- •Contents
- •General Introduction
- •Objectives
- •1 Geometric Optics
- •Rays, Refraction, and Reflection
- •Introduction
- •Point Sources, Pencils, and Beams of Light
- •Object Characteristics
- •Image Characteristics
- •Magnification
- •Image Location
- •Depth of Focus
- •Image Quality
- •Light Propagation
- •Optical Media and Refractive Index
- •Law of Rectilinear Propagation
- •Optical Interfaces
- •Law of Reflection (Specular Reflection)
- •Law of Refraction (Specular Transmission)
- •Normal Incidence
- •Total Internal Reflection
- •Dispersion
- •Reflection and Refraction at Curved Surfaces
- •The Fermat Principle
- •Pinhole Imaging
- •Locating the Image: The Lensmaker’s Equation
- •Ophthalmic Lenses
- •Vergence
- •Reduced Vergence
- •Thin-Lens Approximation
- •Lens Combinations
- •Virtual Images and Objects
- •Focal Points and Planes
- •Paraxial Ray Tracing Through Convex Spherical Lenses
- •Paraxial Ray Tracing Through Concave Spherical Lenses
- •Objects and Images at Infinity
- •Principal Planes and Points
- •Section Exercises
- •Focal Lengths
- •Gaussian Reduction
- •Knapp’s Law, the Badal Principle, and the Lensmeter
- •Afocal Systems
- •Section Exercises
- •Questions
- •Power of a Lens in a Medium
- •Spherical Interface and Thick Lenses
- •Thick Lens
- •Back Vertex Power Is Not True Power
- •Aberrations of Ophthalmic Lenses
- •Third-Order Seidel Aberrations
- •Chromatic Aberrations
- •Avoiding Aberrations
- •Mirrors
- •Reflection From a Plane Mirror
- •Spherically Curved Mirrors
- •Reversal of the Image Space
- •The Central Ray for Mirrors
- •Vergence Calculations for Mirrors
- •Spherocylindrical Lenses
- •Combination of Spherocylindrical Lenses
- •The Conoid of Sturm
- •The Jackson Cross Cylinder
- •Prisms
- •Prism Diopter
- •Prismatic Effect of Lenses and the Prentice Rule
- •Prism Aberrations
- •Fresnel Prisms
- •Chapter Exercises
- •Questions
- •Appendix 1.1
- •Quick Review of Angles, Trigonometry, and the Pythagorean Theorem
- •Appendix 1.2
- •Light Properties and First-Order Optics
- •2 Optics of the Human Eye
- •The Human Eye as an Optical System
- •Schematic Eyes
- •Important Axes of the Eye
- •Pupil Size and Its Effect on Visual Resolution
- •Visual Acuity
- •Contrast Sensitivity and the Contrast Sensitivity Function
- •Refractive States of the Eyes
- •Binocular States of the Eyes
- •Accommodation and Presbyopia
- •Epidemiology of Refractive Errors
- •Developmental Myopia
- •Developmental Hyperopia
- •Prevention of Refractive Errors
- •Chapter Exercises
- •Questions
- •3 Clinical Refraction
- •Objective Refraction Technique: Retinoscopy
- •Positioning and Alignment
- •Fixation and Fogging
- •The Retinal Reflex
- •The Correcting Lens
- •Finding Neutrality
- •Retinoscopy of Regular Astigmatism
- •Aberrations of the Retinoscopic Reflex
- •Subjective Refraction Techniques
- •Astigmatic Dial Technique
- •Stenopeic Slit Technique
- •Cross-Cylinder Technique
- •Refining the Sphere
- •Binocular Balance
- •Cycloplegic and Noncycloplegic Refraction
- •Overrefraction
- •Spectacle Correction of Ametropias
- •Spherical Correcting Lenses and the Far Point Concept
- •The Importance of Vertex Distance
- •Cylindrical Correcting Lenses and the Far Point Concept
- •Prescribing for Children
- •Myopia
- •Hyperopia
- •Anisometropia
- •Clinical Accommodative Problems
- •Presbyopia
- •Accommodative Insufficiency
- •Accommodative Excess
- •Accommodative Convergence/Accommodation Ratio
- •Effect of Spectacle and Contact Lens Correction on Accommodation and Convergence
- •Prescribing Multifocal Lenses
- •Determining the Add Power of a Bifocal Lens
- •Types of Bifocal Lenses
- •Trifocal Lenses
- •Progressive Addition Lenses
- •The Prentice Rule and Bifocal Lens Design
- •Occupation and Bifocal Segment
- •Prescribing Special Lenses
- •Aphakic Lenses
- •Absorptive Lenses
- •Special Lens Materials
- •Therapeutic Use of Prisms
- •Chapter Exercises
- •Questions
- •Appendix 3.1
- •Common Guidelines for Prescribing Cylinders for Spectacle Correction
- •4 Contact Lenses
- •Introduction
- •Contact Lens Glossary
- •Clinically Important Features of Contact Lens Optics
- •Field of Vision
- •Image Size
- •Accommodation
- •Convergence Demands
- •Tear Lens
- •Correcting Astigmatism
- •Correcting Presbyopia
- •Contact Lens Materials and Manufacturing
- •Materials
- •Manufacturing
- •Patient Examination and Contact Lens Selection
- •Patient Examination
