- •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
Scanning the plane of the retina yields 2-dimensional and hence 3-dimensional results like an ultrasound’s B-scan.
In Fourier- (also called spectralor frequency-) domain OCT, the reference beam mirror is fixed at one position. Interference fringe patterns, all mixed together, arise from the various tissue interfaces, but Fourier analysis enables them to be dissected apart. When the pattern arises from closer tissue interfaces, the fringe patterns’ undulations are spaced farther apart than those arising from deeper tissue planes, which yield fringes spaced more closely together. The more highly reflective tissue plane interfaces yield higher-amplitude fringe patterns. Thus, the spacing of the fringe pattern tells us how deep in the tissue it comes from, and its amplitude tells us how much the light is reflected by that tissue plane interface. In this manner, the A-scan of all the depths is obtained instantly without moving the reference mirror. Scanning across the retina yields 2-dimensional and hence 3-dimensional images. A swept-source version of the Fourier-domain OCT replaces the superluminescent diode’s band of frequencies with a laser; the laser emits different frequencies, one at a time, and the A-scan is performed for each frequency at each location.
Optical Aids
A variety of optical devices, including handheld and stand magnifiers, high-add spectacles, and telescopes, are available to assist patients with impaired vision and normally sighted individuals.
Magnifiers
The simplest low vision aid is a handheld magnifying glass (Fig 7-35). Lowto medium-power magnifiers can make continuous text reading possible for patients with mild to moderate vision loss. When function is more severely affected, stronger magnifiers may allow for shorter reading periods or for spot reading. However, the smaller field of view requires that the device be moved continuously along the reading material; this limits the feasibility of using a handheld magnifier for reading extended text passages for long periods of time. Newer magnifiers with LED illumination are excellent options for spot reading.
Figure 7-35 Simple hand magnifier. A +4 D lens mounted in a convenient handle, often described as a 2× magnifying
glass. (Courtesy of Scott E. Brodie, MD, PhD.)
The most commonly prescribed powers range between +5 D and +20 D. Above +20 D, the higher magnification and reduced field of view make it more difficult for the patient to maintain a steady focus, although some patients may do very well with a +24 D or +28 D magnifier.
The “power” or “magnification factor” of a magnifier is usually specified in terms of the relative angular size of the magnified image compared with the angular size of the original object at a standard reading distance. Most commonly, the reference distance is taken as 25 cm. In general, the maximal magnification will be obtained when the object to be viewed is placed at the anterior focal point of the magnifier. When the magnifier is used this way, the magnification factor is equal to the dioptric power of the lens divided by 4 (the dioptric equivalent of the reference distance of 25 cm). For example, the power of a +24 D magnifier is 6× (24 D/4 D).
Simple low-power magnifiers (typically around +4 D) are rarely used in this way, as it is difficult to hold a lens steady so far from the page, and this magnification factor convention is no longer appropriate. If such a lens is held with the text at half the distance to the anterior focal point, the virtual image seen by the user will be located at the anterior focal point and will be twice as large as the original text. These magnifiers are often casually described as 2×.
Patients with tremors, arthritis, paralysis, or poor hand–eye coordination often have difficulty holding handheld magnifiers steady as they scan along lines of continuous text. Typically, they will have improved performance with the same lens in a stand magnifier that rests directly on the page (Fig 7-36).
Figure 7-36 An illuminated stand magnifier placed flat against the page provides magnification, illumination, and stability. As with all magnifiers, the field of view decreases with increased magnification. (Courtesy of Darren L. Alb ert, MD.)
Telescopes
Tasks that require magnification for distance viewing are less common than those for near viewing, especially in older patients. Handheld monoculars, binoculars, and spectacle-mounted telescopes are available and allow the benefit of magnification at a greater distance, with the drawback of reduction in field of view, a narrow depth of field, and reduced contrast (Fig 7-37). In addition, patients cannot
wear a telescopic device when walking. Autofocus telescope models are available. A simple telescopic spectacle without a casing is available commercially and has become very popular, as it is lightweight and relatively inexpensive.
Figure 7-37 A, Top: Binocular, spectacle-mounted telescopes are available for prolonged distance tasks, such as watching a play in a theater, and/or near tasks such as reading. Bottom left: A high-power (6×), monocular, handheld Keplerian telescope may be difficult to hold steady and on target because of magnified motion and a narrow field of view. Bottom right: A low-power (2.8×), monocular, handheld Galilean telescope is ideal for intermittent distance tasks such as reading street signs or bus numbers. B, Both hand–eye coordination and training are required for successful use of
telescopic and other visual aids. (Courtesy of Darren L. Alb ert, MD.)
Loupes are spectacle-mounted telescopes set to focus at near points. They can provide an escape from the trade-off between high magnification and short working distance inherent in simple high-add reading glasses. However, the visual field is narrow and the depth of field small.
Bioptic telescopes are spectacle-mounted telescopes set to focus at distance, mounted in the upper portion of the lenses of carrier spectacles. These are allowed in many states for use while driving. The telescopic portion of the spectacles is positioned superior to the line of sight and used only briefly to read signs or look into the distance. The rest of the time, the individual drives looking through the regular prescription portion of his or her spectacles. Driving with a bioptic requires prescription of the device as well as device training and driver training on an individual basis.
Prisms
A variety of designs of prisms have been proposed to compensate for field loss by projecting the visual image onto the functioning portion of the retina or by redirecting the image of the object of regard onto the preferred retinal location (PRL) in patients with central macular dysfunction. Research is currently evaluating the efficacy of such devices compared to, or in conjunction with, training in systematic scanning.
High-Add Spectacles
High-plus reading glasses are an option for patients who can adapt to the closer working distance required. As a starting point, the clinician may estimate the required reading add power by using the
