Abstract

We propose a novel reflector, called a chaos mirror, designed by use of the principles of chaotic reflection. A feature of the reflector is that it converts a one-dimensional spread of incident rays into a two-dimensional spread of reflected rays. This can be useful for making free-space optical beam links by sweeping a transmission beam in only one dimension.

© 1998 Optical Society of America

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References

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  1. J. M. Kahn and J. R. Barry, Proc. IEEE 85, 265 (1997).
    [CrossRef]
  2. Ya. G. Sinai and N. I. Chernov, Russ. Math. Surv. 42, 181 (1987).
    [CrossRef]
  3. Q. Chen, M. Ding, and E. Ott, Phys. Lett. A 145, 93 (1990).
    [CrossRef]
  4. H. J. Korsch and A. Wagner, Comput. Phys. Sep./Oct. 497 (1977).
  5. B. Eckhardt, Phys. D 33, 89 (1988).
    [CrossRef]

1997

J. M. Kahn and J. R. Barry, Proc. IEEE 85, 265 (1997).
[CrossRef]

1990

Q. Chen, M. Ding, and E. Ott, Phys. Lett. A 145, 93 (1990).
[CrossRef]

1988

B. Eckhardt, Phys. D 33, 89 (1988).
[CrossRef]

1987

Ya. G. Sinai and N. I. Chernov, Russ. Math. Surv. 42, 181 (1987).
[CrossRef]

1977

H. J. Korsch and A. Wagner, Comput. Phys. Sep./Oct. 497 (1977).

Barry, J. R.

J. M. Kahn and J. R. Barry, Proc. IEEE 85, 265 (1997).
[CrossRef]

Chen, Q.

Q. Chen, M. Ding, and E. Ott, Phys. Lett. A 145, 93 (1990).
[CrossRef]

Chernov, N. I.

Ya. G. Sinai and N. I. Chernov, Russ. Math. Surv. 42, 181 (1987).
[CrossRef]

Ding, M.

Q. Chen, M. Ding, and E. Ott, Phys. Lett. A 145, 93 (1990).
[CrossRef]

Eckhardt, B.

B. Eckhardt, Phys. D 33, 89 (1988).
[CrossRef]

Kahn, J. M.

J. M. Kahn and J. R. Barry, Proc. IEEE 85, 265 (1997).
[CrossRef]

Korsch, H. J.

H. J. Korsch and A. Wagner, Comput. Phys. Sep./Oct. 497 (1977).

Ott, E.

Q. Chen, M. Ding, and E. Ott, Phys. Lett. A 145, 93 (1990).
[CrossRef]

Sinai, Ya. G.

Ya. G. Sinai and N. I. Chernov, Russ. Math. Surv. 42, 181 (1987).
[CrossRef]

Wagner, A.

H. J. Korsch and A. Wagner, Comput. Phys. Sep./Oct. 497 (1977).

Comput. Phys.

H. J. Korsch and A. Wagner, Comput. Phys. Sep./Oct. 497 (1977).

Phys. D

B. Eckhardt, Phys. D 33, 89 (1988).
[CrossRef]

Phys. Lett. A

Q. Chen, M. Ding, and E. Ott, Phys. Lett. A 145, 93 (1990).
[CrossRef]

Proc. IEEE

J. M. Kahn and J. R. Barry, Proc. IEEE 85, 265 (1997).
[CrossRef]

Russ. Math. Surv.

Ya. G. Sinai and N. I. Chernov, Russ. Math. Surv. 42, 181 (1987).
[CrossRef]

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Figures (5)

Fig. 1
Fig. 1

Chaos mirror consisting of seven reflecting surfaces joined at the edges and facing inward to form a cavity. The dashed curves show obscured joins. Pieces ACD, ABF, DEF, and BCE are spherical reflecting surfaces. ADF, BEF, and CDE are planar reflecting surfaces. ABC is open and acts as the entrance and exit port.

Fig. 2
Fig. 2

Construction of the chaos mirror. (a) Spherical reflectors and a virtual regular tetrahedron. (b) Spherical reflectors glued together so that they touch and their centers form a regular tetrahedron. (c) Cutting the spherical reflectors: Cuts are made in the planes containing points where the spheres touch. Three of the resulting apertures are covered by planar reflectors.

Fig. 3
Fig. 3

Reflections on the chaos mirror: Examples of rays exhibiting (a) 1, (b) 2, reflections, (c) 3, and (d) 16 reflections are shown. The initial rays all have the same position in the ABC plane but are rotated in direction.

Fig. 4
Fig. 4

Complicated dependence of the reception point on the emission direction. (a) Position coordinate xr in the reception plane as a function of emission direction coordinate vy. See the text for definitions of xr and vy. (b) Enlargement of a small part of (a).

Fig. 5
Fig. 5

Two-dimensional spread of the rays in the reception plane caused by fanning out of the rays at the transmitter. Rays are fanned by variation of the vy coordinate from the initial value of vy=20 in the direction vector 21,vy,16 for rays emitted from position (5, 5, 0). The range of the fanning angle in radians is (a) 2.0×10-4, (b) 2.0×10-3, (c) 2.0×10-2.

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