) voltage95 allows for optimization of the pulse duration and extinction96 ratio. The 150 ps pulses [Fig. 2(b)] have a repetition rate of97 39.945 MHz, half the fundamental cavity frequency of the98 ECLD. The pulses are then amplified in two Yb-doped fiber99 amplifiers (YDFAs), with interstage amplified spontaneous

100 emission (ASE) suppression provided by a 1 nm full-width101 half-maximum (FWHM) tunable bandpass filter (TBP). Due102 to the use of isotropic gain fiber, polarization control compris-103 ing a quarter/half/quarter waveplate combination (WPS) is104 required to correct for polarization rotation in the amplifier105 stages. The power level of the Yb-MOPFA after the Faraday106 isolator (ISO) is ∼23 W, with the spectral and temporal char-107 acteristics of the pump after amplification shown in Fig. 2(a)108 and Fig. 2(b), respectively. A beam expander (B-EXP––L1,109 f � 50 mm; L2, f � 81 mm) then resizes the pump beam110 for optimal spatial overlap with the signal beam in the nonlinear111 crystal. Finally, a half-wave plate (HWP) and polarizing beam

112splitter (PBS) are used to control the pump power delivered to113the nonlinear crystal.114The signal arm consists of a tunable ECLD (1500–1151580 nm), pulsed by a Mach–Zehnder amplitude modulator116(MZAM) driven by a second EPG, producing 400 ps pulses117[Fig. 2(d)] at a repetition rate of 39.945 MHz. The DC-B volt-118age allows for optimization of the pulse duration and extinction119ratio. The two EPGs are synchronized using a common clock.120The signal is then amplified in two Er-doped fiber amplifiers121(EDFAs), with a 2% tap-coupler (TAP) to monitor the pulse122extinction ratio. The output of the second EDFA is collimated123with a lens (L3, f � 12.5 mm) chosen to match the spot sizes124of the pump and signal beams in the crystal. The Er-MOPFA125provides 2.1 W of average power at the output of L3. A quarter/126half-waveplate combination (WPS) is used to linearize the127output polarization from the non-PM EDFAs. The spectral128and temporal characteristics of the signal after amplification129are shown in Fig. 2(c) and Fig. 2(d), respectively.130The pump and signal are combined using a beam splitter131(BS, highly reflective at 1.55 μm and highly transmissive at1321.06 μm). The B-EXP and L3 allow the ratio of the beam diam-133eters of the pump to signal to be adjusted to 1.06/1.55, ensur-134ing equal focal spot sizes in the center of the crystal. Lens 4 (L4,135f � 150 mm) is then used to focus the spatially and tempo-136rally overlapped pump and signal beam into the MgO:PPLN137crystal. The pump beam is focused to a 1∕e2 beam diameter of138150 μm, measured using a scanning-slit beam profiler. The in-139tensity of the pump at the focal spot in the crystal, at the maxi-140mum available pump power, is estimated to be 28 MW∕cm2,141well below the 0.1–1 GW∕cm2 damage threshold range—one142of the benefits of a synchronously pumped DFG system.143The MgO:PPLN crystal is mounted in a copper oven,144capable of maintaining crystal temperatures in the range14520–250� 0.1°C. Both the input and output faces of the crystal146are antireflection (AR)-coated for pump, signal, and idler147wavelengths. The crystal is 40 mm long with an aperture of1481 × 10 mm, and contains five poling periods in the range14929.52–31.52 μm. For the results presented here, a track with150a period of 29.98 μm is selected. The corresponding phase-151matching curve for this track is shown in Fig. 3(d), calculated152using the Sellmeier equations and temperature-dependent153corrections given in Refs. [19,20].154The pump, signal, and generated idler are collimated using155lens 5 (L5, f � 100 mm, uncoated CaF2) before being156spatially dispersed using an uncoated CaF2 prism. Initially, a157liquid nitrogen-cooled InSb detector is used to record the idler158power and optimize the pump/signal overlap, both spatially and159temporally in the crystal. The EPGs provide electrical delay160control, enabling facile temporal overlap of the pump and sig-161nal pulses. An electrical rather than an optical delay also negates162problems associated with beam misalignment when changing163the optical path length of the pump relative to the signal.164Figure 3(b) shows the generated idler spectra, while tuning165the signal wavelength over the range 1.535–1.570 μm, mea-166sured using a scanning monochromator. The temperature of167the crystal is tuned over the range 130°C–210°C to maintain168phase-matching. The tuning range of the signal is limited by169the gain bandwidth of the Er-MOPFA. Greater than 3.4 W170of average idler power is maintained across the full tuning171range [Fig. 3(a)]. The experimental signal/idler wavelengths172(orange circles) are shown in Fig. 3(d), plotted as a function

F1:1 Fig. 1. Mid-IR DFG configuration. See body text for abbreviationF1:2 definitions.

