optics Flashcards
BIO vs DO
- monocular/binocular
- FOV
- Mag
- image
- WD
- influence of RE
- DOF
- uses of DO
Bruckner - what do the results mean?
Brighter reflex: Strap, amblyopia, higher RX
Darker reflex: opacity, normal
how does an ophthalmoscope work?
note that the image the retina sees is upside down and the brain flips ie. think VF defects
The image is then focused in front of the examiner and now is the new object (virtual) for the Dr.
lenses then help to focus the image on the Dr’s retina
On BIO, the BIO itself virtual object into a real inverted image. In order to see this image we need another lens ie. the 20 D lens
How does a lensometer work?
It measures the back vertex power of a lens.
The lenometer is made up of a test lens (what we are looking for) + a known standard lens + TS + a moveable target.
We move the dial in order to move the target so that light from the STD lens converges at the primary focal point of the test lens. CAP FAM. This allows for parallel light rays to leave the test lens and the TS system so that parallel light enters our eye allowing us to see the target.
Hand neutralization
(-) lens = WM
(+) lens = AM
Emmetropic Dr w/ DO to see pt’s retina dials in -4.00 D lens to view the retina clearly. What’s the patient’s RE?
Lensometer- using a +25.00 D STD lens. To achieve focus, we move the target 2.00 mm forward. What is the back vertex power being tested?
A prescription calls for 3 PD BO OD. How should the lens be centered in the lensometer (before edging) for verification?
The readout on a keratometer = 45.25 Dk. What is the radius of curvature of the cornea?
You use a lens clock calibrated w/ n=1.5. You want to measure the power of a lens made from ,material n =1.7. The power readout of the lens clock is +6.00 D. What is the actual power of the lens?
The front surface of a lens is measured with a lens clock. The lens clock shows a value of +6.00 D based on an assumed index of 1.53. What is the radius of curvature of the lens surface?
Suppose you have a CR-39 plastic lens with a radius of curvature of 0.0883m. What is the front surface refractive power of this lens?
Use the conversion factor for polycarbonate to find the front surface refractive power for the front surface of a polycarbonate lens. The lens clock measures a true power of +8.12 D for the lens.
A lens clock is used on the front and back surfaces of a lens. The front surface is +2.00 D. The back surface is -6.87 D in the 90 degree meridian and -6.00 in the 180 degree meridian. The lens has an index of refraction of 1.66. What is the power of the lens expressed in minus cylinder form?
What is the nominal approximate power of a 1.66 index ophthalmic lens with the following clock readings?
front surface meridian 180 = +3.00 D
Back surface meridian 060 = -10.50 D
Back surface meridian 150 = -7.25 D
What is the lens material of a lens clock calibrated for 1.53 measures the surface of a +5.75 DS refractive surface and produces a clock reading of +6.12 D?
A -1.00D trial lens was placed in front of the keratometer and used to measure both the principal meridians. The keratometer reads 45.12 D in the 45 degree meridian and 49.87D in the 135 degree meridian. How do you record the amount of corneal astigmatism and the type of astigmatism?
Calculate the predicted Refractive astigmatism for a 35 year old with a keratometry of 45.00/47.00 @ 090
Calculate the predicted refractive astigmatism for a 25 year old with a keratomtery of 41.25/41.50 @ 090
calculate the predicted refractive astigmatism for a 33 year old with a keratometry of 45.37/43.75@ 090
When you measure the base curve of an RGP lens/ The first clear image you see is at 2mm. The second clear image you see is at 8.3 mm. What is the base curve of your cls?
calculate the predictive refractive astigmatism of a 42 year old with a keratometry of 44.37/45.75 @ 085.
Your pt with a stargardt macular dystrophy can see 10/100 and you want them to be able to see 10/20. What telescope do you begin testing with?
What is the magnification of a TS with an entrance pupil of 24mm and an exit pupil of 6 mm? what does this mag tell use about the image?
