How Do You Calculate Lens Distances and Magnification in a Projector Design?

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Homework Help Overview

The discussion revolves around designing a projector using a fresnel lens and a projection lens, focusing on calculating the distances between the lenses and the screen, as well as determining the net magnification factor. The original poster seeks to derive equations related to these parameters, given certain known values.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to establish relationships between the distances and focal lengths of the lenses, while also seeking equations for magnification. Some participants suggest looking for standard equations online, but there is uncertainty regarding the availability of specific fresnel lens equations.

Discussion Status

Participants are exploring various approaches to derive the necessary equations. While some guidance has been offered regarding online resources, there is no explicit consensus on the equations themselves, and the original poster expresses difficulty in finding relevant information.

Contextual Notes

The original poster has specific known values, including the focal lengths and the distance from the light source to the fresnel lens, but is seeking to find the distances d2 and d3, as well as the magnification factor. There is an indication of urgency in the request for help.

sharp81
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hi,
i am in need of help pretty quickly here.i will have to design a projector design using a fresnel lens and the projection lens.i need to find and derive the equations for the lenses and calculate the distances between the lenses and the lens and the screen.
this is what i require to have :
d1 - distance from the light source to the fresnel lens
d2 - distance between the fresnel and the projection lens
d3 - distance between the projection lens and the screen
f1,f2 - focal lengths of the fresnel lens
f3,f4 - focal lengths of the projection lens
In my case i know the values of the focal lengths and the distance between the light source and the fresnel lens.

i will have to find d2 and d3. also i need to find the net magnification factor for the light source which will be my object.
any help will be greatly appreciated.
harish
 
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Hi Harish

The equations you are looking for are standard equations that can be found on the Internet. Start by looking up google.com for fresnel lenses and their mathematical basis. You may not get exactly what you want but with a bit of hard work, you'll reach quite close to the desired form of equations.

Try normankoren.com (I am not sure if they have all this but the site is worth visiting anyway if you're interested in cameras/photography/lenses/optics).

Cheers
Vivek
 
i have looked over the net but haven't found anything related to fresnel lens equations
 
sharp81 said:
i have looked over the net but haven't found anything related to fresnel lens equations

That I can't digest :-D...try googling it. Try copernic, webferret, etc.
 
i am thinking these are going to be my focal length equations tell me if they are right
f1 = d1
1/f2 = 1/d1 + 1/(d2+d3)
1/f3 = 1/d2 + 1/d3
Magnification = d3/d2
 

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