А) Specify the signs of the radii
А) Specify the signs of the radii
В) Compare the size of the radii of the two lower lenses
Lensmaker’s Equation
1 𝑓 1 1 𝑓 𝑓𝑓 1 𝑓 = 𝑛− 𝑛 0 𝑛 0 𝑛𝑛− 𝑛 0 𝑛𝑛 𝑛 0 0 𝑛 0 𝑛− 𝑛…
1 𝑓 1 1 𝑓 𝑓𝑓 1 𝑓 = 𝑛− 𝑛 0 𝑛 0 𝑛𝑛− 𝑛 0 𝑛𝑛 𝑛 0 0 𝑛 0 𝑛− 𝑛 0 𝑛 0 𝑛 0 𝑛𝑛 𝑛 0 0 𝑛 0 𝑛− 𝑛 0 𝑛 0 1 𝑅 1 − 1 𝑅 2 1 𝑅 1 1 1 𝑅 1 𝑅 1 𝑅𝑅 𝑅 1 1 𝑅 1 1 𝑅 1 − 1 𝑅 2 1 1 𝑅 2 𝑅 2 𝑅𝑅 𝑅 2 2 𝑅 2 1 𝑅 2 1 𝑅 1 − 1 𝑅 2
1 𝑓 1 1 𝑓 𝑓𝑓 1 𝑓 = 𝑛− 𝑛 0 𝑛 0 𝑛𝑛− 𝑛 0 𝑛𝑛 𝑛 0 0 𝑛 0 𝑛− 𝑛 0 𝑛 0 𝑛 0 𝑛𝑛 𝑛 0 0 𝑛 0 𝑛− 𝑛 0 𝑛 0 1 ∾ − 1 𝑅 2 1 ∾ 1 1 ∾ ∾ 1 ∾ − 1 𝑅 2 1 1 𝑅 2 𝑅 2 𝑅𝑅 𝑅 2 2 𝑅 2 1 𝑅 2 1 ∾ − 1 𝑅 2
1 𝑓 1 1 𝑓 𝑓𝑓 1 𝑓 = 𝑛 0− 𝑛 𝑛 0 𝑛 0− 𝑛𝑛 𝑛 0− 0− 𝑛 0− 𝑛𝑛 𝑛 0− 𝑛 𝑛 0 𝑛 0 𝑛𝑛 𝑛 0 0 𝑛 0 𝑛 0− 𝑛 𝑛 0 1 𝑅 1 − 1 𝑅 2 1 𝑅 1 1 1 𝑅 1 𝑅 1 𝑅𝑅 𝑅 1 1 𝑅 1 1 𝑅 1 − 1 𝑅 2 1 1 𝑅 2 𝑅 2 𝑅𝑅 𝑅 2 2 𝑅 2 1 𝑅 2 1 𝑅 1 − 1 𝑅 2
1 𝑑 1 1 𝑑 𝑑𝑑 1 𝑑 = 𝑛− 𝑛 0 𝑛 0 𝑛𝑛− 𝑛 0 𝑛𝑛 𝑛 0 0 𝑛 0 𝑛− 𝑛 0 𝑛 0 𝑛 0 𝑛𝑛 𝑛 0 0 𝑛 0 𝑛− 𝑛 0 𝑛 0 1 𝑅 1 − 1 𝑅 2 1 𝑅 1 1 1 𝑅 1 𝑅 1 𝑅𝑅 𝑅 1 1 𝑅 1 1 𝑅 1 − 1 𝑅 2 1 1 𝑅 2 𝑅 2 𝑅𝑅 𝑅 2 2 𝑅 2 1 𝑅 2 1 𝑅 1 − 1 𝑅 2
1 𝑓 1 1 𝑓 𝑓𝑓 1 𝑓 = 𝑛− 𝑛 0 𝑛 𝑛𝑛− 𝑛 0 𝑛𝑛 𝑛 0 0 𝑛 0 𝑛− 𝑛 0 𝑛 𝑛𝑛 𝑛− 𝑛 0 𝑛 1 𝑅 1 + 1 𝑅 2 1 𝑅 1 1 1 𝑅 1 𝑅 1 𝑅𝑅 𝑅 1 1 𝑅 1 1 𝑅 1 + 1 𝑅 2 1 1 𝑅 2 𝑅 2 𝑅𝑅 𝑅 2 2 𝑅 2 1 𝑅 2 1 𝑅 1 + 1 𝑅 2
1 𝑠 0 1 1 𝑠 0 𝑠 0 𝑠𝑠 𝑠 0 0 𝑠 0 1 𝑠 0 = 𝑛 0− 𝑛 𝑛 𝑛 0− 𝑛𝑛 𝑛 0− 0− 𝑛 0− 𝑛𝑛 𝑛 0− 𝑛 𝑛 𝑛𝑛 𝑛 0− 𝑛 𝑛 − 1 𝑅 1 + 1 𝑅 2 − 1 𝑅 1 1 1 𝑅 1 𝑅 1 𝑅𝑅 𝑅 1 1 𝑅 1 1 𝑅 1 + 1 𝑅 2 1 1 𝑅 2 𝑅 2 𝑅𝑅 𝑅 2 2 𝑅 2 1 𝑅 2 − 1 𝑅 1 + 1 𝑅 2
find mistakes in equations
A glass meniscus lens (n = 1.5) has a concave surface of radius –40 cm and a convex surface whose radius is –20 cm
A glass meniscus lens (n = 1.5) has a concave surface of radius –40 cm and a convex surface whose radius is –20 cm. What is the focal length of the lens.
