1. At z=0, a circular gaussian beam is given by E = E, Exp-, 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[-] 1?dxdy= "" } 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).

Physics for Scientists and Engineers, Technology Update (No access codes included)
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Chapter34: Electromagnetic Waves
Section: Chapter Questions
Problem 34.25P
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please solve subparts (b) and (c)
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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