Optical Formulas Tutorial

by
Edition: 2nd
Format: Paperback
Pub. Date: 2005-08-25
Publisher(s): BUTTERWORTH HEINEMANN
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Summary

"Ideal for students preparing to take the ABO certification exam, the ABO Masters exam, or the COT exam and for professionals wishing to quickly brush up on optical formulas. This easy-to-use worktext offers a thorough review of optical formulas, with a wealth of diagrams, definitions, walk-through problems, and answer keys for all exercises. Coverage includes everything from sine, cosine, and tangent to resultant prism and resolving prism to polarized filters and image formation - and much more!"--BOOK JACKET.

Table of Contents

Math Review
Signed Numbers
1(4)
Addition of signed numbers
1(1)
Subtraction of signed numbers
2(1)
Multiplication of signed numbers
3(1)
Division of signed numbers
3(2)
Calculators
5(2)
Significance and Precision
7(1)
Rounding
7(1)
Conversions
8(2)
Metric-metric
8(1)
English-metric
9(1)
Sine, Cosine, Tangent
10(2)
Scientific Notation
12(3)
Addition and subtraction
12(1)
Multiplication
13(1)
Division
14(1)
Theory of Light
Properties of Waves
15(3)
Wavelength
15(1)
Frequency
16(1)
Velocity
16(1)
Amplitude
17(1)
Attributes of waves
17(1)
Wave Formula
18(1)
Diffraction
19(2)
Properties of Rays
21(1)
Photons, rays, pencils, and beams
21(1)
Attributes of rays
21(1)
Vergence
21(2)
Illumination
23(1)
Absorption, Reflection, Refraction
24(1)
Factors affecting refraction
25(1)
Law of Reflection
25(1)
Laws of Refraction
26(1)
Index of Refraction
27(2)
Snell's Law
29(2)
Critical Angle
31(2)
Apparent Depth
33(1)
Apparent Thickness
34(1)
Lateral Displacement
35(1)
Dispersion and Abbe Number
36(2)
Review Questions
38(5)
Lenses
Refraction Through a Lens
43(2)
Convex lens
43(1)
Concave lens
44(1)
Focal Length Formula
45(1)
Diopters
46(1)
Lens Surfaces
47(1)
Lens Types
47(1)
Radius of Curvature
48(1)
Surface Power Formula
48(2)
Nominal Power Formula
50(1)
Lensmaker's Equation
51(1)
Cylinders and Compound Lenses
52(1)
Lens Meridians
53(1)
Optical Cross
54(1)
A sphere
54(1)
A cylinder
54(1)
A toric lens
55(1)
Rx notation
55(1)
Putting the Rx on the Optical Cross
55(7)
Taking the Rx from the optical cross
57(1)
Minus cylinder form
57(2)
Plus cylinder form
59(1)
Cross cylinder form
60(2)
Flat Transposition
62(1)
Cross Cylinder Transposition
63(1)
Hand Neutralization
63(2)
Prescription Notation
65(1)
Circle of Least Confusion
66(3)
Spherical equivalent
68(1)
Refractive Errors
69(4)
Types of ametropia
69(1)
Hyperopia or farsightedness
69(1)
Myopia or nearsightedness
69(1)
Astigmatism
69(1)
Regular astigmatisms
70(1)
Simple astigmatism
70(1)
Compound astigmatism
71(1)
Mixed astigmatism
71(1)
Evaluating the astigmatism
72(1)
With and Against the Rule Astigmatism
73(2)
Power in Oblique Meridians
75(2)
Vertex Distance and Effective Power
77(2)
Effective Power
79(2)
Compensated Power
81(3)
Step-by-step method
81(1)
Full formula method
81(2)
Approximate formula method
83(1)
Back and Front Vertex Power
84(3)
Review Questions
87(6)
Prisms
Prism Definitions
93(1)
Dispersion of light by a prism
93(1)
Object displacement by a prism
93(1)
Prism Power
94(4)
Deviating angle
94(1)
Centrad
95(1)
Prism diopter
95(1)
Relationship between prism definitions
96(2)
Lens as a Prism
98(1)
Image Movement
98(1)
Prentice's Law
99(3)
Determining Overall Prismatic Effects
102(2)
ANSI Standards for Prism: Z80.1-1999
104(3)
Splitting Prism
107(1)
Excessive or Unwanted Prism
107(2)
Excessive or unwanted base-down prism
108(1)
Excessive or unwanted base-up prism
108(1)
Excessive base-out or base-in prism
108(1)
Image Jump
109(1)
Anisometropia
110(1)
Vertical Imbalance
111(1)
Calculating vertical imbalance
111(1)
Bicentric Grinding or Slab-Off
112(2)
Correcting Vertical Imbalance in the Reading Area Using Two Different Segment Styles
114(3)
Vertical Imbalance for Unlike Add Powers
117(3)
Resultant Prism
120(1)
Base Direction and Prism Axis
121(4)
Resolving Prism
125(5)
Non-formula techniques for finding resolving and resultant prism
127(3)
Multiple-Choice Examinations
130(2)
Review Questions
132(5)
Surfacing and Finishing
Lens and Frame Measurements
137(7)
Boxing system
137(1)
Datum system
138(1)
Frame center distance
138(1)
Decentration
138(2)
Effective diameter
140(1)
Segment height and drop
140(1)
Segment inset and total inset
141(3)
Minimum Blank Size
144(1)
Base Curves
145(2)
Base curve selection
145(2)
Toric Transposition
147(1)
Refractive Power Formula
148(1)
Sagittal Depth and Lens Thickness
149(4)
Approximate sag formula
152(1)
Prism Thickness
153(3)
Review Questions
156(5)
Advanced Lens Formulas
Martin's Formula for Lens Tilt
161(2)
Spectacle Magnification
163(5)
Angular Magnification
168(2)
Thompson's Formula for Obliquely Crossed Cylinders
170(2)
Fresnel's Equation for Reflection
172(2)
Anti-Reflective Coatings
174(1)
Transmission Through Absorptive Lenses
175(4)
Polarizing Filters
179(3)
Review Questions
182(3)
Image Formation
Image Size and Placement: Mirrors
185(7)
Image Size and Placement: Thin Lenses
192(3)
Principal Planes
195(4)
Principal plane location in thick lenses
195(4)
Image Size and Placement: Thick Lenses
199(3)
Nodal Points
202(3)
Diagram of the Human Eye
205(1)
Review Questions
206(3)
Appendixes
1. Basic Glossary
209(6)
2. ANSI Standards: Z80.1-1999
215(6)
3. Optical Symbols and Formulas
221(10)
4. Trigonometric Tables
231(2)
5. Oblique Meridian Table
233(2)
6. References
235(2)
7. Answers to Exercises and Review Questions
237
Index

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