Abstract

Evidence of bistability induced by radiation pressure in a system operating at millimeter bandwidth is presented. The transmittance of a microwave cavity equipped with a movable mirror becomes bistable under the variation of two control parameters: the incident field intensity and the incident field frequency. Good agreement between theory and experiment has been achieved.

© 1985 Optical Society of America

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References

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  1. A. Dorsel, J. D. McCullen, P. Meystre, E. Vignes, H. Walther, Phys. Rev. Lett., 51, 1550 (1983).
    [CrossRef]
  2. A. Gozzini, I. Longo, F. Maccarrone, Nuovo Cimento D 1, 489 (1982).
    [CrossRef]
  3. E. Arimondo, A. Gozzini, L. Lovitch, E. Pistelli, in Optical Bistability (Plenum, New York, 1981), p. 151.
    [CrossRef]
  4. G. Boudoris, P. Chevenier, in Circuits pour ondes guidés (Dunod, Paris, 1975).
  5. L. D. Landau, E. M. Lifshits, Mechanics (Pergamon, New York, 1976), pp. 87–89.
  6. J. D. McCullen, P. Meystre, E. M. Wright, Opt. Lett. 9, 1983 (1984).
    [CrossRef]

1984 (1)

J. D. McCullen, P. Meystre, E. M. Wright, Opt. Lett. 9, 1983 (1984).
[CrossRef]

1983 (1)

A. Dorsel, J. D. McCullen, P. Meystre, E. Vignes, H. Walther, Phys. Rev. Lett., 51, 1550 (1983).
[CrossRef]

1982 (1)

A. Gozzini, I. Longo, F. Maccarrone, Nuovo Cimento D 1, 489 (1982).
[CrossRef]

Arimondo, E.

E. Arimondo, A. Gozzini, L. Lovitch, E. Pistelli, in Optical Bistability (Plenum, New York, 1981), p. 151.
[CrossRef]

Boudoris, G.

G. Boudoris, P. Chevenier, in Circuits pour ondes guidés (Dunod, Paris, 1975).

Chevenier, P.

G. Boudoris, P. Chevenier, in Circuits pour ondes guidés (Dunod, Paris, 1975).

Dorsel, A.

A. Dorsel, J. D. McCullen, P. Meystre, E. Vignes, H. Walther, Phys. Rev. Lett., 51, 1550 (1983).
[CrossRef]

Gozzini, A.

A. Gozzini, I. Longo, F. Maccarrone, Nuovo Cimento D 1, 489 (1982).
[CrossRef]

E. Arimondo, A. Gozzini, L. Lovitch, E. Pistelli, in Optical Bistability (Plenum, New York, 1981), p. 151.
[CrossRef]

Landau, L. D.

L. D. Landau, E. M. Lifshits, Mechanics (Pergamon, New York, 1976), pp. 87–89.

Lifshits, E. M.

L. D. Landau, E. M. Lifshits, Mechanics (Pergamon, New York, 1976), pp. 87–89.

Longo, I.

A. Gozzini, I. Longo, F. Maccarrone, Nuovo Cimento D 1, 489 (1982).
[CrossRef]

Lovitch, L.

E. Arimondo, A. Gozzini, L. Lovitch, E. Pistelli, in Optical Bistability (Plenum, New York, 1981), p. 151.
[CrossRef]

Maccarrone, F.

A. Gozzini, I. Longo, F. Maccarrone, Nuovo Cimento D 1, 489 (1982).
[CrossRef]

McCullen, J. D.

J. D. McCullen, P. Meystre, E. M. Wright, Opt. Lett. 9, 1983 (1984).
[CrossRef]

A. Dorsel, J. D. McCullen, P. Meystre, E. Vignes, H. Walther, Phys. Rev. Lett., 51, 1550 (1983).
[CrossRef]

Meystre, P.

J. D. McCullen, P. Meystre, E. M. Wright, Opt. Lett. 9, 1983 (1984).
[CrossRef]

A. Dorsel, J. D. McCullen, P. Meystre, E. Vignes, H. Walther, Phys. Rev. Lett., 51, 1550 (1983).
[CrossRef]

Pistelli, E.

