optics optoprep Flashcards
How is the segment of a fused bifocal lens constructed compared to the segment of a one-piece bifocal lens, and what material is a fused bifocal made from?
Change of curvature, glass material
Change of curvature, plastic material
Change of index of refraction, plastic material
Change of index of refraction, glass material
Change of index of refraction, glass material
An equiconcave thin lens has a power of -10.00 D, an index of refraction of 1.49 and a radius of curvature of 9.8 cm. If the back surface of the lens is coated to create a reflective surface, what would be the resulting power of the lens-mirror combination?
+20.40 D
- 40.40 D
- 30.50 D
- 10.00 D
-40.40 D
The total power of a lens-mirror combination can be determined using the formula Dlm = 2 D1 + P(n’), where Dlm= the power of the lens-mirror combination, D1= the front surface power, and n’= the index of refraction of the lens. However, the power of the mirror must first be determined using the formula P= -2n/r, where P= the power of the mirror in diopters, n= the index of refraction and r= the radius of curvature of the mirror in meters. Solve for P = -2(1.49)/0.098 = -30.40 D. Solve for Dlm= 2(-5.00) + -30.40 D = -40.40 D. It is important to note that because the lens is equiconcave, the power of the front surface is equivalent to the back surface D1=D2. Because the total power of the lens is -10.00 D, we know that the front surface power is -5.00 D. Also, when determining the power of the mirror, you must be sure to watch your signs!! The radius of curvature is positive and the power of the mirror is negative because the mirror is convex and would diverge light.
Which 2 of the following are TRUE in regards to ANSI standards for progressive addition lenses (PALs) and single vision or bifocal lenses? (Select 2)
The tolerance for add power is higher for PALs as compared to bifocal lenses
The tolerance for sphere power is higher for PALs as compared to single vision or bifocal lenses
The tolerance for cylinder power is higher for PALs as compared to single vision or bifocal lenses
The tolerance for cylinder axis is higher for PALs as compared to single vision or bifocal lenses
The tolerance for sphere power is higher for PALs as compared to single vision or bifocal lenses
The tolerance for cylinder power is higher for PALs as compared to single vision or bifocal lenses
General tolerances for single vision (SV) and multifocal lenses (MF; these include bifocals and trifocals) are slightly different than progressive addition lenses (PALs), according to ANSI standards.
Sphere power
- SV/MF: For powers up to +/- 6.50, tolerance is +/- 0.13D
- PALs: For powers up to +/- 8.00, tolerance is +/- 0.16D
- Powers higher than this have a tolerance of +/-2% for both SV/MF and PALs
Cylinder power
-Tolerances are higher for PALs at all cylinder power ranges
Cylinder axis
-Tolerance ranges are the same for SV/MF and PALs
Add power
-Tolerance ranges are the same for SV/MF and PALs
Others
- Unmounted prism, vertical prism imbalance, and horizontal prism imbalance tolerances are the same for SV/MF and PALs
- Vertical segment height (fitting point height) and vertical segment difference (fitting point difference) tolerances are the same for MF and PALs
- Horizontal segment location (fitting point location) tolerance is less for PALs than MF (1.0 mm vs. 2.5 mm)
A polycarbonate lens measures 6 mm thick at its nasal edge and 8 mm thick at its temporal edge. The power of the lens is -3.50 D and it measures 45 mm horizontally. Given the lens parameters, calculate the amount of horizontal prismatic effect that is present within the middle of the lens.
- 55 prism diopters
- 62 prism diopters
- 13 prism diopters
- 22 prism diopters
- 89 prism diopters
2.62 prism diopters
Using the formula P=100g(n-1)/d, where P= the power of the prism, g= the difference in thickness between the apex and the base, n= the index of the lens, and d= the distance between the apex and the base, one is able to calculate the power of the prism that is located in the middle of the lens. Input the appropriate values into the equation and solve for P. P= 100 (2) (1.59-1)/45, P=2.62. Be sure to memorize the index of refraction for polycarbonate (1.59), and CR-39 (1.50) because these values may not always be given. Also, be aware of distractors such as extra information that is not needed but is provided in the question, as in this case where the power of the lens was not required to calculate the correct answer.
What it the spherical equivalent of -2.50 -3.00 x 097?