- •Contact Lens Selection
- •Contact Lens Fitting
- •Soft Contact Lenses
- •Rigid Gas-Permeable Contact Lenses
- •Toric Soft Contact Lenses
- •Contact Lenses for Presbyopia
- •Keratoconus and the Abnormal Cornea
- •Contact Lens Overrefraction
- •Gas-Permeable Scleral Contact Lenses
- •Therapeutic Lens Usage
- •Orthokeratology and Corneal Reshaping
- •Custom Contact Lenses and Wavefront Technology
- •Contact Lens Care and Solutions
- •Contact Lens–Related Problems and Complications
- •Infections
- •Hypoxic/Metabolic Problems
- •Toxicity
- •Mechanical Problems
- •Inflammation
- •Chapter Exercises
- •Questions
- •Appendix 4.1
- •Transmission of Human Immunodeficiency Virus in Contact Lens Care
- •Appendix 4.2
- •Federal Law and Contact Lenses
- •5 Intraocular Lenses
- •Intraocular Lens Designs
- •Classification
- •Background
- •Optical Considerations for Intraocular Lenses
- •Intraocular Lens Power Calculation
- •Piggyback and Supplemental Intraocular Lenses
- •Intraocular Lens Power Calculation After Corneal Refractive Surgery
- •Instrument Error
- •Index of Refraction Error
- •Formula Error
- •Power Calculation Methods for the Post–Keratorefractive Procedure Eye
- •Intraocular Lens Power in Corneal Transplant Eyes
- •Silicone Oil Eyes
- •Pediatric Eyes
- •Image Magnification
- •Lens-Related Vision Disturbances
- •Nonspherical Optics
- •Multifocal Intraocular Lenses
- •Types of Multifocal Intraocular Lenses
- •Clinical Results of Multifocal Intraocular Lenses
- •Accommodating Intraocular Lenses
- •Intraocular Lens Standards
- •Chapter Exercises
- •Questions
- •Appendix 5.1
- •History of Intraocular Lens Design
- •6 Optical Considerations in Keratorefractive Surgery
- •Corneal Shape
- •Angle Kappa
- •Pupil Size
- •Irregular Astigmatism
- •Application of Wavefront Analysis in Irregular Astigmatism
- •Causes of Irregular Astigmatism
- •Conclusion
- •Chapter Exercises
- •Questions
- •7 Optical Instruments and Low Vision Aids
- •Magnification
- •Telescopes
- •Galilean Telescope
- •Astronomical Telescope
- •Accommodation Through a Telescope
- •Surgical Loupe
- •General Principles of Optical Engineering
- •Terminology
- •Measurements of Performance of Optical Systems
- •Optical Instruments and Techniques Used in Ophthalmic Practice
- •Direct Ophthalmoscope
- •Indirect Ophthalmoscope
- •Fundus Camera
- •Slit-Lamp Biomicroscope
- •Gonioscopy
- •Surgical Microscope
- •Geneva Lens Clock
- •Lensmeter
- •Knapp’s Rule
- •Optical Pachymeter
- •Applanation Tonometry
- •Specular Microscopy
- •Keratometer
- •Topography
- •Ultrasonography of the Eye and Orbit
- •Macular Function Tests
- •Scanning Laser Ophthalmoscopes
- •Scheimpflug Camera
- •Autorefractors
- •Optical Coherence Tomography
- •Optical Aids
- •Magnifiers
- •Telescopes
- •Prisms
- •High-Add Spectacles
- •Nonoptical Aids
- •Electronic Devices
- •Lighting, Glare Control, and Contrast Enhancement
- •Nonvisual Assistance
- •Eccentric Viewing or Fixation Training
- •Instruction and Training
- •Chapter Exercises
- •Questions
- •Appendix 7.1
- •Approach to the Patient With Low Vision
- •8 Physical Optics
- •The Corpuscular Theory of Light
- •Diffraction
- •The Speed of Light
- •The Superposition of Waves
- •Coherence
- •Electromagnetic Waves
- •Polarization
- •Refractive Index and Dispersion
- •Reflection, Transmission, and Absorption
- •The Electromagnetic Spectrum
- •Frequency and Color
- •Energy in an Electromagnetic Wave
- •Quantum Theory
- •Light Sources
- •Thermal Sources
- •Luminescent Sources
- •Fluorescence
- •Phosphorescence
- •Lasers
- •Light–Tissue Interactions
- •Photocoagulation
- •Photoablation
- •Photodisruption
- •Photoactivation
- •Light Scattering
- •Rayleigh Scattering
- •Mie Scattering
- •The Tyndall Effect
- •Radiometry and Photometry
- •Light Hazards
- •Clinical Applications
- •Polarization
- •Interference
- •Diffraction
- •Imaging and the Point Spread Function
- •Image Quality—Modulation Transfer Function
- •Chapter Exercises
- •Questions
- •Appendix 8.1
- •Radiometric and Photometric Units
- •Basic Texts
- •Related Academy Materials
- •Requesting Continuing Medical Education Credit
