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59 Cards in this Set

  • Front
  • Back

Speed of light

c = vh




v = frequency


h = wavelength


C = 3x10^10 cm/s

Energy of a photon

E = hv




h = Planks constant = 6.6x10^34


v = frequency of light wave

Shorter wavelengths = ________ energy and refract _______.

more and more




Blue Bends More

Critical angle (total internal reflection)

sin(critical angle) = n'/n




n air = 1


n water = 1.33

Vergence formula

U + D = V




U = object vergence


D = Lens power


V = Image vergence

Lens power

D = 1/f




f = focal length (meters)

Snell's Law

nsin(i) = n'sin(r)




n = refractive index


i = angle of incidence


r = angle of refraction

Prismatic power

/\ = (image deflection cm)/meters


/\ = 100tan(B)




B = angle of deviation

Prentice's Rule

/\ = hD




h = distance from optical axis (cm)


D = lens power

Reduced schematic of the eye

Calculation of retinal image size

I/17mm = O/X




I = Retina image size


O = Object size


X = Distance to object




Set up like triangles

Spherical equivalent

SE = sphere + (cyl/2)

Refracting power of a spherical surface

Ds = (n' - n)/r




n = refractive index to left


n' = refractive index to right


r = radius of curvature of surface (m)


(+ is convex, - is concave)

Reflecting power of a spherical mirror

Dr = (-1/f) = (-2/r)




f = focal length = (r/2)


r = radius of curvature


(- is convex, + is concave)

Power of thin lens immersed in fluid

Dair/Daqueous = (niol - nair)/(niol - naqueous)

Power of lens at new vertex distance

D2 = D1 + S(D1)^2




D1 = original power of lens


D2 = new power of lens


S = change in vertex distance (m)




**S is + or - (V1 - V2)

Linear Magnification

ML = I/O




I = image distance or height


O = object distance or height

Axial Magnification

Max = (ML)^2




ML = linear magnification

Angular Magnification

Ma = xD




x = distance


D = power of lens

Simple Magnifier (+ sphere lens)

M+ = D/4




D = power of a simple plus lens




ex. 1x magnifier = +4 lens; 2x = +8 lens

Telescope Magnification

Mtele = -De/Do




De = eyepiece power


Do = objective power

Total accommodatoin through telescope

Atotal = An(Mtele)^2




An = normal accommodation required


Mtele = magnification of telescope

SRK IOL power formula

P = A - 2.5L - 0.9K




A = constant for type of IOL


L = axial length of eye


K = average keratometry value

Antireflective coating on glass

Is 1/4 wavelength thick


--> causes the reflecting light to be out of phase by 1/2 wavelength


--> negative interference

Convex lens is a _____ lens and gives _____ vergence

plus and plus

Concave lens is a ______ lens and gives _______ vergence

minus and minus

Cylindrical lenses




power is ______ (@ or x)


axis is ______ (@ or x)

power is @


axis is x




Power is @ 90 degrees from axis x

How to convert from plus cyl to minus cyl notation

1. add cylinder to sphere


2. switch the sign of cylinder


3. change axis of cylinder by 90 degrees

What is the power cross for the following Rx:




-4.00 + 3.00 x 180

-1.00


|


----------- -4.00


|

Real image vs virtual image for a lens

Real Image Virtual Image


- Right of lens - Left of lens



Image characteristics of plus (converging) Lens

Image is Real & Inverted most of time.




Exception: object distance < or = focal length will produce a virtual and upright image

Image characteristics of a minus (diverging) lens

Image is always virtual and upright




Image is always smaller than the object

Real image vs virtual image for a mirror

Real Image Virtual Image


- Left of mirror - Right of mirror






opposite of lenses

Image characteristics of convex (-) mirror

Always


- Virtual (right)


- Upright


- Minified

Image characteristics of concave (+) mirror

1. Object outside focal point


- Real (left), Inverted, Mag/Min or same size




2. Object on focal point


- No image




3. Object inside focal point


- Virtual, Upright, Magnified

Total magnification of a lens system

Mtotal = M1xM2xM3....

Prism diopter =

= cm of image displacement over a reference of 100 cm

Galilean Telescope

Eye piece: minus (high D)


Object piece: plus (low D)




Separation = subtract the two focal lengths


Upright image

Keplarian Telescope

Eye piece: plus (high D)


Object piece: plus (low D)




Separation = add the two focal lengths


Inverted image

Which bifocal lens would you add to a + lens?

Round top




- minimizes displacement


- still has jump

Which bifocal lens would you add to a - lens?

Flat top or executive




- minimized both displacement and jump


(always minimizes jump in both hyperopes and myopes)

Spectacle lenses: Image size changes ____% for each 1D change in Rx

2%




+ magnify


- minify

Prism: Image is displaced in which direction?

Age 40 has _____ D of accommadation

6D

Up to age 40, accommodation decreases by _____D every ____ years.

decreases by 1 D every 4 years

Between age 40 to 48, accommodation decreases by ____ D every ____ years?

decreases by 1.5D every 4 years

Above age 48, accommodation decreases by _____ D for every _____ years?

decreases by 0.5D every 4 years

Snellen denominator = _____ arcmins at that distance

5 arcmins




Ex. 20/60 >> letter subtends 5 arcmins at 60ft.


So, at 20 feet it is bigger by 3x (60'/20')


3 x 5 arcmins = 15 arcmins on the retina

Good soft contact lens has _____ fit?

3-point touch




Lightly touches apex and limbus on both sides

Define aniseikonia

Unequal magnification (size) of images projected on the retina due to difference in spectacle correction between eyes.




Can tolerate up to 7-8% difference in image size.


This is approximately 3D difference between each eye.

List the methods to reduce cylinder-induced asthenopia and distortion

1. Use minus cylinder form


2. Minimize the vertex distance


3. Decrease cyl power while keeping the proper spherical equivalent


4. Rotate the axis of the correcting cyl towards 90 or 180

When performing retinoscopy, as neutralization is approached, the light beam becomes _______, _________ & __________.

brighter, wider & faster

AC/A ratio by Gradient Method formula

AC/A = (deviation c lens - deviation s lens) / (lens power)

Power of a thick lens

Pfront + Pback - [(t/n) x (Pfront x Pback)]




t = thickness of lens in meters


n = refractive index of lens

Zero order aberrations:

Piston

First order aberrations:

Prism

Second order aberrations:

Myopia (positive defocus)


Hyperopia (negative defocus)


Regular astigmatism

Third order aberrations:

look these up

Fourth order aberrations:

look these up