A Gaussian beam is passing through a 2-lense system:

This means that the outgoing beam will have a larger waist radius compared to the incoming beam. In summary, the best collimation for the outgoing beam can be achieved by setting the distance between the two lenses to match the difference between their focal lengths. The ratio of the outgoing beam waist radius to the incoming beam waist radius is determined by the ratio of the focal lengths.
  • #1
AirForceMomma
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Homework Statement


The first lense has a shorter focal length than the second (f1/f2

The waist of the incoming beam is very far from the lense compared to the focal length & Rayleigh range. What distance between the two lenses would provide the best collimation (Rayleigh range) for the outgoing beam. What is the ratio of the outgoing beam waist radius to the incoming beam waist radius.

Homework Equations





The Attempt at a Solution


 
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  • #2
The best distance between the two lenses would be the difference between the focal lengths of the two lenses. This is because the f1/f2 ratio determines how much the beam is focused, and the difference between the focal lengths determines how close the beam is when it passes through the second lens. Therefore, to get the best collimation, the distance between the two lenses should match the difference between the focal lengths.The ratio of the outgoing beam waist radius to the incoming beam waist radius is determined by the ratio of the focal lengths. For example, if the focal length of the first lens is 1/2 that of the second, then the ratio of the outgoing beam waist radius to the incoming beam waist radius will be 2:1.
 

What is a Gaussian beam?

A Gaussian beam is a type of laser beam that has a bell-shaped intensity profile. It is characterized by a narrow central peak, called the waist, surrounded by gradually decreasing intensity.

What is a 2-lens system?

A 2-lens system is a setup that consists of two lenses placed in succession. The first lens focuses the incoming Gaussian beam, while the second lens further manipulates the beam's properties.

How does a Gaussian beam behave when passing through a 2-lens system?

When passing through a 2-lens system, a Gaussian beam undergoes changes in its intensity profile, beam width, and direction. These changes are determined by the lenses' properties, such as their focal lengths and positions.

What is the purpose of using a 2-lens system with a Gaussian beam?

The purpose of using a 2-lens system with a Gaussian beam is to manipulate the beam's properties to meet specific experimental or practical needs. For example, the system can be used to focus the beam to a smaller spot size or to collimate the beam to travel in a straight line.

What factors influence the output of a Gaussian beam passing through a 2-lens system?

The output of a Gaussian beam passing through a 2-lens system is influenced by several factors, including the properties of the lenses, the distance between the lenses, and the initial properties of the beam, such as its waist size and wavelength.

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