Polarization and intensity of a Gaussian beam

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SUMMARY

The discussion centers on the characteristics of Gaussian beams, specifically addressing polarization and intensity. It clarifies that polarization refers to the oscillation direction of the electric field, while intensity is a scalar quantity, not defined as "linear" or "circular." The intensity shape is determined by the beam's profile, and the electric field's polarization vector diminishes in magnitude as one moves away from the center of the beam.

PREREQUISITES
  • Understanding of Gaussian beam theory
  • Familiarity with electromagnetic wave polarization
  • Knowledge of scalar quantities in physics
  • Basic principles of intensity distribution in optics
NEXT STEPS
  • Research Gaussian beam propagation and its mathematical representation
  • Study the effects of polarization on electromagnetic wave behavior
  • Explore intensity distribution profiles in optical systems
  • Investigate the relationship between electric field strength and distance from the beam center
USEFUL FOR

Optical engineers, physicists, and students studying wave optics or electromagnetic theory will benefit from this discussion.

Sciencestd
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The equation above (from Wikipedia), assumed that the Gaussain beam has polarization in x-direction, as I know that the polarization means that the oscillation direction of the electric field and so the intenisty... so how we get circular intensity in every direction which means in x and y, above mentioned it with "r"... I can't connect between the two things..
Thank you.
 
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The versor along the x direction is arbitrary. Any direction, perpendicular to z, is valid.
 
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In addition, intensity is a scalar. We don't have "linear" or "circular" intensity.
 
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Gordianus said:
In addition, intensity is a scalar. We don't have "linear" or "circular" intensity.
Thank you so much for the answers. So what decide the intensity shape?
And the second question can I say that the polarization vector of the electric field is shorter and shorter in the sides?
 
When you move away from the center the electric field gets smaller but it points in the same direction.
 
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