Figure 5-11 A, Light striking the edge of the IOL may be reflected to another site on the retina, resulting in undesirable dysphotopsias. These problems arise less often with smoother-edged IOLs. B, Light may be internally re-reflected within an IOL, producing an undesirable second image or halo. Such re-reflection may be more likely to occur as the index of refraction of the IOL increases. C, Light may reflect back from the surface of the retina and reach the anterior surface of the IOL. The IOL acts as a concave mirror, reflecting back an undesirable dysphotopsic image. When the anterior surface of the IOL is more curved, the annoying image is displaced relatively far from the fovea. D, When the anterior IOL surface is less steeply curved, the annoying image appears closer to the true image and is likely to be more distracting.(Redrawn b y
C. H. Wooley.)
Davison JA. Positive and negative dysphotopsia in patients with acrylic intraocular lenses. J Cataract Refract Surg. 2000;26(9):1346–1355.
Erie JC, Bandhauer MH. Intraocular lens surfaces and their relationship to postoperative glare. J Cataract Refract Surg. 2003;29(2):336–341.
Franchini A, Gallarati BZ, Vaccari E. Computerized analysis of the effects of intraocular lens edge design on the quality of vision in pseudophakic patients. J Cataract Refract Surg. 2003;29(2):342–347.
Nonspherical Optics
IOLs with more complex optical parameters are now available. It may be possible to offset the positive spherical aberration of the cornea in pseudophakic patients by implanting an IOL with the appropriate negative asphericity on its anterior surface. IOLs with a toric surface may be used to correct astigmatism. Rotational stability may be of greater concern when plate-haptic toric lenses are implanted in the vertical axis than when they are implanted in the horizontal axis. As a toric lens rotates from the optimal desired angular orientation, the benefit of the toric correction diminishes. A properly powered toric IOL that is more than 30° off-axis increases the residual astigmatism of an eye; if it is 90° off-axis, the residual astigmatism doubles. Fortunately, some benefit remains even with lesser degrees of axis error, although the axis of residual cylinder changes. Newer designs are more stable than earlier ones.
Recently, investigators have developed an IOL in which the optical power can be altered by laser after lens implantation. This feature would be useful for correcting both IOL power calculation errors and residual astigmatism.
Mester U, Dillinger P, Anterist N. Impact of a modified optic design on visual function: clinical comparative study. J Cataract Refract Surg. 2003;29(4):652–660.
Multifocal Intraocular Lenses
Conventional IOLs are monofocal and correct the refractive ametropia associated with removal of the crystalline lens. Because a standard plastic IOL has no accommodative power, its focus is essentially for a single distance only. However, the improved visual acuity resulting from IOL implantation may allow a patient to see with acceptable clarity over a range of distances. If the patient is left with a residual refractive error of simple myopic astigmatism, the ability to see with acceptable clarity over a range of distances may be further augmented. In this situation, one endpoint of the astigmatic conoid of Sturm corresponds to the distance focus and the other endpoint represents myopia and, thus, a near focus; satisfactory clarity of vision may be possible if the object in view is focused between these 2 endpoints. In bilateral, asymmetric, and oblique myopic astigmatism, the blurred axis images are ignored and the clearest axis images are chosen to form one clear image for
distance vision; the opposite images are selected for near vision. It is difficult to replicate this process clinically. Thus, even standard IOLs may provide some degree of depth of focus and “bifocal” capabilities.
An alternate approach to this problem is to correct one eye for distance and the other for near vision; this approach is called monovision. Nevertheless, most patients who receive IOLs are corrected for distance vision and wear reading glasses as needed.
Multifocal IOLs are designed to improve both near and distance vision to decrease patients’ dependence on glasses. With a multifocal IOL, the correcting lens is placed in a fixed location within the eye, and the patient cannot voluntarily change the focus. Depending on the type of multifocal IOL and the viewing situation, both near and far images may be presented to the eye at the same time. The brain then processes the clearest image, ignoring the other(s). Most patients, but not all, can adapt to the use of multifocal IOLs.
