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LCLS Conceptual Design Report - Stanford Synchrotron Radiation ...

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L C L S C O N C E P T U A L D E S I G N R E P O R T<br />

portions of this laser probe is determined according to the dynamic phase retardation induced by<br />

the electric field from the electron bunch. Any transmission attributed to intrinsic (static) phase<br />

retardation (i.e., without an electron bunch) is cancelled using a pair of polarizers with a biasing<br />

optical compensator. Polarizers are positioned up- and down-stream of the electro-optic crystal<br />

and are cross-polarized relative to each other. The electric field of the electron bunch modulates<br />

the transmitted intensity of the laser pulse in the following way. The short-lived bunch field<br />

induces a birefringence that generates phase retardation in the laser pulse. Consequently a<br />

polarization component orthogonal to that of the incident pulse can be transmitted to a<br />

spectrometer during a ‘gated’ time interval. The temporal structure of the bunch-induced<br />

modulation can come from knowledge of the initial wavelength chirp on the laser waveform. A<br />

spectrometer, in this case part of a Frequency Resolved Optical Gating (FROG) device, is used to<br />

measure which part of the band has been ‘gated’ by the electron bunch.<br />

electron bunch<br />

co-propagating<br />

laser pulse<br />

ωl<br />

beam pipe<br />

initial laser chirp<br />

polarizer EO crystal analyzer<br />

spectrometer<br />

t t ωs<br />

bunch charge gated spectral signal<br />

Figure 7.70. The principal of measurement of the electron bunch length by modulation of a chirped<br />

laser pulse in an electro-optic crystal by the electric field of the bunch. In practice only<br />

the EO crystal is in vacuum. All other optical components are located outside a window.<br />

In order for the FROG to adequately record transmission of a single laser pulse from a single<br />

electron bunch a photon flux of 10 µJ is required in the gated spectral signal. This translates into<br />

a peak power requirement of ~200 MW. The chirped laser waveform is stretched to a 10-ps<br />

duration (thereby allowing up to 10 ps of relative timing jitter between laser and beam). The high<br />

peak power and proportionately wide laser bandwidth requirements can be met with a<br />

Ti:Sapphire laser oscillator seeding a regenerative amplifier. The extent of the waveform chirp is<br />

limited by the pulse bandwidth which can exceed 10 nm. At this high peak power, care is<br />

required to remain below the fluence damage threshold near the 1-J·cm −2 level in the optical<br />

materials. The co-propagating geometry is chosen since a transverse light propagation geometry<br />

would require focusing the laser light to micron level spot sizes in the EO crystal in order to<br />

preserve temporal resolution. This would exceed damage thresholds by several orders of<br />

magnitude. One constraint on the co-propagating geometry is the relative slippage between the<br />

I<br />

A C C E L E R A T O R ♦ 7-99

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