How does Irradiance change with magification?

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SUMMARY

The discussion centers on the relationship between magnification and irradiance in an optical test bench with a magnification factor of 12.5. It is established that irradiance varies inversely with the square of the magnification factor, specifically by a factor of 1/m². Additionally, the k vector's behavior is influenced by magnification, with changes in the separation of diffracted orders being noted. The terms mT (transverse magnification), alpha, and beta (direction cosines) are critical in understanding these relationships.

PREREQUISITES
  • Understanding of optical test benches
  • Knowledge of magnification principles in optics
  • Familiarity with irradiance calculations
  • Basic grasp of vector analysis in optics
NEXT STEPS
  • Research the mathematical relationship between magnification and irradiance in optical systems
  • Explore the implications of transverse magnification (mT) on optical performance
  • Study the behavior of the k vector in relation to diffraction patterns
  • Examine case studies involving two-beam interference in optical setups
USEFUL FOR

Optical engineers, physicists, and researchers involved in optical testing and analysis, particularly those focusing on interference patterns and magnification effects.

ppoonamk
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Hi everyone,

I have an optical test bench. The aim of this test bench is to get a 2 beam interference of the diffracted orders on the image plane. The optical test bench on the whole has a magnification factor of 12.5.

1) I wanted to know how the magnification affects the irradiance. I feel the Irradiance varies by a 1/m^2 factor. Is this correct?
2) How does the k vector change with magification? I know that the separation of the orders changes according to the magnification. I have an attached an image of the equation. mT is the transverse magnification. Alpha and beta are the direction cosines. Is this correct?

Thank you
 

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