F2:1 Fig. 2. (a) and (b): pump; and (c) and (d): signal; spectral and temporalF2:2 characteristics at MOPFA outputs (23.0 W and 2.1 W, respectively).

1

2 Vol. 41, No. 10 / /Optics Letters Letter

Page 3: Highly efficient mid-infrared difference-frequency ... · 1 Highly efficient mid-infrared difference-frequency 2 generation using synchronously pulsed 3 fiber lasers 4 R. T. MURRAY,*

173 of the phase-matched crystal temperature; excellent agreement174 between theory and measured values is observed. Figure 3(c)175 highlights the spectral shape of the idler. The double peak176 structure is attributed to the initial profile of the pump spec-177 trum [Fig. 2(a)]. The idler output power exhibits excellent178 power stability [Fig. 3(e)], with a root-mean-square power179 deviation of less than 0.4% over a 90 min period.180 A representative evolution of the generated power is shown181 in Fig. 4(a), for a pump/signal wavelength of 1.063/1.560 μm.182 The data represents the average powers generated in the DFG183 process, with the input signal power (1.87 W) subtracted from184 the generated signal. A maximum idler power of 3.66 W is185 obtained at a wavelength of 3.334 μm and a pump power186 of 17.1 W/2.5 kW (av./pk.). In all the power metrics presented,187 we consider the loss contribution from optics after the crystal;188 thus the data represents the power measured directly at the exit189 face of the crystal.190 The corresponding conversion efficiency of the process is191 shown in Fig. 4(b). We define pump conversion as the percent-192 age of the total input pump power converted to either the idler,193 the amplified signal, or the total generated DFG power. The

194conversion efficiencies reach a maximum of ∼26% for the idler,195∼52% for the signal, and ∼78% for the combined power196(amplified signal + idler). Beyond a pump power of 8 W, we197observe a roll-off in the conversion efficiency, attributed to198back-conversion of the signal and idler power to the pump199beam, evidence of which is presented in streak camera200traces of the pump pulses at increasing pump power levels201[Figs. 5(a)–5(e)]. In Figs. 5(a)–5(c), the center of the pump202pulse is initially depleted due to increasing parametric conver-203sion of the pump power to the signal and idler wavelengths,204resulting in an effective increase in the pump pulse duration205(compare to undepleted pump pulse duration of 150 ps206[Fig. 2(b)]). In Fig. 5(d), the point of maximum pump con-207version efficiency, the center of the pulse has hollowed out due208to extreme pump power conversion. Then in Figs. 5(e)–5(f )209the center of the pulse reappears as the pump light is back-210converted from the signal and idler wavelengths.211Pump back-conversion notwithstanding, we note that the212reported efficiencies are, to the best of our knowledge, signifi-213cantly higher than comparable state-of-the-art results using a214CW-seeded single-pass DFG/OPA scheme. We anticipate,215with improved focusing conditions and/or optimization of the216pump peak power, it should be possible to maintain the high217conversion efficiencies, even at high pump powers (e.g.,218>8 W), allowing significant power-scaling of the pump, and219corresponding power-scaling of the mid-IR idler radiation.220We also note that as we are operating beyond the point of221the maximum pump depletion [see Fig. 4(b)], we expect the222beam quality of the signal and idler to be degraded due to223the pump back-conversion. Again, through shifting the point224of maximum pump conversion to higher average powers, we225expect to avoid such signal and idler beam quality degradation

F3:1 Fig. 3. (a) Maximum idler average powers across tuning range.F3:2 (b) Idler wavelength tuning through signal wavelength scanning.F3:3 (c) Idler spectrum at 3.334 μm. (d) Calculated phase-matching curvesF3:4 (blue) for signal/idler wavelengths at a pump wavelength of 1.063 μmF3:5 and a grating pitch of 29.98 μm, experimental signal/idler wavelengthsF3:6 overlaid (orange circles). (e) Typical idler power stability.

