Method and system for removing the effects of corneal birefringence from a polarimetric image of the retina
A scanning laser polarimetry (SLP) system that measures retinal nerve fiber layer (RNFL) retardance in a single scan image with improved sensitivity. An external bias retarder in combination with the anterior segment retardance forms a nonzero joint retardance adapted to enhance the signal-to-noise ratio (SNR) of the SLP system. With such a simple bias retarder, the effects of anterior segment retardance (δ C , θ C ) may be removed from a single polarimetric image of the retina without a direct cancellation by a variable corneal compensator (VCC) by the method of this invention. Using a single polarimetric image is particularly advantageous for simplicity and accurate corneal compensation. The simple bias retarder may be embodied as a VCC or any useful external retarder, for example.
1. A machine-implemented method for analyzing the birefringence (δ N , θ N ) of the retinal structure of an eye having a pupil and an anterior segment that includes all regions anterior to the retinal structure, the method comprising the unordered steps of:
(a) producing an optical diagnostic signal having a predetermined polarization state [S 1 ];
(b) disposing a bias retarder such that the joint birefringence (δ J , θ J ) of the bias retarder and anterior segment combination has a nonzero retardance magnitude δ J ;
(c) directing the optical diagnostic signal along a path through the bias retarder, into the pupil and the anterior segment such that the optical diagnostic signal impinges on a selectable region of the retinal structure and reflects therefrom to establish a reflected optical diagnostic signal having a polarization state [S 2 ] representing a total birefringence (δ T , θ T ) along the path;
(d) determining a retartdance magnitude δ N and orientation angle θ N of the retinal structure birefringence (δ N , θ N ) by removing the effects of the joint birfringence (δ J , θ J ) from the total birefringence (δ T , θ T ), said determining step being achieved without having to establish a separate reflected optical diagnostic signal wherein the bias retarder is disposed in a manner to cancel the birefringence of the anterior segment; and
(e) storing or displaying at least one of the determined retardance magnitude δ N and orientation angle θ N .
2. The method of claim 1 further comprising the steps of:
(c.1) producing a first polarimetric image of the retinal structure having a plurality of pixels {S(δ T , θ T )} each representing the total birefringence (δ T , θ T ) of a path to the corresponding selectable region; and
(d.1) computing a second polarimetric image of the retinal structure having a plurality of pixels {S(δ N , θ N )} each corresponding to a first polarimetric image pixel S(δ T , θ T ) from which the effects of the joint birefringence (δ J , θ J ) are removed.
3. The method of claim 2 further comprising the steps of:
(d.1.1) determining the fast axes of a plurality of total retardance angles {θ T } corresponding to a biological feature of the retinal structure in the first polarimetric image; and
(d.1.2) determining a joint birefringence (δ J , θ J ) magnitude and angle corresponding to a plurality of total retardance magnitudes {δ T } corresponding to an annular region of the first polarimetric image.
4. The method of claim 2 further comprising the steps of:
(c.1.1) determining the polarization state [S 2 ] of the reflected optical diagnostic signal;
(c.1.2) producing an electrical analysis signal S(δ T , θ T ) representing the polarization state [S 2 ] of the reflected optical diagnostic signal; and
(c.1.3) storing the electrical analysis signal S(δ T , θ T ) as a pixel of the first polarimetric image.
5. The method of claim 1 further comprising the steps of:
(d.1) disposing the bias retarder to produce a joint birefringence (δ J , θ J ) having a retardance magnitude δ J within the range of 0.04π radians to 0.46π radians.
6. An ophthalmological system for analyzing the birefringence (δ N , θ N ) of the retinal structure of an eye having a pupil and an anterior segment that includes all regions anterior to the retinal structure, the system comprising:
a signal generator for producing an optical diagnostic signal having a predetermined polarization state [S 1 ];
a bias retarder disposed in combination with the anterior segment to produce a joint birefringence (δ J , θ J ) of the combination having a nonzero retardance magnitude δ J ;
an optical assembly for directing the optical diagnostic signal along a path through the bias retarder into the pupil and the anterior segment such that the optical diagnostic signal impinges on a selectable region of the retinal structure and reflects therefrom to establish a reflected optical diagnostic signal having a polarization state [S 2 ] representing a total birefringence (δ T , θ T ) along the path; and
a processor for determining a retardance magnitude δ N and orientation angle θ N of the retinal structure birefringence (δ N , θ N ) by removing the effects of the joint birefringence (δ J , θ J ) from the total birefringence (δ T , θ T ), said determination step being achieved without having to establish a separate reflected optical diagnostic signal wherein the bias retarder is disposed in a manner to cancel the birefringence of the anterior segment.
7. The ophthalmological system of claim 6 further comprising:
a scanning laser polarimeter for producing a first polarimetric image of the retinal structure having a plurality of pixels {S(δ T , θ T )} each representing the total birefringence (δ T , θ T ) of a path to the corresponding selectable region; and
a second processor for computing a second polarimetric image of the retinal structure having a plurality of pixels {S(δ N , θ N )} each corresponding to a first polarimetric image pixel S(δ T , θ T ) from which the effects of the joint birefringence (δ J , θ J ) are removed.
8. The ophthalmological system of claim 7 further comprising:
a third processor for determining the fast axes of a plurality of total retardance angles {θ T } corresponding to a biological feature of the retinal structure in the first polarimetric image; and
a fourth processor for determining a joint birefringence (δ J , θ J ) magnitude and angle corresponding to a plurality of total retardance magnitudes {δ T } corresponding to an annular region of the first polarimetric image.
9. The ophthalmological system of claim 7 further comprising:
a polarimetric analyzer for determining the polarization state [S 2 ] of the reflected optical diagnostic signal;
a detector for producing an electrical analysis signal S(δ T , θ T ) representing the polarization state [S 2 ] of the reflected optical diagnostic signal; and
a memory for storing the electrical analysis signal S(δ T , θ T ) as a pixel of the first polarimetric image.
10. The ophthalmological system of claim 6 wherein the bias retarder is disposed to produce a joint birefringence (δ J , θ J ) having a retardance magnitude δ J within the range of 0.04π radians to 0.46π radians.