In this paper, exact analytical solutions are derived for the second-order moment and the mean-square displacement based on the transport theory fluence that is caused by an arbitrary anisotropic point source, which is located at the origin of a three-dimensional coordinate system. In particular, the derivations are carried out as a function of the number of scattering events. The resulting formulas in the steady-state and time domain depend, apart from the scattering coefficient and partly the absorption coefficient, only on the anisotropy factor of the considered rotationally invariant scattering phase function. We additionally present the second-order moment and the mean-square displacement for the fluence of fluorescence light in the steady-state domain.

Analytical solutions for the mean-square displacement derived from transport theory / Liemert, André; Martelli, Fabrizio; Kienle, Alwin. - In: PHYSICAL REVIEW A. - ISSN 2469-9926. - ELETTRONICO. - 105:(2022), pp. 053505-1-053505-6. [10.1103/PhysRevA.105.053505]

Analytical solutions for the mean-square displacement derived from transport theory

Martelli, Fabrizio
Writing – Review & Editing
;
2022

Abstract

In this paper, exact analytical solutions are derived for the second-order moment and the mean-square displacement based on the transport theory fluence that is caused by an arbitrary anisotropic point source, which is located at the origin of a three-dimensional coordinate system. In particular, the derivations are carried out as a function of the number of scattering events. The resulting formulas in the steady-state and time domain depend, apart from the scattering coefficient and partly the absorption coefficient, only on the anisotropy factor of the considered rotationally invariant scattering phase function. We additionally present the second-order moment and the mean-square displacement for the fluence of fluorescence light in the steady-state domain.
105
053505-1
053505-6
Goal 3: Good health and well-being
Liemert, André; Martelli, Fabrizio; Kienle, Alwin
File in questo prodotto:
File Dimensione Formato  
PhysRevA-MSD-2022.pdf

Accesso chiuso

Tipologia: Pdf editoriale (Version of record)
Licenza: DRM non definito
Dimensione 355.88 kB
Formato Adobe PDF
355.88 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2158/1269567
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 0
  • ???jsp.display-item.citation.isi??? ND
social impact