A doctor with emmetopia uses a direct ophthalmoscope to view the patient’s retina. The clinician dials in a -4.00 D lens in order to view the retina clearly. What is the patient’s RE ( assuming she is uncorrected?)
power of the lens in DO = PT’s RX + Doctor’s RX.
-4.00 D = pt’s rx + 0
Pt’s rx = -4.00 D
Let’s say we are using a +25.00 STD lens. To achieve approximate focus, we must move the target on the lensometer 2.0 mm forward. What is the back vertex power of the lens being tested?
X = f^2(Fv)
+.002m = (1/25D)^2(Fv)
Fv = +1.25 D
How does a radioscope work?
This measures the radius of curvature/back vertex power of a rigid gas permeable cls lens.
When looking through the radioscope we see 3 images.
first image when clear is the power at the surface of the lens
filament
the second clear image is the power located at the center of curvature of the cls lens.
In order to find the base curve we take the difference between the 2 images.
We are measuring the power of an unknown lens using hand neutralization. With a +5.00 D lens on top of the unknown lens we get no motion. What is the power of the unknown lens?
Lunknown + Lknown = No motion (0)
Lunknown + (+5.00) = 0
unknown lens = -5.00 D
How does a keratometer work?
see image
A keratometer measures the radius of curvature/ power of the center of the cornea at different axes.
It converted the radius to curvature to D assuming that the retractive index of the cornea is 1.33.
ie. uses the equation:
F = (n’-n)/r
How can you expand the range of the keratometer by 8.00 D?
add a +1.25 D lens over the aperture on the patient’s side.
The readout on a keratometer is 45.25 Dk. What is the radius of curvature of the cornea?
F = 337.5/r (mm)
45.25 = 337.5/ r
r = 7.46 mm
How does a lens clock work?
NOTE: directly measures the SAG.
What are the parts of the slit lamp biomicroscope?
eyepiece = keplarian ts
a galilean Ts magnifies the image more.
Know the slit lamps magnify images.
Why does a higher powered fundus lens result in less magnification?
The funduss lens creates a keplarian (+ ocular and + objective lens) TS system.
with the lens being the objective lens and the cornea being the ocular lens.
to calculate the magnification it is similar to calculating the mag of a ts
Mag = - Foc/Fobj = - Fcornea/Flens
F cornea = +60 D
know that the higher the power of the lens, the increased FOV and lower mag
What is special about the 60 D funds lens.
This gives us 1x magnification ie.
- (+60)/(+60) = -1X
So when we measure the size of say the ONH on the slit lamp using this lens, we are measuring the true size of the ONH.
What are the markings on safety eye wear mean?
H + WURL V + Z87.1/2
what is the minimum coverage area for safety glasses?
40 X 33 mm
lens form
determines the relationship between the front and back surface of a lens.
plano - concave: one is flat/ other is concave
biconvex/biconcave
Concave - wraps around a lower n
convex wraps around a higher n
equiconcave/ equiconvex
half the total power is due to the front surface and half is due to the back surface
meniscus
convex front surface and concave back surface
What is the base curve on glasses?
the curve put on the front of glasses by the manufacturer. this is a spherical curve.
(+) cylinder form curves
(-) cylinder form curves
If a lens has a power of +3.00 -2.00 X 180 and is to be ground in (+) cylinder form, what front and back curves would be used if a base curve of +6.00 D were chosen?
If a lens power of -1.50 -1.00 X 090 and is to be ground in minus cylinder form, what front and back curves would be used if a base curve of +5.00 D were chosen?
When rotating the lens measure on the front surface of a crown glass lens, it is found that all meridians read +6.50 D. On the back surface, if the three contract points are horizontally aligned exactly along the 180- degree meridian, a maximum value of -7.50 D is found. When the three contact points are oriented in the vertical (090-degree) meridian, a minimum value of -6.00 is found. What is the nominal power of the lens? Is the lens made in (+) cylinder or (-) cylinder form?
