Performance Metrics of Future Light Sources. Robert Hettel, SLAC ICFA FLS 2010 March 1, 2010
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1 Performance Metrics of Future Light Sources Robert Hettel, SLAC ICFA FLS 2010 March 1, 2010
2 special acknowledgment to John Corlett, LBNL, and Terry Anderson, SLAC
3 Spectral Brightness
4 Comparative Light Source Performance rings FELs
5 What metrics characterize emerging light sources? Are there some new metrics needed (and that might exonerate ring-based sources)? This talk will touch lightly on complex topics Most points are obvious, no profound conclusions Maybe more questions asked than answered
6 What Do SR Users Care About? Some user answers: A lot of photons into a small spot A lot of coherent photons A lot of photons in a short pulse A high pulse repetition rate Not too many photons A lot of photons into a large area A high coherent fraction A lot of photons in a long pulse A low pulse repetition rate nm spatial resolution Femtosecond pump-probe timing stability 0.1% intensity stability 50 kev photons 280 ev photons 10-6 energy bandwidth (mev) 10-2 energy bandwidth fast switched polarization Paraphrased: etc.. Maximum number of usable photons for an experiment in a minimum time experiment = experiment acceptance phase space acceptance phase space not easy to define for many experiments (2-/4-color mixing, nonlinear multi-photon events, non-linear multidimensional spectroscopy, etc.)
7 Important Metrics for Usable Photons flux to sample coherent flux repetition rate timing stability bunch length energy range multiple energies (2-/4-color) energy bandwidth beam size beam stability etc. photons/pulse coherent photons/pulse control of timing/synchronization timing synchronization control of bunch length energy tunability polarization switching energy resolution beam divergence power density Many parameters are captured with the traditional metrics: peak brightness average brightness (electron current/charge, energy, emittance, bunch length, )
8 Usable Photons Photons delivered to experiment acceptance phase space V exp (up to 6D): Vexp B( λ)dv High brightness does not necessarily mean more usable photons if source phase space underfills or is not matched to V exp Protein crystal has large acceptance flux more important than brightness X-ray absorption, x-ray emission and photoemission are insensitive to angular divergence of incident photons do not require lateral coherence. Small source size (i.e. small β x ) is important An experiment having 1% energy acceptance does not benefit any more from a source having 10-6 energy BW than from one having 10-3 BW Usable peak brightness and flux may be limited by sample damage, x-ray optics, detectors, signal processing rates, etc. these factors might be included in defining acceptance phase space
9 Spectral Brightness and Coherent Fraction Spectral brightness: photon density in 6D phase space B avg ( λ) ( ε x ε r ( λ))( ε N y ph ( λ) ε r ( λ))(s %BW) ε x,y = electron emittance ε r = photon emittance = λ/4π B pk ( λ) ( ε x ε r ( λ))( ε y N ph ε ( λ) r ( λ))( σ t %BW) σ t = bunch length Coherent fraction: f coh ( λ) = ( ε x λ / 4π ε ( λ)) r ( ε y λ / 4π ε ( λ)) r
10 Size-divergence transform limit (diffraction limit): Expresses fundamental coupling between beam size and angular divergence resolution and defines complete transverse coherence. Diffraction-limited emittance for transverse Gaussian electron beam: In terms of fractional bandwidth: ε diff ( λ) Time-energy transform limit: Fourier Transform Limits = λ 4π E E ph ph = (= 8 1 Å) Expresses the fundamental coupling between energy resolution and time resolution and defines complete temporal coherence. For Gaussian pulse intensity: E = h 4π t ph (= 3.3x10-4 ps(rms) ev(rms)) h 4πE ph t = λ 4πc
11 Redefined Brightness? New and future light sources are pushing towards transform-limited performance Peak brightness in terms of transform-limited phase space volume coherence volume V coh : B pk ( λ) = N V ph coh ( λ) ( λ) V coh ( λ) ~ λ 4π λ 4π λ c4π = 1 c λ π 4 3 V coh (1Å) = 1.17 x s mm 2 mrad 2 0.1% BW
12 Photons per Coherence Volume Photons/Coherence Volume 1.0E+13 photons/coherence vol 1.0E E E E E E E E-03 FELs rings 1.0E E photon energy (ev)
13 Diffraction-Limited Emittance Diffraction limit: ε ph = λ/4π
14 Energy Bandwidth vs. Pulse Length t E = 0.33 x 10-3 [ps(rms) ev (rms)] for aussian pulse
15 X-ray Source Temporal Performance
16 Limitations to Reaching Transform Limit -Transverse Electron-photon phase space matching: x e- γ x high electron emittance low electron emittance, mismatched low electron emittance, matched Insertion device parameters X-ray optics: can they preserve emittance and coherence?
17 Limitations to Reaching Transform Limit - Longitudinal Spontaneous undulator radiation λ Inherent bandwidth: = λ 1 nn und FELs N und = # undulator periods, n = harmonic # Must be convolved with electron energy spread: storage ring: σ E = ~10-3 linac/erl: σ E = ~10-4 But: BW at experiment determined by monochromator (with loss of intensity) SASE: BW determined by cooperation length. For ultra-short bunches, cooperation length can approach the bunch length; (large) bandwidth can be close to the transform limit. Seeded FEL and XFELO: BW approaches or reaches transform limit X-ray optics: can they preserve temporal coherence? Monochromators may not be needed!
18 Other limits: photons/pulse and flux >~10 9 ph/pulse can cause sample damage FEL users finding ways to avoid damage from much higher ph/pulse (10 12?) ultrashort pulses, energy detuning,etc repetition rate: too low or too high (detector processing rates, etc) stability!! cost.. Limits to Beam Parameters cont. Factors that prevent reaching performance potential may be considered to be metrics
19 Other Metrics Some important light source performance factors not captured by preceding metrics: polarization control various operating modes construction cost timing/synchronization # simultaneous experiments operation cost etc. New metric: # usable photons / pulse usable rep rate # stations #modes... facility cos t
20 The Need for Complementary Light Sources XFELs: unprecedented x-ray peak brightness, coherence and short pulse length control of longitudinal phase space femtosecond-level pump-probe capabilities A revolutionary tool for photon science Ring-based sources: highly stable high average brightness (and coherence), low peak brightness, high repetition rates wide energy spectrum and ultrahigh energy resolution picosecond pulses match timescale of electron-phonon coupling and allow electronic system to remain cool during and after the x-ray probe future ring-based sources will push toward the exploration of the combined minimum phase space boundary of order 1 nm, 1 mev and 10 ps support a large number of photon beam lines and serve a large number of diverse users simultaneously
21 ISEMS Integrated Source and Experiment Metrics System develop source, metrics spec new properties characterize properties analyze results develop experiments
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