The performance of certain types of IOLs is greatly impaired by decentration if the visual axis does not pass through the center of the IOL. On the one hand, the use of modern surgical techniques generally results in adequate lens centration. Pupil size, on the other hand, is an active variable, but it can be employed in some situations to improve multifocal function.
Other disadvantages of multifocal IOLs are image degradation, “ghost” images (or monocular diplopia), decreased contrast sensitivity, and reduced performance in lower light (eg, decreased night vision). These potential problems make multifocal IOLs less desirable for use in eyes with impending macular disease.
Accuracy of IOL power calculation is very important for multifocal IOLs because their purpose is to reduce the patient’s dependence on glasses. Preoperative and postoperative astigmatism should be low, given that visual acuity and contrast sensitivity degrade with against-the-rule astigmatism as low as 1.00 D.
Types of Multifocal Intraocular Lenses
Bifocal intraocular lenses
Of the various IOL designs, the bifocal IOL is conceptually the simplest. The bifocal concept is based on the idea that when there are 2 superimposed images on the retina, the brain always selects the clearer image and suppresses the blurred one. The first bifocal IOL implanted in a human was invented by Hoffer in 1982. The split bifocal was implanted in a patient in Santa Monica, CA, in 1990. In this simple design, which was independent of pupil size, half the optic was focused for distance vision and the other half for near vision (Fig 5-12A). This design was reintroduced in 2010 as the Lentis Mplus (Oculentis, Berlin, Germany) and is now showing encouraging results in Europe.
Figure 5-12 Multifocal IOLs. A, Hoffer split bifocal IOL (left) and photograph of a lens implanted in a patient in 1984 (right). B, Bullet bifocal IOL. C, Three-zone multifocal design. D, Multifocal IOL with several annular zones. E, Diffractive multifocal IOL; the cross section of the central portion is magnified (the depth of the grooves is exaggerated). (Photograph
courtesy of Kenneth J. Hoffer, MD; all illustrations redrawn b y C. H. Wooley.)
The additional power needed for near vision is not affected by the AL or by corneal power, but it is affected by the ELP. A posterior chamber IOL requires more near-addition power than does an anterior chamber IOL for the same focal distance. Approximately 3.75 D of added power is required to provide the necessary 2.75 D of myopia for a 14-inch reading distance.
A later design known as the “bullet” bifocal IOL (Fig 5-12B) had a central zone for near power and an outer zone for distance. When the pupil constricted for near vision, its smaller size reduced or eliminated the contribution from the distance portion of the IOL. When the pupil dilated for distance vision, more of the distance portion of the IOL was exposed and contributed to the final image. Importantly, lens decentration could have a deleterious effect on the IOL’s optical performance. A problem with the design itself was that the pupil size did not always correspond to the desired visual task. For this reason, the bullet bifocal IOL fell into disuse.
Multiple-zone intraocular lenses
To overcome the problems associated with pupil size, ophthalmologists developed a 3-zone bifocal lens (Fig 5-12C). The central and outer zones are for distance vision; the inner annulus is for near vision. The diameters were selected to provide near correction for moderately small pupils and distance correction for both large and small pupils.
Another design uses several annular zones (Fig 5-12D), each of which varies continuously in power over a range of 3.50 D. The advantage is that whatever the size, shape, or location of the pupil, all the focal distances are represented on the macula.
Diffractive multifocal intraocular lenses
Diffractive multifocal IOL designs (Fig 5-12E) use Fresnel diffraction optics to achieve a multifocal effect. The overall spherical shape of the surfaces produces an image for distance vision. The posterior surface has a stepped structure, and the diffraction from these multiple rings produces a second image, with an effective add power. At a particular point along the axis, waves diffracted by the various zones add in phase, providing a focus for that wavelength. Approximately 20% of the light entering the pupil is absorbed in this process, and optical aberrations with diffractive IOLs can be troublesome.
Second-generation diffractive multifocal intraocular lenses
Currently, 3 second-generation diffractive multifocal IOLs are available. Each increases the patient’s independence from spectacles and decreases the incidence of optical adverse effects.
The first of these IOLs, the AcrySof ReSTOR IOL (Alcon, Fort Worth, TX), is an apodized diffractive lens (Fig 5-13A). Apodization refers to the gradual tapering of the diffractive steps from the center to the outside edge of a lens to create a smooth transition of light between the distance, intermediate, and near vision focal points. This IOL is now available in an aspheric design. The second design, the ReZoom lens (Abbott Medical Optics [AMO], Santa Ana, CA) (Fig 5-13B), has 5 anterior surface zones for distance and near vision; grading between the zones provides intermediate vision. The third IOL, the TECNIS ZM 900 lens (AMO), adds an aspheric surface, whereas the ReZoom lens does not.
