Physiological Optics I Flashcards
Direct ophthalmoscope
◦ Smaller FOV
◦ Decreased depth of focus
◦ Increased mag
◦ Upright image
Indirect ophthalmoscope
◦ Larger FOV
◦ Increased depth of focus
◦ Smaller mag
◦ Inverted image
How ophthalmoscopes work
- create a conjugate image of the patient’s retina on the examiner’s retina.
- BIO: a condensing lens is used to form intermediate, inverted, real image. Another lens (or accommodation) is needed to see the intermediate image, which is located about 1 arms length away from examiner
Lensometer
• measures back vertex power and prismatic properties of lenses
• How it works
◦ Uses telescope system: look through standard lens and lens of interest (test lens)
‣ Parallel light is leaving the test lens
‣ Light from the standard lens must converge at F, the primary focal point of the test lens
‣ Now we move the target until it happen
Math for lensometer
X=f^2Fv
Hand neutralization
- Similar in purpose to a lensometer
- Utilizes with or against motion to determine the power of the lens
- Minus lens: two prisms stacked apex to apex: with motion
- Plus lens: two prisms stacked base to base: against motion
- No power: no prismatic effect=no apparent motion
- Thin lenses: to determine the power of an unknown lens, add another lens power to neutralize the apparent motion effect. When motion is stopped, The power of the known lens is equal in magnitude and opposite in sign to that of the unknown lens.
Keratometer
- measures the radius of curvature of the center of the cornea
- Cornea acts as convex mirror. One measures the size of the reflected image
- To convert from radius to power: F=337.5/r
- Same principles can be used to determine curvature of a non spherical cornea
How to use lensometer
- focus eye piece
- Blur by turning wheel in plus direction then slowly step backwards until sphere lines are clear (skinny lines)
- Adjust axis to clear sphere lines
- Turn wheel in minus direction until the cylinder lines are clear. Difference between this power and the power at which the sphere lines were clear is the cylinder power
Lensometer and prism
• verifies amount and direction of prism
• Compare location of cross hairs formed by sphere and cylinder lines with the location of a “bulls-eye” image of concentric circles
◦ Crosshairs to the left of the center of bulls-eye=BO (OD) or BI(OS)
◦ Crosshairs to the right of the center of the bulls-eye=BI (OD) or BO (OS)
◦ Crosshairs fall above the bulls-eye=BU
◦ Crosshairs below the bulls eye=BD
Radiuscope
• measures the radius of curvature of RGP CL
• How it works
◦ Scope forms a target at some point P between the viewer and the CL of interest. Light from the image will reflect off the CL and form another image at some point Q
◦ P is located att he surface of the lens. This is because the object distance is zero
◦ P is located at the center of the curvature of the CL. The object distance is the radius of curvature
• Take home summary
◦ Simply need to move the CL from one such location to the other and measure how far it had moved. This distance is the radius of curvature
‣ The distance between the two positions of focus (the clear images)
Lens clock
• measures the sag of a lens
• Can be specified in terms of a lens power using other properties of the lens
• How it works
◦ Adjusting movable pin
◦ Based on sag value and assumed value of n, some lens clocks give a power readout
◦ May need calibrated
• Math for incorrectly calibrated lens clock: FL=(nL-1)/(nLC-1)xFLC
Slit lamp biomicroscope
◦ Keplarian telescope makes up eyepiece
◦ Inverting prism correct upside down image
◦ Galilean telescope is used to further magnify the image
◦ Objective lens
◦ A complex illuminating system
◦ A binocular viewing system creates stereoscopic images, creating 3D view
Image of fundus lens
Create real inverted lenses
Higher power fundus lens=
Lower mag/increased FOV
Fundus lens creates a
◦ Placing lens in front of eye creates telescope system
◦ Essentially creating a reverse telescope
◦ Assume power of eye is +60D ◦ If a +60D fundus lens is placed in front of the eye to create the reverse telescope, M=-(+60)/(+60)=-1x (true size of the image and its inverted) ‣ This is why we can directly measure the optic nerve head with a +60D
Image and mag of +90D
-(60/90)=-.67x
Minified and inverted
+20D mag and image
-(60/20)=-3X
Magnified and inverted
+78D image and mag
-(60/78)=-0.77x
Inverted and minified
+60D lens image and mag
-(60/60)=-1X
True size and inverted
-55D (hruby lens) image and mag
-(60/-55)=+1.09
Magnified and upright
Galilean telescope
Minimum coverage area of ANSI for glasses
◦ Ellipse of 40mm by 33mm centered on the geometric center of the lens
Markings on lens: H
Smaller heads (reduced min coverage size)
markings on lenses: +
Imapact rating
Markings on lenses: W
Shade number (welders)