What is the resulting sum of 2 cylinder lenses, both having a power of pl-2.00 X 180?
What is the sum of the following lenses?
pl -2.00 X 180
pl -2.00 X 090
A patient with a distance PD of 60 mm is fit with a frame with a PD of 68 mm. The lens effective diameter is 58 mm. What is the minimal blank size?
Decentration(d) = (Frame PD - Pt’s PD)/ 2
MBS = ED + 2 (decentration) + 2mm
d = (68mm - 60 mm)/ 2 = 4 mm
MBS = 58 mm + 2(4mm) + 2mm = 68 mm
Where is the base curve on the reading segment?
on the front on the lens, why we place the front on the lens on the lensometer when checking segment power.
how do you calculate sag and relate it to radius?
sag = h^2/(2r)
h = half the chord length (m)
r in m
When should you specify the base curve in a lens?
when replacing the one in a lens pair
when ordering an identically powered second pair
add together the contact lenses with the filling RX:
+1.00 -0.50 X 085
+0.50 -0.50 X 100
add together the contact lenses with the filling RX:
Pl -2.00 X 180
-2.00 +2.00 X 135
add together the contact lenses with the filling RX:
-1.00 -2.00 X 020
-2.50 -3.00 X 080
T/F: the sum of the spherical equivalents if the two obliquely crossed spherocylinders will always equal the spherical equivalent of the resultant lens
true
T/F: if the axes of either two plus cylinders or two minus cylinders lenses are the same, then the resultant power will be the sum of the two cylinders
- answer: true because
pl -2.00 X 180
pl -2.00 x 180
——————-
pl -4.00 x 180
if the axes of two cylinders are very close to one another, what can be said about the power of the new cylinder?
answer: resultant magnitude = sum of the 2 cylinders
the sphere will stay basically the same
example:
pl -2.00 X 002
Pl -2.00 X 178
———————
-0.02 -3.96 X 180
if the axes of two equally powered cylinders are 090 degrees away from one another, what will be the resultant?
- answer: the cylinder power will be zero and the sphere power resulting from the two combined cylinder components
_will change by the full power of the cylinder
example:
pl -2.00 X 090
Pl -2.00 X 180
——————
-2.00 DS
T/F: if the powers of two obliquely crossed cylinders are equal, the axis of the new cylinder will be halfway In between the two.
- answer: true
example:
pl -2.00 X 030
Pl -2.00 x 070
———————
-0.47 -3.06 X 050
if the cylinder powers of two obliquely crossed cylinders are unequal, what happens to the axis of the cylinder?
- answer: the resulting cylinder axis will be pulled in the direction of the axis of the stronger cylinder
example:
pl -2.00 X 030
Pl -1.00 x 070
———————
-0.31 -2.39 x 042
if the axes of two equally powered Plano cylinders are very close to being 090 degrees away from one another, what will be the result in terms of sphere and cylinder powers?
the cylinder power will be close to zero, and the sphere power change resulting for, the two combined cylinder components will change by nearly the full power of the cylinder. The cylinder axis of the resultant cylinder will be halfway between the axes of the original cylinders.
example:
pl -2.00 X 088
Pl -2.00 X 002
———————
-1.86 -0.28 X 045
if the axes of two unequally powered cylinders are 090 degrees away from one another, what happens to the sphere and cylinder powers?
- answer: the new cylinder power will be the difference between the two cylinder powers, and the sphere power will increase by the amount of the smaller cylinder.
example:
pl -2.00 X 090
Pl -1.00 X 180
————————
-1.00 -1.00 X 090
if the axes of two unequally powered Plano cylinders are very close to being 090 degrees away from one another, what happens to the resulting sphere and cylinder powers?
answer: the cylinder power will be close to the difference between the two cylinder powers. The sphere power will increase by close to the amount of the smaller cylinder. (The axes will be close to the axis of the lens with the higher powered cylinder.)
example:
pl -2.00 x 088
Pl - 1.00 x 002
———————
-0.99 -1.02 X 084
A certain lens surface has a radius of curvature of 83.7 mm. The lens has a diameter of 50 mm. What is the sag of the front surface of the lens?
s = h^2/ 2r = (.050/2)^2/ 2 (.0837) = .0037m = 3.7 mm
Suppose a lens has a true base curve of +7.19 D. If the diameter of the lens is 52 mm, what is the sag of the front surface at the full 52 mm diameter?
