Picosecond fiber laser for thin film micro-processing Author: Jaka Petelin Mentor: doc. dr. Rok Petkovšek Co-Mentor: dr. Boštjan Podobnik March 2011 Introduction Nonlinear Effects Introduction Contents: Motivation Fiber amplifier Nonlinear effects Self-phase-modulation Stimulated Raman scattering Stimulated Brillouin scattering Burst Amplification Summary Burst Amplification Summary Introduction Nonlinear Effects Burst Amplification Motivation Material micro-processing applications currently employ nanosecond laser sources Shorter pulses: better resolution (less heat diffusion and thus smaller heat-affected-zone) Summary Introduction Nonlinear Effects Burst Amplification Summary Motivation However: Lower energy of pulses OR Very high peak power at same pulse energy (nonlinear effects – especially detrimental in fiber lasers and fiber amplifiers) For thin film micro-processing (photovoltaics): P 100 kW E 10 J For a 10 ps pulse the peak power would be over 1 MW (nonlinear effects and fiber damage) Possible solution: laser bursts Introduction Nonlinear Effects Burst Amplification Fiber amplifier Rare-earth-doped optical fiber (eg. Er3+, Yb3+,Nd3+) High efficiency, compactness, robustness High beam quality Double-clad fibers Summary Introduction Nonlinear Effects Burst Amplification Fiber amplifier Tight confinement of light (core diameter ~10 μm) Long interaction length (> 1 m) Very high single-pass gain Nonlinear phenomena Photonic crystal fibers (PCF) with effective mode area up to 1000 m 2 Summary Introduction Nonlinear Effects Burst Amplification Summary Nonlinear Effects Maxwell equations: 1 E 2 E 2 c t 2 PP P L 2 P 2 0 t 2 NL The lowest-order nonlinear effects in silica fibers originate from the third-order susceptibility: Pi NL 0 ijk l E j E k E l (3) Intensity-dependent refractive index (self-phase-modulation), Raman scattering, Brillouin scattering Introduction Nonlinear Effects Burst Amplification Self-Phase Modulation (SPM) Intensity dependance of refractive index 3 1111 (3) n NL n n2 j , n2 4 c0 n 0 2 Leads to spectral broadening of pulses d n NL dt d j n2 d j dt 0, for the leading edge of the pulse dt d j 0, for the trailing edge of the pul se dt t 0 2 L d n N L in our cas e: dt m ax 0 0 t ~ 10 4 Summary Introduction Nonlinear Effects Burst Amplification Summary Stimulated Raman Scattering (SRS) QM: Signal photon generates the frequency-shifted Stokes wave and an optical phonon Frequency shift is determined by the vibrational modes of the medium (for silica fibers around 13.2 THz) For continuous-wave (CW) signal: d IR dz d IS gR gR IS IR dz S R 10 13 m /W (at 1 m ) gR IS IR Threshold for CW signal: Ptr 16 Aeff g R L eff 70 kW Aeff effective m ode-field area L eff effective interaction length Introduction Nonlinear Effects Burst Amplification Summary Stimulated Raman Scattering (SRS) For pulsed signal we consider the following characteristic lengths: T0 ~ 50 ps, P ~ 100 kW , L am plifier ~ 1 m , Aeff ~ 700 m : 2 2 D isp ersio n len gth : LD W a lko ff len gth : LW N o n lin ea r len gth : R a m a n - ga in len gth : LNL LR T0 ~ 100 km 2S T0 v 1 S v 1 S j 1 1 R ~ 100 m ~ 10 cm ~ 10 cm gR j 2 group velocity dispersion param eter v S , v R signal and R am an group velocity s nonlinear param eter Introduction Nonlinear Effects Burst Amplification Stimulated Raman Scattering (SRS) In fiber amplifiers we can achieve power levels beyond the calculated Raman threshold: Summary Introduction Nonlinear Effects Burst Amplification Summary Stimulated Brillouin Scattering (SBS) Signal photon generates the frequency-shifted Stokes wave and an acoustical phonon In fibers, SBS occurs only in the backward direction Lower frequency shift (~10 GHz) and bandwidth (~10 MHz) Much lower threshold for narrow-bandwidth CW signal Ptr 21 Aeff g B L eff 300 W gB 3 5·1 0 11 m /W Brillouin gain is reduced for broad-band signal by a factor: 1 S / B Brillouin gain is strongly reduced for pulse durations: T0 10 ns Introduction Nonlinear Effects Burst Amplification Avoiding NL effects Chirped-pulse amplification: 1. Pulse is stretched in a dispersive element (reduces peak power) 2. Stretched pulse is amplified 3. Pulse is recompressed For picosecond pulses, chirped-pulse amplification requires impractically large amounts of dispersion Another solution: burst amplification Summary Introduction Nonlinear Effects Burst Amplification Summary Burst Amplification Why bursts? To avoid nonlinear effects The energy of the burst is high and easily scalable with the number of pulses in burst The peak power of the individual pulse is lower (nonlinear effects) but still high-enough to reach material micro-processing thresholds. Faster risetime of the burst envelope in comparison to a single nanosecond pulse. A good energy/peak power/duration compromise for material processing. Introduction Nonlinear Effects Burst Amplification Summary Burst Amplification The leading edge of the burst is amplified more than the trailing edge, because of population inversion depletion Introduction Nonlinear Effects Burst Amplification Burst Amplification Burst can be aproximated by a square pulse (if repetition rate is high) If initial population inversion is homogeneous, ie.: x , t 0 0 then the density of photons at the end of the amplifier equals: n0 , 2 cn t L / v L 0 g n z L, t 1 1 e 0 e 0, 0 t L / v g T0 otherw ise stim ulated em ission cross- section n 0 density of photons in the i nitial square pulse v g group velocity Summary Introduction Nonlinear Effects Burst Amplification Summary Burst Amplification For a 20 dB fiber amplifier, where burst = 20 pulses with FWHM 50 ps and peak power 1 kW at 100 MHz repetition rate: Introduction Nonlinear Effects Burst Amplification Summary Burst Amplification The leading edge of the burst is amplified more than the trailing edge, because of population inversion depletion Possible solution – amplitude modulation of the seed laser (and modulation of pump light): Introduction Nonlinear Effects Setup Two stage fiber amplifier setup: Burst Amplification Summary Introduction Nonlinear Effects Burst Amplification Setup First amplifier: Yb-doped photonic crystal fiber with 16 μm mode-field-diameter Expected gain: ~ 30 dB Expected peak output power: ~ 10 kW Second amplifier: Yb-doped photonic crystal fiber with ~ 30 μm mode-field-diameter Higher nonlinear thresholds Expected gain: ~ 10 dB Expected peak output power: ~ 100 - 500 kW Summary Introduction Nonlinear Effects Burst Amplification Summary Summary Fiber lasers have many advantages over bulk solid state lasers Nonlinear effects are the main limitation of fiber lasers Picosecond fiber lasers are rarely used in material micro-processing today Proposed solution: burst amplification with seed amplitude modulation Expected output: E 10 J P 1 00 k W Possible application in thin film micro-processing