- 2.50 DS
- 5.50 DS
- 4.00 DS
- 3.50 DS
-4.00 DS
The spherical equivalent is calculated by adding half of the amount of the cylinder power to the sphere power. For the above prescription, it would be calculated as follows: -2.50 + (-3.00/2) = -2.50+ -1.50= -4.00 DS.
The power of a thin lens in air can be found by using which of the following equations?
The radius of curvature subtracted by the primary focal length
The reciprocal of the secondary focal length in meters
The square of the sagittal height of the lens divided by the chord length
The reciprocal of the radius of curvature of the lens in meters
The reciprocal of the secondary focal length in meters
The power of a thin lens in air can be determined using the formula P= n/f’ where n=the index of refraction of the surrounding medium, which in the above case is air (1.00) and f’=the secondary focal length.
Which of the following terms describes the vertical measurement taken from the top of the reading segment on a bifocal to the deepest part of the frame or lens?
The segment fusion
The segment width
The segment height
The segment depth
The segment height
The segment height is measured as the distance between the top of the segment to the deepest portion of the frame (this measurement is frame dependent). The segment depth is measured as the longest vertical distance from the top of the seg to the bottom of the seg. The seg width is determined by measuring the widest horizontal portion of the seg. The segment fusion is fictional.
Your patient states that he requires safety glasses for work. According to the American National Standards Institute (ANSI), what is the minimum center thickness allowable for high-impact prescription safety lenses made from polycarbonate?
- 0mm
- 0mm
There is no minimum thickness
- 0mm
- 0mm
2.0mm
ANSI requirements state that in order for a prescription lens to be deemed as high-impact, it cannot measure less than 2.0mm thick at its thinnest point and must pass the high-velocity impact test. Currently, only materials made from polycarbonate resins adhere to both of these requirements. Previously, lens materials had to be at least 3.0mm thick but with the introduction of polycarbonate, safety lenses can now be made thinner.
Base-in prism can be induced by which of the following means?
Decentering the optical center of a minus powered lens inwards (towards to patient’s nose)
Decentering the optical center of a minus powered lens downwards
Decentering the optical center of a plus powered lens inwards (towards the patient’s nose)
Decentering the optical center of a plus powered lens upwards
Decentering the optical center of a plus powered lens inwards (towards the patient’s nose)
Rather than specifically ordering prism, low amounts can sometimes be induced by decentering the optical center of the ophthalmic lens from the patient’s pupillary distance (PD), causing the patient to look through a different area of the lens other than the optical center. If a minus powered lens is decentered inwards (nasally), the induced prism will be will be base out; if the same lens is decentered outwards (temporally), the induced prism will be base in. A plus powered lens that is decentered nasally induces base in prism, while temporal decentration induces base out prism.
Reflection of incident light at the front and back lens surfaces will be the greatest for which of the following lens materials?
CR-39
Trivex
Crown glass
Polycarbonate
Polycarbonate
Reflection from a lens surface is proportional to the lens index. Polycarbonate (n=1.59) has the highest index of refraction of the lenses listed followed by Trivex (n=1.53), Crown glass (n=1.52) and CR-39 (n=1.50).
How much image jump will be created by a +2.50 D round 28 mm segment add with a carrier lens of +3.25 DS?
- 25 prism diopters
- 5 prism diopters
- 1 prism diopters
- 0 prism diopters
- 5 prism diopters
3.5 prism diopters
Image jump is created by the vertical prismatic effect when looking through the reading addition of a bifocal lens. When the patient looks from the distance portion of their lenses into the reading area, the viewed image will appear to move or jump. The greater the distance between the reading add optical center and the bifocal line, the greater the image jump experienced by the patient. The total amount of image jump depends on the reading add and the distance between the optical center of the reading add and the segment line. The optical center of a round segment is located in the center of the segment, therefore one must divide the diameter of the segment by 2. For the above example, 28/2=14 mm. Next apply the Prentice rule to solve this problem: prism diopters(pd) =d*F where d is equal to the distance from the optical center in centimeters and F= the power of the add. Pd= 1.4(2.50) = 3.5 prism diopters.
Where is the base curve of a modern spectacle lens typically located?
