-
X-ray Photon Correlation Spectroscopy (XPCS) is vital for probing mesoscale material dynamics using synchrotron radiation, yet the complex influence of parameters such as light source properties, beam propagation, detector response on speckle dynamics is hard to directly observe. This study develops a Monte Carlo-based full optical path numerical model to systematically analyze these effects, aiding experimental optimization.
A simulation framework integrating Brownian dynamics, beam coherence, and detector response was constructed to replicate the entire photon emission-to-detection process. A Fraunhofer diffraction-based speckle generation algorithm reproduced speckle fluctuations via atomic position evolution and phase modulation. Feasibility was validated via Siegert relation fitting (β, γ), Γ - q2 linearity (R2=0.99904), and consistency with the Einstein-Stokes law.
Key parameter sensitivity analysis revealed:(1) Optimal aperture matching (r/σ=1) balances coherence and photon flux; (2) Mechanical vibrations with Δx/s=1500 induce periodic oscillations in g2(q, τ), masking intrinsic relaxation, as validated by a 24.658 Hz pump experiment; (3) Poisson noise and intensity fluctuations degrade low-light SNR, with Poisson noise causing discrete errors and classical noise inducing baseline shifts.
This framework clarifies how source properties, optical parameters, and noise affect results, providing guidance for XPCS optimization and a foundation for extending its applications to high-precision coherent scattering scenarios.-
Keywords:
- X-ray Photon Correlation Spectroscopy /
- Monte Carlo simulation /
- speckle dynamics /
- full optical path simulation
-
[1] Martinelli A, Baldi G, Dallari F, Rufflé B, Zontone F, Monaco G 2020 Philos. Mag. 1002636
[2] Zhong W, Liu F, Wang C 2021 J. Phys. Condens. Matter 33313001
[3] Jo W, Stern S, Westermeier F, Rysov R, Riepp M, Schmehr J, Lange J, Becker J, Sprung M, Laurus T, Graafsma H, Lokteva I, Gruebel G, Roseker W 2023 Opt. Express 313315
[4] Sandy A R, Zhang Q, Lurio L B 2018 Annu. Rev. Mater. Res. 48167
[5] Sutton M, Lhermitte J R, Ehrburger-Dolle F, Livet F 2021 Phys. Rev. Res. 3013119
[6] Mohanty S, Cooper C B, Wang H, Liang M, Cai W 2022 Modell. Simul. Mater. Sci. Eng. 30075004
[7] Rudd R E, Briggs G, Sutton A, Medeiros-Ribeiro G, Williams R S 2003 Phys. Rev. Lett. 90146101
[8] Miao J, Charalambous P, Kirz J, Sayre D 1999 Nature 400342
[9] Tessarini S 2022 Monte Carlo simulation of phase sensitive X-ray imaging. Ph.D. Dissertation, ETH Zurich
[10] Sheyfer D, Zhang Q, Lal J, Loeffler T, Dufresne E M, Sandy A R, Narayanan S, Sankaranarayanan S K R S, Szczygiel R, Maj P, Soderholm L, Antonio M R, Stephenson G B 2020 Phys. Rev. Lett. 125125504
[11] Sheyfer D, Zheng H, Krogstad M, Thompson C, You H, Eastman J A, Liu Y, Wang B X, Ye Z G, Rosenkranz S, Phelan D, Dufresne E M, Stephenson G B, Cao Y 2024 J. Synchrotron Radiat. 3155
[12] Chen Y, Han W, Bin G, Wu S, Morgan S P, Sun S 2024 Sci. Rep. 1427665
[13] Hu Z, Donatelli J J 2024 Phys. Rev. B 110214305
[14] Semeraro E F, Möller J, Narayanan T 2018 J. Appl. Crystallogr. 51706
[15] Narayanan T, Sztucki M, Van Vaerenbergh P, Léonardon J, Gorini J, Claustre L, Sever F, Morse J, Boesecke P 2018 J. Appl. Crystallogr. 511511
[16] Andrews R N, Narayanan S, Zhang F, Kuzmenko I, Ilavsky J 2018 J. Appl. Crystallogr. 5135
[17] Lehmkühler F, Dallari F, Jain A, Sikorski M, Moller J, Frenzel L, Lokteva I, Mills G, Walther M, Sinn H, Schulz F, Dartsch M, Markmann V, Bean R, Kim Y, Vagovic P, Madsen A, Mancuso A P, Grubel G 2020 Proc. Natl. Acad. Sci. U.S.A. 11724110
[18] Berne B J, Pecora R 2000 Dynamic light scattering:with applications to chemistry, biology, and physics (Courier Corporation)
[19] Patterson G D, Lindsey C P 1981 Macromolecules 1483
[20] Khan F, Narayanan S, Sersted R, Schwarz N, Sandy A 2018 J. Synchrotron Radiat. 251135
[21] Arango M T, Zhang Y, Zhao C, Li R, Doerk G, Nykypanchuk D, Chen-Wiegart Y C K, Fluerasu A, Wiegart L 2020 Mater. Today Phys. 14100220
[22] Ruta B, Evenson Z, Hechler S, Stolpe M, Pineda E, Gallino I, Busch R 2015 Phys. Rev. Lett. 115175701
[23] Katzav E, Schwartz M 2004 Phys. Rev. E 69052603
[24] Einstein A 1905 Ann. Phys. 322549
[25] Duhr S, Braun D 2006 Phys. Rev. Lett. 96168301
[26] Zhou Z, Zhang M, Cui C, Wei L, Li S, Guo Z, Xu Y, Tian F, Li X, Jiang H, Tai R 2025 Phys. Scr. 100075115
Metrics
- Abstract views: 9
- PDF Downloads: 0
- Cited By: 0
下载:
