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1From the Harvard Medical School and Wellman Center of Photomedicine, Massachusetts General Hospital, Boston, Massachusetts; and 2Massachusetts Eye and Ear Infirmary and Harvard Medical School, Boston, Massachusetts.
| Abstract |
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METHODS. PS-OCT scans around the optic nerve head (ONH) of two healthy young volunteers were made using 10 concentric circles of increasing radius. Both the mean RNFL thickness and mean retinal nerve fiber birefringence for each of 48 sectors on a circle were determined with data analysis.
RESULTS. Both the RNFL thickness and birefringence varied as a function of sector around the ONH. The RNFL became thinner with increasing distance from the ONH. In contrast, the birefringence did not vary significantly as a function of radius.
CONCLUSIONS. Birefringence of healthy RNFL is constant as a function of scan radius but varies as a function of position around the ONH, with higher thickness values occurring superior and inferior to the ONH. Measured double-pass phase retardation per unit depth around the ONH ranged between 0.10 and 0.35 deg/µm, equivalent to birefringences of 1.2 x 104 and 4.1 x 104 respectively, measured at a wavelength of 840 nm. Consequently, when a spatially constant birefringence around the ONH is assumed, the conversion of scanning laser polarimetry (SLP) phase-retardation measurements to RNFL thickness may yield incorrect values. The data do not invalidate the clinical value of a phase-retardation measurement, but affect the conversion of phase retardation to RNFL thickness.
New instruments have been introduced that determine RNFL thinning. For example, optical coherence tomography (OCT) can produce structural cross sections of the human retina and RNFL.2 Variations in optical scattering and absorption allow differentiation between the different layers of the retina. A limitation in RNFL thickness determination by OCT is the axial resolution of approximately 10 µm with conventional OCT systems.3 The difference between high-resolution optical coherence tomography (HR-OCT) and conventional OCT is that HR-OCT uses a light source with a particularly large optical bandwidth, allowing for RNFL thickness measurements with an accuracy of up to 3 µm.4 However, current ultrabroadband sources are expensive and complex, and because the signal-to-noise ratio of an OCT system is inversely proportional to the detection bandwidth and thus to the source bandwidth, a reduction in acquisition speed is necessary, making HR-OCT less appealing for routine examination.
In scanning laser polarimetry (SLP), the retina in and around the optic nerve head (ONH) is probed with polarized light to detect RNFL phase retardation, which is converted to RNFL thickness.5 6 The RNFL is slightly birefringent because of its ordered structure,7 but birefringence is absent in layers that are located below the RNFL, including the ganglion cell layer. Birefringent elements in the eye, such as the cornea and the RNFL, change the polarization state of the incident light. The polarization state of light that is reflected from all retinal structures and that has double passed the RNFL is compared with the input polarization state. Assuming that RNFL birefringence is constant as a function of location and is constant between subjects, RNFL thickness can be calculated from the measured change in the polarization state or the phase retardation of the reflected light.
Polarization-sensitive optical coherence tomography (PS-OCT) combines the depth resolution of OCT with the polarization sensitivity of SLP to image the depth-resolved optical birefringence of biological tissue.8 9 10 11 12 13 We hypothesize that glaucomatous loss of nerve fiber tissue may be preceded by a change in birefringence, since it is suspected that disintegration of the nerve fiber mesh leads to a change of RNFL birefringence. Such a change in birefringence compared with normal levels could be an early sign of glaucomatous atrophy of the RNFL. Experimentsfor instance, a longitudinal study with PS-OCT on patients at high-risk for development of glaucomawill either confirm or reject this hypothesis. In addition, PS-OCT may enhance specificity in determining RNFL thickness in structural OCT images by using changes in tissue birefringence to determine the border between the RNFL and ganglion cell layer. Since corneal birefringence changes the incident polarization state unpredictably,14 the RNFL surface is used as a reference in the PS-OCT phase retardation calculation. Therefore, our method is insensitive to corneal birefringence.12 13 In SLP one can compensate for this effect by use of a variable cornea compensator (VCC).15
Phase retardation is related to birefringence and RFNL thickness according to the following equation: phase retardation = RNFL birefringence x RNFL thickness. In PS-OCT and SLP the light that scatters back double passes the RNFL before it is detected, which changes the equation to: double-pass phase retardation (DPPR) = RNFL birefringence x 2 x RNFL thickness.
