Diffuse photon remission associated with the center-illuminated-area-detection geometry: Part I, an approach to the steady-state model
01 natural sciences
0104 chemical sciences
DOI:
10.1364/ao.468342
Publication Date:
2022-10-05T18:00:08Z
AUTHORS (2)
ABSTRACT
Diffuse photon remission
associated with the center-illuminated-area-detection
(CIAD) geometry has
been useful for non-contact
sensing and may inform single-fiber reflectance (SfR). This series of
work advances model approaches that help enrich the understanding and
applicability of the photon remission by CIAD. The general approach is
to derive the diffuse photon remission by the area integration of the
radially resolved diffuse reflectance while limiting the analysis to a
medium exhibiting only the Heyney–Greenstein (HG) scattering phase
function. Part I assesses the steady-state photon remission in CIAD
over a reduced scattering scaled diameter of
μ
s
′
d
a
r
e
a
∈
[
0.5
×
10
−
3
,
10
3
]
that covers the range extensively
modeled for SfR. The corresponding radially resolved diffuse
reflectance is obtained by concatenating an empirical expression for
the semi-ballistic region near the point-of-illumination and a formula
utilizing a master-slave dual-source scheme over the semi-diffusive to
a diffusive regime while being constrained by an extrapolated
zero-boundary condition. The terminal algebraic photon remission is
examined against Monte Carlo simulations for an absorption coefficient
over
[
0.001
,
1
]
m
m
−
1
, a reduced scattering coefficient
over
[
0.01
,
1000
]
m
m
−
1
, a HG scattering anisotropy factor
within
[
0.5
,
0.95
]
, and a diameter of the area of
collection ranging
[
50
,
1000
]
µ
m
. The algebraic model is also applied
to phantom data acquired over a
∼
2
c
m
non-contact CIAD configuration and
with a 200 µm SfR probe. The model approach will be extended in
a subsequent work towards the time-of-flight characteristics of
CIAD.
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