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Expert help when you need it- Q1:3) A single laser source is to be used in an optical fibre detection network containing 4 different detection channels, each of which is 18km away from the source. This can be achieved using a 1:4 optical fibre splitter, which allows 25% of the power from the laser to pass down each channel. If the fibre has an attenuation coefficient of 0.5dB/km and the required output power is 0.35μW what is the required laser power assuming no joint losses, margin or penalties.See Answer
- Q2:2) A particular type of optical fibre demonstrated a loss of 40% in a length of 7km. In a 35km link using this type of fibre the required output is 0.2μW. What is the minimum possible launched power assuming no joint losses, margin or penalties?See Answer
- Q3:The intensity transmission of a micro-ring resonator connected to a single bus waveguide is given by the following equation: T² (2) = r² + y²2ry cos (KLT) 1+ (ry)² - 2ry cos(kLr) Where k=neff2/2 is the wave vector, r is the self-coupling field coefficient, y is the single-pass field amplitude transmission given by y² = e-ar, a are the waveguide losses, L₁=27*R is the cavity round trip and R is the cavity radius. a) Calculate the Free-Spectral Range (FSR) of a resonator operating at a wavelength 1-1550 nm with radius R=10 μm, losses a-3 cm³¹, a self-coupling field coefficient r=0.9, and effective index neff-3.5. (Assume ng=neff). b) Using the resonator parameters defined in section a) and a self-coupling field coefficient r=0.9, plot the intensity transmission as a function of the wavelength over a few spectral ranges. Consider a centre wavelength 1550 nm for your plot. c) Using the resonator parameters defined in section a), plot the intensity transmission at resonance over the range of self-coupling field coefficients r=0.98 -0.995 with increments Ar= 0.001. d) Calculate the single-pass field amplitude transmission y and discuss the results of section c) for r<y, r= y and r> y.See Answer
- Q4:Problem 2. Show that if a Fabry-Perot etalon has an intensity gain per pass of G, its peak (1-R)2G transmission is given as (1-RG)2 Problem 3. Starting with the definition F=m+1 for the finesse of a Fabry-Perot etalon Av1/2 and using semi-quantitative arguments, show why in the case where the root-mean square surface deviation from the perfect flatness is approximately A/N, the finesse cannot exceed FN/(2n), where N is some constant, n is the refractive index of the etalon's medium and the medium outside the etalon is air. [Hint: Consider the spreading of the transmission peak due to a small num- ber of etalons of nearly equal length transmitting in parallel.] Note that A1/2 is the frequency width of the transmission resonance around each resonance frequency Vm such that I/I, 0.5 at v = Vm ± Aas will be discussed in class, also known as full-width half-maximum or FWHM linewidth.See Answer
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