The base curve is located on the same side as the cylinder power
The base curve is located on the front lens surface
The base curve is located on the back side of a modern lens
The base curve is located on the opposite side of where the bifocal segment is located
The base curve is located on the front lens surface
Base curves are located on the front or non-ocular side of a modern spectacle lens (minus cylinder form). Older lenses had the base curve on the back of the lens, with the cylinder power on the front side (plus cylinder form). The advantage to the minus cylinder lens form is that the cylinder is closer to the eye, minimizing marginal astigmatism when one views away from the optical center.
Modern bifocal lenses have the bifocal on the front of the lens; thus, the base curve is on the same side as the bifocal but on the opposite side of the cylinder power.
A Keplerian telescope possesses an eyepiece with a corresponding power of +15.00 D and a +5.00 D objective lens. What is the tube length of the telescope?
- 0 cm
- 67 cm
- 33 cm
- 0 cm
26.67 cm
To determine the tube length of the telescope, the corresponding focal lengths of the lenses are added together which is found by taking the reciprocal of the dioptric powers of the ocular and objective lenses. For the above problem, the focal length of the ocular lens is (1/15.00 D)= 0.066667 or 6.67 cm and the focal length of the objective lens is (1/5.00 D)=0.2 or 20.0 cm. Adding the two values together yields a tube length of 26.67 cm (6.67 cm + 20.0 cm).
A telescope has an objective lens diameter of 15.0 mm and an exit pupil diameter of 2.0 mm. What is magnification of the telescope?
1.3x
30x
15x
7.5x
7.5x
The magnification of the telescope can be determined by using the equation Mtel= objective lens diameter/exit pupil diameter. Solving for the magnification yields, Mtel=15.0 mm/2.0 mm, Mtel= 7.5x. The amount of light that may enter a telescope is limited by the size of the entrance pupil. For the majority of telescopes, the entrance pupil is also the objective lens. The exit pupil is the image of the entrance pupil (objective lens) as viewed through the ocular of the telescope. For a Galilean telescope, the exit pupil is virtual and is located inside the telescope. A Keplerian telescope possesses a real exit pupil.
A patient is seen at your office complaining of distance blur with her current glasses. With her current prescription of -3.25 D in place, you determine that her far point is 70 cm from the spectacle plane for her right eye. Given this information, which of the following is the MOST appropriate spectacle prescription to obtain a clear retinal image when an object is viewed at optical infinity (rounded to the nearest 0.25 D)?
- 4.75 D
- 1.75 D
- 1.00 D
- 2.50 D
- 3.25 D
-4.75 D
With the current prescription the patient’s far point is 70 cm. The far point vergence at the spectacle plane necessary to obtain a clear image is the reciprocal of the far point in meters. 1/0.70= 1.43 D, rounded to the nearest quarter diopter yields 1.50 D. Therefore, to achieve a clear retinal image for an object focused at optical infinity requires -4.75 D at the spectacle plane.
A 24-year old female wears soft contact lenses with a Dk/t of 175 and admits to sleeping in her lenses. She is very satisfied with both the comfort and the vision of her lenses. Biomicroscopy reveals mucin balls under her lenses bilaterally that leave impressions in her central corneas upon removal of her lenses. Which of the following actions would BEST help to eliminate the formation of mucin balls?
Instructing the patient to increase her blinking frequency
Maintaining the same lens material but changing to a steeper base curve
Changing her multi-purpose solution
Altering the power of the contact lens but maintaining the same lens material
Maintaining the same lens material but changing to a steeper base curve
Mucin balls appear as small, white, pearl-like debris that occur behind the posterior surface of contact lenses. They generally occur with silicone hydrogel lenses that are fit too flat and are used for extended wear purposes. Mucin balls do not actually pose a threat to vision and do not generally compromise the integrity of the cornea. However, if they are severe enough, there are several options available to clinicians to combat their formation. An easy way to decrease generation of mucin balls is to steepen the base curve of the lens. Alternatively, one can decrease the amount of extended wear or add re-wetting drops to the patient’s contact lens regimen. Upon removal, mucin balls will cause pooling of sodium fluorescein but will not cause staining of the cornea.
A ray of light is deviated 5.50 cm by a prism made of crown glass located 7.0m away. Which of the following equations will CORRECTLY determine the total prism power?
