How to find the FWHM-diameter of the SH beam?

Click For Summary
SUMMARY

The discussion focuses on calculating the Full Width at Half Maximum (FWHM) diameter of a second harmonic (SH) beam generated from a Gaussian laser beam with a wavelength of 1064 nm and an initial FWHM-diameter of 5 mm. The SH beam radiates at a wavelength of 532 nm and co-propagates with the fundamental beam. The relationship between the FWHM of the incoming beam and the SH beam is established through the equation dFWHM = ω(z)√2ln2, which requires understanding the propagation characteristics of the beam in nonlinear optics.

PREREQUISITES
  • Understanding of Gaussian beam propagation
  • Knowledge of nonlinear optics principles
  • Familiarity with the concept of Full Width at Half Maximum (FWHM)
  • Basic proficiency in mathematical manipulation of optical equations
NEXT STEPS
  • Study Gaussian beam propagation and its parameters
  • Research nonlinear optical processes and their effects on beam characteristics
  • Learn about the mathematical derivation of FWHM in different contexts
  • Explore the implications of frequency doubling in laser systems
USEFUL FOR

Optical engineers, physicists, and students studying laser technology and nonlinear optics will benefit from this discussion, particularly those interested in beam propagation and frequency conversion processes.

telekom90
Messages
1
Reaction score
0

Homework Statement


Assume a Gaussian laser beam ( 1064 nm wavelength) having an FWHM-diameter(intensity) of 5 mm. By transmission through a thin nonlinear crystal, a new wave is generated that is proportional to the square of the incoming field (and therefore radiates at twice the frequency, or 532nm wavelength). This second harmonic (SH) beam co-propagates with the fundamental laser beam. What is the FWHM-diameter of the SH beam?

Homework Equations



dFWHM = ω(z)√2ln2

The Attempt at a Solution


λ =1064nm, dFWHM=5 mm##, ## λSH=532 nm .
I can't solve this problem because I don't know how to relate this equation "dFWHM=ω(z)√2ln2= 5mm " with the FWHM-diameter of second harmonic (SH) beam?!
 
Physics news on Phys.org
The key word is
telekom90 said:
that is proportional to the square of the incoming field
.
 

Similar threads

Graduate Interference pattern for a laser beam through an AOM
  • · Replies 4 ·
Replies
4
Views
4K
How many photons are there in a 1 m long He-Ne laser beam?
  • · Replies 1 ·
Replies
1
Views
2K
Laser Physics - Diameter of a Spot on the Moon from a Laser
  • · Replies 6 ·
Replies
6
Views
5K
Diffraction Grating Homework: Find the Distance of Bright Fringes
  • · Replies 1 ·
Replies
1
Views
2K
Optimizing Lens Focal Length for Micro-Structure Laser Experiment
  • · Replies 4 ·
Replies
4
Views
2K
Determine the intensity profile and fwhm for gaussian beam.
  • · Replies 5 ·
Replies
5
Views
3K
How Does Light Intensity Change When Two Laser Beams Cross?
  • · Replies 3 ·
Replies
3
Views
2K
Calculating Light Spot Size on the Moon for a Diffraction-Limited Laser Beam
  • · Replies 7 ·
Replies
7
Views
2K
How Does Refraction Affect Laser Beam Diameter?
  • · Replies 3 ·
Replies
3
Views
5K
Laser Beam Diameter which Minimizes Volume?
  • · Replies 1 ·
Replies
1
Views
2K