E. Arimondo, A. Gozzini, L. Lovitch, E. Pistelli, in Optical Bistability (Plenum, New York, 1981), p. 151.
[CrossRef]

Vignes, E.

A. Dorsel, J. D. McCullen, P. Meystre, E. Vignes, H. Walther, Phys. Rev. Lett., 51, 1550 (1983).
[CrossRef]

Walther, H.

A. Dorsel, J. D. McCullen, P. Meystre, E. Vignes, H. Walther, Phys. Rev. Lett., 51, 1550 (1983).
[CrossRef]

Wright, E. M.

J. D. McCullen, P. Meystre, E. M. Wright, Opt. Lett. 9, 1983 (1984).
[CrossRef]

Nuovo Cimento D (1)

A. Gozzini, I. Longo, F. Maccarrone, Nuovo Cimento D 1, 489 (1982).
[CrossRef]

Opt. Lett. (1)

J. D. McCullen, P. Meystre, E. M. Wright, Opt. Lett. 9, 1983 (1984).
[CrossRef]

Phys. Rev. Lett. (1)

A. Dorsel, J. D. McCullen, P. Meystre, E. Vignes, H. Walther, Phys. Rev. Lett., 51, 1550 (1983).
[CrossRef]

Other (3)

E. Arimondo, A. Gozzini, L. Lovitch, E. Pistelli, in Optical Bistability (Plenum, New York, 1981), p. 151.
[CrossRef]

G. Boudoris, P. Chevenier, in Circuits pour ondes guidés (Dunod, Paris, 1975).

L. D. Landau, E. M. Lifshits, Mechanics (Pergamon, New York, 1976), pp. 87–89.

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Figures (6)

Fig. 1
Fig. 1

Schematic drawing of the microwave cavity.

Fig. 2
Fig. 2

Sketch of the experimental setup: C, carcinotron tube; PS, carcinotron power supply; TG, triangular wave-form generator; UL, microwave isolator; VA, motor-driven variable attenuator; NLR, nonlinear resonator; D, crystal detector.

Fig. 3
Fig. 3

Pt versus Pi calculated from Eqs. (2) and (3) for ν0(xeq) = 34 GHz and different values of initial detuning δ0. (a) δ0 = 7 MHz; (b) δ0 = 5 MHz; (c) δ0 = 3 MHz.

Fig. 4
Fig. 4

Pt calculated as a function of the incident-field frequency for different values of Pi. (a) Pi = 6 W; (b) Pi = 2 W; (c) Pi = 200 mW. In the absence of radiation the cavity resonates at 34 GHz.

Fig. 5
Fig. 5

Experimental curves for Pt versus Pi for different values of δ0. (a) δ0 = 6 MHz; (b) δ0 = 5 MHz; (c) δ0 = 3.5 MHz; (d) δ0 = 2 MHz.

Fig. 6
Fig. 6

Experimental curves for Pt versus δ0 for different values of input power Pi. (a) Pi = 3.5 W; (b) Pi = 2.5 W; (c) Pi = 1.8 W; (d) Pi = 1 W; (e) Pi = 0.4 W.

Equations (8)

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m x + μ x ¨ + k ( x - x 0 ) = - m g + p S ,
x eq = x 0 - m g k .
ν 0 ( x ) = c 2 [ a l m 2 π S + ( n x ) 2 ] 1 / 2 ,
p = u cos 2 i ,
u = α P i Q 0 2 π ν S x 1 1 + 4 Q 0 2 ( ν ν 0 - 1 ) 2 ,
F ( x ) = p S = α Q 0 cos 2 i 2 π ν x P i 1 + 4 Q 0 2 ( ν ν 0 ( x ) - 1 ) 2 .
x - x eq = F ( x ) k .
P t = T 0 P i 1 + 4 Q 0 2 ( ν ν 0 - 1 ) 2 .

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