Optical Formulas Tutorial

By

  • Ellen Stoner, ABOM, Former Director of Opticianry Program, Durham Technical Community College, Durham, NC

Designed for students and professionals preparing for the ABO certification exam or wishing to quickly brush up on optical formulas, this easy-to-use workbook contains optical formulas, definitions, and walk-through problems with practical examples throughout. Rather than searching through dozens of optics books, readers will find all relevant information here in one source. Coverage includes everything from sine, cosine and tangent to resultant prism and resolving prism to polarized filters - and much more!
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Book information

  • Published: August 2005
  • Imprint: BUTTERWORTH HEINEMANN
  • ISBN: 978-0-7506-7504-8


Table of Contents

Section I: Math Review
Signed Numbers
Calculators
Significance and Precision
Rounding
Conversions
Sine, Cosine, Tangent
Scientific Notation
Section II: Theory of Light
Properties of waves
Wave formula
Diffraction
Properties of Rays
Vergence
Illumination
Absorption, reflection, refraction
Law of reflection
Laws of refraction
Index of refraction
Snell's law
Critical angle
Apparent Depth
Apparent Thickness
Lateral Displacement
Dispersion and Abbé number
Section III: Lenses
Refraction through a lens
Focal length formula
Diopters
Lens surfaces
Lens types
Radius of curvature
Surface power formula
Nominal power formula
The lensmaker's equation
Cylinders, compound lenses
Lens Meridians
Optical cross
Flat transposition
Cross cylinder transposition
Hand neutralization
Prescription notation
Circle of least confusion
Refractive errors
Types of Ametropias
Regular Astigmatisms
With and Against the Rule Astigmatism
Power in oblique meridians
Vertex distance and effective power
Effective power
Compensated power
Back and Front Vertex Power
Section IV: Prisms
Prism definitions
Dispersion of Light by a Prism
Object Displacement by a Prism
Prism Power
Segment Styles
Section V: Surfacing and Finishing
Lens and frame measurements
Boxing System
Datum System
Frame Center Distance
Decentration
Effective Diameter
Segment Height and Drop
Segment Inset and Total Inset
Minimum blank size
Base curves
Toric Transposition
Refractive Power Formula
Sagittal depth and lens thickness
Prism thickness
Section VI: Advanced Lens Formulas
Martin's formula for lens tilt
Spectacle Magnification
Angular Magnification
Thompson's formula for obliquely crossed
cylinders
Fresnel's equation for reflection
Anti-reflective coatings
Transmission through absorptive lenses
Polarizing filters
Section VII: Image Formation
Image size and placement: mirrors
Image size and placement: thin lenses
Principal planes
Image size and placement: thick lenses
Nodal points
Diagram of the human eye
Appendices
1. Basic Glossary
2. ANSI Standards: Z80.1-1999
3. Optical Symbols and Formulas
4. Trigonometric Tables
5. Oblique Meridian (sine-squared method) table
6. References
7. Answer Key