Abstract

A recent paper [Appl. Opt. 32, 269–274 (1993)] contained an analysis of the conditions required to suppress mode hops when one is tuning a Littrow grating-loaded laser cavity. Although the model was correct, an algebraic mistake led to a wrong conclusion. The corrected results are given and tend to recommend a previously investigated configuration.

© 1994 Optical Society of America

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References

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  1. M. de Labachelerie, G. Passedat, “Mode-hop suppression of Littrow grating-tuned lasers,” Appl. Opt. 32, 269–274 (1993).
    [Crossref] [PubMed]
  2. F. Favre, D. le Guen, J. C. Simon, B. Landousies, “External-cavity semiconductor laser with a 15-nm continuous tuning range,” Electron. Lett. 22, 795–796 (1986).
    [Crossref]
  3. O. Nilsson, E. Gobar, K. Vilhelmson, “Continuously tunable external-cavity laser,” presented at E.C.O.C. 90, the European Conference on Optical Communication, September 1990, Amsterdam, The Netherlands.
  4. A. E. Siegman, “Axial modes in a grating-dispersed laser cavity,” Appl. Phys. B 42, 165–166 (1987).
    [Crossref]
  5. H. Lotem, “Mode-hop suppression of Littrow grating-tuned lasers: comment,” Appl. Opt. 33, 3816 (1994).
    [Crossref] [PubMed]
  6. P. McNicholl, J. H. Metcalf, “Synchronous cavity mode and feedback wavelength scanning in dye laser oscillators with gratings,” Appl. Opt. 24, 2757–2761 (1985).
    [Crossref] [PubMed]

1994 (1)

H. Lotem, “Mode-hop suppression of Littrow grating-tuned lasers: comment,” Appl. Opt. 33, 3816 (1994).
[Crossref] [PubMed]

1993 (1)

1987 (1)

A. E. Siegman, “Axial modes in a grating-dispersed laser cavity,” Appl. Phys. B 42, 165–166 (1987).
[Crossref]

1986 (1)

F. Favre, D. le Guen, J. C. Simon, B. Landousies, “External-cavity semiconductor laser with a 15-nm continuous tuning range,” Electron. Lett. 22, 795–796 (1986).
[Crossref]

1985 (1)

de Labachelerie, M.

Favre, F.

F. Favre, D. le Guen, J. C. Simon, B. Landousies, “External-cavity semiconductor laser with a 15-nm continuous tuning range,” Electron. Lett. 22, 795–796 (1986).
[Crossref]

Gobar, E.

O. Nilsson, E. Gobar, K. Vilhelmson, “Continuously tunable external-cavity laser,” presented at E.C.O.C. 90, the European Conference on Optical Communication, September 1990, Amsterdam, The Netherlands.

Landousies, B.

F. Favre, D. le Guen, J. C. Simon, B. Landousies, “External-cavity semiconductor laser with a 15-nm continuous tuning range,” Electron. Lett. 22, 795–796 (1986).
[Crossref]

le Guen, D.

F. Favre, D. le Guen, J. C. Simon, B. Landousies, “External-cavity semiconductor laser with a 15-nm continuous tuning range,” Electron. Lett. 22, 795–796 (1986).
[Crossref]

Lotem, H.

H. Lotem, “Mode-hop suppression of Littrow grating-tuned lasers: comment,” Appl. Opt. 33, 3816 (1994).
[Crossref] [PubMed]

McNicholl, P.

Metcalf, J. H.

Nilsson, O.

O. Nilsson, E. Gobar, K. Vilhelmson, “Continuously tunable external-cavity laser,” presented at E.C.O.C. 90, the European Conference on Optical Communication, September 1990, Amsterdam, The Netherlands.

Passedat, G.

Siegman, A. E.

A. E. Siegman, “Axial modes in a grating-dispersed laser cavity,” Appl. Phys. B 42, 165–166 (1987).
[Crossref]

Simon, J. C.

F. Favre, D. le Guen, J. C. Simon, B. Landousies, “External-cavity semiconductor laser with a 15-nm continuous tuning range,” Electron. Lett. 22, 795–796 (1986).
[Crossref]

Vilhelmson, K.

O. Nilsson, E. Gobar, K. Vilhelmson, “Continuously tunable external-cavity laser,” presented at E.C.O.C. 90, the European Conference on Optical Communication, September 1990, Amsterdam, The Netherlands.

Appl. Opt. (1)

H. Lotem, “Mode-hop suppression of Littrow grating-tuned lasers: comment,” Appl. Opt. 33, 3816 (1994).
[Crossref] [PubMed]

Appl. Opt. (2)

Appl. Phys. B (1)

A. E. Siegman, “Axial modes in a grating-dispersed laser cavity,” Appl. Phys. B 42, 165–166 (1987).
[Crossref]

Electron. Lett. (1)

F. Favre, D. le Guen, J. C. Simon, B. Landousies, “External-cavity semiconductor laser with a 15-nm continuous tuning range,” Electron. Lett. 22, 795–796 (1986).
[Crossref]

Other (1)

O. Nilsson, E. Gobar, K. Vilhelmson, “Continuously tunable external-cavity laser,” presented at E.C.O.C. 90, the European Conference on Optical Communication, September 1990, Amsterdam, The Netherlands.

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Figures (2)

Fig. 1
Fig. 1

Sketch of the laser cavity with a Littrow mounted grating.

Fig. 2
Fig. 2

How to compute the cavity phase shift: The upper part of the figure represents the case of plane waves of infinite extent for which all grating facets are equivalent. The lower part of the figure shows the case of a limited beam for which a particular axis that is linked to the beam defines the cavity length L.

Equations (6)

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t 0 ( θ ) = 1 cos ( θ ) { y r [ 1 cos ( θ θ 0 ) ] + ( L 0 z r ) sin ( θ + θ 0 ) } ,
ϕ c ( θ ) 2 π = 2 { L 0 λ 0 + 1 λ g [ Δ y sin Δ θ + Δ z ( 1 cos Δ θ ) ] } + ϕ A ,
λ g = 2 a sin θ ,
Δ ϕ c ( Δ θ ) = 2 π λ 0 [ 2 Δ y Δ θ + ( Δ z 2 Δ y tan θ 0 ) Δ θ 2 ] .
Δ λ c / λ 0 = ( Δ θ π Δ θ π ) / tan θ 0 .
Δ λ c / λ 0 = [ 2 tan θ 0 ( Δ y ) Δ z = 0 ] 1 , ( Δ λ c / λ 0 ) 2 = 2 λ 0 [ tan 2 θ 0 ( Δ z ) Δ y = 0 ] 1 ,

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