F4:1Fig. 4. (a) Signal (blue), idler (orange), and total (signal plus idler—F4:2green) powers generated for a given pump average (bottom axis)/F4:3peak-power (top axis), with pulse energy shown on right-hand axis.F4:4(b) Signal, idler, and total pump power conversion. Connecting linesF4:5to guide the eye only, circles represent experimental data.

Letter Vol. 41, No. 10 / /Optics Letters 3

Page 4: Highly efficient mid-infrared difference-frequency ... · 1 Highly efficient mid-infrared difference-frequency 2 generation using synchronously pulsed 3 fiber lasers 4 R. T. MURRAY,*

226 issues in the future. Finally, we add that at no point did we227 observe any photorefractive damage or green-induced IR ab-228 sorption effects occurring due to either the high peak or average229 intensities in the crystal.230 Due to the nonpolarization preserving design of the syn-231 chronous MOPFAs, in order to extract the maximum mid-IR232 power while minimizing output power fluctuations, we operate233 the source in the heavily saturated signal power regime.234 Figure 6(a) shows the dependence of the generated idler and235 amplified signal powers on the input signal power at a fixed236 pump power of 17.1 W. Both idler and amplified signal sat-237 urate after 0.5 W of signal power. The corresponding gain of238 the amplified signal is shown in Fig. 6(b). Due to fluctuations239 of the input signal across the gain band of the Er-MOPFA,240 operating in the saturated regime also improves the output241 power stability when tuning the source, as confirmed by the242 idler power stability curve [Fig. 3(e)].

243In summary, we have presented a high average power244(>3.6 W at 3.334 μm), high conversion efficiency (maximum245pump-to-DFG power conversion 78%) picosecond source of246mid-IR radiation tunable from 3.28 to 3.45 μm. Using a syn-247chronous signal and pump pulse lowers the peak intensity248requirements of the pump laser, and thus avoids the need to249operate the source close to the damage threshold of PPLN to250achieve high efficiency. This approach prolongs crystal life, allows251greater average power-scaling potential of DFG-based pulsed-252pump sources, and supports record high conversion efficiencies.253We anticipate that the added freedom, e.g., repetition-rate select-254ability, and reduced complexity of nonresonant, single-pass255parametric sources will make them increasingly attractive systems256for mid-IR applications. Ongoing work is aimed at shifting257the point of maximum conversion to higher average power levels,258to extract the maximum possible power from single-pass DFG259systems while maintaining the excellent beam quality that fiber260pump sources can inherently provide.

261Funding. Engineering and Physical Sciences Research262Council (EPSRC) (EP/N009452/1).

263Acknowledgment. The authors acknowledge the support264of IPG Photonics for much of the equipment used in the265experiments presented herein.