P=(100)(0.55/700)
P=(100)(700/0.55)
P=(100)(5.50/700)
P=(100)(5.50/7.0)
P=(100)(700/5.50)
P=(100)(7.0/5.50)
P=(100)(5.50/700)
Prism power is found by using the equation P=(100)(x/d), where P= power of the prism (in prism diopters, pd), x=the total distance that a ray of light is deviated, and d=the total distance from the prism to where the deviation is measured. For the above question, P= (100)(5.50 cm/700 cm)=0.786 pd. Key: both the distances must be in either meters or centimeters. If the units of the distances are not the same then 100 must be dropped from the formula. For example, P=5.50 cm/7.0 m=0.786 pd.
The presence of small, iridescent, fleck-like opacities scattered throughout the crystalline lens (also known as “Christmas tree cataracts”) are associated with which of the following systemic diseases?
Atopic dermatitis
Neurofibromatosis
Down’s syndrome
Wilson’s disease
Correct answer Myotonic dystrophy
Myotonic dystrophy: associated with multi-colored opacities known as “Christmas tree” cataracts (close to 90% of patients develop these cataracts)
- Atopic dermatitis: associated with shield-like, dense anterior subcapsular plaques
- Neurofibromatosis: associated with posterior subcapsular or posterior cortical cataracts
- Wilson’s disease: associated with green “sunflower” cataracts
- Down’s syndrome: low association with Cerulean or “blue-dot” cataracts
A 20-year old patient is complaining of double vision when reading. He is wearing a spectacle prescription of -5.00 DS OD and -2.00 DS OS. If he reads 8 mm below the optical centers of the lenses, what is the induced vertical prismatic imbalance when reading?
4 2.4 BD
- 4 BU
- 24 BU
- 24 BD
2.4 BD
Prism can be induced when a patient is looking above/below or lateral to the optical centers of a spectacle lens. The induced prismatic effect from a spectacle lens is a function of the lens vertex power (Fv) and the distance between the patient’s line of sight and the optical center of the lens (d). This prismatic effect can be calculated using Prentice’s Rule: prism = d(Fv). It is important to remember that the unit for d is always in centimeters.
When dealing with vertical prismatic effects, if the induced prism values over each eye have the same base direction, the prism values are subtracted. If prism values have opposite base directions, then the prism values are added.
The base direction is dependent on whether the lens is a plus or minus powered prescription. Since a plus powered lens has a greater center thickness, looking above the optical center will induce base down (BD) prism, and looking below the optical center will induce base up prism (BU). A way to visualize this is to picture two prisms stacked together base to base, creating a thick center. The opposite is true for a minus lens, since the thickness of the lens is greatest at the edge. Looking above the optical center of a minus lens induces BU prism, and looking below the optical center induces BD prism. A minus lens can be visualized as two prisms stacked apex to apex, creating a thin center and thick edge.
To determine the vertical prismatic imbalance in the question, calculate the induced prism effect of each eye:
Right Eye: Prism = (0.8cm)(5D) = 4.0 BD
Left Eye: Prism = (0.8cm)(2D) = 1.6 BD
Each eye has the same base direction, so the values will be subtracted to determine the vertical prismatic imbalance.
Imbalance = 4.0 - 1.6 = 2.4 BD over the right eye
Which of the following lenses does not possess an optical axis?
A bi-concave lens
A bi-convex lens
A meniscus lens
A plano-convex lens
A plane parallel lens
A plane parallel lens
The optical axis of a lens system can be thought of as an imaginary line that serves to join the centers of curvature. Light transmitted through a lens will pass through its center of curvature and is said to travel along the optical axis of the lens. A surface that does not possess any curvature will not have a natural optical axis.
A patient walks into your office because he recently moved and lost his glasses in the process. He remembers that he had prism in his glasses but he is unsure how much. Your refraction reveals OD: -0.25 -7.50 x100, OS: -3.25 DS with 3 base out (BO) prism. From a cosmetic standpoint, on which lens should the prism be prescribed?
1 BO left eye, 2 BO right eye
Correct answer 3 BO left eye
The prism is very mild and should not be prescribed
3 BO right eye
Because the lens of the right eye is going to be quite thick temporally, it is a good idea for cosmetic purposes to place the prism over the left eye in an attempt to equalize temporal edge thickness
An object located in air (n=1.00) measures 2.5 cm in height and is 12.0 cm in front of a -12.00 polycarbonate (n=1.586) surface. Which of the following will correctly calculate the location of the secondary focal point?
f’=0.025/(1.586-1.0)
f’=1.586/-12.00
f’=(1.586-1.0)/-12.00
f’=1.0/-12.00
f’=1.586/-12.00
To correctly solve for the location of the secondary focal point, one must use the equation P=n’/f’. Inputting the values from the above question yields: -12.00= 1.586/f’. Solving for f’ yields= -0.132 or 13.2 cm. Because the answer is negative, the secondary focal point will be located to the left of the diverging surface.
