Download Gaussian Beam Profiling and Propagation Lab Report and more Lab Reports Optics in PDF only on Docsity! OPTICS 471B – LAB 2 –Gaussian Beam Profiling and Propagation Team members who have worked on this assignment: _____________________________________________________________ Total Score:____________ LAB 2 –Gaussian Beam Profiling and Propagation (Post-Lab Questions) (Total: 20 points) Q1. (4 points) For each knife edge location, plot the knife edge position vs. normalized voltage readings. On the same plot, compare the theoretical knife edge integration function (given on slide 26 of Lecture note 1) to what you obtain in the lab. You should make multiple plots, each of which corresponds to a given measurement location along the beam axis. Q2. (4 points) The differences of the slit locations corresponding to the 24% and 76% of power give the standard deviation of the beam (σ) defined in Shack’s geometrical Gaussian beam treatment, and the differences of the slit locations corresponding to the 16% and 84% of power give the beam radius (w) in the classical Gaussian beam treatment. Using the beam measurements you obtained in the lab, for each knife edge location along the beam axis, • Determine the beam radius w(z); • Determine the standard-deviation (STD) radius σ(z); Q3. (6 points) Using the classical beam profiling algorithm provided in the lecture, determine the following beam parameters using w1, w2, and ∆z: • The beam waist (W0); • Rayleigh range z0 and the distances from the beam waist to w1 and w2 location (i.e. z1,z2); • Using the measurements in the Step B to determine where the beam waist locates referenced to laser aperture. • Determine the angular divergence of the beam and the beam diameter at z=10m; • What is the radius of curvature of the wavefront at z=0,z=z0,z=z1 and z=z2? Q4. (6 points) Using Shack’s geometrical approach, determine the following beam parameters using σ1, σ2, and ∆z, • Make a geometrical drawing to show the beam parameters in scale using a CAD program or any other graphical drawing tools or a graph paper and mark the beam waist on the drawing. • Based on the above drawing, calculate the STD radius of the beam waist (σ0), the beam waist (W0), and the distances from the beam waist to σ1 and σ2 location (i.e. z1,z2)