266REFERENCES

2671. F. K. Tittel, D. Richter, and A. Fried, Solid-State Mid-Infrared268Laser Sources, I. T. Sorokina and K. L. Vodopyanov, eds. (Springer,2692003), pp. 458–529.2702. V. Z. Kolev, M. W. Duering, B. Luther-Davies, and A. V. Rode, Opt.271Express 14, 12302 (2006).2723. Y. Yao, A. J. Hoffman, and C. F. Gmachl, Nat. Photonics 6, 432 (2012).2734. S. B. Mirov, V. V. Fedorov, D. Martyshkin, I. S. Moskalev, M. Mirov,274and S. Vasilyev, IEEE J. Sel. Top. Quantum Electron. 21, 292 (2015).2755. E. Sorokin, S. Naumov, and I. T. Sorokina, IEEE J. Sel. Top. Quantum276Electron. 11, 690 (2005).2776. A. Godard, C. R. Phys. 8, 1100 (2007).2787. E. Sorokin, D. Klimentov, M. P. Frolov, Yu. V. Korostelin, V. I.279Kozlovsky, Yu. P. Podmar’kov, Ya. K. Skasyrsky, and I. T. Sorokina,280Appl. Phys. B: Lasers opt. 117, 1009 (2014).2818. V. I. Kozlovsky, V. A. Akimov, M. P. Frolov, Yu. V. Korostelin, A. I.282Landman, V. P. Martovitsky, V. V. Mislavskii, Yu. P. Podmar’kov,283Ya. K. Skasyrsky, and A. A. Voronov, Phys. Status Solidi B. 247,2841553 (2010).2859. V. Petrov, IEEE J. Sel. Top. Quantum Electron. 21, 193 (2015).28610. F. Adler, K. C. Cossel, M. J. Thorpe, I. Hartl, M. E. Fermann, and J. Ye,287Opt. Lett. 34, 1330 (2009).28811. L. Xu, H.-Y. Chan, S.-U. Alam, D. J. Richardson, and D. P. Shepherd,289Opt. Lett. 40, 3288 (2015).29012. M. Ebrahim-Zadeh and S. Chaitanya Kumar, IEEE J. Sel. Top.291Quantum Electron. 20, 624 (2014).29213. S. Guha, J. O. Barnes, and L. P. Gonzalez, Opt. Lett. 39, 5018 (2014).29314. P. Belden, D. Chen, and F. D. Teodoro, Opt. Lett. 40, 958 (2015).29415. L. Xu, H.-Y. Chan, S.-u. Alam, D. J. Richardson, and D. P. Shepherd,295Opt. Express 23, 12613 (2015).29616. C. Erny, K. Moutzouris, J. Biegert, D. Kühlke, F. Adler, A.297Leitenstorfer, and U. Keller, Opt. Lett. 32, 1138 (2007).29817. T. Steinle, A. Steinmann, R. Hegenbarth, and H. Giessen, Opt.299Express 22, 9567 (2014).30018. H. Xuan, Y. Zou, S. Wang, H. Han, Z. Wang, and Z. Wei, Appl. Phys.301B: Lasers Opt. 108, 571 (2012).30219. D. H. Jundt, Opt. Lett. 22, 1553 (1997).30320. O. Gayer, Z. Sacks, E. Galun, and A. Arie, Appl. Phys. B: Lasers Opt.30491, 343 (2008).

F5:1 Fig. 5. (a)–(f ) Temporal evolution of pump pulse with increasingF5:2 pump power after the crystal. Insets in each figure indicate the pulseF5:3 duration (FWHM) and average pump power level at the input crystalF5:4 face. All pulse intensities are normalized.

F6:1 Fig. 6. (a) Generated idler and amplified signal powers against inputF6:2 signal power; (b) signal gain against input signal power. In both figures,F6:3 the maximum available pump power of 17.1 W was used. ConnectingF6:4 lines to guide the eye only.

2

3

4

4 Vol. 41, No. 10 / /Optics Letters Letter

Page 5: Highly efficient mid-infrared difference-frequency ... · 1 Highly efficient mid-infrared difference-frequency 2 generation using synchronously pulsed 3 fiber lasers 4 R. T. MURRAY,*

Queries

1. AU: Please note that you use “WPS” for as an abbreviation for a different term in the next paragraph.

2. AU: The funding information for this article has been generated using the information you provided to OSA at the time of articlesubmission. Please check it carefully. If any information needs to be corrected or added, please provide the full name of the funding

305 organization/institution as provided in the FundRef Registry (http://www.crossref.org/fundref/fundref_registry.html).

