Optics Flashcards
What is High Order Aberrations?
A distortion acquired by a wavefront of light when it passes through an eye with irregularities of its refractive components, such as: tear film, cornea, aqueous humour, crystalline lens and vitreous humour.
Electromagnetic Spectrum
The range of frequencies of electromagnetic radiation and their respective wavelengths and photon energies.
Visible Light
Electromagnetic radiation at wavelengths which the human eye can see.
We perceive this radiation as colours ranging from:
- Red = Longer wavelengths - 700nm
- Violet = Shorter wavelengths - 400nm
What does the Electromagnetic Spectrum consist of?
1) Radio Waves
2) MicroWaves
3) Infrared
4) Visible Light
5) Ultraviolet
6) X-ray
7) Gamma Ray
Electromagnetic Radiation
Refers to the waves of the electromagnetic field, propagating through space, carrying electromagnetic radiant energy, in which electric and magnetic fields vary simultaneously.
Frequency
cycles per second - Hertz.
Wavelength
metres
Energy
electron Volts
Radio Waves ↓ ↓ ↓ ↓ ↓ ↓ ↓ ↓ ↓ Gamma Rays
Long Wavelength
↓
Short Wavelength
Lower Frequency
↓
Higher Frequency
Lower Energy
↓
Higher Energy
Lightray
A ray is an idealised model of light, obtained by choosing a line that is perpendicular to the wavefronts of the actual light, and that points in the direction of energy flow.
Incident ray
An incident ray is a ray of light that strikes a surface. The angle between this ray and the perpendicular/normal of the surface is the angle of incidence.
What order does light travel through the Eye?
Conjunctiva ↓ Cornea ↓ Aqueous humour ↓ Lens ↓ Vitreous humour ↓ Retina/ macula – fovea
What are the stages in Visual Process?
1) Normal stimulus to vision i.e. light
2) The formation of an image when the optical image falls on the retina
3) Photochemical reaction between light falling on the retina and chemical light-absorbing substances within it.
4) Rod reaction is mediated by the substance known as visual purple
What are the Retinal Photoreceptors?
Rods
Cones
Rods
Rods become fully active at Low scotopic levels of illuminance (dim light)
Cones
Cones become fully active at High photopic levels of illuminance (bright light)
What is the ratio of Rods:Cones in the Human Eye?
7million CONES and 120million RODS
Distribution of Cones
Fovea Centralis is densely packed with cones only, there are virtually no rods present.
The distribution of cones decreases from the Central pit to the Periphery at low density.
Distribution of Rods
Rods are concentrated at the outer edges of the Retina and are used in Peripheral Vision.
Sensitivity of Photoreceptors
Rod cells are more sensitive than Cone cell and are almost entirely responsible for Night Vision.
How is the Macula responsible for Critical Vision?
The High Spatial Density of Cones along with the absence of blood vessels at the Fovea accounts for the High Visual Acuity capability at the fovea.
Basic Sign Convention
Concave
Convex
Practical Implication for Concave lenses?
If you have Myopia or Nearsightedness, you would use Diverging, Concave lenses to shift the focus of your eye lens backwards so that it can focus on the Retina.
Practical Implication for Convex lenses?
If you have Hypermetropia or Farsightedness, you would use Converging, Convex lenses to shift the focus of your eye lens closer so that it can focus on the Retina.
Direction of the Incident Light is….
always positive
Ray diagrams are drawn from….
left to right so Cartesian sign convention applies.
Laws of Optical Image Formation:
1) Diagrams are drawn from left to right because incident light initially propagates in this direction.
2) Object and image distances, focal lengths and the radii of curvature are measured from the lens, mirror or surface concerned.
3) Distances measured in the same direction as that in which the incident light is travelling is positive in sign.
4) The vertical distance from the optical axis to a point above it is taken as positive, and to a point below it as negative.
5) Acute angles are positive when produced by anticlockwise rotation from the optic axis, and negative when produced by clockwise rotation.
6) The angle between a ray and the optical axis is measured from the ray to the axis
Define Optical Axis?
Line passing through the centre of cornea, lens and meets retina on nasal side of fovea.
