1. At z=0, a circular gaussian beam is given by E = E, Exp- , where E is the electric field. (x²+y²)* (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 E, (with units). (x²+y²) [Hints: SS Exp[-] 1²dxdy= " ] 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). Zf

1. At z=0, a circular gaussian beam is given by E = E, Exp- , where E is the electric field. (x²+y²)* (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 E, (with units). (x²+y²) [Hints: SS Exp[-] 1²dxdy= " ] 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). Zf