Markings on lenses: U
Scale number for UV filters
Markings on lenses: R
IR filters
Markings on lenses: L
Visible filter
Markings on lenses: V
Variable tints
What margins must be on the frame for ANSI
manufacture logos, impact mark, and standard mark
ANSI Z87.1 safety standards for impact
- high mass impact (drop ball test): pointed projectile, 500mg dropped from 50”
- High velocity impact: steel ball, 0.25” in diameter, fired at 150ft/s
ANSI Tolerance for -6.50-+6.50
+/- 0.13
Sphere power tolerance for >+/- 6.50
+/- 2% sphere power
Cyl power tolerance ANSI: <2.00
+/-0.13
cyl power tolerance ANSI: 2-4.50D
+/-0.15
Cyl power tolerance for >4.50D ANSI
4% of cyl power
Axis tolerance for cyl <0.25
+/-14
Axis tolerance for 0.25-0.50
+/-7
Axis tolerance for 0.50-0.75
+/- 5
Axis tolerance for 0.75-1.50
+/-3
Axis tolerance for >1.50
+/-2
Plano convex and plan concave lens
one surface is flat and the other is curved
Biconvex and biconcave
both surfaces convex or concave
Equiconvex and equiconcave
half of the total power is due to the front surface and half is due to the back surface
Meniscus
convex front and concave back
Plano cylinder
one flat surface and one cylinder surface
Toric
one toric surface and one spherical surface
Base curves
• specified in terms of power
• Always on the front surface for single vision lenses
• Spherical lens: front surface
• Plus cylinder: BC is flatter on the front. The other curve is the cross curve, the back curve is the sphere curve
• Minus cyl: back flatter curve is the toric BC. The other back curve is the cross curve
• BC for CL
◦ On the BACK
Lens thickness
- minus lens is thicker in the periphery than in the center, while a plus lens is thicker in the center than the periphery
- Note that for a lens with one flat surface, s1 or s2 is zero
- When calculating edge thickness, it is good to draw a picture of the lens. Then you do not have to worry about the sign convention for si, but can instead use geometry
+ lens: tc=te+S1+S2
- lens: tc=te-S1+S2
Thick lens:surface one radius and power
R1=h^2/2Sfi
F=(n2-n1)/r1
Thick lens surface 2 radius and power
- r2=h^2/2Sfi
- F=(n3-n2)/r2
Isothikcness curves
• curves drawn on paper cross to show the curves on which thickness is the same
Geometrical center
point on the datum line halfway between the two vertical lines which ar tangent to the edges
Eye size or lens size
horizontal length of box. Eye size refers to frame, lens size refers to lens itself
B distance
vertical length of the box
DBL
Bridge size
shortest horizontal distance between the lenses
GCD or frame PD
the longest diameter of the lens
A+DBL
Effective diameter
the longest diameter of the lens
Decentration per lens (d)
-d=(frame PD-wearer’s PD)/2
Frame PD=A + DBL
Wearers PD
distance between the center of one pupil to the center of the other pupil
Minimum blank size
the smallest size lens blank needed to make the lens.
M=ED+2(d)+2mm
ED=effective diamter
D=decentration (mm)
MRP
• Major reference point (MRP): point on the lens through which the line of sight (visual axis) passes.
Distance between OC and edge of flat top bifocal segment (28mm or less)
5mm
Distance between OCand the edge of bifocal segment for a flat top (35mm)
4.5mm
Distance between the OC and edge of the bifocal segment for a franklin (executive) seg
0mm. The OC is located at the seg line
Distance between OC and edge of bifocal segment for a round seg
-r, the radius of the sag
Progressives
- Hard design: short corridor and/or high add power
* Soft design: long corridor and/or low add power
Trifocals
• 1/2 the add power in the intermediate zone
Adjusting height of the segment: if the seg appears too high on the patient
◦ Increase panto tilt ◦ Decrease vertex distance ◦ Spread the pads ◦ Move pads up by adjusting pad arms ◦ Stretch the bridge
If the seg appears too low on the patient
◦ Narrow the pads ◦ Move pads down by adjusting the pad arms ◦ Increase vertex distance ◦ Reduce panto tilt ◦ Shrink the bridge
Lensometry and bifocals
• turn glasses around backwards in the lensometer
• Measure the distance power; only the sphere needed
• Measure the near power
• The difference in the near and distance powers gives the add power
• Must flip the lenses in the lensometer if the power is higher
◦ In practice we can estimate without turning the lenses around in the lensometer.
Seg width
longest horizontal dimension of the segment
Seg depth
longest vertical dimension of the segment
Seg height
distance from the lowest point on the lens to the top of the seg
Seg drop
vertical distance between the MRP and the top of the seg
Inset
distance from the GC to the MRP.
(Frame PD-dist PD)/2
Seg inset
accounting for near PD. Distance from the MRP to the center of the seg.
(Dist PD-near PD)/2
Total inset
inset of seg as measure from the OC of the lens. Distance from the GC to the center of the seg.
