- •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
Suppose we have several eyes with the same anterior segment and, therefore, the same anterior focal plane determined by that cornea, anterior chamber depth, and lens. We suppose the eyes differ only in their axial lengths, and for each eye, we place at the anterior focal plane whatever power lens is needed to correct the refractive error of that eye, depending on how long the eye is. Knapp’s rule, illustrated in Figure 1-41 says the size on the retina of the image of a distant object is the same for all those eyes, when each one’s corrective lens is in place. Clinical application of this rule is limited. Eyes may have unequal myopia because of differences in their anterior segments rather than in their axial lengths. The retinal photoreceptors may be spaced farther apart in a longer eye, and spectacles are usually worn closer to the eye than the anterior focal point, which is approximately 17 mm in front of the cornea.
Optical Pachymeter
With the optical pachymeter, the thickness of the cornea or the depth of the anterior chamber is measured by lining up prism-split images in the focused slit lamp’s optical section through the eye (Fig 7-24).
Figure 7-24 In the most common type of optical pachymeter, the cornea is illuminated with a slit beam (a). The image is
viewed through a biomicroscope, half through a glass plate orthogonal to the path of light (b) and half through a glass plate rotated through an angle (c). The beam path through the plate is displaced laterally for a distance (d) that varies depending on the angle of rotation. Through the eyepiece (e), a split image is seen (f) wherein half the image comes from the fixed plate and the other half from the rotatable plate. The endothelial surface of one image and the epithelial surface of the other are aligned by the observer by adjustment of the rotatable plate (c), and the corneal thickness measurement is read
off a calibrated scale (g). (Courtesy of Neal H. Ateb ara, MD.)
Applanation Tonometry
The head of the applanation tonometer contains a prism that splits the image of a fluorescing circle of tears to determine when that circle is precisely a certain size (Fig 7-25). Intraocular pressure is inferred from the amount of pressure required to flatten the cornea just enough to create that size circle of tears.
Figure 7-25 The split prism in the applanation head creates 2 offset images. A, When the area of applanation is smaller than 3.06 mm, the arms of the inner semicircles remain some distance apart. B, When the area of applanation is greater than 3.06 mm, the arms of the inner semicircles overlap. C, When the area of applanation is exactly 3.06 mm, the arms of the inner semicircles just touch each other. This is the endpoint for measuring intraocular pressure. The value of 3.06 mm was chosen to approximately balance tear-film surface tension and corneal rigidity. (Courtesy of Neal H. Ateb ara, MD. Redrawn
b y C. H. Wooley.)
Specular Microscopy
Specular microscopy is a modality for examining endothelial cells that uses specular reflection from the interface between the endothelial cells and the aqueous humor. The technique can be performed using contact or noncontact methods. In both methods, the instruments are designed to separate the illumination and viewing paths so that reflections from the anterior corneal surface do not obscure the weak reflection arising from the endothelial cell surface.
Endothelial cells can also be visualized through a slit-lamp biomicroscope, if the illumination and viewing axes are symmetrically displaced on either side of the normal line to the cornea (Fig 7-26). A narrow illumination slit must be used; hence, the field of view is narrow. Photographic recording has been made possible by the addition of a long-working-distance microscope system on the viewing axis and flash capability to the illumination system. Patient eye motion is the chief problem with this
technique.
Figure 7-26 Specular reflection microscopy. When a beam of light passes through the transparent corneal structures, most of the light is transmitted (a). However, at each optical interface, such as the corneal endothelium, a proportion of light is reflected (b). This light (called specular reflection) can be collected to form a relatively dim image of the corneal endothelium (c), where individual endothelial cells can be counted. (Courtesy of Neal H. Ateb ara, MD. Redrawn b y C. H. Wooley.)
In contact specular microscopy, the illumination and viewing paths traverse opposite sides of a special microscope objective, the front element of which touches the cornea. This reduces eye rotation and effectively eliminates longitudinal motion that interferes with focus. Contact specular microscopy allows for higher magnifications than slit-lamp biomicroscopy, making cellular detail and endothelial abnormalities more discernible.
Video recording of endothelial layer images makes it possible to document larger, overlapping areas of the endothelial layer. Also, it allows for the recording of high-magnification images, despite patient eye motion.
Wide-field specular microscopy employs techniques to ensure that reflections from the interface between the cornea and contact element do not overlap the image of the endothelial cell layer. Because scattered light from edema in the epithelium and stroma can degrade the endothelial image, variable slit widths are sometimes provided to reduce this problem.
Analysis of specular micrographs may consist simply of assessment of cell appearance together with notation of abnormalities such as guttae or keratic precipitates. Frequently, cell counts are
desired; these are often obtained by superimposing a transparent grid of specific dimensions on the endothelial image (photograph or video) and simply counting the cells in a known area. Cell-size distribution can be determined by computer analysis after cell boundaries have been determined digitally. The normal cell density in young people exceeds 3000 cells/mm2; the average density in the older age group susceptible to cataract is 2250 cells/mm2, which suggests a gradual decline with age.
Specular microscopy has been important in studying the morphology of the endothelium and in quantifying damage to the endothelium produced by various surgical procedures and intraocular devices.
Keratometer
The keratometer is used to measure the curvature of the central outer corneal surface by measuring the size of a reflected image in each meridian (or only in the meridians of greatest and least curvature). The measurement is accomplished by lining up prism-doubled images at a distance regulated by sharpness of focus (Fig 7-27). This measurement is performed at only one diameter, 3 mm, in a limited choice of meridians, and is therefore lacking the detail provided by more elaborate topography.
Figure 7-27 Two prisms placed base to base produce doubled images separated by a fixed distance that are not affected by small movements of the eye. The observer varies the object size (ie, the distance between the red and green objects)
