Thin Lens Equation: So Mr = i = - Si Yo Si So Principle Ray: the ray from object to lens that is parallel to the principle (optical) axis will refract in a path that intersects the image focal point. Focal Ray: the ray from the object whose path is directed towards the object focal point will refract in a path parallel the principle (optical) axis. Central Ray: the ray from the object whose path is directed towards the center of the lens (intersection with the principle axis) will emerge from the lens undeflected. Conventions: Quantity Sign Positive (+) Negative (-) Object distance So Real object Virtual object Image distance Si Real image Virtual image Focal length Converging lens Diverging Lens (opposite side of o,i) Object height Yo Erect object Inverted object Image height Yi Erect image Inverted image Magnification (transverse) MT Erect image Inverted image For the following lens configurations, carefully generate a ray trace diagram to locate the image graphically. Use the thin lens equation and magnification equation to completely describe the image (location, orientation, virtual/real, and size) 1. Bi-convex lens, f = 40 units, so = 120 units, yo = 20 units 2. Bi-concave lens, f = 40 units, s, = 120 units, yo = 20 units 3. Bi-convex lens, f = 40 units, so = 20 units, yo = 5 units

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Chapter1: Units, Trigonometry. And Vectors
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+
So
1
Thin Lens Equation:
Mr =
Si
Yo
So
Principle Ray: the ray from object to lens that is parallel to the principle (optical) axis will refract in a path that intersects
the image focal point.
Focal Ray: the ray from the object whose path is directed towards the object focal point will refract in a path parallel the
principle (optical) axis.
Central Ray: the ray from the object whose path is directed towards the center of the lens (intersection with the
principle axis) will emerge from the lens undeflected.
Conventions:
Quantity
Sign
Positive (+)
Negative (-)
Object distance
So
Real object
Virtual object
Image distance
Si
Real image
Virtual image
Focal length
f
Converging lens
Diverging Lens
(opposite side of o,i)
Object height
Yo
Erect object
Inverted object
Image height
Yi
Erect image
Inverted image
Magnification (transverse)
MT
Erect image
Inverted image
For the following lens configurations, carefully generate a ray trace diagram to locate the image graphically. Use the
thin lens equation and magnification equation to completely describe the image (location, orientation, virtual/real, and
size)
1. Bi-convex lens, f
40 иnits, so 3 120 иnits, yo
3D 20 иnits
2. Bi-concave lens, f
40 units, so
3D 120 иnits, yo — 20 иnits
%3D
3. Bi-convex lens, f
4. Bi-concave lens f = 40 units, so = 20 units, yo
40 units, s,
= 20 units, yo
= 5 units
40 units,
Submit ray tracings with results page
Transcribed Image Text:1 + So 1 Thin Lens Equation: Mr = Si Yo So Principle Ray: the ray from object to lens that is parallel to the principle (optical) axis will refract in a path that intersects the image focal point. Focal Ray: the ray from the object whose path is directed towards the object focal point will refract in a path parallel the principle (optical) axis. Central Ray: the ray from the object whose path is directed towards the center of the lens (intersection with the principle axis) will emerge from the lens undeflected. Conventions: Quantity Sign Positive (+) Negative (-) Object distance So Real object Virtual object Image distance Si Real image Virtual image Focal length f Converging lens Diverging Lens (opposite side of o,i) Object height Yo Erect object Inverted object Image height Yi Erect image Inverted image Magnification (transverse) MT Erect image Inverted image For the following lens configurations, carefully generate a ray trace diagram to locate the image graphically. Use the thin lens equation and magnification equation to completely describe the image (location, orientation, virtual/real, and size) 1. Bi-convex lens, f 40 иnits, so 3 120 иnits, yo 3D 20 иnits 2. Bi-concave lens, f 40 units, so 3D 120 иnits, yo — 20 иnits %3D 3. Bi-convex lens, f 4. Bi-concave lens f = 40 units, so = 20 units, yo 40 units, s, = 20 units, yo = 5 units 40 units, Submit ray tracings with results page
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