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22-Elec-B10 Electro-Optical Engineering: December 2017

Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)

  1. Question 1 Step-index fibre — acceptance, cladding index, mode count and intermodal dispersion
  2. Question 2 The pin photodiode — structure, fields, photoconductive operation, responsivity and response time
  3. Question 3 InGaAsP Fabry–Perot laser diode — photon and carrier lifetimes, mode spacing and output power
  4. Question 4 Digital fibre-link design — dispersion limit, attenuation limit and repeater spacing
  5. Question 5 Longitudinal LiNbO$_3$ Pockels-cell modulator — half-wave voltage, $R$ and $C$, and drive power
  6. Question 6 pin diode with a transimpedance front end — responsivity, bandwidth and required optical power
  7. Question 7 Graded-index versus step-index fibre — total dispersion and bandwidth–distance product

Start with Question 1 →

Paper format. 16-Elec-B10, Electro-Optical Engineering — National Exams, December 2017. Three hours, closed book; one 8.5 in × 11 in double-sided sheet of hand-written notes and a Casio or Sharp approved calculator are permitted. Seven questions, all of equal value (20 marks each); the rubric says any five questions constitute a complete paper. All seven are solved below, because the set is a study resource rather than a timed sitting.

Reference texts.

Physical constants are the ones printed on page 1 of the examination paper: $c = 2.998\times10^{8}\ \text{m/s}$, $q = 1.602\times10^{-19}\ \text{C}$, $h = 6.626\times10^{-34}\ \text{J}\cdot\text{s}$, $k = 1.381\times10^{-23}\ \text{J/K}$, $\varepsilon_{0} = 8.854\times10^{-12}\ \text{F/m}$, and for the modulator crystal $\varepsilon_{r}(\text{LiNbO}_3) = 32$, $n_{o} = 2.30$, $r = 30\ \text{pm/V}$.

Check: two book-keeping notes on the source paper. The page-5 marking scheme lists five sub-parts, (a)–(e), for Questions 5 and 7, but the printed questions on pages 3 and 4 carry only four sub-parts each; the mark totals still come to 20, so the extra row is a marking-sheet artefact and every printed sub-part is answered here. Question 6 also carries the hand-added annotation “rework this one” next to its heading — an examiner’s note on the printed paper, not part of the question. It is solved exactly as printed.