F= n’-n/r 7.19 = 1.53-1/r
r = .0737 m
s = h^2/2r = (.052/2)^2/ 2 (.0737) = .00468 m = 4.68mm
What is the geometry of a biconvex, biconcave, and meniscus lens?
What is the geometry of a biconvex, biconcave, and meniscus lens?
How convert between lens power, radius, sad, edge thickness and center thickness?
Lens power —–(F = (n’-n)/r)——-> radius
radius ———(s = h^2/(2r)——–> sag
sag ——> ET, CT, etc using geometrical relationships
A biconvex lens is clocked. The lens has the following properties: diameter = 44mm, sag of the front surface =4.5 mm, the sag of the back surface = 3.2 mm, n = 1.50. What is the power of each lens surface?
Biconvex = (+) lens
d = 44 mm -> h = 22 mm
s1 = +4.5mm
s2 = - 3.2 mm
n= 1.50
F1? F2?
S1 = h^2/2r +0.0045m = .022^2/2r
r = .0537 m
F1= n’-n/r = 1.5 -1/.0537 = 9.3 D
S2 = h^2/2r -0.0032m = .022^2/2r
r = -0.0756
F1 = n’-n/r = 1.0-1.5/-0.0756 = 6.61 D
What is GCD?
frame PD = A size + DBL
decentration Per lens equation
(Frame PD - Pt’s PD)/2 = d
(+) d = decentered nasally
(-) d = decentered temporally
minimal blank size equation
MBS = ED + 2d =+ 2mm
d = decentration Per lens
2mm is to account for any chipping of the lens
What is MRP?
Where the pupil looks through
What is the value of the distance from the top of the segment to the near optical center for a Flat top 28 or less?
5 mm
What is the value of the distance from the top of the segment to the near optical center for a Flat top 35
4.5 mm
What is the value of the distance from the top of the segment to the near optical center for a Franklin seg
Franklin seg = executive seg -> 0 mmm
ie. near optical center is located at the bifocal line
What is the value of the distance from the top of the segment to the near optical center for a round seg?
also called kryptok
radius on the seg
What is the power of a trifocal?
1/2 the near add
What is seg drop?
the vertical distance between the MRP and the top of the seg
What is an inset? How do you calculate for it?
the horizontal distance between the geometrical center of the lens and the major reference point.
Frame PD - pt’s PD /2
what is the seg inset? How do you calculate for it?
the horizontal distance between the MRP and the OC of the near add
distance PD - near PD/2
what is the total inset? how do you calculate for it?
The horizontal distance between the Geometrical center and the near add
frame PD - near PD/ 2
A Frame measures 54 X 18. The patient’s distance PD is 66 mm and the near PD is 62 mm. What is the seg inset? What is the total seg inset?
A = 54
DBL = 18
PDdistance = 66 mm
PD near = 62 mm
seg inset = distance PD-near PD /2 = 66-62/2 = 2 mm –> positive so closer to the nose.
total seg = Frame PD - near PD/2 = ( (54+18) - 62 )/2 = 5 mm - > positive so closer to the nose.
How to fix a seg that seems too high?
What does the patient complain of?
distance vision is blurry
increase panto
decrease vortex distance
A certain lens surface has a radius of curvature of 83.7 mm. The lens has a diameter of 50mm. What is the sag if
the front surface of the lens?
r = 83.7 mm
d = 50 mm
s?
S = h^2/2r = (50/2)^2/ 2(83.7) = 3.73 mm
Suppose a lens has a true base curve (TBC) of +7.19 D. If the diameter of the lens is 52 mm, what is the sag of the
front surface at the full 52 mm diameter?