Define Visual Axis?
Line joining fixation point, nodal point and fovea
Define Fixation Axis?
Line joining fixation point and centre of rotation.
Coaxial
Have a common axis
Relationship between Optical AND Visual Axis
The angle between the Optical and Visual axis is the angle Alpha and is considered positive when the Visual axis in object space lies on the nasal side of the Optical axis.
- Positive value of 5’ is common
Donders’ observation that the angle tends to be smaller in myopia and greater in hyperopia.
As for the vertical plane, the visual axis in object space is generally inclined in an upward direction from the optical axis, 2’ is common.
Define Object Space?
The space in relation to an Optical System in which are located the objects to be imaged by the system.
Dioptre
Unit of measure for the refractive power of a lens i.e. the ability of a lens to converge or diverge light.
- 0.25D increments
What is the equation for Dioptre?
D = 1/f
The power of a lens, D = 1/focal length (m)
Reciprocal of focal length in m
What Corrective lens do Myopes require?
Myopia can be corrected by placing a negative, concave lens in front of the eye, causing the incoming light rays to diverge.
What Corrective lens do Hypermetropes require?
Hyperopia can be corrected by placing a positive, convex lens in front of the eye to increase the convergence of the incoming light rays.
Refractive Index
Ability of a medium to bend light
What is the symbol for RI?
n
The presence of a dash or (prime) shows…
that the symbol refers to a quantity after refraction/reflection
What is the symbol for:
Objective Distance Image Distance First Focal length Second Focal length Radius of curvature Objective Height Image Height
l
l’
f
f’ r h h’
Law of Reflection
States that the Incident ray, the Reflected ray, and the Normal to the surface of the mirror all lie in the same plane.
Furthermore, the Angle of Reflection is equal to the Angle of Incidence.
Both angles are measured with respect to the Normal to the mirror.
Why are Symbols in Italics?
Denoting a quantity in italics
e.g.
ƒ is the power of the lens or surface
Why are Symbols in Roman Capitals?
Denoting geometrical points
e.g.
F is the first principle focus
RI Equation
n = c/v
Velocity of light c of a given wavelength in empty space divided by its velocity v in a substance.
Real Object
One from which incident rays diverge
Virtual object
One towards which incident rays are converging as the result of a previous refraction or reflection.
Real image
One towards which refracted or reflected rays converge and is therefore capable of being received on a screen.
Virtual image
One from which refracted or reflected rays appear to originate.
Reduced distances
Distance or thickness of material transversed by a pencil of rays, divided by the refractive index of the given medium.
Gullstrand’s Simplified Schematic Eye
A mathematical or physical model that represents the basic optical features of the real eye.
- The average eye
3 surface model:
- Single surface Cornea
- Crystalline lens considered as a single homogenous entity with 2 refracting surfaces.
Theoretical Optical specification of an idealised eye with average dimensions includes the following 3…
- Curvature of the refracting components of the eye
- Refractive indices of the transparent media in the eye
- Axial dimensions of the components of the eye
To calculate Cardinal points…
The radii of curvatures and distances separating the refractive surfaces must be known.
It is presumed that the cornea and crystalline lens…
Lie on a common Optical Axis so all the refracting surfaces are coaxial.
What is the difference between Schematic Eye and Reduced Eye Models?
Schematic = Multiple refracting surfaces Reduced = Only one refracting surface
Nodal point
Either of two points which are located on the axis of a lens or Optical System so that any incident ray directed through one will produce a parallel emergent ray directed through the other, leaving the system with the same direction.
Listing and Donder’s Reduced Eye Model
The reduced eye model replaces the several refracting bodies of the eye by an ideal air/water interface surface that is located 20 mm from a model retina.
- Cornea is represented as the only source of the refractive power of the eye.
- Lens is completely neglected
Total power of the plane
1 Nodal point
Homogenous RI of Water = 1.33
But the Cardinal point held a relationship to the normal Phakic eye.
What is the power of the eye?
+60D
Define Refraction?
Change in direction of any wave as a result of its travelling through one medium and another or through a medium of varying density.
Light will be refracted in two places when it enters the eye:
- Cornea
2. Lens