Total focal length and magnification

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Discussion Overview

The discussion revolves around the design and functionality of a self-constructed telephoto lens system intended for imaging a cantilever with specific dimensions. Participants explore the relationship between focal lengths and magnification, as well as the implications for working distance in the lens setup.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant describes a telephoto lens system consisting of two lenses, noting that the image magnification is determined by the ratio of their focal lengths.
  • Another participant requests clarification on the setup, questioning the definition of "the cantilever" and suggesting the need for an annotated diagram.
  • A participant reiterates the question of whether total focal length matters when using different lens combinations that yield the same magnification.
  • Further inquiries are made about the use of the lensmaker's equation to calculate working distance, specifically which focal length should be used in the equation.
  • Another participant comments on the use of a telescope rather than a microscope, emphasizing the need for a larger objective lens to maximize light collection while addressing potential distortion issues.

Areas of Agreement / Disagreement

Participants express differing views on the relevance of total focal length in relation to magnification and the appropriate setup for imaging. There is no consensus on the best approach to calculating working distance or the suitability of using a telescope versus a microscope.

Contextual Notes

Participants have not resolved the assumptions regarding object distance and the applicability of the telescope formula. There are also uncertainties about the specific definitions and parameters involved in the lens system.

Aymangh994
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I would like to realize an image of the cantilever. The dimensions are (450x50) microns. I would like to use a self-constructed telephoto lens. This consists of two lenses. The image magnification can be 4 to 8. The magnification of the image is nothing more than the ratio between the two focal lengths of the two lenses. E.g. for f1= 320mm f2=40mm the total f= 35.5mm and the imaging magnification is 8 . Since typical focal lenghts of telephoto are over 50mm, I would like to ask if the total focal length matters? I.e. for f1= 800mm and f2=100mm the total focal length is f=88.89 mm but the image magnification remains the same.
 
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You need to specify more about the set-up. What is "the cantilever"? We need an annotated diagram if you want sensible answers.
Edit: PS I think you are assuming the 'telescope formula' applies but your object distance is not infinite and are you looking at an image or projecting it onto a sensor?
 
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I would like to ask if the total focal length matters using two different combinations of lenses but the magnification still the same.
Combination 1 : f1= 320mm f2=40mm the total f= 35.5mm and M= 8
Combination 2 : f1= 800mm and f2=100mm the total focal length is f=88.89 mm and M= 8
and how to calculate the working distance ?
 
Sketch
following questions :
1. should I use the lensmaker's equation to calculate the working distance ? which focal length should I insert in the equation? the total f or f1 ?
2. The distance between the two lenses and the distance between the CCD-Sensor and the last lens ?
 

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You seem to be using a telescope rather than a microscope. In such a case, the objective lens should be as large as possible to collect maximum light, but may have to be stopped down to reduce distortion. The required magnification is very small - can this be obtained with a single lens?
 
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