Abstract

Novel laser resonator concepts based on the self-imaging properties of multimode waveguides are proposed. These resonators have widely applicable designs and are predicted to produce TEM00 output with low round-trip loss and excellent mode discrimination.

© 1997 Optical Society of America

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References

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  1. L. A. Rivlin and V. S. Shul’dyaev, “Multimode waveguides for coherent light,” Radiophys. Quantum Electron. 11, 318–321 (1968).
  2. R. Ulrich, “Image formation by phase coincidences in optical waveguides,” Opt. Commun. 13, 259–264 (1975).
    [Crossref]
  3. R. M. Jenkins, “Multimode propagation phenomena,” (Defence Research Agency, Malvern, UK, April1993).
  4. R. M. Jenkins and J. M. Heaton, “Optical device,” international patent applicationPCT/GB91/021291992 (UK patent application 9027657.7, December20, 1990).
  5. R. M. Jenkins, R. W. J. Devereux, and J. M. Heaton, “Wave-guide beam splitters and recombiners based on multimode propagation phenomena,” Opt. Lett. 17, 991–993 (1992).
    [Crossref] [PubMed]
  6. J. M. Heaton, R. M. Jenkins, D. R. Wight, J. T. Parker, J. C. H. Birbeck, and K. P. Hilton, “Novel 1-to-N way integrated optical beam splitters using symmetric mode mixing in GaAs/AlGaAs multimode waveguides,” Appl. Phys. Lett. 61, 1754–1756 (1992).
    [Crossref]
  7. R. M. Jenkins, J. Banerji, and A. R. Davies, “Comparison of Talbot and 1-to-N way phase locked array resonators,” Appl. Opt. 36, 1604–1609 (1997).
    [Crossref]
  8. J. J. Degnan and D. R. Hall, “Finite-aperture waveguide laser resonators,” IEEE J. Quantum Electron. QE-9, 901–910 (1973).
    [Crossref]
  9. J. Banerji, A. R. Davies, C. A. Hill, R. M. Jenkins, and J. R. Redding, “Effects of curved mirrors in waveguide resonators,” Appl. Opt. 34, 3000–3008 (1995).
    [Crossref] [PubMed]
  10. A. E. Siegman, Lasers (University Science, Mill Valley, Calif., 1986).
  11. A. G. Fox and T. Li, “Resonant modes in a maser interferometer,” Bell Syst. Tech. J. 40, 453–488 (1961).
    [Crossref]
  12. D. M. Henderson, “Waveguide lasers with intracavity electrooptic modulators: misalignment loss,” Appl. Opt. 15, 1066–1070 (1976).
    [Crossref] [PubMed]

1997 (1)

1995 (1)

1992 (2)

R. M. Jenkins, R. W. J. Devereux, and J. M. Heaton, “Wave-guide beam splitters and recombiners based on multimode propagation phenomena,” Opt. Lett. 17, 991–993 (1992).
[Crossref] [PubMed]

J. M. Heaton, R. M. Jenkins, D. R. Wight, J. T. Parker, J. C. H. Birbeck, and K. P. Hilton, “Novel 1-to-N way integrated optical beam splitters using symmetric mode mixing in GaAs/AlGaAs multimode waveguides,” Appl. Phys. Lett. 61, 1754–1756 (1992).
[Crossref]

1976 (1)

1975 (1)

R. Ulrich, “Image formation by phase coincidences in optical waveguides,” Opt. Commun. 13, 259–264 (1975).
[Crossref]

1973 (1)

J. J. Degnan and D. R. Hall, “Finite-aperture waveguide laser resonators,” IEEE J. Quantum Electron. QE-9, 901–910 (1973).
[Crossref]

1968 (1)

L. A. Rivlin and V. S. Shul’dyaev, “Multimode waveguides for coherent light,” Radiophys. Quantum Electron. 11, 318–321 (1968).

1961 (1)

A. G. Fox and T. Li, “Resonant modes in a maser interferometer,” Bell Syst. Tech. J. 40, 453–488 (1961).
[Crossref]

Banerji, J.

Birbeck, J. C. H.

J. M. Heaton, R. M. Jenkins, D. R. Wight, J. T. Parker, J. C. H. Birbeck, and K. P. Hilton, “Novel 1-to-N way integrated optical beam splitters using symmetric mode mixing in GaAs/AlGaAs multimode waveguides,” Appl. Phys. Lett. 61, 1754–1756 (1992).
[Crossref]

Davies, A. R.