The right optical center (OC) of your patient’s glasses is not aligned with his pupil. The right OC is 4 mm higher than his right pupil. Calculate the induced prism and base direction base from the following Rx: OD +2.00-2.00 x 030.
- 6 prism diopters BU
- 2 prism diopters BD
- 6 prism diopters BD
- 2 prism diopters BU
0.2 prism diopters BU
The power in the vertical meridian of the above lens is +0.50D. This is calculated by using the formula: F = sphere + cylinder(sin2 theta). Theta is the difference between the meridian in question (vertical or 90 degrees) and the lens axis (030 degrees). Using Prentice’s rule: prism diopters = Fd. F is calculated as +2.00 + (-2.00)(sin2060)= +0.50D. d is how far away the OC is from the patient’s pupil or 4mm. Remember to express d in cm, not mm. +0.50 x 0.4 = 0.2 prism diopters. The patient is viewing through the lower half (base up) of the plus lens power since the OC is above the pupil.
What separation distance will make the combination of a +3.00 and a +10.00 thin lens afocal?
2.3 cm
43 cm
- 7 cm
- 43 cm
23 cm
17 cm
43 cm
For this question, the equation for equivalent power of a thick lens system should be used, solving for thickness (t).
De = D1 + D2 - (t/n) x D1D2 De = equivalent power, D1 = front surface power, D2 = back surface power t = thickness of lens system, n = index between the 2 surfaces
An afocal system has its focal points (F and F’) located at infinity. Therefore, an incident parallel pencil of light rays will emerge into image space as a parallel pencil as well. Another way to characterize an afocal system is that the equivalent power (De) is 0.
In the above question, De = 0, D1 = +3.00, D2 = +10.00, n= 1 0 = 3 + 10 - ((t/1) x (3) x (10)) 0 = 13 - (t x 3 x 10) 0 = 13 -30t 30t = 13 t = 0.43 m (or 43 cm)
If the two lenses are separated by 43 cm, the lens system can be considered afocal. This type of combination of two plus lenses is also an example of a simple astronomical (Keplerian) telescope. Keep in mind that the image in this type of optical system is inverted.
Which of the following formulas can be used to directly determine the lateral magnification produced by an optical system?
Image size/radius of curvature of refracting lens
Index of refraction/primary focal point
Object size/index of refracting medium
Object vergence/image vergence
Object vergence/image vergence
The lateral magnification of an image produced by an optical system can be calculated by dividing the image size by the object size or, alternatively, by dividing the object vergence by the image vergence.
our -10.00 D patient wishes to have the thinnest edges possible for his glasses. Which of the following actions will result in a reduced edge thickness?
Decreasing the refractive index of the lens
Increasing the minimum blank size of the lens
Increasing the center thickness of the lens
Correct answer Choosing a smaller eyesize
Explanation - For a myope, the goal is to reduce the overall edge thickness. Decreased edge thickness can be achieved by decreasing the eyesize, increasing the refractive index of the lens, or by minimizing the center thickness.
Choosing a smaller eyesize
Explanation - For a myope, the goal is to reduce the overall edge thickness. Decreased edge thickness can be achieved by decreasing the eyesize, increasing the refractive index of the lens, or by minimizing the center thickness.
A patient who recently picked up her new glasses returns to your office complaining that the new glasses make her eyes feel tired. The prescription in the right eye is +2.00 -2.00 x090 and the left eye is plano -2.50 x180. Her pupillary distance (PD) is 64 mm and the distance between the optical centers is 74 mm. How much prism was induced and in which direction for the right eye?
1 prism diopter base out
None
2 prism diopters base out
1 prism diopter base in
2 prism diopters base in
None
Placing the prescriptions for both eyes on optical crosses reveals that both eyes are plano in the 180 degree meridian, which means that no matter how much your PD is off, prism will not be induced.