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Characterization of Intraocular Lenses: Different Measurement Methods

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Marie Cherrier, TriOptics GmbH

Intraocular lenses (IOLs) are artificial implants used to replace the human eye crystalline lenses in patients with cataracts. The standard IOL is designed to match the patient’s eye to provide good images of objects at infinity. The tendency is to compensate for all defects of vision so that the patient does not need to wear glasses at all. IOLs that can provide good vision simultaneously for near, intermediate and far distances must be of multifocal or accommodative design.

Powerful measurement systems are required to test these innovative and increasingly complex lenses. The OptiSpheric IOL (Figure 1) and the WaveMaster IOL (Figure 5), both from Trioptics GmbH, feature two measurement principles: a direct imaging setup, as described by the European/ISO 11979 standard, and a Shack-Hartmann wavefront sensor-based measurement system.

Figure 1.
OptiSpheric imaging test bench with tray for several lenses.

What to measure

The most important parameter is the power of the intraocular lens, representing its ability to focus into the retina plane. By measuring the effective focal length (EFL) of the sample, its power can be calculated. The EFL can be measured in air or in situ using a model eye. According to ISO 11979, the model eye consists of a small chamber with plane-parallel plates as top and bottom surfaces, which contain a saline fluid. The IOL is placed inside, and another achromatic lens is used as an artificial cornea lens. With more complex IOLs, manufacturers also are interested in the power map of their lens showing the local power in each point of the lens in addition to the mean power of the IOL.

An important way to characterize the quality of an intraocular lens is to look at its optical aberrations. These can be obtained by measuring the wavefront. The resulting analysis provides information about spherical aberrations, coma, astigmatism and defocus, using Zernike decomposition, as well as field curvature or distortion, using Seidel analysis. It also offers the possibility of quantifying any deviation from the design of the lens.

Another parameter necessary to assess the performance of an IOL is the modulation transfer function (MTF), which describes the ability of an optical system to transfer the details of an object to the image. It can be measured either directly by analyzing the line or point spread function (LSF or PSF) resulting from imaging an ideally infinitesimal thin line or point of light, or by calculating it from the measured wavefront.

Figure 2.
OptiSpheric imaging bench: Setup for measurement in situ. IOL = intraocular lens.

Imaging test bench

The optical setup of the imaging test bench OptiSpheric IOL has been designed in agreement with ISO 11979 (Figure 2). A highly corrected collimator projects the image of a target to infinity. The parallel beam enters the lens under test and emerges from the IOL as a convergent beam focusing in the focal plane. The image of the target is collected by the objective lens of the microscope and is focused on the high-resolution CCD camera. The sample holder is a self-centering mount for testing the IOL in dry conditions or for using a model eye to test in situ. For production test conditions, the instrument is equipped with a complete tray of IOLs in air or in situ.

The effective focal length is calculated from the measured magnification of the sample as proposed in ISO 11979. The target used in this case is a double slit. In the best focus position, the size of the magnified double slit is precisely determined (1/30 pixel accuracy) – and, thus, the EFL and, with it, the power of the lens. The accuracy reached for the measurement of the power is ±0.1 for diopters from 2 to 40, determined by well-known reference lenses certified independently.

Figure 3.
OptiSpheric imaging bench: 2-D display of the MTF with astigmatism axis.

Multifocal lenses usually have several image planes. In Figures 4a and b, the measurement results of an astigmatic lens are shown. In the camera view, the typical behavior can be seen: The first focal plane focuses only the horizontal slit, whereas the second focuses the vertical slit. The intermediate plane images both horizontal and vertical directions. Measuring with cross or square targets enables seeing both focusing directions in one setup.

Figures 4a and 4b.
OptiSpheric, multifocal IOL: Through-focus scan showing two focal planes.

The MTF is determined by using the magnitude of the Fourier transform of the LSF or PSF; i.e., the response of an imaging system to an infinitesimal thin line or point of light. The target used is either a slit or a crosshair. The intensity profile of the target is scanned electronically in both the radial and tangential directions. By using Fourier transform techniques, the MTF is calculated and displayed on the PC monitor in real time. To display two-dimensional MTF and have a description of the lens in all azimuths, a pinhole target can be used in association with a high-resolution, low-noise camera.

Wavefront measurement bench

The WaveMaster IOL is based on the analysis of the transmitted wavefront through the IOL measured with a Shack-Hartmann sensor. Wavefront sensors are well-known for the measurement of the optical characteristics of the eye but also can be used to determine the quality of the IOL lens itself.

Figure 5.
WaveMaster wavefront measurement test bench.

