PPT-Quantifying the Bessel Beam

Josh Nelson Motivation Ultimately we want to understand the Bessel beam we send into fiber optics Thus we must quantify our Bessel beam using a fitting algorithm There is no already made one so it must coded. we have that is a second solution of the di64256erential equation 2 and the two solutions and are clearly linearly independent For 8712 we have 0 1 915 1 1 915 1 since 915 1 0 for 0 n This implies that 1 915 1 0 1 915 1 2 1 0 1 91 intelcom Abstract The Bessel functions are considered relatively dif64257cult to compute Although they have a simple power series expan sion that is everywhere convergent they exhibit approxi mately periodic behavior which makes the direct use of the 02 501 V 75V V IN 2V RMS Operates with a Single 5V Supply 1V RMS Input Range 60 RMS Clock Feedthrough Single 5V Supply Operates up to 8V Supplies TTLCMOSCompatible Clock Input No External Components Available in 14Pin DIP and 16Pin SO Wide Packages : . The differential equation . . (1). . where n is a parameter, is called . Bessel’s Equation of Order n. .. Any solution of . Bessel’s Equation of Order n . is called a . Bessel Function of Order n. . Muons, Inc.. Innovation in research. The Problem: Bunched Beam Tomography. Advanced accelerator beam diagnostics are essential for user facilities that require intense proton beams with small . emittances. Tatiana Rijoff, Frank Zimmermann . ColUSM. #19 - 01/03/2013. long-range beam-beam collisions . perturb motion at large betatron amplitudes. , where particles come close to opposing beam. cause . ‘diffusive aperture’. Quantifying. . Metadata. . Quality. Werner Bailer . | . Europeana. AGM 2015. The Problem. Metadata. . from. . many. . sources. Heterogeneous. . formats. . (. and. . thus. . conversions. ). Different . for . Fiber Optic Communication . Michael Ghoorchian. Fiber Optic. An . optical fiber. is a glass or plastic fiber that carries light along its length so it acts as a Wave guide.. Mostly made of Silicon (not Silicone !). Sciences: QUICK EXAMPLES. #. konfoundit. Kenneth A. . Frank. Ran . Xu; Zixi . Chen. ; I-Chien Chen, Guan Saw. 2018. (. AERA on-line video – cost is . $105. ). Motivation . Statistical inferences are often challenged because of uncontrolled bias. There may be bias due to uncontrolled confounding . Ziam Ghaznavi. CHE 384T Lithography. November 30. th. , 2017. 1. Outline/Agenda. Motivation. Ion – Solid Interactions. Overview of IBL Systems . Future Outlook. 2. Motivation. SEMATECH and the ITRS. Ziam Ghaznavi. CHE 384T Lithography. November 30. th. , 2017. 1. Outline/Agenda. Motivation. Ion – Solid Interactions. Overview of IBL Systems . Future Outlook. 2. Motivation. SEMATECH and the ITRS. Sciences: QUICK EXAMPLES. #. konfoundit. Kenneth A. . Frank. Ran . Xu; Zixi . Chen. ; I-Chien Chen, Guan Saw. 2018. (. AERA on-line video – cost is . $105. ). Motivation . Statistical inferences are often challenged because of uncontrolled bias. There may be bias due to uncontrolled confounding . Midshipman 1/C Daniel Joseph . Whitsett. MIDN 4/C Joe . Dinkel. MIDN 4/C Meredith . Lipp. Professor Svetlana . Avramov-Zamurovic. Weapons/Systems Engineering Department. Motivation. inimum . E. vent . D. istance for . I. ntra-tumour . C. opy-number . C. omparisons. Intra-. tumour. heterogeneity. . Population. Intra-tumor. Spatial. , temporal. Intra-sample. Tissue. Intra-sample.