- •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
vision correction. These cases can be identified via spherocylinder refraction over the contact lens. However, against-the-rule lenticular astigmatism is probably present when against-the-rule refractive astigmatism (adjusted to reflect the power at the corneal surface) exceeds the keratometric corneal astigmatism. Such eyes may have less residual astigmatism when the refractive error is corrected with soft rather than rigid spherical contact lenses if the corneal astigmatism is compensating for lenticular astigmatism.
For example, consider a patient whose refraction is –3.50 –0.50 × 180 and K measurements of the affected eye are 42.5 D (7.94 mm) horizontal and 44.0 D (7.67 mm) vertical. Would a soft or rigid contact lens provide better vision (ie, less residual astigmatism)? The disparity between the corneal astigmatism of 1.50 D and the refractive astigmatism of 0.50 D reveals 1.00 D of against-the-rule lenticular astigmatism that neutralizes a similar amount of with-the-rule corneal astigmatism. Neutralizing the corneal component of the refractive astigmatism with a rigid contact lens exposes the lenticular residual astigmatism. Therefore, a spherical soft contact lens would provide better vision because the residual astigmatism is 1.00 D for a rigid contact lens.
Correcting Presbyopia
Correcting presbyopia with contact lenses can be done in several different ways:
reading glasses over contact lenses
alternating vision contact lenses (segmented or annular)
simultaneous vision contact lenses (aspheric [multifocal] or diffractive) monovision
From an optical point of view, the use of reading glasses or alternating vision contact lenses is similar to standard spectacle correction for presbyopia. Simultaneous vision contact lenses direct light from 2 points in space—one near, one far—to the retina, resulting in a loss of contrast. Distant targets are “washed out” by light coming in through the near segment(s), and near objects are “washed out” by light coming in through the distance segment(s). Monovision allows one eye to have better distance vision and the other to have better near vision, but this arrangement interferes with binocular function, and the patient then has reduced stereopsis. For these reasons, it is important to fully explain the options to contact lens wearers with presbyopia. As previously demonstrated, it is important to explain to a new contact lens wearer with presbyopia and myopia that he or she may need near correction or one of the other aforementioned options when presbyopic correction with the spectacles had not previously been required. The contact lens correction of presbyopia is discussed in greater detail in the section Contact Lenses for Presbyopia.
Kastl PR, ed. Contact Lenses: The CLAO Guide to Basic Science and Clinical Practice. 4 vols. Dubuque, IA: Kendall-Hunt; 1995.
Contact Lens Materials and Manufacturing
Various materials have been used to make contact lenses. The choice of material can affect contact lens parameters such as wettability, oxygen permeability, and deposits on the lens. In addition, material choice affects the flexibility and comfort of the lens and the stability and quality of vision.
Manufacturing techniques primarily address the ability to make reproducible lenses in a costeffective manner.
Materials
Contact lens materials can be described in terms of flexibility (hard, rigid gas-permeable [RGP], soft, or hybrid). The first popular corneal contact lenses were made of PMMA, a plastic that is durable but not oxygen permeable. Gas-permeable materials are rigid but usually more flexible than PMMA. RGP lenses allow some oxygen permeability (Dk); this factor may vary from Dk 15 to more than Dk 100. This feature has allowed some RGP lenses to be approved for overnight or extended wear. Currently, most RGP lenses are made of silicone acrylate. This material provides the hardness needed for sharp vision, which is associated with PMMA lenses, and the oxygen permeability associated with silicone. Despite advances, wettability still poses a challenge (Fig 4-7).
Figure 4-7 The wettability of a lens surface determines whether a wetting angle will be low (greater wettability, greater
comfort) or high (less wettability, less comfort). (Modified with permission from Stein HA, Freeman MI, Stein RM. CLAO Residents Contact Lens Curriculum Manual. New Orleans: Contact Lens Association of Ophthalmologists; 1996. Redrawn b y Christine Gralapp.)
The newest lenses are made of fluoropolymer, which provides greater oxygen permeability than does PMMA. Disadvantages of fluoropolymer lenses are rigidity and discomfort.
The gas permeability of a material is related to (1) the size of the intermolecular voids that allow the transmission of gas molecules, and (2) the gas solubility of the material. Silicon monomers are the most commonly used materials because their characteristic bulky molecular structure creates a more open polymer architecture. The addition of fluorine increases the gas solubility of polymers and somewhat counteracts the tendency of silicon to bind hydrophobic debris (such as lipid-containing mucus) to the contact lens surface. In general, polymers that incorporate more silicon offer greater gas
permeability at the expense of surface biocompatibility.
Soft contact lenses are typically made of a soft hydrogel polymer, hydroxyethylmethacrylate. The surface characteristics of hydrogels can change instantaneously, depending on their external environment. When hydrogel lenses are exposed to water, their hydrophilic elements are attracted to (and their hydrophobic components are repelled from) the surface, which becomes more wettable. However, drying of the surface repels the hydrophilic elements inward, making the lens surfaces less wettable. The hydrophobic surface elements have a strong affinity for nonpolar lipid tear components through forces known as hydrophobic interactions. Such interactions further reduce surface wettability, accelerate evaporative drying, and compromise the clinical properties of soft lenses.
The oxygen and carbon dioxide permeability of traditional hydrogel polymers is directly related to their water content. Because tear exchange under soft lenses is minimal, corneal respiration depends almost entirely on the transmission of oxygen and carbon dioxide through the polymer matrix. Although the oxygen permeability of hydrogel polymers increases with water content, so does their tendency to dehydrate. To maintain the integrity of the tear compartment and avoid corneal epithelial desiccation in dry environments, these lenses are made thicker, thereby limiting their oxygen transmissibility.
High-oxygen-permeability, low-water-content silicone hydrogels are used for extended wear. The oxygen transmission of these lenses is a function of their silicon (rather than water) content and is sufficient to meet the oxygen needs of most patients’ corneas during sleep. The surfaces of these lenses require special coatings to mask their hydrophobic properties. Other clinically important properties of contact lens hydrogels include light transmission, modulus (resistance to flexure), rate of recovery from deformation, elasticity, tear resistance, dimensional sensitivity to pH and the osmolality of the soaking solution and tears, chemical stability, deposit resistance, and surface waterbinding properties.
Manufacturing
Several methods are used to manufacture contact lenses. Some contact lenses are spin-cast, a technique popularized with the first soft contact lenses. In spin-casting, the liquid plastic polymer is placed in a mold that is spun on a centrifuge; the shape of the mold and the rate of spin determine the final shape of the contact lens. Soft contact lenses can also be made on a lathe, starting with a hard, dry plastic button; this method is similar to the way that RGP lenses are made. Once the soft lens lathe process is complete, the lens is hydrated in saline solution to create the characteristic softness. Lathes may be either manually operated or automated. In either case, manufacturers can create very complex, variable shapes that provide correction for many different types of refractive error; lenses can even be customized to meet individual needs.
Following the introduction of disposable contact lenses—and thus the need to manufacture large quantities of lenses—cast molding was developed. In this technique, different metal dies, or molds, are used for specific refractive corrections. Liquid polymer is injected into the mold and then polymerized to create a soft contact lens of the desired dimensions. This process is completely automated from start to finish, enabling cost-effective production of large quantities of lenses.
Scleral contact lenses have very large diameters and touch the sclera 2–4 mm beyond the limbus. They have been available for years, but because they were originally made of PMMA—and thus were oxygen impermeable—the lenses were not comfortable. With the use of newer RGP materials, interest in these lenses has resurfaced, especially for patients with abnormal corneas. Scleral contact
