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. Author manuscript; available in PMC: 2019 Dec 12.
Published in final edited form as: Appl Opt. 1994 Jun 1;33(16):3562–3570. doi: 10.1364/AO.33.003562
c Speed of light.
f Modulation frequency of incident and detected light.
f* Dimensionless modulation frequency, f*= fl*/c.
L Optical path length.
L Mean of the distribution of optical path lengths.
l* Mean isotropic scattering length (= 1/ μs′).
M Amplitude modulation of emitted light with respect to the incident.
Mabsence Amplitude modulation of emitted light from a homogeneous medium.
Mpresence Amplitude modulation of emitted light in the presence of an embedded absorber.
Mr Modulation ratio, = Mpresence/Mabsence.
n*, n′, ntot Number of scattering events or scattering steps.
Ps(X,ζ,n) Probability that a photon is emitted at a source sample position (X,ζ) in n scattering steps.
PD(X,ζ,n) Probability that a photon is emitted at a detector sample position (X,ζ) in n scattering steps.
P(X,ζ,n) Probability that a photon is emitted at a source and detected at the detector sample position (X,ζ) in n scattering steps.
t Photon time of flight.
x, y, z Directions of the Cartesian system.
ZCF Zero-crossing frequency at which Δθ = 0.
θ Phase shift of emitted modulated light with respect to the incident light.
θabsence Phase shift of emitted light from a homogeneous medium.
θpresence Phase shift of emitted light in the presence of an embedded absorber.
Δθ Phase-shift difference, θpresence – θabsence.
ρ Source-detector separation.
ρ* Dimensionless source-detector separation, = ρ/l*.
μs Isotropic scattering coefficient (length−1).
μa Absorption coefficient (length−1).
X,ζ Nondimensional x and z directions X=x/l* and ζ = z/l*.