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G11_Term 4_L159-160_Lens systems.pptx
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 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. 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 34.2 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
Where is the all image?
Converging Lenses
Object-Image Relations
Where is the all image?
Diverging Lenses
Object-Image Relations
Right or wrong ray diagrams lenses
Solve problems in the lens system
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 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 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 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 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 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 Lenses
If lenses at a distance less than the sum of focal lengths
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 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 Lens and Mirror
do1 =50cm
f1= 30cm
f2= 20cm
d =10cm
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
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