Day 5 (1): Optics Flashcards
Why does refraction of light happen?
REFRACTION
- bending of light
- light SLOWS down as it cross a DENSER medium with HIGHER index of refraction
What two variables affect the refraction of light?
- Difference in Index of Refraction between two media
2. Curvature of the optical medium
What is the index of refraction?
- A dimensionless number that gives the indication of the LIGHT-BENDING ABILITY of that medium.
- Determines how much the path of light is bent, or refracted, when entering a material.
- Described by SNELL’S LAW OF REFRACTION
HIGHER index = DENSER medium = SLOWER speed of light = light is bent TOWARDS the normal line AWAY from surface = angle of refraction DECREASES
LOWER index = LIGHTER medium = FASTER speed = light is bent AWAY from normal line TOWARDS the surface = angle of refraction INCREASES
Normal line: an imaginary line perpendicular to the surface of the medium
What is Snell’s Law of Refraction?
Formula: n sin i = n’ sin r
Where:
n: index of refraction of medium 1
i: angle of incident ray from the normal line
n’: index of refraction of medium 2
r: angle of refracted ray from the normal line
Normal line: imaginary line perpendicular to the interface
i = r : NO refraction or bending, equal IoR
i > r : (+) bending TOWARDS normal line, IoR1 < IoR2
i < r : (+) bending AWAY from normal line, IoR1 > IoR2
- Governs or describes the bending of light rays as they travel from one medium to another
- E.g. as light travels from air (lower IoR) to water (higher IoR), light is bent CLOSER to the normal line and AWAY from the medium interface
What are the common refractive indices of the parts of the eye?
Air: 1.000
Tears, Aqueous, Vitreous: 1.336
Cornea: 1.376 (Keratometric: 1.338)
Lens: 1.420
Interfaces: Air-Tear Film: 44 D (1.000 --> 1.336) Tear Film-Cornea: 5 D (1.336 --> 1.376) Cornea-Aqueous: -6D (1.376 --> 1.336) Total: 43 D ~ 2/3 or 70% of refractive power of eye
Aqueous-Lens: 20 D (1.336 –> 1.420)
- 1/3 or 30% of refractive power of eye
Grand Total: ~ 60 D
Dioptric/Refractive Power of a medium
- Determined by the difference in refractive indices of the mediums
- Largest power or greatest bending of light happens when light enters the eye FROM AIR TO THE CORNEA due to the huge difference in IoR between the two
- Because of the gradually increasing IoR between the media light passes through, it gets focused closer to the midline/macula
Difference between vision UNDER water and vision LOOKING DOWN on water.
Under water:
- Since both observer and object are in SAME medium, NO refraction of light is happening
- Location of objects are as they appear to be
Looking down on water:
- Air-Water interface: 1.00 vs 1.33
- Light travels faster in air (AWAY from midline and CLOSER to surface) because of the lower IoR
- Brain assumes that all light rays travel in a straight line hence the location of the object is NOT SIMILAR to location of image
- When looking at objects in the water, objects appear closer to surface but is in reality DEEPER
- Thus: when trying to hit a target under water, angle the trajectory BELOW the image.
What are prisms?
Transparent triangular refracting medium with a BASE and an APEX where:
- Light is refracted towards the BASE
- Air-Prism-Air interfaces: differences in index of refraction causes light to refract towards the base of the prism - Apparent image is deviated towards APEX
- Resultant refracted light rays are perceived by the brain as travelling in a straight line coming from near the apex
Prism Power: prism’s ability to deflect or bend light
- determined by the PRISM ANGLE of the APEX
How are prisms and lenses related?
Positive/Convergent/Convex Lens
- two prisms with bases apposed to each other
- focuses light rays towards a point at the RIGHT of the lens = REAL IMAGE
Negative/Divergent/Concave Lens
- two prisms with apices apposed to each other
- focuses light rays towards an imaginary point at the LEFT of the lens = IMAGINARY IMAGE
Prism Power vs Lens Power
Prism Power
- a measures the ability of a prism to change the path of light
Lens Power
- a measure of the ability of a lens (two prisms placed end to end) to converge or diverge light to a single point
What is the Prentice Rule?
