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Title: On the limits of observing motion in time-resolved X-ray scattering

Abstract

Limits on the ability of time-resolved X-ray scattering (TRXS) to observe harmonic motion of amplitude, A and frequency, ω 0, about an equilibrium position, R 0, are considered. Experimental results from a TRXS experiment at the LINAC Coherent Light Source are compared to classical and quantum theories that demonstrate a fundamental limitation on the ability to observe the amplitude of motion. These comparisons demonstrate dual limits on the spatial resolution through Q max and the temporal resolution through ω max for observing the amplitude of motion. In the limit where ωmax ≈ ω 0, the smallest observable amplitude of motion is A = 2π/Q max. In the limit where ω max≥2ω 0, A≤2π/Q max is observable provided there are sufficient statistics.

Authors:
 [1]; ORCiD logo [2];  [3]; ORCiD logo [4];  [5]
  1. SLAC National Accelerator Lab., Menlo Park, CA (United States). Photon Ultrafast Laser Science and Engineering Inst. (PULSE); Stanford Univ., CA (United States). Dept. of Physics
  2. SLAC National Accelerator Lab., Menlo Park, CA (United States). Linac Coherent Light Source (LCLS)
  3. SLAC National Accelerator Lab., Menlo Park, CA (United States). Photon Ultrafast Laser Science and Engineering Inst. (PULSE)
  4. SLAC National Accelerator Lab., Menlo Park, CA (United States). Photon Ultrafast Laser Science and Engineering Inst. (PULSE); SLAC National Accelerator Lab., Menlo Park, CA (United States). Linac Coherent Light Source (LCLS)
  5. SLAC National Accelerator Lab., Menlo Park, CA (United States). Photon Ultrafast Laser Science and Engineering Inst. (PULSE); Stanford Univ., CA (United States). Dept. of Physics, and Dept. of Applied Physics
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1528790
Grant/Contract Number:  
AC02-76SF00515
Resource Type:
Accepted Manuscript
Journal Name:
Philosophical Transactions of the Royal Society. A, Mathematical, Physical and Engineering Sciences
Additional Journal Information:
Journal Volume: 377; Journal Issue: 2145; Journal ID: ISSN 1364-503X
Publisher:
The Royal Society Publishing
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats

Ware, Matthew R., Glownia, James M., Natan, Adi, Cryan, James P., and Bucksbaum, Philip H. On the limits of observing motion in time-resolved X-ray scattering. United States: N. p., 2019. Web. doi:10.1098/rsta.2017.0477.
Ware, Matthew R., Glownia, James M., Natan, Adi, Cryan, James P., & Bucksbaum, Philip H. On the limits of observing motion in time-resolved X-ray scattering. United States. doi:10.1098/rsta.2017.0477.
Ware, Matthew R., Glownia, James M., Natan, Adi, Cryan, James P., and Bucksbaum, Philip H. Mon . "On the limits of observing motion in time-resolved X-ray scattering". United States. doi:10.1098/rsta.2017.0477. https://www.osti.gov/servlets/purl/1528790.
@article{osti_1528790,
title = {On the limits of observing motion in time-resolved X-ray scattering},
author = {Ware, Matthew R. and Glownia, James M. and Natan, Adi and Cryan, James P. and Bucksbaum, Philip H.},
abstractNote = {Limits on the ability of time-resolved X-ray scattering (TRXS) to observe harmonic motion of amplitude, A and frequency, ω0, about an equilibrium position, R0, are considered. Experimental results from a TRXS experiment at the LINAC Coherent Light Source are compared to classical and quantum theories that demonstrate a fundamental limitation on the ability to observe the amplitude of motion. These comparisons demonstrate dual limits on the spatial resolution through Qmax and the temporal resolution through ωmax for observing the amplitude of motion. In the limit where ωmax ≈ ω0, the smallest observable amplitude of motion is A = 2π/Qmax. In the limit where ωmax≥2ω0, A≤2π/Qmax is observable provided there are sufficient statistics.},
doi = {10.1098/rsta.2017.0477},
journal = {Philosophical Transactions of the Royal Society. A, Mathematical, Physical and Engineering Sciences},
number = 2145,
volume = 377,
place = {United States},
year = {2019},
month = {5}
}

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