# photonics homework help

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• 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

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