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*The Rayleigh Length, <math>\mathrm{Z_{R}}</math> is defined as the distance from the beam waist along the axis of propagation to the point where its cross section is doubled, <math>\mathrm\omega_{R}</math>. Taking <math>\mathrm\omega_{0}</math> as the beam waist, and using the <math>\mathrm{FWHM}</math> as its value we are looking for the point where  
 
*The Rayleigh Length, <math>\mathrm{Z_{R}}</math> is defined as the distance from the beam waist along the axis of propagation to the point where its cross section is doubled, <math>\mathrm\omega_{R}</math>. Taking <math>\mathrm\omega_{0}</math> as the beam waist, and using the <math>\mathrm{FWHM}</math> as its value we are looking for the point where  
 
:<math>\omega_{R} = \sqrt{2}\ \omega_{0}. </math>
 
:<math>\omega_{R} = \sqrt{2}\ \omega_{0}. </math>
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[[Image:rayleigh.png|center|thumb|Describes the Rayleigh Length of a beam waist <math>\omega_{0}</math>.]]
 
*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>
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