n = 1.5
R1= -40
R2= -20
f = 80 cm
Example Problem
Lensmaker’s Equation Problems A double concave lens has surface radii of 34
Lensmaker’s Equation Problems
A double concave lens has surface radii of 34.2 cm and 23.8 cm. What is the focal length if n=1.52?
Both surfaces of a double convex lens have radii of 31.0 cm. If the focal length is -28.9 cm, what is the index of refraction of the lens material?
A planoconcave lens (n=1.50) has a focal length of -23.4 cm. What is the radius of the concave surface?
A Lucite planoconcave lens (n=1.51) has one flat surface and the other has R= -18.4 cm. What is the focal length?
A symmetric double convex lens with a focal length of 25.0 cm is to be made from glass with an index of refraction of 1.52. What should be the radius of curvature for each surface?
A prescription for a corrective lens calls for +1.50 D. The lensmaker grinds the lens from a “blank” with n=1.56 and a preformed convex front surface of radius of curvature of 40.0 cm. What should be the radius of curvature of the other surface?
Formative assessment
Lens Combinations 2018-2019
Lens Combinations
2018-2019
Where is the all image?
Where is the all image?
Converging Lenses Object-Image
Converging Lenses
Object-Image Relations
Where is the all image?
Where is the all image?
Diverging Lenses Object-Image Relations
Diverging Lenses
Object-Image Relations
Right or wrong ray diagrams lenses
Right or wrong ray diagrams lenses
Solve problems in the lens system
Solve problems in the lens system
Example 1. System of Converging
Example 1. System of Converging Lenses
If lenses at a distance greater than the sum of focal lengths
Converging Lenses The main focus of the optical system is a point of the main optical axis a which the rays are incident parallel to…
Converging Lenses
The main focus of the optical system is a point of the main optical axis a which the rays are incident parallel to the main optical axis, after they are refracted in the optical system.
If lenses at a distance less than the sum of focal lengths
The focal length of a system Converging
The focal length of a system Converging Lenses
f1
f2
f2
f1
If lenses at a distance less than the sum of focal lengths
Changing the distance d between the lenses allows you to change the focal length F of the optical system.
The focal length of a system Diverging
The focal length of a system Diverging Lenses
f1
f1
f2
If lenses at a distance less than the sum of focal lengths
f2
Changing the distance d between the lenses allows you to change the focal length F of the optical system.
f₁< 0
In a multiple lens system, when the image of the first lens lies behind the second lens, you treat the second lens as a lens…
In a multiple lens system, when the image of the first lens lies behind the second lens, you treat the second lens as a lens of its negative focal length. That is, a converging lens becomes a diverging lens, or a diverging lens can be treated as a converging lens. The ray drawing techniques are applied as usual, and the final image location will be located.
Burns-Schlueter Theorem (BST)
Example 2. System of Converging
Example 2. System of Converging Lenses
If lenses at a distance less than the sum of focal lengths
Optics- Lenses (1 of 5) Lens Combinations - Two Converging Lenses
https://www.youtube.com/watch?v=aHHa0cK_3as&list=PLX2gX-ftPVXWA5TjEhVQSQQzZ-5_5Nui8&index=24
Example 2. System of Converging
Example 2. System of Converging Lenses
If lenses at a distance less than the sum of focal lengths
Example 3. System of Converging and
Example 3. System of Converging and Diverging Lenses
If lenses at a distance less than the sum of focal lengths
Example 4. System of Converging
Example 4. System of Converging Lens and Mirror
https://www.youtube.com/watch?v=aGHnH_4KFRE&list=PLX2gX-ftPVXWA5TjEhVQSQQzZ-5_5Nui8&index=29
Optics: Lenses (5 of 5) Lens Combinations - Converging Lens & Mirror
Example 4. System of Converging
Example 4. System of Converging Lens and Mirror
do1 =50cm f1= 30cm f2= 20cm d =10cm
do1 =50cm
f1= 30cm
f2= 20cm
d =10cm
Lens Combinations - Two Converging
Lens Combinations - Two Converging Lenses
Дано
do1 =50cm
f1= 30cm
f2= 20cm
d =10cm
f1
f2
=75 cm
=15.3cm
Solve problems in the lens system
Solve problems in the lens system
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