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71 Cards in this Set

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Brewster's Law
Angle at which light is completely polarized (w/water, polarized horizontally)

tan0=n2/n1
n2 = water or medium
Snell's law
incident and refraction angles must equal 90

n1sin01 = n2sin02

For critical angle, 02=90 and sin(90)=1
What is L and L'?
L=object vergence
L'=image vergence

L'=F+L
Lateral mag related to L and h?
ML = L/L' = h'/h
Power of a single spherical refracting interface (SSRI)
F = (n2-n1)/r
Downstream vergence (vertex if 4D or more)
Fc=F/(1-xF)

Going from CL to spec or vice versa
Equivalent power
Fe = F1 + F2 - (t/n2)F1F2

Used for 2lens combinations such as a thick lens
Back vertex power
Fv = F2 + F1/(1-t/n2F1)

Used for thick lenses. CL's are technically thick lenses so use this if given a thickness.
Front vertex power
Fn = F1 + F2/(1-t/n2F2)
Power of a mirror
F = 2n/r

variation of F = (n2-n1)/r
Equation for converting from power to radius of curvature with a KERATOMETER (calibrated for 1.3375) or CONTACT LENSES (calibrated for 1.336, almost equal).
F = 337.5/r

r is radius of curvature in mm
eg keratometer readout: 45.00 DK
If a lens clock, which is calibrated for an index 1.5, is used to measure the power of a lens (+6.00 D), how do you find the actual power of the lens (n=1.7)?
Use F = (n2-n1)/r

Use equation to find the radius of curvature using calibrated index (1.5) and measured power (+6 D).

Then use equation again with radius and actual index (1.7) to calculate new power.
Sag equation
s = h2/2r

(h squared)
h = 1/2 diameter of lens
r = radius of curvature
Distance is always in meters except for what 2 equations?
1) Prentice's Rule (cm/m)
2) Keratometry (F = 337.5/r) mm
Prentice's law
Prism diopters (triangle) = cm/m
(cm deviated at 1 m)

PD = dF
(h=dist looking away from OC; F=power of lens)
Prism power and apex angle equation
d = A(n-1)

d = deviation angle (degrees)
n = index of prism
A = apex angle
In a lens with nasal and temporal thickness, what is the equation for the prismatic effect at the center of the lens?
Prism diopters = 100g(n-1)/d

g = difference in thickness of the 2 edges
n = index of lens
d = distance across lens (A dimension)
Spectacle magnification (SM)
Shape factor= 1/(1-t/nF1)
Power factor= 1/(1-dFv)

d = vertex distance + 3mm
Know how SM is affected:
increase thickness
increase vertex distance
increase base curve
increase index
increase thickness:
-incr SM (+ lens) and incr SM (- lens)
increase vertex distance:
-incr (+) and decr (-)
increase base curve:
-(F1) incr (+)
increase index:
-decr (+) and (-)
Fresnel's Law for reflection:
definition & equation
Light traveling through a lens is lost at the front and back surface (requires 2 calculations). Shortcut: 4% is lost at each surface.

R = [(n2-n1)/(n2+n1)]squared
Residual astigmatism equation
RA = spec cyl - K cyl
Javal's Rule
Accounts for lenticular astigmatism

spec cyl = 1.25(K cyl) + (-0.50 D x 90)

Average: 0.50 ATR
Stand Magnifier equation

How to find mag?
What happens if move eye closer?
Find total angular mag by:
Multiply lateral mag and RDM

L/L' (going into & out of lens)
d original object / d image (d eo / d ei)

Move eye closer to stand = incr mag
Hand-held magnifier equation

How to find mag?
What happens if move eye closer?
M = d Fe

Fe = power of lens (D)
d = original eye to object dist (m)

If 25 cm reading dist; M = F/4

Manufacturers have agreed to a reference distance of 25 cm. If not 25 cm away, use 25 cm to convert from labeled mag to power (D), then multiply it by new distance

Move eye closer to lens = same mag but incr field of view
How to do telemicroscope calculations
Treat reading cap like hand-held magnifier to find mag (M = 0.25Fe) then multiply cap mag by TS mag

If not at the focal point of the reading cap, then convert reading cap D to mag (power times reading distance in m)
2 equations for telescope mag.
What does 5 x 45 mean?
M = Foc/Fob = dent / dex

dent = diameter of entrance pupil
5x; 45 mm objective lens (entrance pupil)
Vertical polarizers blocks which light rays?
horizontal
For a plus lens, where is the primary and secondary focal point?
Primary: left of lens
Secondary: right of lens
What limits light in an optical systems?
What limits the field of view?
Aperture stop limits light, and the images of it are the entrance pupil and exit pupil. Find the entrance pupil by looking through objective, and that's the image of the aperture stop.

