1. At z=0, a circular gaussian beam is given by E = E, Exp-- 2 ), where E is the electric field. Wo (1) If the Full-Width-Half-Maximum (FWHM) width for the intensity is 100 µm, please determine the beam width wo (with units). (2) If the total power of the beam is 1 W, please determine the peak electric field Eo (with units). [Hints: SS Exp[-] 1°dxdy= * ] (x²+y²) A w? w? 2 (3) If the wavelength A is 1.55 µm and the gaussian beam propagates in the +z direction, please determine the propagation distance z; at which the beam width becomes doubled (wo -> 2 wo).

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1. At z=0, a circular gaussian beam is given by E = E, Exp-2, where E is the electric field.
(x²4y?)
wo?
(1) If the Full-Width-Half-Maximum (FWHM) width for the intensity is 100 um, please determine the
beam width wo (with units).
(2) If the total power of the beam is 1 W, please determine the peak electric field E, (with units).
(Hints: SS | Exp[- 1²dxdy= "* ]
2
(3) If the wavelength A is 1.55 um and the gaussian beam propagates in the +z direction, please
determine the propagation distance z; at which the beam width becomes doubled (wo -> 2 wo).
Transcribed Image Text:1. At z=0, a circular gaussian beam is given by E = E, Exp-2, where E is the electric field. (x²4y?) wo? (1) If the Full-Width-Half-Maximum (FWHM) width for the intensity is 100 um, please determine the beam width wo (with units). (2) If the total power of the beam is 1 W, please determine the peak electric field E, (with units). (Hints: SS | Exp[- 1²dxdy= "* ] 2 (3) If the wavelength A is 1.55 um and the gaussian beam propagates in the +z direction, please determine the propagation distance z; at which the beam width becomes doubled (wo -> 2 wo).
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