Question
Download Solution PDF__________ number of 3-dB couplers are needed for a 64 × 64 bi-directional star coupler.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
In optical communication, a star coupler is used to distribute optical signals among multiple ports. For an \( N \times N \) **bi-directional star coupler**, the number of **3-dB couplers** needed is given by the formula:
\( \frac{N}{2} \times \log_2 N \)
Given:
N = 64
Calculation:
\( \log_2 64 = 6 \)
\( \text{Number of 3-dB couplers} = \frac{64}{2} \times 6 = 32 \times 6 = 192 \)
Correct Answer: 3) 192
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