22-Elec-B10 Electro-Optical Engineering: May 2015

Paper format. National Exams, May 2015 — 07-Elec-B10 Electro-Optical Engineering. Three hours, closed book; one 8.5 in × 11 in double-sided sheet of hand-written notes and one approved Casio or Sharp calculator are permitted. Six questions are printed; any five constitute a complete paper and all questions are of equal value (20 marks each). All six are solved here, because the set is a study resource rather than a timed sitting. The constants used throughout are those printed on page 1 of the paper: $\varepsilon_0 = 8.854\times10^{-12}$ F/m, $\mu_0 = 4\pi\times10^{-7}$ H/m, $c = 2.998\times10^{8}$ m/s, $q = 1.602\times10^{-19}$ C, $h = 6.626\times10^{-34}$ J·s, $k = 1.381\times10^{-23}$ J/K, and the semiconductor data (GaAs: $n = 3.63$, $E_g = 1.41$ eV; Si: $E_g = 1.11$ eV; InGaAsP: $n = 3.5$).

Reference texts. The Engineers Canada syllabus for this examination code draws on the standard fibre-optic and photonics texts, and the solutions below cite them by chapter:

• G. Keiser, Optical Fiber Communications, 5th ed., McGraw-Hill — the primary reference for fibre dispersion, sources, detectors, receivers and link budgets.
• B. E. A. Saleh and M. C. Teich, Fundamentals of Photonics, 3rd ed., Wiley — semiconductor sources, laser rate equations and photodetector noise.
• J. Wilson and J. F. B. Hawkes, Optoelectronics: An Introduction, 3rd ed., Prentice Hall — device-level treatment of LEDs, laser diodes and photodiodes.
• J. M. Senior, Optical Fiber Communications: Principles and Practice, 3rd ed., Pearson — rise-time budgets and receiver front-end comparison.