Jan Matyschok, Thomas Binhammer, Tino Lang, Oliver Prochnow, Stefan Rausch, Piotr Rudawski, Anne Harth, Miguel Miranda, Chen Guo, Eleonora Lorek, Johan Mauritsson, Cord Arnold, Anne L'Huillier, Uwe Morgner
A compact, high-repetition rate optical parametric chirped pulse amplifier system emitting CEP-stable, few-cycle pulses
with 10 μJ of pulse energy is reported for the purpose of high-order harmonic generation. The system is seeded from a
commercially available, CEP-stabilized Ti:sapphire oscillator, delivering an octave-spanning spectrum from 600-1200 nm. The oscillator output serves on the one hand as broadband signal for the parametric amplification process and
on the other hand as narrowband seed for an Ytterbium-based fiber preamplifier with subsequent main amplifiers and
frequency doubling. Broadband parametric amplification up to 17 μJ at 200 kHz repetition rate was achieved in two
5 mm BBO crystals using non-collinear phase matching in the Poynting-vector-walk-off geometry. Efficient pulse
compression down to 6.3 fs is achieved with chirped mirrors leading to a peak power exceeding 800 MW. We observed
after warm-up time a stability of < 0.5 % rms over 100 min. Drifts of the CE-phase in the parametric amplifier part could
be compensated by a slow feedback to the set point of the oscillator phase lock. The CEP stability was measured to be
better than 80 mrad over 15 min (3 ms integration time).
The experimentally observed output spectra and energies could be well reproduced by simulations of the parametric
amplification process based on a (2+1)-dimensional nonlinear propagation code, providing important insight for future
repetition rate scaling of OPCPA systems. The system is well-suited for attosecond science experiments which benefit
from the high repetition rate. First results for high-order harmonic generation in argon will be presented.
Our recent work [Phys. Rev. A, 82, 013805 (2010)] clearly establishes a new regime of filamentation beyond the
conventional "intensity clamping" by high-resolution spatial imaging of filaments. We present the corresponding
measurements of the supercontinuum emission (SCE) from filaments in this regime produced by ultrashort (45 fs) sub-
TW (up to 0.2 TW) Ti:Sapphire laser pulses focused air under tight (f/6) focusing geometry. The intimate connection
between the spatial and spectral domains in the new regime is established by investigating the spectral broadening of
SCE at peak intensities exceeding 1014 W/cm2 pulses at the focus thus giving a more complete picture of this new regime
in filamentary propagation of intense fs pulses.
We present a high-speed photographic analysis of the interaction of cavitation bubbles generated in two spatially separated regions by femtosecond laser-induced optical breakdown in water. Depending on the relative energies of the femtosecond laser pulses and their spatial separation, different kinds of interactions, such as a flattening and deformation of the bubbles, asymmetric water flows, and jet formation were observed. The results presented have a strong impact on understanding and optimizing the cutting effect of modern femtosecond lasers with high repetition rates (>1 MHz).
We present the evolution of supercontinuum emission (SCE) from tightly focused fs laser pulses propagating in air.
45 fs laser pulses at 806 nm, 10 Hz repetition rate, from Ti:Sapphire laser (Thales Laser, Alpha 10) with a
nanosecond contrast ratio better than 10-6: 1 are focused in air by a lens to an f/12 focusing geometry in one case,
and by an off-axis parabolic mirror leading to an f/6 focusing in another. The laser input power is varied in the range
of 10 - 90 PCr and 6 - 60 PCr in the f/12 and f/6 focusing geometries, respectively, where the critical power for selffocusing
in air is PCr = 3 GW for 806 nm. The effect of the tight focusing condition on the SCE spectrum and the
dependence on the input laser polarization are studied. Within the input power range used in the study, the blue edge
(the maximum positive frequency shift) of the SCE spectrum is found to decrease continuously when the laser
energy is increased. This result is in contrast with previous measurements of SCE in condensed matter and gases
with loose focusing geometry, for which a constant blue edge was interpreted as due to intensity clamping. We
propose a model, which show that for tight focusing conditions, external focusing prevails over the optical Kerr
effect annihilating plasma defocusing and self-focusing, thereby giving access to a new propagation regime featured
by an efficient laser energy deposition in fully ionized air and intense 1015 W/cm2 pulses at the focus.
