Key Formulas & Equations
Spherical Equivalent: SE = Sphere + Cylinder/2
Near Addition: Add = Near power - Distance power
Vertex Distance Compensation: Fc = F / (1 - dF)
20/20 Vision: Can read at 20 feet what normal eye reads at 20 feet
Diopter Conversion: 1 diopter = 1/meter; -2.00 D = 50 cm focal length
Magnification: M = Feye / Flens = 25 cm / f
Goldmann Applanation: F = W/A (Force = Weight/Area)
Tonometer Reading: IOP measured in mmHg
Pachymetry Correction: CCT (central corneal thickness) affects IOP reading
Myopia (nearsightedness): Negative diopters (e.g., -3.00 D)
Hyperopia (farsightedness): Positive diopters (e.g., +2.50 D)
Astigmatism: Cylinder correction needed
Presbyopia: Age-related near vision loss (40+ years)
Base Curve: BC = (r1 + r2)/2 (mm)
Tear Lens Power: Ftear = (n - 1)/r (n = 1.336)
Core Concepts
Refraction
The bending of light as it passes through the eye. Errors in refraction (myopia, hyperopia, astigmatism) are corrected with glasses, contacts, or surgery.
Ocular Diseases
Diseases affecting the eye: cataracts, glaucoma, macular degeneration, diabetic retinopathy, and retinal detachment. Early detection is critical.
Binocular Vision
The ability to use both eyes together for depth perception. Disorders include strabismus, amblyopia, and convergence insufficiency.
Contact Lens Practice
Selection, fitting, and follow-up care for contact lenses. Includes soft lenses, rigid gas permeable (RGP) lenses, and specialty lenses.
Low Vision Rehabilitation
Help for patients with irreversible vision loss. Includes magnifiers, telescopic lenses, electronic aids, and adaptive strategies.
Pediatric Optometry
Vision care for children: vision screening, amblyopia treatment, and management of developmental vision problems.
Visual Optics
The study of how light interacts with optical systems, including the eye. Covers lenses, prisms, mirrors, and image formation.
Diagnostic Techniques
Methods for examining the eye: slit lamp, ophthalmoscopy, tonometry, visual field testing, and optical coherence tomography (OCT).
Worked Examples
Example 1: Spherical Equivalent
Problem: Prescription: -2.00 -1.00 ร 180. Calculate spherical equivalent.
Solution:
SE = -2.00 + (-1.00)/2 = -2.00 - 0.50 = -2.50 D
Example 2: Lens Power
Problem: A lens has focal length of 25 cm. Calculate power in diopters.
Solution:
P = 1/f = 1/0.25 = +4.00 D
Example 3: Contact Lens Power
Problem: Spectacle power = -6.00 D, vertex distance = 12 mm. Calculate contact lens power.
Solution:
FCL = -6.00 / (1 - 0.012 ร -6.00) = -6.00 / 1.072 = -5.60 D
Practice Problems
Problem 1
Calculate lens power for focal length of 50 cm.
Answer: P = 1/0.50 = +2.00 D
Problem 2
Calculate spherical equivalent for +1.50 +0.75 ร 90.
Answer: SE = +1.50 + 0.75/2 = +1.875 D
Problem 3
Classify a prescription of -3.00 D.
Answer: Myopia (nearsightedness)
Problem 4
Calculate contact lens power for -4.00 D at 12 mm vertex distance.
Answer: FCL = -4.00 / (1 - 0.012 ร -4.00) = -4.00 / 1.048 = -3.82 D
Problem 5
Identify normal IOP range.
Answer: 10-21 mmHg
Problem 6
Calculate magnification for a +10.00 D lens used at 25 cm.
Answer: M = 25/10 = 2.5ร
Problem 7
What does 20/40 vision mean?
Answer: Patient sees at 20 feet what normal eye sees at 40 feet (reduced acuity)