The standard design of a Shack-Hartmann sensor consists mainly of a CCD camera placed in the focal plane of a microlens array. An incoming wavefront is sampled by the lenses of the microlens array, and the foci form a spot pattern on the camera, which would be evenly spaced in case of a plane wavefront. Any aberration introduced by the sample lens leads to a curvature of the wavefront, resulting in small local wavefront tilts. These induce a measurable shift of each focus spot position. An integration of the obtained slope information allows for reconstruction of the wavefront profile with high accuracy.

This instrument employs a high-resolution Shack-Hartman sensor in reverse projection setup. In this configuration, the sample lens is illuminated by a point light source, and the lens pupil is imaged onto the wavefront sensor by means of a telescope system that also magnifies the wavefront for maximum utilization of the sensor area and dynamic range. The point light source is set up by a high-quality, high-numerical-aperture microscope objective lens illuminated by a collimator with fiber input and a fiber-coupled laser light source (Figure 6).

Figure 6.
Infinite conjugate setup for wavefront measurement.

The measured wavefront can be decomposed into a linear combination of Zernike polynomials that describe typical optical properties and errors of a lens or lens system in the exit pupil, including defocus, coma, astigmatism or spherical aberrations. This polynomial decomposition gives access to different kinds of aberrations of the sample. These have basically two sources: aberrations directly linked to the design of the lens, most likely spherical terms, and asymmetric contributions resulting from lens errors.

Using the correlation between the radius of curvature of the wavefront and the Zernike defocus coefficient, the vertical displacement of the point source enables an accurate measurement of the EFL. A series of wavefronts at various focus positions is recorded. By analyzing the change in the defocus term, the overall EFL and power can be precisely determined. In addition, the power map can be calculated directly from the wavefront, which also contains the information about the local EFL for each point inside the lens aperture.

The wavefront measurement and its further analysis also provide a full spatially resolved description of the imaging characteristics of the lens under test. One advantage of using wavefront measurement to determine the MTF of a lens is that the full 3-D information is available. Besides the advantage of getting the spatially resolved information in one measurement, it allows for the determination of the principle axes of the lens.

To answer the new needs evolving from the increase in complexity of the IOLs, optical measurement instruments have improved and widened the range of possible measured parameters as well as available accuracy and speed. The two instruments presented offer complementary parameters for characterization with fast, robust and accurate measurements in both cases. The accuracy of the instruments’ measurement results is traceable to international standards.

Meet the author

Marie Cherrier is product manager for IOL instruments at Trioptics GmbH in Wedel, Germany; e-mail: [email protected].

Oct 2010
A lens aberration that results in the tangential and sagittal image planes being separated axially.
An optical instrument consisting of a well- corrected objective lens or mirror with a light source and or object/image (i.e. illuminated slit or retical) at its focal plane. Collimators are used to calibrate and align optical devices and elements, determine focal lengths, as well as replicate and project an source/object or image to infinity.
A lens aberration, resulting from different magnifications in the various lens zones, that occurs in that part of the image field that is some distance from the principal axis of the system. Extra-axial object points appear as short cometlike images with the brighter small head toward the center of the field (positive coma) or away from the center (negative coma).
A general term referring to the situation in which an image is not a true-to-scale reproduction of an object. The term also is used to connote the temporal alteration of the signal's waveform shape. There are many types of distortion. See also anamorphic distortion; curvilinear distortion; keystone distortion; panoramic distortion; perspective distortion; radial distortion; stereoscopic distortion; tangential distortion; wide-angle distortion.
The organ of vision or light sensitivity.
An instrument consisting essentially of a tube 160 mm long, with an objective lens at the distant end and an eyepiece at the near end. The objective forms a real aerial image of the object in the focal plane of the eyepiece where it is observed by the eye. The overall magnifying power is equal to the linear magnification of the objective multiplied by the magnifying power of the eyepiece. The eyepiece can be replaced by a film to photograph the primary image, or a positive or negative relay...
The processes in which luminous energy incident on the eye is perceived and evaluated.
astigmatismBiophotonicscamerasCCDCCD cameracollimatorcomadefocusdistortioneffective focal lengthEFLeyeFeaturesfield curvatureFourier transformglassesimagingimaging test benchimplantsintraocular lensIOLslensesline spread functionLSFMarie Cherriermeasurement systemsmicrolens arraymicroscopeMicroscopymodulation transfer functionMTFmultifocal lensesoptical aberrationsopticsOptiSpheric IOLpoint spread functionpolynomial decompositionPSFretina planereverse projection setupSeidel analysisSensors & DetectorsShack-HartmannShack-Hartmann wavefront sensorspherical aberrationsTest & Measurementtest benchTriopticsTrioptics GmbHvisionWaveMaster IOLZernike decompositionZernike polynomials

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