Changes

Jump to navigation Jump to search
Line 77: Line 77:  
*A fluorine resistant regulator will be purchased by the first week in April.
 
*A fluorine resistant regulator will be purchased by the first week in April.
 
==Updates for April 2010==
 
==Updates for April 2010==
[[Image:r0(2)r0(1).jpg|right|thumb|117px|Original Beam Profile]] [[Image:r2.png|right|thumb|117px|Focused Beam Profile]]
+
*A FORTRAN program has been written which simulates rays exiting the laser aperture and then propagating through a fused silica plano-convex lens. Using this program we can now observe the geometry of the beam as it passes through the focusing lens onto a target. We have seen that the beam leaving the laser aperture has a flat top distribution in the X plane and a Gaussian distribution in the Y. As the beam is focused both the X and Y projections achieve Gaussian distributions.   
*A FORTRAN program has been written which simulates rays exiting the laser aperture and then propagating through a fused silica plano-convex lens. Using this program we can observe the geometry of the beam as it passes through the focusing lens onto a target. We have seen that the beam leaving the laser aperture has a flat top distribution in the X plane and a Gaussian in the Y. As the beam is focused projections close to the waist show both the X and Y projections going Gaussian.   
+
{| cellpadding="3" style="text-align: margin: 1em auto 1em auto"
 
+
|-
 +
| [[Image:r0(2)r0(1).jpg|right|thumb|117px|Original Beam Profile]] ||   || [[Image:r2.png|right|thumb|117px|Focused Beam Profile]]
 +
|-
 +
|}
 
*Taking the X and Y projections of the focused beam and fitting them with a Gaussian distribution,  
 
*Taking the X and Y projections of the focused beam and fitting them with a Gaussian distribution,  
 
{| cellpadding="3" style="text-align: margin: 1em auto 1em auto"
 
{| cellpadding="3" style="text-align: margin: 1em auto 1em auto"
Line 88: Line 91:  
|-
 
|-
 
|}
 
|}
 
+
we are able to attain <math>\sigma_{X} = 0.63mm\,</math> and <math>\sigma_{Y} = 0.23mm \,</math>.
 
  −
 
  −
 
  −
we are able to attain <math>\sigma_{X}\,</math> and <math>\sigma_{Y} \,</math>.
   
*Assuming a Gaussian distribution at the waist of the beam, we now find the FWHM (full width at half maximum) by the following relation,  
 
*Assuming a Gaussian distribution at the waist of the beam, we now find the FWHM (full width at half maximum) by the following relation,  
   Line 101: Line 100:  
*Plotting <math>\mathrm\omega_{R}</math> as a function of distance away from the beam waist center, we find an average Rayleigh Length,  
 
*Plotting <math>\mathrm\omega_{R}</math> as a function of distance away from the beam waist center, we find an average Rayleigh Length,  
 
:<math>\mathrm{Z_{RX}} =11.8mm</math> and <math>\mathrm{Z_{RY}} =10.5mm</math>
 
:<math>\mathrm{Z_{RX}} =11.8mm</math> and <math>\mathrm{Z_{RY}} =10.5mm</math>
 +
{| cellpadding="3" style="text-align: margin: 1em auto 1em auto"
 +
|-
 +
| [[Image:x_beam.png|right|thumb|117px|Waist of Beam through X-axis]] || &nbsp; ||
 +
 +
[[Image:y_beam.png|right|thumb|117px||Waist of Beam through Y-axis]]
 +
|-
 +
|}
581

edits

Navigation menu