Ultrashort laser pulses recently found extensive application in micro- and nanostructuring, in refractive surgery
of the eye, and in biophotonics. Due to the high laser intensity required to induce optical breakdown, nonlinear
plasma formation is generally accompanied by a number of undesired nonlinear side-effects such as self-focusing,
filamentation and plasma-defocusing, seriously limiting achievable precision and reproducibility. To reduce pulse
energy, enhance precision, and limit nonlinear side effects, applications of ultrashort pulses have recently evolved
towards tight focusing using high numerical aperture microscope objectives. However, from the theoretical and
numerical point of view generation of optical breakdown at high numerical aperture focusing was barely studied.
To simulate the interaction of ultrashort laser pulses with transparent materials, a comprehensive numerical
model taking into account nonlinear propagation, plasma generation as well as the pulse's interaction with
the generated plasma is introduced. By omitting the widely used scalar and paraxial approximations a novel
nonlinear propagation equation is derived, especially suited to meet the conditions of high numerical aperture
focusing. The multiple rate equation (MRE) model is used to simultaneously calculate the generation of free
electrons. Nonparaxial and vectorial diffraction theory provides initial conditions.
The theoretical model derived is applied to numerically study the generation of optical breakdown plasmas,
concentrating on parameters usually found in experimental applications of cell surgery. Water is used as a model
substance for biological soft tissue and cellular constituents. For focusing conditions of numerical aperture
NA < 0.9 generation of optical breakdown is shown to be strongly influenced by plasma defocusing, resulting in
spatially distorted breakdown plasmas of expanded size. For focusing conditions of numerical aperture NA ≥ 0.9
on the other hand generation of optical breakdown is found to be almost unaffected by distortive side-effects,
perfectly suited for material manipulation of highest precision.
Ultrashort laser pulses tightly focused provide intensity sufficient to initialize nonlinear ionization processes. Thus a plasma is generated in the focal region eventually resulting in optical breakdown. The deterministic character of this nonlinear interaction enables the generation of precise and highly reproducible material alteration. To gain better spatial precision applications have recently evolved strongly towards tight focusing of ultrashort pulses using microscope objectives as focusing units. The pulse energy required to generate optical breakdown was thus reduced to nanojoules or even below. The mechanical effects subsequent to plasma generation can be minimized to the very focus. Cell surgery with ultrashort pulses enables to precisely ablate cell organelles without observable hazardous effects to the surroundings or the entire cell.
To numerically investigate the nonlinear interaction of ultrashort pulses with transparent media, a model including both nonlinear pulse propagation and plasma generation is introduced. The numerical code is based on a (3+1)-dimensional nonlinear Schrödinger equation describing the pulse propagation and the interaction with the density of free electrons that are generated in the focus. The nonlinear wave equation was derived taking into account both nonparaxial and vectorial effects to accurately include tight focusing at high numerical aperture. A multi rate equation model for dielectrics recently published by B. Rethfeld is used to simultaneously calculate the generation of free electrons.
Numerical calculations based on this model are used to understand the dependence between size, geometry and density of optical breakdown plasmas in various focusing geometries of high numerical aperture. The code enables to use arbitrary initial conditions for the laser field in the focus. At high numerical aperture it is most important to start the simulation using realistic initial conditions. Especially the vectorial character of the electric field is most important to be considered. Thus a vectorial diffraction integral was used to calculate initial conditions at high numerical aperture.
