4. Sagnac interferometer Consider interferometer shown below. The input beam with amplitude E₁ is split by 50:50 splitter into two beams E₂ and E3. E₂ beam travels around the ring in the clockwise direction, and E3 in counter-clockwise direction. The ring is carefully aligned so that when the beams meet again at the splitter, each travelling the same distance L, they overlap in the two outputs. out 2 Eout 1 E₁ E3 E₂ Show the output 2 is always going to be zero. Use symmetrical, complex coefficients to model the beam splitter.
4. Sagnac interferometer Consider interferometer shown below. The input beam with amplitude E₁ is split by 50:50 splitter into two beams E₂ and E3. E₂ beam travels around the ring in the clockwise direction, and E3 in counter-clockwise direction. The ring is carefully aligned so that when the beams meet again at the splitter, each travelling the same distance L, they overlap in the two outputs. out 2 Eout 1 E₁ E3 E₂ Show the output 2 is always going to be zero. Use symmetrical, complex coefficients to model the beam splitter.
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Author:Robert L. Boylestad
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Transcribed Image Text:4. Sagnac interferometer
Consider interferometer shown below. The input beam with amplitude E, is split by
50:50 splitter into two beams E2 and E3 . E, beam travels around the ring in the
clockwise direction, and E3 in counter-clockwise direction. The ring is carefully aligned
so that when the beams meet again at the splitter, each travelling the same distance L,
they overlap in the two outputs.
Eout 2
E,
Eout
E1
Ez
Show the output 2 is always going to be zero. Use symmetrical, complex coefficients to
model the beam splitter.
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