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- a) Find the inverse Fourier transform of the following: i. 1 4 i. v27 (4+w*) 1 ii. Vov2 7(2- jw)H.W 4: Find the coefficient of Fourier series of the following voltage waveform. Dr. Zeyr fit) E -37/2 -T -T/2 T/2 3T/2 Page 5An NRZ polar code is using the following function to represent the 1's: p(1) =s inc(xt/T,) a) Find (with details) and sketch the power spectral density? b) What is the bandwidth of this line code? c) Does this line code includes a DC component?
- 1. A plane wave in air is incident normally upon the surface of a lossless, nonmagnetic dielectric medium with relative electrical permittivity of 25 at z=0. Incident E field has an amplitude of 10 V/m polarized in +x direction and is of frequency 1 Ghz. Give the total E-field Phasor expression in air. 2. For the problem (1), determine the average power density of the reflected wave, and that of the transmitted wave. 3. Define and explain standing wave ratio. (Give a verbal description and the associated expressions) 4. For the problem (1), sketch the E-field wave pattern (Amplitude versus distance from the boundary) in air medium, indicating all critical vales and compute the standing wave ratio in the medium.F cxrt) @e Evaluate the pababieity damsity POD P = 45* 5 e D Normalize the wavePunctian to determine CA too too P dx =1 = 24*4 dx =1 cE. AFor problem 35 calculate the thickness of the acetone in micrometers if the wavelength of the source is changed to 568.0 nm!! (5 sig figs)
- Draw and describe a typical structure of avalanche photodiode? Why do they make a p+ layer located at the encounter electrode?Lorentzian Spectrum. A light-emitting diode (LED) emits light of Lorentzian spectrum with a linewidth Av (FWHM) = 1013 Hz centered about a frequency corresponding to a wavelength A, = 0.7 µm. Determine the linewidth AA, (in units of nm), the coherence time Te, and the coherence length la. What is the maximum time delay within which the magnitude of the complex degree of temporal coherence [g(7)| is greater than 0.5?H.W: Calculate the beam size (diameter) at the center of the cavity of the following three resonators: 1. r-5m, L=1m 2. r-5m, L-5m. 3. r-5m, L=10m.
- Q1. Solve the following, Assuming the spherical D- layer has a refractive index of 0.75, and the frequency of transmitted signal is 50MHZ, at an angle of incidence t/3 radians. A. Calculate the Electron density B. Find the critical frequency, C. Find Maximum usable frequency, if Nmax = 2x Ncritical(1) Name one non-dispersive medium for electromagnetic wave and explain why you think that your chosen medium is non-dispersive. (2) What is the relation between phase velocity and group velocity in non-dispersive medium?Q.1. The amplitude of a carrier wave lies betwcen 25 mV and 5mV. Calculate the depth of modulation.