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OBJECTIVES:
1. Discuss principles of pinhole imaging,
   mirror and lenses.
2. Define object and image characteristics
3. Discuss principles of light propagation
GEOMETRICAL OPTICS
 Deals primarily with imaging
PHYSICAL OPTICS
  Wave nature of light
QUANTUM OPTICS
  Particle nature of light and interaction of
  light and matter
DEFINITION OF TERMS
 CONJUGATE- correspondence between
  object and image points
 RAY- the route that light follows as it
  travels from an object point to the image
  point
 PENCIL of light- small bundle of rays that
  travel in the same direction
PINHOLE IMAGING
OBJECT CHARACTERISTICS
   REAL objects
    ◦ Can be felt, touched, located in front of the
      optical system
   VIRTUAL objects
    ◦ Cannot be felt or touched, located behind an
      imaging system
   LUMINOUS
    ◦ Objects that produces its own light (eg.
      candle)
IMAGE CHARACTERISTICS
MAGNIFICATION
 Most important
 enlargement
 Making images smaller or larger than the
  object
 ◦ Transverse = image height/ object height
 ◦ Axial
 ◦ angular
4 cm
Object
Height




                                        Image
                                 2 cm   height




    Transverse magnification = 2/4 = -0.5
   AXIAL MAGNIFICATION
    ◦ Aka longitudinal magnification
    ◦ Axial magnification = ( transverse magnification) 2
   ANGULAR MAGNIFICATION
    ◦ The ratio of the angle subtended by an object
      without the lens or magnifier
IMAGE LOCATION
 The distance between a reference point
  and the image
 Reference point- back surface of the lens
 Positive- image is right to the reference
  point
DEPTH OF FOCUS

                 Image appears
                  sharp within
                   this region
DEPTH OF FIELD
Object w/n this
region appear
 sharp in the
                  DEPTH OF FIELD
    image
IMAGE QUALITY
 Images are imperfect facsimiles.
 Each object point produces a 2- mm
  diameter spot in the image= BLUR circles
 STIGMATIC IMAGE- a perfect point
  image of an object point
 The smaller the blur circle- less image
  details lost
BRIGHTNESS and IRRADIANCE
 BRIGHTNESS-
 A visual perception
 The response of the nervous system to
  light entering the eye
 IRRADIANCE
 A purely physical measure of the amount
  of light per unit of an image
 Important in calibration of perimeter
Wavelength
570 nm
LIGHT PROPAGATION
OPTICAL MEDIA AND
REFRACTIVE INDEX
 Medium- any material that transmits light
 Light travels at different speeds in
  different media
 REFRACTIVE INDEX-
 N= speed of light in vacuum
            speed of light in medium
    ◦ is always greater or equal to 1
REFRACTIVE INDEX FOR SOME
   MATERIALS OF CLINICAL INTEREST
MATERIALS          REFRACTIVE INDEX
AIR                1.0000
WATER              1.3333
CORNEA             1.376
AQUEOUS/VITREOUS   1.336
SPECTACLE CROWN    1.523
GLASS
PMMA               1.492
   Dispersion- short
    wavelengths travel
    slowly than long
    wavelengths
   Leads to chromatic
    abberation
   Eye- 0.5 D of
    chromatic abberation
RED    BLUE

BLUE    RED

RED    BLUE
LAW OF RECTILINEAR
PROPAGATION
 Light in a single medium travels along
  straight- line paths called rays
 Pencil of light- a bundle of rays traveling
  close to each other in the same direction
OPTICAL INTERFACE
 The boundary separating 2 different
  optical media
 Smooth- light undergo specular reflection
  and transmssion
 Rough- diffuse reflection and transmission
Smooth optical interface
SPECULAR REFLECTION:
 LAW OF REFLECTION
 The direction of the reflected ray bears a
  definite relationship to the direction of
  the incident ray
 Reflected ray lies in the same plane as
  the incident ray and the surface normal
  and that θ i = θr
Smooth optical interface




θi
     θr
 Reflection coefficient
 Used to calculate the amount of light
  transmitted at an optical surface


           R=     n2-n1   2


                 n2+n1
How much more reflective is an acrylic IOL than a silicone
IOL? Assume that the index of refraction of acrylic is 1.55 and
the silicone is 1.43. ( aqueous= 1.33)
        R acrylic =   1.55-1.33       2
                     1.55+1.33
        0.0584 =0.584%
        R silicone= 1.43 - 1.33           2
                    1.43 + 1.33
        0.00131= 0.131%
         0.584/0.131= 4.46
SPECULAR TRANSMISSION: Law
of Refraction
 The transmitted ray’s direction bears a
  definite relation to the incident’s ray
  direction
 Snell’s law= the refracted or transmitted
  ray lies in the same plane as the incident
  ray and the surface normal
 Light- lower- higher refractive index–
  bends toward the surface normal
N1<n2              optical interface
                                       N1>n2
Incident ray




     θi
                                         θi
               θ
  Surface normal                               θt
TOTAL INTERNAL REFLECTION
 Occurs when light travels from a high-
  index medium to a low –index medium
  and the angle of incidence exceeds a
  certain critical angle
 Critical angle- angle of incidence that
  produces a transmitted ray 90° to the
  surface normal
DISPERSION
Refractive indices are not fixed values
 Refractive indices- wavelengths
Fermat’s principle
   Light travels from one point to another along
    the path requiring the least time
   Optical path length- distance light travels in a
    given medium multiplied by the medium’s
    refractive index
   e.g
   Light travels 5 cm in air (n= 1.000) and 10 cm in
    glass ( n= 1.523)
   OPL= 5 cm x 1.000+ 10 cmx 1.523=
   20.2 cm
B