3. AU: Please check changes to Ref. 1.

4. AU: In ref. 5, year has been changed to 2005. Please check and confirm.

FundingAU: The funding information for this article has been generated using the information you provided to OSA at the time of article submission. Please check it carefully. If any information needs to be corrected or added, please provide the full name of the funding organization/institution as provided in the FundRef Registry (http://www.crossref.org/fundref/fundref_registry.html).Engineering and Physical Sciences Research Council (EPSRC)10.13039/501100000266 (EP/N009452/1).AcknowledgmentThe authors acknowledge the support of IPG Photonics for much of the equipment used in the experiments presented herein.REFERENCES1TittelF. K.RichterD.FriedA., Solid-State Mid-Infrared Laser Sources, SorokinaI. T.VodopyanovK. L., eds. (Springer, 2003), pp. 458–529.AU: Please check changes to Ref. 1.2KolevV. Z.DueringM. W.Luther-DaviesB.RodeA. V., Opt. Express 14, 12302 (2006).OPEXFF1094-408710.1364/OE.14.0123023YaoY.HoffmanA. J.GmachlC. F., Nat. Photonics 6, 432 (2012).NPAHBY1749-488510.1038/nphoton.2012.1434MirovS. B.FedorovV. V.MartyshkinD.MoskalevI. S.MirovM.VasilyevS., IEEE J. Sel. Top. Quantum Electron. 21, 292 (2015).IJSQEN1077-260X10.1109/JSTQE.2014.23465125SorokinE.NaumovS.SorokinaI. T., IEEE J. Sel. Top. Quantum Electron. 11, 690 (2005).IJSQEN1077-260X10.1109/JSTQE.2003.850255AU: In ref. 5, year has been changed to 2005. Please check and confirm.6GodardA., C. R. Phys. 8, 1100 (2007).CRPOBN1631-070510.1016/j.crhy.2007.09.0107SorokinE.KlimentovD.FrolovM. P.KorostelinYu. V.KozlovskyV. I.Podmar’kovYu. P.SkasyrskyYa. K.SorokinaI. T., Appl. Phys. B: Lasers opt. 117, 1009 (2014).APBOEM0946-217110.1007/s00340-014-5921-z8KozlovskyV. I.AkimovV. A.FrolovM. P.KorostelinYu. V.LandmanA. I.MartovitskyV. P.MislavskiiV. V.Podmar’kovYu. P.SkasyrskyYa. K.VoronovA. A., Phys. Status Solidi B. 247, 1553 (2010).PSSBBD0370-197210.1002/pssb.v247:69PetrovV., IEEE J. Sel. Top. Quantum Electron. 21, 193 (2015).IJSQEN1077-260X10.1109/JSTQE.2014.237859510AdlerF.CosselK. C.ThorpeM. J.HartlI.FermannM. E.YeJ., Opt. Lett. 34, 1330 (2009).OPLEDP0146-959210.1364/OL.34.00133011XuL.ChanH.-Y.AlamS.-U.RichardsonD. J.ShepherdD. P., Opt. Lett. 40, 3288 (2015).OPLEDP0146-959210.1364/OL.40.00328812Ebrahim-ZadehM.Chaitanya KumarS., IEEE J. Sel. Top. Quantum Electron. 20, 624 (2014).IJSQEN1077-260X10.1109/JSTQE.2014.231959013GuhaS.BarnesJ. O.GonzalezL. P., Opt. Lett. 39, 5018 (2014).OPLEDP0146-959210.1364/OL.39.00501814BeldenP.ChenD.TeodoroF. D., Opt. Lett. 40, 958 (2015).OPLEDP0146-959210.1364/OL.40.00095815XuL.ChanH.-Y.AlamS.-u.RichardsonD. J.ShepherdD. P., Opt. Express 23, 12613 (2015).OPEXFF1094-408710.1364/OE.23.01261316ErnyC.MoutzourisK.BiegertJ.KühlkeD.AdlerF.LeitenstorferA.KellerU., Opt. Lett. 32, 1138 (2007).OPLEDP0146-959210.1364/OL.32.00113817SteinleT.SteinmannA.HegenbarthR.GiessenH., Opt. Express 22, 9567 (2014).OPEXFF1094-408710.1364/OE.22.00956718XuanH.ZouY.WangS.HanH.WangZ.WeiZ., Appl. Phys. B: Lasers Opt. 108, 571 (2012).APBOEM0946-217110.1007/s00340-012-5045-219JundtD. H., Opt. Lett. 22, 1553 (1997).OPLEDP0146-959210.1364/OL.22.00155320GayerO.SacksZ.GalunE.ArieA., Appl. Phys. B: Lasers Opt. 91, 343 (2008).APBOEM0946-217110.1007/s00340-008-2998-2
