Self-Reproducing Rays in a symmetric Resonator

In summary, Self-Reproducing Rays in a symmetric resonator are light rays that continuously replicate themselves within a resonator. This phenomenon occurs when a light beam is directed into the resonator with specific conditions. The study of Self-Reproducing Rays has implications in optics and laser technology and can be controlled through various methods. Factors such as geometry, materials, and wavelength can affect the self-reproduction process.
  • #1
tuanle007
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Homework Statement




Self-Reproducing Rays in a symmetric Resonator. Consider a symmetric resonator using two concave mirrors of radii R separated by a distance d=3|R|/2. After how many round trips through the resonator will a ray retrace its path?

Homework Equations





The Attempt at a Solution



i don't know where to start and equations to work with
 
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  • #2
I'd start by looking up the focal length of a mirror of radius R.
 

FAQ: Self-Reproducing Rays in a symmetric Resonator

What are Self-Reproducing Rays in a Symmetric Resonator?

Self-Reproducing Rays in a symmetric resonator refer to the phenomenon of light rays that are continuously self-replicating within a resonator. This means that the light beams reflect off the walls of the resonator in such a way that they create new light beams that are identical to the original beam.

How are Self-Reproducing Rays created in a Symmetric Resonator?

Self-Reproducing Rays are created when a light beam is directed into a symmetric resonator with a specific geometry and reflective properties. The light beam reflects off the walls of the resonator, creating new beams that are parallel to the original beam. This process continues as long as the conditions for self-reproduction are met.

What is the significance of Self-Reproducing Rays in a Symmetric Resonator?

The study of Self-Reproducing Rays in a symmetric resonator has important implications in the field of optics and laser technology. It can lead to the development of new types of lasers with enhanced beam quality and stability. It also has potential applications in optical communication and sensing systems.

What factors affect the Self-Reproduction of Rays in a Symmetric Resonator?

The self-reproduction of rays in a symmetric resonator is influenced by several factors such as the geometry and materials of the resonator, the wavelength of the light beam, and the angle of incidence. Any changes in these parameters can affect the stability and quality of the self-reproducing process.

How can Self-Reproducing Rays be controlled in a Symmetric Resonator?

There are various methods to control the self-reproduction of rays in a symmetric resonator. These include adjusting the geometry and reflective properties of the resonator, using external mirrors to redirect the beams, and applying external forces such as electric or magnetic fields. These methods can be used to manipulate the self-reproducing process for specific applications.

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