Imaging electron motion with attosecond time resolution

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Problems Problem #1: Im[χ(k,ω)] must be defined on infinite ω interval for continuous time interval Solution: Extrapolate. Side effects: • χ(x,t) defined on continuous (infinitely narrow) time intervals. • Time “resolution” ∆t N = π/Ω max • Ω max plays role of pulse width.
Problems Problem #2: Discrete points violate causality Im[χ(k,ω)] must be defined on continuous ω interval. Periodicity incompatible with causality. Solution: Analytic continuation (interpolate) Side effects: • χ(x,t) defined forever. Vanishes for t < 0. • Repeats with period T = 2π/∆ω = 13.8 femtoseconds • ∆ω plays role of rep rate
Page 1 and 2: Imaging electron motion with attose
Page 3 and 4: Attoscience Reproduced from Dresche
Page 5 and 6: Why not energy domain - photoabsorp
Page 7 and 8: Inelastic x-ray (or n + or e - ) sc
Page 9 and 10: “Phase problem” and the arrow o
Page 11: Plasma oscillations in water - Im[
Page 15 and 16: Disturbance from a point perturbati
Page 17 and 18: Compound sources (x,t) (x 0 ,0) (x
Page 19 and 20: Compound sources - wake from 9 MeV
Page 21 and 22: Alkali halides - an intermediate ca
Page 23 and 24: Result
Page 25 and 26: Isolating the exciton g gap B ( ω)
Page 27 and 28: Wannier functions (Ku, et. al.)
Page 29 and 30: Homogeneous vs. homogeneous broaden

Imaging electron motion with attosecond time resolution

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