Degnan, J. J.

J. J. Degnan and D. R. Hall, “Finite-aperture waveguide laser resonators,” IEEE J. Quantum Electron. QE-9, 901–910 (1973).
[Crossref]

Devereux, R. W. J.

Fox, A. G.

A. G. Fox and T. Li, “Resonant modes in a maser interferometer,” Bell Syst. Tech. J. 40, 453–488 (1961).
[Crossref]

Hall, D. R.

J. J. Degnan and D. R. Hall, “Finite-aperture waveguide laser resonators,” IEEE J. Quantum Electron. QE-9, 901–910 (1973).
[Crossref]

Heaton, J. M.

R. M. Jenkins, R. W. J. Devereux, and J. M. Heaton, “Wave-guide beam splitters and recombiners based on multimode propagation phenomena,” Opt. Lett. 17, 991–993 (1992).
[Crossref] [PubMed]

J. M. Heaton, R. M. Jenkins, D. R. Wight, J. T. Parker, J. C. H. Birbeck, and K. P. Hilton, “Novel 1-to-N way integrated optical beam splitters using symmetric mode mixing in GaAs/AlGaAs multimode waveguides,” Appl. Phys. Lett. 61, 1754–1756 (1992).
[Crossref]

R. M. Jenkins and J. M. Heaton, “Optical device,” international patent applicationPCT/GB91/021291992 (UK patent application 9027657.7, December20, 1990).

Henderson, D. M.

Hill, C. A.

Hilton, K. P.

J. M. Heaton, R. M. Jenkins, D. R. Wight, J. T. Parker, J. C. H. Birbeck, and K. P. Hilton, “Novel 1-to-N way integrated optical beam splitters using symmetric mode mixing in GaAs/AlGaAs multimode waveguides,” Appl. Phys. Lett. 61, 1754–1756 (1992).
[Crossref]

Jenkins, R. M.

R. M. Jenkins, J. Banerji, and A. R. Davies, “Comparison of Talbot and 1-to-N way phase locked array resonators,” Appl. Opt. 36, 1604–1609 (1997).
[Crossref]

J. Banerji, A. R. Davies, C. A. Hill, R. M. Jenkins, and J. R. Redding, “Effects of curved mirrors in waveguide resonators,” Appl. Opt. 34, 3000–3008 (1995).
[Crossref] [PubMed]

R. M. Jenkins, R. W. J. Devereux, and J. M. Heaton, “Wave-guide beam splitters and recombiners based on multimode propagation phenomena,” Opt. Lett. 17, 991–993 (1992).
[Crossref] [PubMed]

J. M. Heaton, R. M. Jenkins, D. R. Wight, J. T. Parker, J. C. H. Birbeck, and K. P. Hilton, “Novel 1-to-N way integrated optical beam splitters using symmetric mode mixing in GaAs/AlGaAs multimode waveguides,” Appl. Phys. Lett. 61, 1754–1756 (1992).
[Crossref]

R. M. Jenkins, “Multimode propagation phenomena,” (Defence Research Agency, Malvern, UK, April1993).

R. M. Jenkins and J. M. Heaton, “Optical device,” international patent applicationPCT/GB91/021291992 (UK patent application 9027657.7, December20, 1990).

Li, T.

A. G. Fox and T. Li, “Resonant modes in a maser interferometer,” Bell Syst. Tech. J. 40, 453–488 (1961).
[Crossref]

Parker, J. T.

J. M. Heaton, R. M. Jenkins, D. R. Wight, J. T. Parker, J. C. H. Birbeck, and K. P. Hilton, “Novel 1-to-N way integrated optical beam splitters using symmetric mode mixing in GaAs/AlGaAs multimode waveguides,” Appl. Phys. Lett. 61, 1754–1756 (1992).
[Crossref]

Redding, J. R.

Rivlin, L. A.

L. A. Rivlin and V. S. Shul’dyaev, “Multimode waveguides for coherent light,” Radiophys. Quantum Electron. 11, 318–321 (1968).

Shul’dyaev, V. S.

L. A. Rivlin and V. S. Shul’dyaev, “Multimode waveguides for coherent light,” Radiophys. Quantum Electron. 11, 318–321 (1968).

