OPTICS: How to solve a two lens system with the object in a medium?

In summary, the conversation discusses determining focal length values in a two lens system. The set up includes a light source in a tube surrounded by a medium with a refractive index of 1.52. The first lens has a curved surface with a focal length of Fx and the light then passes through a second lens with a focal length of 1.8 cm and a refractive index of 1.406. The image is focused at 1.8 cm from the second lens. The conversation also mentions trying a y-nu ray trace of the system and asks what would happen if the first lens was divergent or if the size of the second lens changed. The person asking for help knows how to solve a two lens system
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clalburn1420
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Hi All,

I need help determining focal length value in a two lens system. In the set up, the light source (object) is within a tube, a medium surrounds it with refractive index n1=1.52. The end of the tube is met with a curved convergent surface, the center of which is 0.635 cm away and focal length Fχ. The light passes through the surface into air, and then travels a distance of 3 cm to another thin lens (biconvex) with a focal length of 1.8 cm and refractive index n2=1.406. The light then travels through a medium of refractive index n3=1.336 to focus the image at 1.8 cm from the lens. (look to attached image).
How do I determine the focal length (Fx) of the first lens?
What would happen if the first lens was divergent? Would it still form the image?
What would happen in the size of the second lens changed shape?

I know how to solve for a two lens system using the thin lens equation but its really stumping me having the light source inside of the lens medium.
Any help would be so appreciated.
 

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1. How do you determine the focal length of each lens in a two lens system?

The focal length of a lens is determined by its curvature and refractive index. In a two lens system, the focal length of each lens can be found by using the lensmaker's equation, which takes into account the curvature, refractive index, and distance between the lens and the object.

2. How do you calculate the position of the image formed by a two lens system?

The position of the image formed by a two lens system can be calculated by using the thin lens equation, which takes into account the object distance, image distance, and focal length of each lens. The image formed will be a virtual image if the resulting image distance is negative, and a real image if the resulting image distance is positive.

3. What is the significance of the object being in a medium in a two lens system?

The presence of a medium, such as air or water, affects the path of light rays as they pass through the two lenses. This can change the effective focal length of the lenses and the position of the image formed. Therefore, it is important to take into account the medium when solving for a two lens system.

4. Can you use the same equations for a two lens system with the object in a medium as you would for a two lens system in air?

The equations used for solving a two lens system with the object in a medium are similar to those used for solving a two lens system in air, but they do take into account the refractive index of the medium. This means that the focal length and image position calculations may be slightly different, but the overall process for solving the system is the same.

5. What factors can affect the accuracy of the calculations for a two lens system with the object in a medium?

The accuracy of the calculations for a two lens system with the object in a medium can be affected by several factors. These include the accuracy of the refractive index values used for the medium, the accuracy of the measurements of the distances and focal lengths, and any assumptions made in the calculations. Additionally, factors such as the shape and quality of the lenses, as well as any aberrations or imperfections, can also affect the accuracy of the final results.

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