FundingAU: The funding information for this article has been generated using the information you provided to OSA at the time of article submission. Please check it carefully. If any information needs to be corrected or added, please provide the full name of the funding organization/institution as provided in the FundRef Registry (http://www.crossref.org/fundref/fundref_registry.html).Engineering and Physical Sciences Research Council (EPSRC)10.13039/501100000266 (EP/N009452/1).AcknowledgmentThe authors acknowledge the support of IPG Photonics for much of the equipment used in the experiments presented herein.REFERENCES1TittelF. K.RichterD.FriedA., Solid-State Mid-Infrared Laser Sources, SorokinaI. T.VodopyanovK. L., eds. (Springer, 2003), pp. 458–529.AU: Please check changes to Ref. 1.2KolevV. Z.DueringM. W.Luther-DaviesB.RodeA. V., Opt. Express 14, 12302 (2006).OPEXFF1094-408710.1364/OE.14.0123023YaoY.HoffmanA. J.GmachlC. F., Nat. Photonics 6, 432 (2012).NPAHBY1749-488510.1038/nphoton.2012.1434MirovS. B.FedorovV. V.MartyshkinD.MoskalevI. S.MirovM.VasilyevS., IEEE J. Sel. Top. Quantum Electron. 21, 292 (2015).IJSQEN1077-260X10.1109/JSTQE.2014.23465125SorokinE.NaumovS.SorokinaI. T., IEEE J. Sel. Top. Quantum Electron. 11, 690 (2005).IJSQEN1077-260X10.1109/JSTQE.2003.850255AU: In ref. 5, year has been changed to 2005. Please check and confirm.6GodardA., C. R. Phys. 8, 1100 (2007).CRPOBN1631-070510.1016/j.crhy.2007.09.0107SorokinE.KlimentovD.FrolovM. P.KorostelinYu. V.KozlovskyV. I.Podmar’kovYu. P.SkasyrskyYa. K.SorokinaI. T., Appl. Phys. B: Lasers opt. 117, 1009 (2014).APBOEM0946-217110.1007/s00340-014-5921-z8KozlovskyV. I.AkimovV. A.FrolovM. P.KorostelinYu. V.LandmanA. I.MartovitskyV. P.MislavskiiV. V.Podmar’kovYu. P.SkasyrskyYa. K.VoronovA. A., Phys. Status Solidi B. 247, 1553 (2010).PSSBBD0370-197210.1002/pssb.v247:69PetrovV., IEEE J. Sel. Top. Quantum Electron. 21, 193 (2015).IJSQEN1077-260X10.1109/JSTQE.2014.237859510AdlerF.CosselK. C.ThorpeM. J.HartlI.FermannM. E.YeJ., Opt. Lett. 34, 1330 (2009).OPLEDP0146-959210.1364/OL.34.00133011XuL.ChanH.-Y.AlamS.-U.RichardsonD. J.ShepherdD. P., Opt. Lett. 40, 3288 (2015).OPLEDP0146-959210.1364/OL.40.00328812Ebrahim-ZadehM.Chaitanya KumarS., IEEE J. Sel. Top. Quantum Electron. 20, 624 (2014).IJSQEN1077-260X10.1109/JSTQE.2014.231959013GuhaS.BarnesJ. O.GonzalezL. P., Opt. Lett. 39, 5018 (2014).OPLEDP0146-959210.1364/OL.39.00501814BeldenP.ChenD.TeodoroF. D., Opt. Lett. 40, 958 (2015).OPLEDP0146-959210.1364/OL.40.00095815XuL.ChanH.-Y.AlamS.-u.RichardsonD. J.ShepherdD. P., Opt. Express 23, 12613 (2015).OPEXFF1094-408710.1364/OE.23.01261316ErnyC.MoutzourisK.BiegertJ.KühlkeD.AdlerF.LeitenstorferA.KellerU., Opt. Lett. 32, 1138 (2007).OPLEDP0146-959210.1364/OL.32.00113817SteinleT.SteinmannA.HegenbarthR.GiessenH., Opt. Express 22, 9567 (2014).OPEXFF1094-408710.1364/OE.22.00956718XuanH.ZouY.WangS.HanH.WangZ.WeiZ., Appl. Phys. B: Lasers Opt. 108, 571 (2012).APBOEM0946-217110.1007/s00340-012-5045-219JundtD. H., Opt. Lett. 22, 1553 (1997).OPLEDP0146-959210.1364/OL.22.00155320GayerO.SacksZ.GalunE.ArieA., Appl. Phys. B: Lasers Opt. 91, 343 (2008).APBOEM0946-217110.1007/s00340-008-2998-2