(Frame PD-near PD)/2
Glasses fall down nose
pull in temples, bend down temple tips, and/or pull in nose pads to tighten the fit
One lens feels closer to the face than the other
straighten the temples
Glasses touch the cheek
reduce panto, narrow the bridge or pads to raise frame, and/or narrow the bridge pads to increase the vertex distance
Glasses too close to face
narrow the pads, shrink the bridge, or decrease face form to move the lenses further away
Frames sit too low on face
narrow the bridge, add pads, or lower the vertical position of the pads to move the frames up on the face
Crown glass RI/Abbe
1.523/58.9
CR-39 RI and Abbe
1.498/58
Polycarb RI and abbe
1.586/30
Trivex R.I. and abbe
1.53/44
Monochromatic aberrations
• distort image quality (spherical, coma, radial astigmatism) or deform the image plane (curvature of field and distortion)
SA
◦ Based on paraxial approximation not always being accurate
Marginal rays
◦ Rays in the periphery
◦ Bent more than central rays and therefore focus closer to the lens compared to central rays
Longitudinal spherical aberrations
◦ Marginal rays focus to a different point compared to paraxial rays
◦ A point object is no longer forming a point image
◦ LSA occurs for both on and off axis points
◦ Contributes to nocturnal myopia
Coma
◦ Only for off axis point
◦ Asymmetric comet shaped blur
◦ Results from the fact that magnification is varies
Aspheric lenses
◦ In very high powered lenses, spherical aberrations are a problem where they are not a problem in lower powered lenses. We have to compensate by Rxing aspheric lenses which modify the surface without changing the power
◦ -23.00 to +7.00D
◦ Flatten the lens reduces magnification
◦ Reduce the weight of the lens
◦ Progressive lenses
Pupil size and mono aberrations
◦ Both coma and longitudinal SA increase with the square of the system aperture
◦ Lateral SA increases with the cube of the aperture
◦ Increase in pupil size typically leads to a decrease in image quality owing to increased aberrations
Radial astigmatism
◦ Oblique or marginal astigmatism
◦ Rays hitting the lens or interface obliquely
◦ Tangential rays and saggital rays are altered asymmetrically
◦ A flat object plane yields an asymmetrically warped image plane
◦ Reduce by picking the correct base curve
‣ Picking correct BC can minimize
• Curvature of field
• Radial astigmatism
Terschnig eclipse
◦ Base curve vs Fv plot
◦ Best value for BC for eliminating oblique astigmatism
‣ Wollaston and Oswalt Curve
• We use Oswalt curve to pick BC (Flatter of the two)
◦ Limits=upper limit is +7.50D. Use aspheric above this. Lower is 22D
Curvature of field (power error)
◦ image points formed by all points on the paper do not lie in a plane
◦ Quality of an image on a flat screen decreases for larger distances
◦ Relation to RA: curvature of field is intertwined with radial astigmatism where there is a different warping along two principle axes
Petzval surface
◦ Image surface created by a system with no radial astigmatism
◦ Still warped due to curvature of field
◦ Curvature of field will present in an ophthalmic lens system any time the petzval surface doe snot correspond to the far point sphere of the eye
Designing lenses: radial astigmatism vs curvature of field
◦ Lenses that have corrected for radial astigmatism, curvature of field, or both fall under the heading “corrected curve” lenses
◦ Point focal lens: a lens corrected completely for radial astigmatism; curvature of field is uncorrected
◦ Percival form lens: a lens corrected completely for curvature of field; radial astigmatism is uncorrected
◦ Lenses are typically designed as a compromise between point focal and percival form so that both radial astigmatism and curvature of field are partially corrected.
Distortion
◦ Magnification of a point object depends on the objects distance from the optical axis.
◦ Barrel=minus lenses
◦ Puncushion=plus lenses
◦ Minimized by a combination of lenses known as an orthoscopic doublet
Chromatic aberrations
- Rectus from the fact that the RI n is slightly dependent on wavelength.
- Shorter wavelengths (blue) bend more as they pass through an interface or optical system than do longer wavelengths
- The image will vary in location (longitudinal chromatic aberrations) and size (lateral chromatic aberration
- Patient’s wearing high powered lenses may see colored fringes around objects because of this.
- Chromatic aberrations underlay the use of RG balance in refractions.
LCA
◦ Series of point images along the axis
◦ Inversely related to v, the Abbe value
TCA
◦ Different size images depending on the wavelength
◦ Related to prismatic effect
◦ More harmful to vision
◦ Inversely related to v
Abbe number
◦ Quantifies chromatic aberrations
◦ Inversely related to the magnitude of chromatic aberration
◦ Math for LCA: CA=F/v
◦ Math for TCA (chromatic power): CA=dF/v
Achromatic doublet
Combine a positive lens of one material with a negative lens of another material to elimate CA. The resulting lens is called an achromatic doublet.
◦ Lens with Abbe number combined with a lens of another Abbe number eliminates CA
◦ The ratio of the v values equals the ratio of the powers
Lens materials with low abbe values
Use shorter vertex distances
‣ Use monocular PD
‣ Include sufficient panto tilt
Most concerning aberrations in aopthalmic lenses in order
Oblique astigmatism
Curvature of field
Distortion
Light properties and prisms
- light bends towards the base
* Image shifts towards the apex
Units of prism
◦ Prism diopter
◦ A prism with a power of xZ will shift a beam of incoming light x cm on a wall 1m away.
Prism=y(cm)/x(m)