Field stop limits the field of view, and the images of it are the entrance port and exit port.

What kind of cyl is induce for a minus and plus lens with pantoscopic tilt?
Minus lens: axis 180
Plus lens: axis 90
Tolerances of sphere
Below +/- 6.50: 0.13
Above +/- 6.50: 2% of sphere power
Tolerances of cylinder power
Below +/- 2.00: 0.13
2.00 - 4.50 : 0.15
Above 4.50: 4% of cyl power
Tolerances of cyl axis
below 0.25: 14
0.25 - 0.50: 7
0.50 - 0.75: 5
0.75 - 1.50: 3
above 1.50: 2
Physical properties tolerances
thickness
warpage
base curve
impact
thickness: 0.3 mm
warpage: 1.00 D
base curve: 0.75 D
impact: resists 5/8 in steel ball from 50 in
A frame says 54 x 18. What does that mean?
Is B up or down?
Where is Effective diameter?
54 = A (eye size, or lens size)
18 = DBL
A + DBL = frame PD

B is vertical
Eff diameter is the longest point on a lens.
Crown glass
Index
Abbe #
Index - 1.523
Abbe # - 58.9
Heaviest specific gravity
Cr-39
Index
Abbe #
Index - 1.498
Abbe # - 58
Polycarbonate
Index
Abbe #
Index - 1.586
Abbe # - 30
Trivex
Index
Abbe #
Index - 1.53
Abbe # - 43-46
Lightest specific gravity but still heavier than polycarb (polycarb index is higher)
Coma: on or off axis?
off axis only

Comet-shaped or teardrop
spherical aberration: on or off axis?
both
Curvature of field: on or off axis rays?
off axis

Image is curved; outer parts are wrapped around closer to you
Oblique (radial) astigmatism: on or off axis?
off axis

-Reduced by picking correct base curve (Ostwalt from Tscherning ellipse)
-Related to "teacup and saucer" image
Distortion: on or off axis?
off axis

-barrel (-) and pincushion (+)
-reduce w/orthoscopic doublet
Chromatic aberration: on or off axis?
both

Reduce with achromatic doublet (a plus & a minus lens). Power corresponds to ratio of Abbe #.
Aberrations of most concern in ophthalmic lenses (in order)?
oblique astigmatism, curvature of field, distortion
Seg edge to seg optical center (note, drop is from distance optical center to seg top):
Flat top (28 mm or less) -
Flat top (28 mm or less) -
Flat top (larger than 35 mm) -
Curve-top, panoptic, Ribbon-B -
Ribbon R-seg -
Franklin (executive) -
Round segs -
What are these #'s used for?
Flat top (28 mm or less) - 5 mm
Flat top (28 mm or less) - 4.5 mm
Flat top (larger than 35) - 0 (at seg line)
Curve-top, panoptic, Ribbon-B - 4.5
Ribbon R-seg - 7
Franklin (executive) - 0 mm
Round segs - r (radius of the seg)
#'s used to calculate image jump in bifocals (independent of dist Rx)
What do you use for axial ametropes? Refractive? What is this law called?
Axial - spectacles
Refractive - CLs
Knapp's Law - Makes relative spec mag = 1 (reduced induces aniseikonia with ametropia)
Different types of aniseikonia?
Def: difference in size or shape of images between OD & OS

Anatomical - photorec density
Induced - difference in optics (ie spec mag)
Overall - spherically symmetric diff in image size
Meridional - differences in cyl power
How do you counteract large differences in RSM between eyes?
Use a flat lens for the eye with the high RSM and a thicker/steeper lens for the eye with the lowest RSM
How much percent aniseikonia corresponds to 1.00 D difference? When does pt become symptomatic?
1%
3 D
Which eye is used by myope/hyperope for distance and near with anisometropia?
Myopia: uses more myopic eye for near and less myopia eye for distance.