FundingAU: The funding information for this article has been generated using the information you provided to OSA at the time of article submission. Please check it carefully. If any information needs to be corrected or added, please provide the full name of the funding organization/institution as provided in the FundRef Registry (http://www.crossref.org/fundref/fundref_registry.html).Engineering and Physical Sciences Research Council (EPSRC)10.13039/501100000266 (EP/N009452/1).AcknowledgmentThe authors acknowledge the support of IPG Photonics for much of the equipment used in the experiments presented herein.REFERENCES1TittelF. K.RichterD.FriedA., Solid-State Mid-Infrared Laser Sources, SorokinaI. T.VodopyanovK. L., eds. (Springer, 2003), pp. 458–529.AU: Please check changes to Ref. 1.2KolevV. Z.DueringM. W.Luther-DaviesB.RodeA. V., Opt. Express 14, 12302 (2006).OPEXFF1094-408710.1364/OE.14.0123023YaoY.HoffmanA. J.GmachlC. F., Nat. Photonics 6, 432 (2012).NPAHBY1749-488510.1038/nphoton.2012.1434MirovS. B.FedorovV. V.MartyshkinD.MoskalevI. S.MirovM.VasilyevS., IEEE J. Sel. Top. Quantum Electron. 21, 292 (2015).IJSQEN1077-260X10.1109/JSTQE.2014.23465125SorokinE.NaumovS.SorokinaI. T., IEEE J. Sel. Top. Quantum Electron. 11, 690 (2005).IJSQEN1077-260X10.1109/JSTQE.2003.850255AU: In ref. 5, year has been changed to 2005. Please check and confirm.6GodardA., C. R. Phys. 8, 1100 (2007).CRPOBN1631-070510.1016/j.crhy.2007.09.0107SorokinE.KlimentovD.FrolovM. P.KorostelinYu. V.KozlovskyV. I.Podmar’kovYu. P.SkasyrskyYa. K.SorokinaI. T., Appl. Phys. B: Lasers opt. 117, 1009 (2014).APBOEM0946-217110.1007/s00340-014-5921-z8KozlovskyV. I.AkimovV. A.FrolovM. P.KorostelinYu. V.LandmanA. I.MartovitskyV. P.MislavskiiV. V.Podmar’kovYu. P.SkasyrskyYa. K.VoronovA. A., Phys. Status Solidi B. 247, 1553 (2010).PSSBBD0370-197210.1002/pssb.v247:69PetrovV., IEEE J. Sel. Top. Quantum Electron. 21, 193 (2015).IJSQEN1077-260X10.1109/JSTQE.2014.237859510AdlerF.CosselK. C.ThorpeM. J.HartlI.FermannM. E.YeJ., Opt. Lett. 34, 1330 (2009).OPLEDP0146-959210.1364/OL.34.00133011XuL.ChanH.-Y.AlamS.-U.RichardsonD. J.ShepherdD. P., Opt. Lett. 40, 3288 (2015).OPLEDP0146-959210.1364/OL.40.00328812Ebrahim-ZadehM.Chaitanya KumarS., IEEE J. Sel. Top. Quantum Electron. 20, 624 (2014).IJSQEN1077-260X10.1109/JSTQE.2014.231959013GuhaS.BarnesJ. O.GonzalezL. P., Opt. Lett. 39, 5018 (2014).OPLEDP0146-959210.1364/OL.39.00501814BeldenP.ChenD.TeodoroF. D., Opt. Lett. 40, 958 (2015).OPLEDP0146-959210.1364/OL.40.00095815XuL.ChanH.-Y.AlamS.-u.RichardsonD. J.ShepherdD. P., Opt. Express 23, 12613 (2015).OPEXFF1094-408710.1364/OE.23.01261316ErnyC.MoutzourisK.BiegertJ.KühlkeD.AdlerF.LeitenstorferA.KellerU., Opt. Lett. 32, 1138 (2007).OPLEDP0146-959210.1364/OL.32.00113817SteinleT.SteinmannA.HegenbarthR.GiessenH., Opt. Express 22, 9567 (2014).OPEXFF1094-408710.1364/OE.22.00956718XuanH.ZouY.WangS.HanH.WangZ.WeiZ., Appl. Phys. B: Lasers Opt. 108, 571 (2012).APBOEM0946-217110.1007/s00340-012-5045-219JundtD. H., Opt. Lett. 22, 1553 (1997).OPLEDP0146-959210.1364/OL.22.00155320GayerO.SacksZ.GalunE.ArieA., Appl. Phys. B: Lasers Opt. 91, 343 (2008).APBOEM0946-217110.1007/s00340-008-2998-2
