Visual Optics 10/27/03 I. II. V023a Some Review a. Slide 159 pg 99 i. The image forms on the apertures of the inner segments to get a sharp image. b. Mechanisms to minimize scatter i. All the ganglion cell bodies and neural tissue b/t have similar refractive indices. 1. by Snell’s law there will not be a change in angle ii. Some light still scatters, this will be very damaging if the photoreceptors are very close 1. Slide 161 pg 100: Cone density decreases with retinal eccentricity from fovea a. At the fovea, they are tightly packed but at the peripheral edge the cones are bigger and further apart. b. Cones at the foveal center are most sensitive to scattered light due to their high number density. Scattering here will decrease the contrast of the image. c. In the peripheral retina the same indices give little enough scatter NOT to effect visual performance. This is not the case in the fovea. iii. Slide 158: Transverse and cross-sectional views of retina. 1. In the fovea the mechanism to correct the scatter is by getting rid of all the neural tissue in front of the photoreceptors a. But we don’t want to waste it so let’s just push it to the side and form the foveal pit. New stuff a. Slide 162 pg 101: Fluorescein angiogram showing capillary-free area of the fovea i. Another obstacle is the capillaries all over the retina that will scatter or absorb light. ii. From the entopic lab we know we can see the shadow patterns via ‘Thru the pupil method’ iii. To help with this we have a well defined avascular zone (the enlarged pic) that prevents capillaries from scattering light at the fovea. b. The cornea has three mechanisms to minimize scatter i. Indices of all the neural tissue in front of the photoreceptors is about the same. ii. The neural tissue is pushed away from the fovea, so light won’t have to propagate thru as much neural tissue. iii. An avascular area in the fovea. c. Slide 163: How does light get captured by a photoreceptor? i. Given: Let ninnersegment 1.42 , noutsideinn ersegment 1.38 (these are hypothetical numbers only), the angle going in and the angle coming out. ii. The arrow is a ray of light coming into the inner segment from the vitreous. It will reach the side wall and one of two things will happen: either it will pass thru or reflect off (if it passes thru it can’t get to the pigment and the photoreceptor can’t detect the light) iii. We want to be the most efficient and the light reflected off will be the light captured by the photopigment, so we want 100% reflectance Visual Optics 10/27/03 V023b 1. We do this using the concept of total internal reflection: n> n which means > . With total internal reflection this will happen when 90 2. We want to find the CRITICAL angle in which this will happen: a. Using Snell’s law n sin n sin b. n sin n (1) c. critical sin 1 ( nn ) d. = 7 6 3. Whenever critical Total reflectance will occur 4. So if we know the indices we can find the critical angle and which rays will be completely captured. iv. Answer: 1. By total internal reflection the amount of light captured depends on the incident angle: a. critical 100% of light is reflected (captured) b. critical only a % of light is reflected d. Slide 164 pg 102: Light collection by photoreceptor waveguides is dependent on the incident angle i. Given n> n ii. At a steep angle (large ) the light will be strongly captured and reflected, but if it’s less than the critical angle it will be only partially captured, and finally if it is at a shallower angle light may not be captured at all. e. Demo 1: Let’s magnify i. Does this really happen? All the optical stuff is happening at the interface. Let’s see if this we can duplicate this: 1. A cone photoreceptor is about 2.5 m in diameter and 60 m long. 2. Magnified 100 times the photoreceptor will be 250 m in diameter and 6mm long. 3. Magnified 10,000 times it will be 1inch in diameter and 2 feet long. 4. Magnified 30,000 times it will be 3 inches in diameter and 6 feet long. f. Demo 2: A 6 foot photoreceptor i. The refractive index of the acrylic rod is higher than air so optically it is just like a photoreceptor in our eye. ii. If we can shine some light into the photoreceptor at the critical angle it will reflect off the wall and will come out the other end (since we don’t have any pigment to absorb). iii. Because the index of plastic is so much larger than air, the critical angle is very large (he says very large but if you do an example it is actually very small) so just about any angle will give total internal reflectance. iv. We see the light reflected onto a piece of paper! v. At the top edge you can’t see any light coming thru. vi. The edge is very sensitive to light so the retinal image needs to form right at that edge or not much light will be transferred. Visual Optics 10/27/03 V023c vii. Index is the key for photoreceptors b/c the capturing of light is based on total internal reflection. g. Demo 3: What does an individual photoreceptor actually see? i. Let’s put our eye to a representative photoreceptor. 1. What’s the VA for an individual photoreceptor? a. Not very good but there is a better comparison if we put a letter right up to the front edge b/c what is on the photoreceptor is an image of the object. Can see individual letters this way. b. The photoreceptor does not distinguish what part of the photoreceptor the light is getting absorbed in. c. The photoreceptor acts as a point detector and can resolve shades of gray but doesn’t provide any spatial resolution. 2. The light getting into the photoreceptor varies with regards to how it is oriented to the pupil a. We saw this by looking thru the photoreceptor centered at his paper pupil. As he moves it we focused where the light is maximum so we rotate photoreceptor while he rotated the pupil. h. Slide 165: Phototropism i. Reaction of certain plants and animals to move towards or away from a source of light (with respect to our eye it is the pupil) 1. ex: Sunflowers ii. Photoreceptors also have this feature (orient at nodal point or generally the pupil) i. Slide 166 Pg 103: Receptors directed towards center of pupil i. Photoreceptors like sunflowers all face the pupil