Abstract

We propose and demonstrate an electro-optic modulator based on a Michelson interferometer with a Gires–Tournois etalon (GTE, or asymmetric Fabry–Perot etalon) in one of the two arms. The insertion of a GTE significantly reduces the required interaction length or the operation voltage. Our experimental and theoretical results agree well. An extension of our setup to a waveguide configuration can lead to practical modulators and switches with greater compactness and reduced operation voltage for optical fiber communications.

© 1999 Optical Society of America

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References

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  1. F. Gires and P. Tournois, C. R. Acad. Sci. 258, 6112 (1964).
  2. B. B. Dingel and M. Izutsu, Opt. Lett. 23, 1099 (1998).
    [CrossRef]
  3. B. B. Dingel, M. Izutsu, and K. Murakawa, Opt. Lett. 22, 1449 (1997).
    [CrossRef]
  4. See, for example, P. Yeh, Optical Waves in Layered Media (Wiley, New York, 1988), p. 150.

1998 (1)

1997 (1)

1964 (1)

F. Gires and P. Tournois, C. R. Acad. Sci. 258, 6112 (1964).

Dingel, B. B.

Gires, F.

F. Gires and P. Tournois, C. R. Acad. Sci. 258, 6112 (1964).

Izutsu, M.

Murakawa, K.

Tournois, P.

F. Gires and P. Tournois, C. R. Acad. Sci. 258, 6112 (1964).

Yeh, P.

See, for example, P. Yeh, Optical Waves in Layered Media (Wiley, New York, 1988), p. 150.

C. R. Acad. Sci. (1)

F. Gires and P. Tournois, C. R. Acad. Sci. 258, 6112 (1964).

Opt. Lett. (2)

Other (1)

See, for example, P. Yeh, Optical Waves in Layered Media (Wiley, New York, 1988), p. 150.

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Figures (5)

Fig. 1
Fig. 1

Schematic of the MGTM: M, mirror; V, dc power supply; C, c axis of the crystal. See text for other definitions.

Fig. 2
Fig. 2

Normalized output intensity of the MGTM versus the applied voltage for various front-mirror reflectivities.

Fig. 3
Fig. 3

Normalized output intensity of the MGTM versus the applied voltage for various arm-length differences and the initial phase of the GTE.

Fig. 4
Fig. 4

Experimental and theoretical simulations of the MGTM. Open circles, conventional Michelson modulator; filled circles, MGTM; dashed curve, theoretical simulation for the conventional Michelson modulator; solid curve, theoretical simulation for the MGTM.

Fig. 5
Fig. 5

Schematic drawing of a waveguide MGTM.

Equations (5)

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r=exp-iΦ=-R+exp-2iϕ1-Rexp-2iϕ,
Φ=-2 tan-11+R1-R tan ϕ.
ϕ=2πλnaLC-L0+2πλneL0-πλne3reoL0Vd=ϕ0-π2VVπ,
Iout1+cosΦ+2α,
r=rF+rB exp-2iϕ1+rFrB exp-2iϕ,

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