FundingAU: The funding information for this article has been generated using the information you provided to OSA at the time of article submission. Please check it carefully. If any information needs to be corrected or added, please provide the full name of the funding organization/institution as provided in the FundRef Registry (http://www.crossref.org/fundref/fundref_registry.html).Engineering and Physical Sciences Research Council (EPSRC)10.13039/501100000266 (EP/N009452/1).AcknowledgmentThe authors acknowledge the support of IPG Photonics for much of the equipment used in the experiments presented herein.REFERENCES1TittelF. K.RichterD.FriedA., Solid-State Mid-Infrared Laser Sources, SorokinaI. T.VodopyanovK. L., eds. (Springer, 2003), pp. 458–529.AU: Please check changes to Ref. 1.2KolevV. Z.DueringM. W.Luther-DaviesB.RodeA. V., Opt. Express 14, 12302 (2006).OPEXFF1094-408710.1364/OE.14.0123023YaoY.HoffmanA. J.GmachlC. F., Nat. Photonics 6, 432 (2012).NPAHBY1749-488510.1038/nphoton.2012.1434MirovS. B.FedorovV. V.MartyshkinD.MoskalevI. S.MirovM.VasilyevS., IEEE J. Sel. Top. Quantum Electron. 21, 292 (2015).IJSQEN1077-260X10.1109/JSTQE.2014.23465125SorokinE.NaumovS.SorokinaI. T., IEEE J. Sel. Top. Quantum Electron. 11, 690 (2005).IJSQEN1077-260X10.1109/JSTQE.2003.850255AU: In ref. 5, year has been changed to 2005. Please check and confirm.6GodardA., C. R. Phys. 8, 1100 (2007).CRPOBN1631-070510.1016/j.crhy.2007.09.0107SorokinE.KlimentovD.FrolovM. P.KorostelinYu. V.KozlovskyV. I.Podmar’kovYu. P.SkasyrskyYa. K.SorokinaI. T., Appl. Phys. B: Lasers opt. 117, 1009 (2014).APBOEM0946-217110.1007/s00340-014-5921-z8KozlovskyV. I.AkimovV. A.FrolovM. P.KorostelinYu. V.LandmanA. I.MartovitskyV. P.MislavskiiV. V.Podmar’kovYu. P.SkasyrskyYa. K.VoronovA. A., Phys. Status Solidi B. 247, 1553 (2010).PSSBBD0370-197210.1002/pssb.v247:69PetrovV., IEEE J. Sel. Top. Quantum Electron. 21, 193 (2015).IJSQEN1077-260X10.1109/JSTQE.2014.237859510AdlerF.CosselK. C.ThorpeM. J.HartlI.FermannM. E.YeJ., Opt. Lett. 34, 1330 (2009).OPLEDP0146-959210.1364/OL.34.00133011XuL.ChanH.-Y.AlamS.-U.RichardsonD. J.ShepherdD. P., Opt. Lett. 40, 3288 (2015).OPLEDP0146-959210.1364/OL.40.00328812Ebrahim-ZadehM.Chaitanya KumarS., IEEE J. Sel. Top. Quantum Electron. 20, 624 (2014).IJSQEN1077-260X10.1109/JSTQE.2014.231959013GuhaS.BarnesJ. O.GonzalezL. P., Opt. Lett. 39, 5018 (2014).OPLEDP0146-959210.1364/OL.39.00501814BeldenP.ChenD.TeodoroF. D., Opt. Lett. 40, 958 (2015).OPLEDP0146-959210.1364/OL.40.00095815XuL.ChanH.-Y.AlamS.-u.RichardsonD. J.ShepherdD. P., Opt. Express 23, 12613 (2015).OPEXFF1094-408710.1364/OE.23.01261316ErnyC.MoutzourisK.BiegertJ.KühlkeD.AdlerF.LeitenstorferA.KellerU., Opt. Lett. 32, 1138 (2007).OPLEDP0146-959210.1364/OL.32.00113817SteinleT.SteinmannA.HegenbarthR.GiessenH., Opt. Express 22, 9567 (2014).OPEXFF1094-408710.1364/OE.22.00956718XuanH.ZouY.WangS.HanH.WangZ.WeiZ., Appl. Phys. B: Lasers Opt. 108, 571 (2012).APBOEM0946-217110.1007/s00340-012-5045-219JundtD. H., Opt. Lett. 22, 1553 (1997).OPLEDP0146-959210.1364/OL.22.00155320GayerO.SacksZ.GalunE.ArieA., Appl. Phys. B: Lasers Opt. 91, 343 (2008).APBOEM0946-217110.1007/s00340-008-2998-2