The first in vitro RNFL birefringence measurements were reported by Weinreb et al.5 With SLP they measured two fixed primate eyes with the anterior segments removed and correlated the measured phase retardation with RNFL thickness histology measurements. They found a typical double-pass phase retardation per unit depth (DPPR/UD) of 0.27 deg/µm. In prior studies, in vivo PS-OCT measurements were performed on the retina of one healthy subject.12 13 RNFL thickness and depth-resolved birefringence measurements that were obtained in four blocks around the ONH demonstrated that the birefringence or DPPR/UD is not constant, but varies between 0.18 and 0.37 deg/µm (de Boer JF, et al. IOVS 2003;44:ARVO E-Abstract 239). Huang et al. (IOVS 2003;44:ARVO E-Abstract 235) determined RNFL birefringence using an indirect method combining SLP phase retardation measurements and OCT thickness measurements obtained from healthy volunteers in vivo. Assuming that the measuring beam double passed the RNFL, they found a mean DPPR/UD of 0.37 ± 0.02 deg/µm. In addition, they found that the birefringence varied along a circular path around the ONH, but did not vary as a function of radius or along fiber bundles.
In this study, we obtained detailed RNFL thickness and birefringence measurements in two healthy subjects in vivo. In addition, the accuracy of the system was assessed based on multiple measurements in one of these volunteers. Because the peripapillary RNFL is the most sensitive to changes induced by glaucoma, measurements were obtained in concentric circles around the ONH. This allows determination of the relationship between RNFL thickness and birefringence, and it also gives information on the homogeneity of RNFL birefringence.
| Materials and Methods |
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Data Analysis
For the RNFL thickness analysis, structural intensity OCT images were corrected for axial motion artifacts, according to a method described by Swanson et al.19 OCT intensity images were gray-scale encoded on a logarithmic scale, with a white pixel representing low reflectivity and a black pixel indicating high reflectivity. To reduce the influence of speckle noise (grainy noise caused by interference of coherent light), a moving-average filter with a length of
10 µm was applied in the axial direction. The image of a circular scan was projected as a B-scan and divided into 48 sectors of 32 A-lines, each covering 7.5° of the circular scan starting temporal to the ONH and analyzed with a custom-made program written in commercial software (Visual C++; Microsoft Corp., Redmond, WA).11 12 In Figure 2 , two examples of a combined thickness and birefringence measurement are given, one of a sector temporal to the ONH (Fig. 2A) , the other of a sector superior to the ONH (Fig. 2B) . In these plots, the intensity and double-pass phase retardation averaged over a sector are plotted as a function of depth. A least-squares fit through data points considered to belong to the RNFL is used to calculate the birefringence or DPPR/UD of the RNFL. The RNFL thickness can be determined in two ways. First, a decrease in intensity is a sign of the lesser light-scattering ganglion cell layer and inner plexiform layer deep to the highly light-scattering RNFL tissue. Second, a transition from linearly increasing double-pass phase retardation to a constant level indicates a change from birefringent tissue to tissue without birefringence. The combination of these two methods helps in accurately determining the RNFL boundary. Figure 2 also demonstrates that the RNFL was birefringent, and the retinal layers below the RNFL were not. The birefringence or DPPR/UD is solely determined from the slope of the linear fit through RNFL data points in the double-pass phase retardation plot, which makes this method less dependent on an accurate thickness measurement.12 13
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| Results |
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PS-OCT Intensity Images
Figure 3 is a typical example of a structural-intensity OCT image of the retina in the left eye of volunteer 1 obtained with a circular scan with a radius of 2.1 mm around the ONH. The image measures 13.3 mm wide and 0.9 mm deep and is shown at an expanded aspect ratio in depth for clarity. The dynamic range within the intensity image was approximately 36 dB. For this particular image, speckle noise was removed in each A-line with a moving average filter with a length of
7 µm in the axial direction. At the left (Fig. 3) , the scan starts temporal to the ONH. Structural layers such as the RNFL, the interface between the inner and outer segments of the photoreceptors, and the RPE can be seen.4
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Thickness.
In Figure 5A , RNFL thickness is plotted as a function of sector and scan radius around the ONH of the left eye of volunteer 1. The smallest scan had radius on the retina of 1.5 mm, whereas the largest scan had a radius of 2.6 mm. The different plots demonstrate that an increased distance from the ONH was associated with a thinner RNFL. The thickness variation pattern with higher thicknesses inferior and superior was largely constant as a function of radius. This consistent RNFL thickness pattern can be explained by the fact that most nerves from the retina and fovea enter the ONH inferiorly and superiorly. The data set of volunteer 2 (Fig. 5B) showed characteristics similar to those of the data set of volunteer 1. One major difference is that the RNFL was thickest superior to the ONH of this volunteer.
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Birefringence.
