Abstract

We propose a new method for obtaining unidirectional operation of a ring laser using the asymmetric properties of an absorbing Fabry–Perot étalon.

© 1987 Optical Society of America

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References

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  1. W. A. Peebles, D. Umstadler, D. L. Brower, N. C. Luhmann, Appl. Phys. Lett. 38, 851 (1981).
    [CrossRef]
  2. F. Biraben, Opt. Commun. 29, 353 (1979).
    [CrossRef]
  3. S. M. Jarrett, J. F. Young, Opt. Lett. 4, 176 (1979).
    [CrossRef] [PubMed]
  4. S. G. Diner, I. G. Koprinkov, K. V. Stamenov, K. A. Stankov, Opt. Commun. 35, 403 (1980).
    [CrossRef]
  5. A. Fuchs, D. Bebedaar, M. M. Salour, Appl. Phys. Lett. 43, 32 (1983).
    [CrossRef]
  6. O. S. Heavens, Optical Properties of Thin Solid Films (Buttersworth, London, 1955).
  7. S. D. Smith, J. G. H. Mathew, M. R. Taghizadeh, A. C. Walker, B. S. Wherrett, A. Hendry, Opt. Commun. 51, 357 (1984).
    [CrossRef]

1984 (1)

S. D. Smith, J. G. H. Mathew, M. R. Taghizadeh, A. C. Walker, B. S. Wherrett, A. Hendry, Opt. Commun. 51, 357 (1984).
[CrossRef]

1983 (1)

A. Fuchs, D. Bebedaar, M. M. Salour, Appl. Phys. Lett. 43, 32 (1983).
[CrossRef]

1981 (1)

W. A. Peebles, D. Umstadler, D. L. Brower, N. C. Luhmann, Appl. Phys. Lett. 38, 851 (1981).
[CrossRef]

1980 (1)

S. G. Diner, I. G. Koprinkov, K. V. Stamenov, K. A. Stankov, Opt. Commun. 35, 403 (1980).
[CrossRef]

1979 (2)

Bebedaar, D.

A. Fuchs, D. Bebedaar, M. M. Salour, Appl. Phys. Lett. 43, 32 (1983).
[CrossRef]

Biraben, F.

F. Biraben, Opt. Commun. 29, 353 (1979).
[CrossRef]

Brower, D. L.

W. A. Peebles, D. Umstadler, D. L. Brower, N. C. Luhmann, Appl. Phys. Lett. 38, 851 (1981).
[CrossRef]

Diner, S. G.

S. G. Diner, I. G. Koprinkov, K. V. Stamenov, K. A. Stankov, Opt. Commun. 35, 403 (1980).
[CrossRef]

Fuchs, A.

A. Fuchs, D. Bebedaar, M. M. Salour, Appl. Phys. Lett. 43, 32 (1983).
[CrossRef]

Heavens, O. S.

O. S. Heavens, Optical Properties of Thin Solid Films (Buttersworth, London, 1955).

Hendry, A.

S. D. Smith, J. G. H. Mathew, M. R. Taghizadeh, A. C. Walker, B. S. Wherrett, A. Hendry, Opt. Commun. 51, 357 (1984).
[CrossRef]

Jarrett, S. M.

Koprinkov, I. G.

S. G. Diner, I. G. Koprinkov, K. V. Stamenov, K. A. Stankov, Opt. Commun. 35, 403 (1980).
[CrossRef]

Luhmann, N. C.

W. A. Peebles, D. Umstadler, D. L. Brower, N. C. Luhmann, Appl. Phys. Lett. 38, 851 (1981).
[CrossRef]

Mathew, J. G. H.

S. D. Smith, J. G. H. Mathew, M. R. Taghizadeh, A. C. Walker, B. S. Wherrett, A. Hendry, Opt. Commun. 51, 357 (1984).
[CrossRef]

Peebles, W. A.

W. A. Peebles, D. Umstadler, D. L. Brower, N. C. Luhmann, Appl. Phys. Lett. 38, 851 (1981).
[CrossRef]

Salour, M. M.