The code is applicable to any transparent Kerr medium, whose linear and nonlinear optical parameters are known. Within this work the code was applied to water as a model substance to biological soft tissue and cellular constituents.
Recently ultrashort laser pulses became most important for micro structuring and biomedical applications such as refractive surgery. Ultrashort laser pulses tightly focused to a small spot easily provide intensity sufficient to induce nonlinear ionization. A plasma is generated and heated in the focus resulting in optical breakdown. The energy deposited in the plasma and the mechanical effects subsequent to optical breakdown are utilized by modern applications of ultrashort laser pulses to induce controlled highly reproducible material alteration. A model including both nonlinear pulse propagation and plasma generation is introduced to numerically investigate the interaction of ultrashort laser pulses with the self-induced plasma in the vicinity of the focus. The numerical code is based on a (3+1)-dimensional nonlinear Schroedinger equation describing the pulse propagation. A multi rate equation model recently published by B. Rethfeld is used to simultaneously calculate the generation of free electrons. It is the first numerically simple approach to describe nonlinear ionization that allows a non static energy distribution of free electrons in the conduction band. The code is applicable to any transparent Kerr medium, whose linear and nonlinear optical parameters are known. Numerical calculations based on this model are used to understand the dependence between the size, the geometry and the free electron density of ultrashort laser pulse induced optical breakdown plasmas in various focusing geometries. The code enables to use arbitrary initial conditions for the laser field in the focus. More realistic focusing scenarios than the simple assumption of focused gaussian beams can be taken into account. Nonlinear side effects, such as streak formation occurring in addition to optical breakdown during ultrashort pulse refractive eye surgeries can be numerically investigated.
In the focal region of tightly focused ultrashort laser pulses, sufficient high intensities to initialize nonlinear ionization processes are easily achieved. Due to these nonlinear ionization processes, mainly multiphoton ionization and cascade ionization,
free electrons are generated in the focus resulting in optical breakdown. A model including both nonlinear pulse propagation and plasma generation is used to calculate numerically the interaction of ultrashort pulses with their self-induced plasma in the vicinity of the focus. The model is based on a (3+1)-dimensional nonlinear Schroedinger equation describing the pulse propagation coupled to a system of rate equations covering the generation of free electrons.
It is applicable to any transparent Kerr medium, whose linear and nonlinear optical parameters are known. Numerical calculations based on this model are used to understand nonlinear side effects, such as streak formation, occurring in addition to optical breakdown during short pulse refractive eye surgeries like fs-LASIK. Since the optical parameters of water are a good first-order approximation to those of corneal tissue, water is used as model substance. The free electron density distribution induced by focused ultrashort pulses as well as the pulses spatio-temporal behavior are studied in the low-power regime around the critical power for self-focusing.
When ultrashort laser pulses are focused inside transparent materials, extremely high field intensities can easily be achieved in the focal volume leading to nonlinear interaction with the material. In corneal tissue this nonlinear interaction results in an optical breakdown that may serve as a cutting mechanism in ophthalmology. As a side effect of optical breakdown in corneal tissue, streak-like structures have been observed as discoloration
in histological sections under a light microscope. To investigate the streak formation, a numerical model including nonlinear pulse propagation due to self-focusing, group velocity dispersion, and plasma defocusing due to generated free electrons is presented.
The model consists of a (3+1)-dimensional nonlinear Schroedinger equation, describing the pulse propagation coupled to an evolution equation covering the generation of free electrons. The rate equation contains multi photon ionization as well as avalanche ionization. The model is applicable to any transparent Kerr-medium.
Access to the requested content is limited to institutions that have purchased or subscribe to SPIE eBooks.
You are receiving this notice because your organization may not have SPIE eBooks access.*
*Shibboleth/Open Athens users─please
sign in
to access your institution's subscriptions.
To obtain this item, you may purchase the complete book in print or electronic format on
SPIE.org.
INSTITUTIONAL Select your institution to access the SPIE Digital Library.
PERSONAL Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.