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Consider a large diameter Gaussian beam with a planar wavefront and waist of 40 mm at a distance of 1 m from a lens of focal length 100 mm.
A second lens is placed after the first lens with a focal length of -50 mm at a distance 50 mm from the first lens.
(a) Determine the FWHM diameter of the beam 50 mm from the second lens (ie. 100 mm from the first lens.) A third lens is placed at the point with a focal length off.
(b) Determine the focal length necessary for the lens so that the light is focused to a FW 1/e2D on the detector with an active area of 1 mm2 placed at the focal plane.
(c) Make the same calculations for a laser source with an M2 of 1.3.
(d) How does it compare to the Gaussian beam system?
Discuss Performance Architecture and IP-QoS mechanisms which could be deployed to meet QoS expectations of the users for the data and voice traffic on this network.
Find the CTFS coefficients of x(t) (using direct calculations), and those of its integral (using CTFS properties). Use the found CTFS coefficients to generate and plot the integral signal of x(t).
A three phase transformer is constructed from three 3kVA transformer. Secondaries are wired in Delta configuration with a balanced load. What is the maximun combined power that can be delivered to the load
An unknown semiconductor has Eg = 1.1 eV and Nc = Nv. It is doped with 10^15 cm^-3 donors where the donor level is 0.2 eV below Ec. Given that Ef is 0.25 eV below Ec, calculate ni and the concentration of electrons and holes in the semiconductor a..
Consider a discrete time system whose output y[n] is given by y[n] = 5/6y[n - 1] - 1/6y[n - 2] with y[-1] = 0 and y[-2] = 1. Determine the response y[n] of this system for all n using complex domain (not time domain) analysis techniques involving ..
The circuit is also required to recognize overlapping sequence such that if the input string is x = 1101111111010 then the output will be z = 0000001111000. Use D Flip-Flops AND a separate design with JK Flip-Flops.
Design a circuit using a thermister in a Wheatstone bridge and a comparator to turn on a furnace when the temperature drops below 70 ?F. Use real components selected from an online distributor, such as Digi-Key or Mouser
What bit pattern (after you remove the beginning and ending flags and any stuffed bits) will the receiver pass on for higher level processing?
f(t) = (2+j2)e^(-3jt)+j2e^(-jt)+3-j2e^(jt)+(2-j2)e^(j3t) a) Sketch the exponential fourier spectra b) By inspection of part a sketch the trigonometric Fourier spectra c) Find the compact trigonometric Foreir series
Two friends A and B meet every morning at the Grand Central Station around 7 am. Suppose the actual times they arrive are independent and uniformly distributed between 6:55 am and 7:05am.
placing the compensator or zero such that it will cancel the open-loop pole at -1. For both compensators you design, show the corresponding closed-loop transfer functions and compare the transient responses (P.O. and Ts).
What is the inductance L of the primary of a transformer whose input is 220 V at 60 Hz and the current drawn is 5.8A? Assume no current in the secondary.
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