A   air


          glass
Path 1
O                     I

    Path 2
“I have been a multitude of shapes, Before I assumed a consistent form”-
Taliesin

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geometrical Optics

  • 1.
  • 2. OBJECTIVES: 1. Discuss principles of pinhole imaging, mirror and lenses. 2. Define object and image characteristics 3. Discuss principles of light propagation
  • 3. GEOMETRICAL OPTICS  Deals primarily with imaging PHYSICAL OPTICS Wave nature of light QUANTUM OPTICS Particle nature of light and interaction of light and matter
  • 4. DEFINITION OF TERMS  CONJUGATE- correspondence between object and image points  RAY- the route that light follows as it travels from an object point to the image point  PENCIL of light- small bundle of rays that travel in the same direction
  • 5.
  • 7.
  • 8.
  • 9. OBJECT CHARACTERISTICS  REAL objects ◦ Can be felt, touched, located in front of the optical system  VIRTUAL objects ◦ Cannot be felt or touched, located behind an imaging system  LUMINOUS ◦ Objects that produces its own light (eg. candle)
  • 10. IMAGE CHARACTERISTICS MAGNIFICATION  Most important  enlargement  Making images smaller or larger than the object ◦ Transverse = image height/ object height ◦ Axial ◦ angular
  • 11. 4 cm Object Height Image 2 cm height Transverse magnification = 2/4 = -0.5
  • 12. AXIAL MAGNIFICATION ◦ Aka longitudinal magnification ◦ Axial magnification = ( transverse magnification) 2  ANGULAR MAGNIFICATION ◦ The ratio of the angle subtended by an object without the lens or magnifier
  • 13. IMAGE LOCATION  The distance between a reference point and the image  Reference point- back surface of the lens  Positive- image is right to the reference point
  • 14. DEPTH OF FOCUS Image appears sharp within this region
  • 15.
  • 17. Object w/n this region appear sharp in the DEPTH OF FIELD image
  • 18. IMAGE QUALITY  Images are imperfect facsimiles.  Each object point produces a 2- mm diameter spot in the image= BLUR circles  STIGMATIC IMAGE- a perfect point image of an object point  The smaller the blur circle- less image details lost
  • 19. BRIGHTNESS and IRRADIANCE  BRIGHTNESS-  A visual perception  The response of the nervous system to light entering the eye  IRRADIANCE  A purely physical measure of the amount of light per unit of an image  Important in calibration of perimeter
  • 22. OPTICAL MEDIA AND REFRACTIVE INDEX  Medium- any material that transmits light  Light travels at different speeds in different media  REFRACTIVE INDEX-  N= speed of light in vacuum speed of light in medium ◦ is always greater or equal to 1
  • 23. REFRACTIVE INDEX FOR SOME MATERIALS OF CLINICAL INTEREST MATERIALS REFRACTIVE INDEX AIR 1.0000 WATER 1.3333 CORNEA 1.376 AQUEOUS/VITREOUS 1.336 SPECTACLE CROWN 1.523 GLASS PMMA 1.492
  • 24. Dispersion- short wavelengths travel slowly than long wavelengths  Leads to chromatic abberation  Eye- 0.5 D of chromatic abberation
  • 25. RED BLUE BLUE RED RED BLUE
  • 26. LAW OF RECTILINEAR PROPAGATION  Light in a single medium travels along straight- line paths called rays  Pencil of light- a bundle of rays traveling close to each other in the same direction
  • 27.
  • 28. OPTICAL INTERFACE  The boundary separating 2 different optical media  Smooth- light undergo specular reflection and transmssion  Rough- diffuse reflection and transmission
  • 30.
  • 31.
  • 32. SPECULAR REFLECTION: LAW OF REFLECTION  The direction of the reflected ray bears a definite relationship to the direction of the incident ray  Reflected ray lies in the same plane as the incident ray and the surface normal and that θ i = θr
  • 34.
  • 35.  Reflection coefficient  Used to calculate the amount of light transmitted at an optical surface R= n2-n1 2 n2+n1
  • 36. How much more reflective is an acrylic IOL than a silicone IOL? Assume that the index of refraction of acrylic is 1.55 and the silicone is 1.43. ( aqueous= 1.33) R acrylic = 1.55-1.33 2 1.55+1.33 0.0584 =0.584% R silicone= 1.43 - 1.33 2 1.43 + 1.33 0.00131= 0.131%  0.584/0.131= 4.46
  • 37. SPECULAR TRANSMISSION: Law of Refraction  The transmitted ray’s direction bears a definite relation to the incident’s ray direction  Snell’s law= the refracted or transmitted ray lies in the same plane as the incident ray and the surface normal  Light- lower- higher refractive index– bends toward the surface normal
  • 38. N1<n2 optical interface N1>n2 Incident ray θi θi θ Surface normal θt
  • 39. TOTAL INTERNAL REFLECTION  Occurs when light travels from a high- index medium to a low –index medium and the angle of incidence exceeds a certain critical angle  Critical angle- angle of incidence that produces a transmitted ray 90° to the surface normal
  • 40.
  • 41.
  • 42. DISPERSION Refractive indices are not fixed values  Refractive indices- wavelengths
  • 43. Fermat’s principle  Light travels from one point to another along the path requiring the least time  Optical path length- distance light travels in a given medium multiplied by the medium’s refractive index  e.g  Light travels 5 cm in air (n= 1.000) and 10 cm in glass ( n= 1.523)  OPL= 5 cm x 1.000+ 10 cmx 1.523=  20.2 cm
  • 44. B A air glass
  • 45. Path 1 O I Path 2
  • 46.
  • 47. “I have been a multitude of shapes, Before I assumed a consistent form”- Taliesin