Object magnification after Convex surface

In summary, the conversation discusses an object surrounded by air at a distance of 30 from a convex surface with a radius of 5 and an index of refraction of 1.33. The question is how to determine the magnification of the object, and it is suggested to use the lens maker formula and some simple geometry. It is clarified that the interface between the two materials is not a thin lens and the general equation of refraction at a spherical surface is given.
  • #1
dimensionless
462
1
I have an object that is surrounded by air and sits a distance U=30 from a convex surface. The convex surface has a radius of R=5. The index of refraction of the refracting media is n=1.33. How do I determine the magnification of the object?
 
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  • #2
I think, if you find out where the object falls after refraction using the lens maker forumla([itex]R_2 = \infty [/itex]), you can calculate the magnification using some simple geometry
http://hyperphysics.phy-astr.gsu.edu/hbase/geoopt/lenmak.html"
 
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  • #3
It is not a thin lense. It is a convex interface between two materials.
 
  • #4
dimensionless said:
It is not a thin lense. It is a convex interface between two materials.
My mistake then.
The general equation of refraction at a spherical surface will be

[tex] \frac{\mu_2}{v} - \frac{\mu_1}{u}=\frac{\mu_2 - \mu_1}{R} [/itex]
 

1. What is object magnification after a convex surface?

Object magnification after a convex surface is the increase in size of an object when viewed through a convex lens or mirror. This is due to the bending of light rays as they pass through the curved surface, causing the image to appear larger.

2. How is object magnification calculated?

Object magnification is calculated by dividing the height of the image by the height of the object. This ratio is known as the magnification factor and is denoted by the letter "m". The formula for calculating magnification is m = hi/ho, where hi is the height of the image and ho is the height of the object.

3. What factors affect object magnification after a convex surface?

The factors that affect object magnification after a convex surface include the curvature and refractive index of the convex surface, the distance between the object and the convex surface, and the wavelength of light.

4. How does the distance between the object and the convex surface affect object magnification?

The distance between the object and the convex surface directly affects object magnification. As the distance increases, the object appears smaller and the magnification decreases. Conversely, as the distance decreases, the object appears larger and the magnification increases.

5. What is the difference between lateral and angular magnification?

Lateral magnification refers to the increase in size of the object as seen through the lens or mirror. It is calculated by the ratio of the image distance to the object distance. Angular magnification, on the other hand, refers to the change in angle of the perceived image compared to the actual object. It is calculated by the ratio of the image height to the object height.

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