Appl Phys B (2009) 96: 287–291
DOI 10.1007/s00340-009-3489-9
Implementation of the direct locking method for long-term
carrier-envelope-phase stabilization of a grating-based kHz
femtosecond laser
J.-H. Lee · Y.S. Lee · J. Park · J.J. Park · D.S. Kim ·
T.J. Yu · C.H. Nam
Received: 5 December 2008 / Revised version: 2 March 2009 / Published online: 2 April 2009
© Springer-Verlag 2009
Abstract We have stabilized the carrier-envelope phase
(CEP) of amplified femtosecond laser pulses from a grating-
based chirped-pulse amplification femtosecond laser by the
direct locking method. Long-term CEP stabilization in the
oscillator was achieved by employing a double-feedback
loop to control both the pumping power and the cavity dis-
persion. Large CEP drift, induced during amplification, was
compensated by adjusting the grating separation in the pulse
compressor, and the CEP stabilization was maintained for
four hours with a phase jitter of about 180 mrad. After pulse
compression to 5.5-fs pulses in a filamentation pulse com-
pressor, CEP-stabilized laser pulses were applied for high-
harmonic generation to confirm the CEP stabilization.
PACS 42.65.Tg · 42.65.Re · 42.65.Ky
1 Introduction
Advancement of femtosecond laser technology has facili-
tated the development of few-cycle high-power lasers. Com-
pact high-power femtosecond lasers based on the chirped-
pulse amplification (CPA) technique are widely available
nowadays. With pulse compression in a gaseous medium,
intense laser pulses containing only few optical cycles can
J.-H. Lee · Y.S. Lee · J. Park · J.J. Park · D.S. Kim ·
C.H. Nam ( )
Department of Physics and Coherent X-ray Research Center,
KAIST, 305-701 Daejeon, Korea
e-mail: chnam@kaist.ac.kr
T.J. Yu
Advanced Photonics Research Institute, GIST, 500-712 Gwangju,
Korea
be produced. The electric-field profile of a laser pulse is
then a more pertinent physical entity in light–matter inter-
actions than the intensity profile. The electric-field profile
of few-cycle laser pulses, however, changes sensitively to
the carrier-envelope phase (CEP) of the laser pulse. The
stabilization of CEP is thus one of critical techniques in
investigating few-cycle laser–matter interactions, such as
high-harmonic generation (HHG) [1], above-threshold ion-
ization [2], and Rabi flopping [3].
The CEP stabilization of a femtosecond oscillator can be
realized in a couple of different ways. The CEP stabilization
technique based on a phase-locked loop (PLL) was devel-
oped for frequency metrology [4–6] and was also widely
used for the CEP stabilization of high-power femtosecond
lasers. The PLL method makes the carrier-envelope offset
frequency (f
ceo
), or the rate of CEP change, constant; thus,
the laser pulses from a CEP-stabilized oscillator have con-
tinuously changing CEP with a constant rate. This is dis-
advantageous in applications requiring all laser pulses with
identical CEP. On the other hand, the direct locking method
is a different kind of a CEP-stabilization scheme operating
in the time domain [7]. This scheme eliminates CEP drift
between successive pulses by quenching the beating signal
from an f -to-2f interferometer generating pulses with iden-
tical CEP value, or equivalently zero f
ceo
. While the conven-
tional PLL method electronically detects the RF phase error
between the RF reference and the optical beating signal from
the interferometer using an electrical phase detector, the di-
rect locking method directly detects the CEP variation from
the optical beating signal, not necessitating an external ref-
erence signal. For precise and long term CEP stabilization
a homodyne balanced detection and a double-feedback loop
have been devised, which greatly enhanced practicality of
the direct locking scheme [8]. Due to simplicity in equip-
ment and intuitiveness in data analysis the CEP stabilization