Basic principles of ultrafast lasers
Components of ultrafast laser system Pump
Mode-locking Dispersion
HR
OC
Gain
Mechanism Compensation
Cavity modes
ln = 2 L/n
D f = c/2 L
Concepts of Mode Locking
Mode locking is a method to obtain ultrafast pulses from lasers, which are then called mode-locked lasers mode
RANDOM LOCKED phases phase for forall allthe thelaser lasermodes modes Irradiance vs. Time Out of phase
Out of phase In phase Out of phase
Time
Time
Basic principles of ultrafast lasers
Bandwidth vs Pulsewidth
broadest broader spectrum spectrum DnDt = const. bandwidth narrow spectrum Dn
duration continuous wave Dt (CW)
pulses shortest (mode-locked) pulses
Mode-locking Mechanisms
Active mode-locking
Acousto-optic modulator Synchronous pump mode-locking
Passive mode-locking
Saturable absorber (dye, solid state) Optical Kerr effect
Types of Laser Output
Power Power
cw
Time
cw ML
Time
Power
Power
Q-switch
Time
Q-sw.ML
Time
Kerr-Lensing
Kerr medium (n = n0 + n2I)
Low-intensity beam
High-intensity ultrashort pulse
Focused pulse
Optical Kerr Effect
Intensity dependent refractive index: n = n0 + n2I(x,t)
Spatial (self-focusing) provides loss modulation with suitable placement of gain medium (and a hard aperture) Temporal (self-phase modulation) provides pulse shortening mechanism with group velocity dispersion
Optical Kerr Effect
Refractive index depends on light intensity: n (I)= n + n2 I
self phase modulation due to temporal intensity variation
self-focusing due to transversal mode profile
Group Velocity Dispersion (GVD)
Optical pulse in a transparent medium stretches because of GVD
v = c / n speed of light in a medium n depends on wavelength, dn/dl < 0 normal dispersion
High-intensity modes have smaller cross-section and are less lossy. Thus, Kerr-lens is similar to saturating absorber! Some lasing materials (e.g. Ti:Sapphire) can act as Kerr-media Kerrs effect is much faster than saturating absorber allowing one generatevery short pulses (~5 fs).
GVD Compensation
GVD can be compensated if optical pathlength is different for blue and red components of the pulse.
Prism compensator
Wavelength tuning mask
Red component of the pulse propagates in glass where group velocity is smaller than for the blue component
Components of an Ultrafast Laser
Pulse shortening mechanism Self phase modulation and group velocity dispersion Dispersion Compensation Starting Mechanism Regenerative initiation Cavity perturbation Saturable Absorber (SESAM)
Cavity configuration of Ti:Sapphire laser
Tuning range 700-1000 nm Pulse duration < 20 fs Pulse energy < 10 nJ Repetition rate 80 1000 MHz Pump power: 2-15 W
Typical applications: time-resolved emission studies multi-photon absorption spectroscopy imaging
Amplification of fs Pulses
Concept: Stretch femtosecond oscillator pulse by 103 to 104 times Amplify Recompress amplified pulse
Oscillator
Stretcher
Amplifier
Compressor
Chirped pulse amplification
Femtosecond pulses can be amplified to petawatt powers Pulses so intense that electrons stripped rapidly from atoms