Siegman, A. E.

A. E. Siegman, Lasers (University Science, Mill Valley, Calif., 1986).

Ulrich, R.

R. Ulrich, “Image formation by phase coincidences in optical waveguides,” Opt. Commun. 13, 259–264 (1975).
[Crossref]

Wight, D. R.

J. M. Heaton, R. M. Jenkins, D. R. Wight, J. T. Parker, J. C. H. Birbeck, and K. P. Hilton, “Novel 1-to-N way integrated optical beam splitters using symmetric mode mixing in GaAs/AlGaAs multimode waveguides,” Appl. Phys. Lett. 61, 1754–1756 (1992).
[Crossref]

Appl. Opt. (3)

Appl. Phys. Lett. (1)

J. M. Heaton, R. M. Jenkins, D. R. Wight, J. T. Parker, J. C. H. Birbeck, and K. P. Hilton, “Novel 1-to-N way integrated optical beam splitters using symmetric mode mixing in GaAs/AlGaAs multimode waveguides,” Appl. Phys. Lett. 61, 1754–1756 (1992).
[Crossref]

Bell Syst. Tech. J. (1)

A. G. Fox and T. Li, “Resonant modes in a maser interferometer,” Bell Syst. Tech. J. 40, 453–488 (1961).
[Crossref]

IEEE J. Quantum Electron. (1)

J. J. Degnan and D. R. Hall, “Finite-aperture waveguide laser resonators,” IEEE J. Quantum Electron. QE-9, 901–910 (1973).
[Crossref]

Opt. Commun. (1)

R. Ulrich, “Image formation by phase coincidences in optical waveguides,” Opt. Commun. 13, 259–264 (1975).
[Crossref]

Opt. Lett. (1)

Radiophys. Quantum Electron. (1)

L. A. Rivlin and V. S. Shul’dyaev, “Multimode waveguides for coherent light,” Radiophys. Quantum Electron. 11, 318–321 (1968).

Other (3)

R. M. Jenkins, “Multimode propagation phenomena,” (Defence Research Agency, Malvern, UK, April1993).

R. M. Jenkins and J. M. Heaton, “Optical device,” international patent applicationPCT/GB91/021291992 (UK patent application 9027657.7, December20, 1990).

A. E. Siegman, Lasers (University Science, Mill Valley, Calif., 1986).

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Figures (4)

Fig. 1
Fig. 1

Schematic of a self-imaging waveguide resonator.

Fig. 2
Fig. 2

Round-trip resonator loss for the first three resonator modes as a function of the guide-to-curved-mirror distance. Guide half-width, a; wavelength, λ; guide length, (2a)2/λ. The mirror curvature is phase matched to a TEM00 beam of waist ω=0.7032a. All EHmn modes with m and n up to 16 are included in the calculation. Wall losses are not considered.

Fig. 3
Fig. 3

(a) As in Fig. 2 but for the first two resonator modes and a guide length 2a2/λ; (b) as in (a) but with m and n up to 3 (solid curves) and m and n up to 4 (dotted curves). The first resonator mode loss is the same in both cases. (c) As in (a) but for the first three resonator modes and with wall loss.

Fig. 4
Fig. 4

As in Fig. 2 but with the mirror curvature phase matched to a TEM00 beam of waist ω=0.6a.

Equations (12)

Equations on this page are rendered with MathJax. Learn more.

Em(x, a)||x|a=1acos(πmx/2a)ifmisoddsin(πmx/2a)ifmiseven.
F(x, 0)=m amEm(x, a).
F(x, 2l)=mamEm(x, a)exp-iπm2l2L,
L=(2a)2/λ.
Fs(x, L)=Fs(x,0)exp(-iπ/4),
Fa(x, 2L)=Fa(x, 0),Fg(x, 8L)=Fg(x, 0).
F(x)=mamEm(x, a).
mamχmn=σan,
Fa(x, 0)=mα2mE2m(x, a)=n[a4nE4n(x, a)+a4n-2E4n-2(x, a)],
Fa(x, L)=ma2mE2m(x, a)exp(-iπm2)=n[a4nE4n(x, a)-a4n-2E4n-2(x, a)].
Fa(x, L)=[Fa(x-a, 0)+Fa(x+a, 0)]/2.
R=Z+Z02/Z,Z0=πω2/λ.

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