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Attosecond Control and Measurement: Lightwave Electronics

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1 . 3 AT T O S E C O N D A N D H I G H - F I E L D P H Y S I C S D I V I S I O N<br />

In another study, Vladislav Yakovlev has investigated the<br />

possibility of coherent superposition of laser-driven SXR<br />

harmonics in successive sources by one <strong>and</strong> the same<br />

laser pulse. His prediction of the feasibility of quasi-<br />

A<br />

B<br />

Figure 10: High-order harmonic generation from<br />

successive sources. (A) Schematic illustration of a<br />

sequence of harmonic sources formed by gas jets.<br />

The sources are arranged along the optical axis of<br />

a focused laser beam <strong>and</strong> pumped by one <strong>and</strong> the<br />

same laser pulse. In our first proof-of-concept study<br />

we have employed only two sources (depicted in<br />

black), further ones can be added for scaling the<br />

SXR harmonic yield in future experiments (depicted<br />

in grey). (B) Increasing the density of atomic dipole<br />

emitters tends to increase the coherent harmonic<br />

yield. However, increasing density causes the dipole<br />

oscillators to increasingly dephase along the laser<br />

propagation direction. In a single source, this leads to<br />

saturation of the harmonic yield at an atomic density<br />

corresponding to a backing pressure of ~ 40 mbar,<br />

red curve (calculated) <strong>and</strong> squares (measured).<br />

Splitting the generation medium into two equal<br />

sections <strong>and</strong> moving them apart so that the phase<br />

of the atomic dipole oscillations gets shifted by in<br />

the focused laser beam allows the atomic density to<br />

be increased by a factor of two (at backing pressure<br />

of ~ 80 mbar), leading to saturation at a factor of<br />

four higher harmonic intensities (blue curve <strong>and</strong><br />

diamonds).<br />

phase-matched SXR harmonic generation by a focused<br />

laser beam in a gas medium of modulated density<br />

has meanwhile been confirmed by our experimental<br />

observation of constructive <strong>and</strong> destructive interference<br />

between the harmonic signals originating from two<br />

successive sources, see Figure 10 [32]. Our proof-ofconcept<br />

study opens the prospect of enhancing the<br />

photon flux of SXR harmonic sources to levels enabling<br />

researchers to tackle a range of applications in physical<br />

as well as life sciences.<br />

Should attosecond pulse generation be scalable to<br />

photon energies of several kiloelectronvolts, attosecond<br />

X-ray diffraction might allow, one day, 4-dimensional<br />

microscopy with attosecond temporal <strong>and</strong> picometre<br />

spatial resolution. Drawing on the pioneering work of<br />

Ahmed Zewail, we also pursue this long-term goal by<br />

advancing ultrafast electron diffraction. To this end,<br />

Ernst Fill, Laszlo Veisz, <strong>and</strong> Sasha Apolonskiy have<br />

presented a novel concept of an electron gun for<br />

generating few-femtosecond- to sub-femtosecondduration<br />

electron bunches [33]. The basic idea is<br />

to utilize a DC acceleration stage combined with a<br />

microwave cavity, the time-dependent field of which<br />

generates an electron energy chirp for bunching at the<br />

target. To reduce space charge broadening, the number<br />

of electrons in the bunch is reduced <strong>and</strong> the gun is<br />

operated at a MHz repetition rate. In the absence of<br />

space charge (one electron per bunch), the duration<br />

of the generated electron wavepacket may potentially<br />

be shortened below 1 fs. The team around Ernst Fill,<br />

Martin Centurion <strong>and</strong> Peter Reckenthäler, have also<br />

devised a technique for measuring the bunch duration<br />

with potentially attosecond resolution [34] <strong>and</strong> have<br />

also performed preliminary time-resolved experiments<br />

with (multi-)electron bunches, which allowed them to<br />

image dynamics changes in the density distribution of a<br />

laser-induced plasma [35].<br />

1.3.1. 3 hIGh-FIElD ATTOSECOND SCIENCE: RElA-<br />

TIVISTIC ElECTRON CONTROl<br />

As described in Chapter 1.3.1.1, we pursue scaling of<br />

waveform-controlled few-cycle laser pulse generation to<br />

relativistic intensities in the expectation that controlling<br />

the motion of relativistic electrons with attosecond<br />

precision in time <strong>and</strong> nano- to micrometre precision in<br />

space paves the way towards scaling attosecond pulse<br />

generation to higher flux <strong>and</strong>/or photon energies <strong>and</strong><br />

may allow the development of compact, laboratory<br />

sources of brilliant X-rays. Simultaneously with our<br />

efforts aiming at laser development, in collaboration<br />

with Dieter Habs <strong>and</strong> his group, we are also conducting<br />

relevant proof-of-concept studies drawing on our<br />

laser sources currently available. Two routes are being<br />

pursued at MPQ: the development of a compact X-ray<br />

free electron laser seeded by laser-accelerated electron<br />

bunches <strong>and</strong> coherent harmonic XUV/X-ray pulse<br />

generated from relativistically-driven surfaces. In this<br />

142 Max-Planck-Institut für Quantenoptik • Progress Report 2007/2008

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