- A prism of 1 PRISM DIOPTER POWER produces a 1 CM apparent DISPLACEMENT of an object 1 M AWAY.
- Determines the amount of prism power in a lens
- Relates prism power to the lens power
PP (D) = decentration distance (cm) x LP (D)
- The prism power of a lens at any point on its surface is the distance of the lens center from the optical center multiplied by the power of the lens
- The HIGHER the lens power or the FARTHER away the lens center is from the center of the pupil, the HIGHER the prism power
- When the center of the lens is aligned to the optical center (center of pupil), no matter how high the lens power is, the amount of prism is still ZERO
Conclusions:
- Prism is only induced when center of the lens IS NOT ALIGNED with the center of pupil (DECENTRATION)
- You can have lens power WITHOUT prism when centers are aligned.
How does the brain handle prisms?
- When prismatic correction is placed in front of on eye, it affects both eyes because the brain applies it binocularly
- Both eyes work in tandem to produce binocular vision
- Thus, when applying prismatic correction, prims can be applied only to one eye OR split between both eyes
- This balances the added weight and thickness of prism between the two lenses.
Optical center of the lens vs Optical center of the eyes?
Optical center of the eyes: center of the pupil
Optical center of the lens: central point of the lens/frame
- point which lies along the principal axis through which rays of light pass straight through WITHOUT refraction
Describe the prismatic effect of lens decentration.
- Prism occurs whenever there is a difference in lens thickness between two points in the lens
- Because lenses with power always have a variation in lens thickness, lenses always produce a prismatic effect
- If center of lens and center of pupils are aligned, NET prismatic effect is ZERO because prismatic effect in other points of the lens allows light to focus towards the optical center = CLEAR image
- If decentered, resultant net prismatic effect will NOT focus all light into the center of the pupil and into the macula = BLURRED image
Clear image:
- distance between the centers of the two pupils should approximate the distance between lens centers
- pupillary center aligns with the optical center
- NO prismatic effect
Blurred image + eye fatigue + focusing error
- (+) decentration or the pupillary centers are not aligned with the optical centers
- Prismatic effect INDUCED
Note:
- Decentration can be useful if the geometric center of the frame does not coincide with the center of the pupils.
- Lens center is decentered from the frame center so that it would coincide with the center of the pupil.
Describe the base direction of the induced prismatic effect of decentered lenses.
Remember: prisms bend light towards BASE.
Lens center at pupil center: NO induced lateral prism
But at any point away from the optical center:
Positive/Convex/Convergent Lenses
- thicker at center, thinner at edge
- prismatic effect TOWARDS center
- SAME direction as decentration:
(+) Lens with wide OC (OC > PD)
- decentration OUTwards = base OUT prismatic effect
(+) Lens with narrow OC (OC < PD)
- decentration INwards = base IN prism
Negative/Concave/Divergent Lenses
- thinner at center, thicker at edge
- prismatic effect AWAY from center
- OPPOSITE direction as decentration:
(-) Lens with wide OC (OC > PD)
- decentration OUTwards = base IN prism
(-) Lens with narrow OC (OC < PD)
- decentration INwards = base OUT prism
What is vergence?
- Describes how light rays behave relative to one another
Negative/DIVergence (<)
- light rays move AWAY from each other
- near light source
- light becomes less bright with distance because beams become farther apart
- ALL light in nature are diverging
- E.g. flashlight
Positive/CONVergence (>)
- light rays move TOWARD each other
- becomes brighter because beams are concentrated
- not naturally-occurring
- E.g. laser
Zero Vergence (=)
- light rays are PARALLEL to each other
- far from light source
How is vergence quantified?
Formula:
Vergence (D) = 1/Distance (m)
- Unit: DIOPTERS
- Negative because light is divergent - Quantified based on the angle between light rays
- The larger the angle, the more divergent or convergent the rays are - Remember: light is created in a DIVERGENT manner from a single point source and spreading in all directions
- As DISTANCE from source increases, VERGENCE decreases = LESS divergent
- As distance approaches INFINITY, vergence becomes ZERO = PARALLEL