The same data sets of volunteers 1 and 2 that were used for the thickness mapping in Figure 5 were analyzed for birefringence information. All measurements per sector of 10 circular scans with increasing radius were plotted as a function of sector. In Figures 6A and 6C (with Fig. 6A containing data of volunteer 1 and volunteer 2 in Fig. 6C ) each of 48 measurements at a certain radius is labeled with the same symbol. The mean value per sector and its standard error were plotted and neighboring means were connected with a line. The standard error can be found by dividing the standard deviation by the square root of the number of measurements per sectorin this case, the square root of 10. Averaging over sectors from different radii yields incorrect values when there is a trend as a function of radius. To demonstrate whether averaging is permitted, data sets obtained at different radii were compared with each other. The data in Figure 6 were low-pass filtered with a fast Fourier transform (FFT)based filter that retained the lowest nine Fourier components. The processed data sets of volunteers 1 and 2 are displayed in Figures 6B and 6D . Thick lines represent filtered data of circular scans closer to the ONH and scans farther away are marked with thinner lines. The processed data set of volunteer 1 indicate an increase of DPPR/UD in the RNFL bundles superiorly and inferiorly around sectors 16 and 36, although a similar trend was not found inferiorly around sector 32. In the data set of volunteer 2, a similar trend was found in the RNFL bundle superiorly. These trends indicate that the means, as displayed in Figures 6A and 6C , do not represent the scans close and far away from the ONH. No trend was observed in the other sectors, which permitted the averaging over sectors.
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To determine the reliability of the birefringence measurements, three scans repeated with the same radius of 1.8 mm were analyzed. All three scans were obtained in the same eye of volunteer 2 during one measurement session. Figure 7 shows the average RNFL thickness plot combined with a plot of the average DPPR/UD and standard error of the average DPPR/UD to demonstrate the dependence of the DPPR/UD standard error on RNFL thickness. The average standard error in DPPR/UD is approximately ±0.03 deg/µm, except for the thin nasal area, in sectors 20 to 30, where the thickness is below 75 µm. In this area, the average standard error is estimated to be ±0.10 deg/µm. The standard error was found by dividing the SD with the square root of the number of measurements, in this case the square root of 3. The standard errors of Figure 7 (n = 3) and Figure 6 (n = 10) are equivalent.
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Both volunteer 1 and 2 had lower DPPR/UDs (
0.10 deg/µm) temporal to the ONH, a value equivalent to a birefringence of 1.2 x 104, measured at a wavelength of 840 nm. Compared with the birefringence of a well-known birefringent material such as collagen, this value is approximately 10 times lower.20 Superior and inferior higher DPPR/UDs of
0.35 deg/µm, equivalent to a birefringence of 4.1x104, were noted.
| Discussion |
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0.35 deg/µm) occurring inferiorly and superiorly. In SLP, a constant birefringence or DPPR/UD is used as a conversion factor to convert measured DPPR to RNFL thickness. Because DPPR/UD varies as a function of sector, SLP phase retardation to thickness conversion does not yield accurate RNFL thicknesses in all sectors. Our DPPR/UD measurement does not rely on an accurate determination of the RNFL thickness. The DPPR/UD is determined from the slope of the phase retardation with depth as determined from a PS-OCT depth-resolved phase-retardation measurement.
Weinreb et al.5 found a correlation between RNFL thickness and phase retardation at different locations in the primate retina, but they did not consider different birefringences as a function of sector, which could explain the considerable variation around the regression line.
Although the RNFL thickness of young healthy subjects may not be measured accurately with SLP, RNFL thinning induced by glaucoma changes the amount of phase retardation, which can be detected with SLP. In addition, phase-retardation changes caused by a change in RNFL birefringence, as we hypothesized earlier, is detected with SLP. With SLP, the combined effect of RNFL thickness and birefringence is measured as a DPPR of the RNFL, which makes it impossible to separate thickness from birefringence. SLP is sensitive to a combination of birefringence change and thickness change. PS-OCT measures RNFL thickness and the depth-resolved birefringence simultaneously. Our data do not invalidate the clinical value of a phase-retardation measurement, such as is obtained with SLP, but affects the conversion of phase-retardation to RNFL thickness.
| Conclusions |
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| Footnotes |
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Submitted for publication October 21, 2003; revised January 21, March 16, March 26, April 8, and April 12, 2004; accepted April 19, 2004.
Disclosure: B. Cense, None; T.C. Chen, None; B.H. Park, None; M.C. Pierce, None; J.F. de Boer, (P)
The publication costs of this article were defrayed in part by page charge payment. This article must therefore be marked "advertisement" in accordance with 18 U.S.C.
1734 solely to indicate this fact.
Corresponding author: Johannes F. de Boer, Massachusetts General Hospital, Bartlett 726, 50 Blossom Street, Boston, MA 02114; deboer{at}helix.mgh.harvard.edu.
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