A. Fuchs, D. Bebedaar, M. M. Salour, Appl. Phys. Lett. 43, 32 (1983).
[CrossRef]

Smith, S. D.

S. D. Smith, J. G. H. Mathew, M. R. Taghizadeh, A. C. Walker, B. S. Wherrett, A. Hendry, Opt. Commun. 51, 357 (1984).
[CrossRef]

Stamenov, K. V.

S. G. Diner, I. G. Koprinkov, K. V. Stamenov, K. A. Stankov, Opt. Commun. 35, 403 (1980).
[CrossRef]

Stankov, K. A.

S. G. Diner, I. G. Koprinkov, K. V. Stamenov, K. A. Stankov, Opt. Commun. 35, 403 (1980).
[CrossRef]

Taghizadeh, M. R.

S. D. Smith, J. G. H. Mathew, M. R. Taghizadeh, A. C. Walker, B. S. Wherrett, A. Hendry, Opt. Commun. 51, 357 (1984).
[CrossRef]

Umstadler, D.

W. A. Peebles, D. Umstadler, D. L. Brower, N. C. Luhmann, Appl. Phys. Lett. 38, 851 (1981).
[CrossRef]

Walker, A. C.

S. D. Smith, J. G. H. Mathew, M. R. Taghizadeh, A. C. Walker, B. S. Wherrett, A. Hendry, Opt. Commun. 51, 357 (1984).
[CrossRef]

Wherrett, B. S.

S. D. Smith, J. G. H. Mathew, M. R. Taghizadeh, A. C. Walker, B. S. Wherrett, A. Hendry, Opt. Commun. 51, 357 (1984).
[CrossRef]

Young, J. F.

Appl. Phys. Lett. (2)

W. A. Peebles, D. Umstadler, D. L. Brower, N. C. Luhmann, Appl. Phys. Lett. 38, 851 (1981).
[CrossRef]

A. Fuchs, D. Bebedaar, M. M. Salour, Appl. Phys. Lett. 43, 32 (1983).
[CrossRef]

Opt. Commun. (3)

F. Biraben, Opt. Commun. 29, 353 (1979).
[CrossRef]

S. G. Diner, I. G. Koprinkov, K. V. Stamenov, K. A. Stankov, Opt. Commun. 35, 403 (1980).
[CrossRef]

S. D. Smith, J. G. H. Mathew, M. R. Taghizadeh, A. C. Walker, B. S. Wherrett, A. Hendry, Opt. Commun. 51, 357 (1984).
[CrossRef]

Opt. Lett. (1)

Other (1)

O. S. Heavens, Optical Properties of Thin Solid Films (Buttersworth, London, 1955).

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Figures (2)

Fig. 1
Fig. 1

The reflectivity of the absorbing interference filter plotted against wavelength. Trace A shows a minimum reflectivity of 58% and is obtained by illuminating the higher-reflectivity stack first. Trace B shows a minimum reflectivity of 26% and is obtained by illuminating the AIF through the substrate. Trace C is the transmissivity, which, of course, is independent of illumination direction. For this filter the maximum transmissivity is 18%.

Fig. 2
Fig. 2

Schematic of the ring cavity modeled by the matrix equation in the text, which contains two counterpropagating fields E and E+, a gain medium (GM) with gain g, and an absorbing Fabry–Perot étalon (AIF) with reflectivities r and s and transmissivity t.

Equations (4)

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T = ( 1 R f ) ( 1 R b ) e α D ( 1 R f R b e α D ) 2 1 1 + F sin 2 ϕ , R = ( R f R b e α D ) 2 + ( 1 R f R b e α D ) 2 F sin 2 ϕ ( 1 R f R b e α D ) 2 ( 1 + F sin 2 ϕ ) ,
ϕ = 2 π n D λ , F = 4 R f R b e α D ( 1 R f R b e α D ) 2
[ E + E ] = [ 1 / g 0 0 g ] [ 1 / t r / t s / t t 2 s r t ] [ E + E ] ,
E + E = r s t + r , g ( t + s r ) = 1 ;

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