Hyperope: uses less hyperopic eye for both dist & near
0.1 mm change in radius of curvature is equivalent to ___ D
0.50 D
How much cyl can a patient tolerate for WTR and ATR?
WTR: 0.75 D
ATR: 0.50 D
What are the cutoffs for K cyl and lenticular cyl for RGP's?
None: spherical
K less than 2.5: spherical
K more than 2.5: back toric
Lenticular: front toric
K less than 2.5 & lent: front toric
K more than 2.5 & lent: bitoric
How much cyl does a back toric require?
spec cyl 1.5 x K cyl
Describe how to fit a bitoric.

saddle fit
low toric simulation

RA
SPE
If the lens is not a SPE (Spherical Power Effect) and can't rotate w/out problems (RA more than 0.50D), then do a saddle fit.

If not SPE:
-WTR (+/- 30 degrees): try low toric simulation
-Not WTR: saddle fit
Summary for RGP fitting: what numbers do you need to know?
2.5 is cutoff for K cyl (sphere vs bitoric)
RA: no more than 0.75D ATR or 0.50D WTR
Back toric: spec cyl is 1.5 x K cyl
If the eye needs cyl axis 90 and the CL rotates to 70:

How do you compensate?
What do you expect for the O.R.?
LARS: left - add 20

O.R.: halfway between them is 80, 45 degrees away from that on the opposite side of the new axis = 125 degrees. 30 degrees would result in 100% of the cyl power on O.R.; 15 degrees - 50%
Levels of low vision
Normal vision
Near-Normal
Moderate low vision
Severe low vision
Legal blindness
Profound low vision
Near blindness
Blindness
Normal vision: 20/12 - 20/25
Near-Normal: 20/30 - 20/60
Moderate low vision: 20/70 - 20/160
Severe low vision: 20/200 - 20/400
Legal blindness: can't read 20/100, or VF 20 degrees or less in better eye
Profound low vision: 20/500 - 20/1000
Near blindness: worse than 20/1000
Blindness: NLP
What is absolute hyperopia and facultative hyperopia?
Absolute: hyperopia is too large to be neutralized by accomm
Facultative: hyperopia that can be neutralized by accomm
Normal Rx of 5 yo?
About 1 D hyperopia

If more than 1.5, likely will be hyp at 14 yo
If 0.5 - 1.25, will likely be emmetropic
If 0.5, will likely be myopic
Resolution acuity:
Recognition acuity:
Minimum detectable acuity:
Hyperacuity:
Resolution acuity: distinguish pattern (cycles/degree) in uniform patch of equal luminance. Average adult: 40-60 cyc/degree
Recognition acuity: Snellen; resolve high frequencies
Minimum detectable acuity: thinnest possible wire visible (average: 1 arcsec)
Hyperacuity: sense direction; result of higher cortical processing
Nott's method of ret
find where reflex is measured by moving retinoscope behind reading plane. Measure dioptric difference between the 2 for lag. Can't measure if lead.
Mohindra
Near ret done at 50 cm w/an eye occluded in the dark. subtract 1.25 (basically lag of accomm) to get dist Rx.

Cannot identify more than 3 D hyperopia.
Stenopaic slit example:

Example: best when slit is horizontal.
What's the axis?
Horizontal slit: -0.25
Vertical slit: -1.25
Axis: 180

Example: -0.25 -1.00 x 180
On JCC, are the red dots and white dots positive or negative?
Red: positive meridian (or neg axis)
White: negative meridian

This part finds axis and collapses interval of sturm on retina; doesn't change circle of least confusion
Astigmatic clock dial:

How to get axis.
Vertical power makes vert/hor line.
Fog pt, if 12 and 6 clearest, multiply 6 by 30 = axis 180.

Vert = +5 (makes horizontal line)
Hor = +1 (makes vert line)
Duochrome step-down:

How much dioptric difference between green and red. If red, add +/-

Can you do this w/color blindness?
Difference: 0.50 D (red=long=further back toward retina when fogged)

If red "clearer" add minus

Can do w/color blindness.
How much of accomm does a person use comfortably?
Half of amp.
Expected amplitude of accomm according to age (avg & min):
Avg amp of accomm =
18 - 1/3(age)

Minimum amp:
15 - 1/4(age)