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1. At z=0, a circular gaussian beam is given by E= E, Expl-), where E is the electric field. (1) If the Full-Width-Half-Maximum (FWHM) width for the intensity is 100 um, please determine the beam width w, (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(-" |²dxdy= "] (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).

1. At z=0, a circular gaussian beam is given by E= E, Expl-), where E is the electric field. (1) If the Full-Width-Half-Maximum (FWHM) width for the intensity is 100 um, please determine the beam width w, (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(-" |²dxdy= "] (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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1. At z=0, a circular gaussian beam is given by E = E, Exp -], where E is the electric field. Wo (1) If the Full-Width-Half-Maximum (FWHM) width for the intensity is 100 pm, 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). (x+ (Hints: SS | Exp[-] ²dxdy= "" ] (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).
Transcribed Image Text:1. At z=0, a circular gaussian beam is given by E = E, Exp -], where E is the electric field. Wo (1) If the Full-Width-Half-Maximum (FWHM) width for the intensity is 100 pm, 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). (x+ (Hints: SS | Exp[-] ²dxdy= "" ] (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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