Forward-calculated analytical interferograms in pass-through photon-based biomedical transillumination

Paulino Vacas-Jacques; Marija Strojnik; Gonzalo Paez

doi:10.1364/JOSAA.26.000602

Journal of the Optical Society of America A
Vol. 26,
Issue 3,
pp. 602-612
(2009)
•https://doi.org/10.1364/JOSAA.26.000602

Forward-calculated analytical interferograms in pass-through photon-based biomedical transillumination

Paulino Vacas-Jacques, Marija Strojnik, and Gonzalo Paez

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Paulino Vacas-Jacques, Marija Strojnik, and Gonzalo Paez, "Forward-calculated analytical interferograms in pass-through photon-based biomedical transillumination," J. Opt. Soc. Am. A 26, 602-612 (2009)

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Table of Contents Category
- Medical Optics and Biotechnology
Optics & Photonics Topics
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About this Article
History
- Original Manuscript: July 18, 2008
- Revised Manuscript: December 8, 2008
- Manuscript Accepted: December 9, 2008
- Published: February 20, 2009
Virtual Issues
Virtual Journal for Biomedical Optics Vol. 4, Iss. 5

Abstract

Recently, we have introduced a transillumination technique for biomedical diagnosis. The technique, pass-through photon-based transillumination, relies on interferometric measurements to recover the information of interest. In this work, we present the forward-calculated analytical interferograms that describe the behavior of the system. Stochastic modeling of radiation interacting with tissue enables determination of amplitude and phase parameters, indispensable for computation of the interferograms. Sample variability is assessed by studying tissue phantoms similar to those used in the experimental verification of the technique and that are representative of (abnormal) dental tissues. For tissue characterization, perfect recovery of the integrated attenuation ensues by employing spatially compact radiation sources. For tissue imaging, spatially extended sources with broad bandwidth are superior due to the implicit longitudinal coherence filter. For both applications, sample variability issues may be neutralized by permitting spatial divergence of scattered photons.

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Tissue Model	Reference	$μ_{s}$ $[{mm}^{- 1}]$	g ^a
(1)	van Staveren et al. [40]	5.91	0.731
(2)	Flock et al. [41]	4.28	0.827
(3)	van Staveren et al. [40] and Flock et al. [41]	5.91	0.93

Tissue Model	Intended Application	Pass-Through Transmittance^a	99% Confidence Intervals	Attenuation Coefficient $[{mm}^{- 1}]$	99% Confidence Intervals^b $[{mm}^{- 1}]$
(1)	Characterization	$0.00276 \pm 0.00017$	[0.00232, 0.00320]	5.799	[5.652, 5.972]
(2)	Characterization	$0.01238 \pm 0.00036$	[0.01145, 0.01330]	4.298	[4.226, 4.376]
(3)	Characterization	$0.00260 \pm 0.00014$	[0.00224, 0.00297]	5.857	[5.726, 6.007]
(1)	Imaging	$0.00242 \pm 0.00018$	[0.00196, 0.00288]	5.929	[5.755, 6.141]
(2)	Imaging	$0.01322 \pm 0.00030$	[0.01246, 0.01399]	4.232	[4.176, 4.292]
(3)	Imaging	$0.00229 \pm 0.00014$	[0.00194, 0.00265]	5.983	[5.841, 6.150]

Characterization						Imaging
Model (1)		Model (2)		Model (3)		Model (1)		Model (2)		Model (3)
Near	Far	Near	Far	Near	Far	Near	Far	Near	Far	Near	Far
5.964	5.799	4.330	4.298	5.800	5.857	5.962	5.978	4.267	4.228	5.854	5.999
5.963	5.799	4.334	4.298	5.804	5.857	5.966	5.977	4.272	4.228	5.860	6.000
5.799		4.298		5.857		5.929		4.232		5.983

Tissue Model	Reference	$μ_{s}$ $[{mm}^{- 1}]$	g ^a
(1)	van Staveren et al. [40]	5.91	0.731
(2)	Flock et al. [41]	4.28	0.827
(3)	van Staveren et al. [40] and Flock et al. [41]	5.91	0.93

Tissue Model	Intended Application	Pass-Through Transmittance^a	99% Confidence Intervals	Attenuation Coefficient $[{mm}^{- 1}]$	99% Confidence Intervals^b $[{mm}^{- 1}]$
(1)	Characterization	$0.00276 \pm 0.00017$	[0.00232, 0.00320]	5.799	[5.652, 5.972]
(2)	Characterization	$0.01238 \pm 0.00036$	[0.01145, 0.01330]	4.298	[4.226, 4.376]
(3)	Characterization	$0.00260 \pm 0.00014$	[0.00224, 0.00297]	5.857	[5.726, 6.007]
(1)	Imaging	$0.00242 \pm 0.00018$	[0.00196, 0.00288]	5.929	[5.755, 6.141]
(2)	Imaging	$0.01322 \pm 0.00030$	[0.01246, 0.01399]	4.232	[4.176, 4.292]
(3)	Imaging	$0.00229 \pm 0.00014$	[0.00194, 0.00265]	5.983	[5.841, 6.150]

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Journal of the Optical Society of America A