F = 7.19 D
d = 52 mm
s?
use n = 1.53
F = n’-n/r 1.53-1/r = 7.19 D
r = .074 m = 74 mm
s = h^2/2r = ((52/2)^2)/(2*74) = 4.57 mm
What is the lens thickness for a lens with the following dimensions?
Lens power = +3.00 D
Index of refraction = 1.53
Lens is Plano convex: +3.00 D on the front curve and a Plano back surface.
Lens diameter is 50 mm
Edge thickness is zero. The lens has no decentration.
CT = ET + S1
F = n’-n/r +3.00 = 1.53-1/r
r = .176 m = 176 mm
S = h^2/2r = (50/2)^2/ 2(176) = 1.77 mm
CT = 0 + 1.77 = 1.77mm
A -2.00 D lens has the following parameters:
F1 = +6.00 D
F2 = -8.00 D
n = 1.53
CT = 1.5 mm
It is edged to a horizontal oval shape, where
A = 50 mm
B = 30 mm
How thick are the lens edges both in the horizontal and vertical?
ET? vertical
ET = CT - S1 + S2 (get based on drawing)
F = n’-n/r +6.00 = 1.53-1/r
r, = .088m = 88mm
F = n’-n/r -8.00 = 1-1.53/r
r2 = .066m = 66 mm
s1 = h^2/ 2r = (30/2)^2/2(88) = 1.28 mm
s2 = (30/2)^2/ 2(66) = 1.7
ET vertical = 1.5 - 1.28 +1.7 = 1.92 mm
S2 h = h^2/2r = (50/2)^2/2(66) = 4.73 mm
s1 h= (50/2)^2/2(88) = 3.55 mm
ET horizontal = 1.5 -3.55 +4.73 = 2.68 mm
What to do with glasses if the seg is too high? What will the patient complain of?
complain of blurry vision at distance
increase pantoscoptic tilt
decrease the vertex distance
spread the nose pads
more the nosepads up by adjusting the pad arms
stretch the bridge
panto and seg height
for every 2 degrees of panto that you add, must raise seg height by 1 mm
What to do with glasses if the seg is too low? What will the patient complain of?
complain of near blur
narrow the pads
move the pads down by adjusting the pad arms
increase the vertex distance
reduce panto
shrink the bridge
glasses fall down nose
pull the temples in
bend down temple tips
pull in nose pads to tighten the fit
one lens feels closer to the face than the other
straighten the temples
right lens is higher than my left
raise the right temple
What does abbe value tell us
chromatic aberrations a patient may experience
the higher the abbe value the less the chromatic aberrations
crown glass n and abbe
n = 1.523
abbe = 58.9
CR-39 n and abbe
n = 1.5
abbe = 58
polycarbonate n and abbe
n = 1.586
n = 30
trivex n and abbe
n = 1.53
abbe = 43-45
Why do chromatic aberrations occur and that are the different types?
Caused by marginal rays (ie. rays at the edge of a lens) bending more. The lens in the periphery acts as a prism and splits the light into different wavelengths. Smaller wavelengths bend more.
Longitudinal/axial abberations: the idea that white light is spread and so the image will spread (occurs because different wavelengths are refracted differently)
lateral chromatic aberration: idea that as the image travels, the bigger it gets.
How do you prevent chromatic aberrations from occurring?
make sure the patient is looking through the optical center
Why do spherical aberrations occur?
same idea. as chromatic aberrations. that marginal rays focus closer to the lens vs paraxial rays.
So a point object is no longer forming a point image.
typically don’t have to worry about this due to pupil size
Why does a coma aberration occur?
This occurs when the object you are looking at is located of axis (ie. causing you not to view it using the optical center).
As a result the rays that pass through the off axis location will cause a magnification difference and produce a blurred circle of the image. The more zones the light passes through the larger the blur.
The clearest image will be the one that is passing though the optical center/