Abstract

The theoretical basis for simultaneous oscillation of 2N - 3 laser lines is due to interference of N (for all even N ≥ 2) pump beams in a distributed-feedback dye laser is described. Multiple gratings are produced in a dye solution by interference patterns of N/2 pairs of a frequency-doubled Nd:YAG laser. N/2 pairs of mutually time-delayed pulses induce multiple gratings of different periodicities, of which 2N - 3 gratings support oscillation of 2N - 3 lines and the remaining gratings, because of their larger periods, cannot support Bragg scattering. The maximum number of laser lines depends on the mutual delay between adjacent pairs of beams, coherence, states of polarization, pulse lengths, and of course the number of pulses. For three pairs of excitation beams derived from the same source through wave-front or amplitude phase division techniques, the output lasing lines varied from a minimum of three to a maximum of nine. This research was carried out by pumping of a dye solution with two, four, and six pulses, but the principle may be extended to multiple output lines, depending on the number of pump pulses and on the gain of the dye solution.

© 2004 Optical Society of America

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References

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  1. C. V. Shank, J. E. Bjorkholm, H. Kogelnik, “Tunable distributed feedback dye laser,” Appl. Phys. Lett. 18, 395–396 (1971).
    [CrossRef]
  2. A. N. Rubonov, T. Sh. Efendiev, A. V. Adamushko, J. Bor, “Multifrequency operation of distributed feedback dye laser with high repetition rate,” Opt. Commun. 18, 18–23 (1976).
    [CrossRef]
  3. M. B. Ahmad, P. K. Palanisamy, “Nd:YAG laser pumped energy transfer distributed feedback dye laser in a Rhodamine 6G and Acid Blue 7 dye mixture,” Opt. Commun. 213, 67–80 (2002).
    [CrossRef]
  4. T. Sh. Efendiev, A. N. Rubinov, “Dye laser with a distributed feedback induced by second harmonic of neodymium laser,” Sov. J. Quantum Electron. 5, 479–482 (1975).
    [CrossRef]
  5. A. N. Rubinov, T. Sh. Efendiev, A. V. Adamushko, “Simultaneous oscillation of several independently tunable spectral lines in a distributed feedback dye laser,” Opt. Commun. 20, 159–162 (1977).
    [CrossRef]
  6. A. Muller, “Two independently tunable distributed feedback dye laser pumped by single picosecond Nd:YAG laser,” Appl. Phys. B 63, 443–444 (1996).
    [CrossRef]
  7. H. J. Eichler, P. Gunter, D. W. Pohl, eds., Laser Induced Dynamic Gratings, Vol. 50 of Springer-Verlag Series on Optical Sciences (Springer-Verlag, Berlin, 1986), pp. 17–18.

2002 (1)

M. B. Ahmad, P. K. Palanisamy, “Nd:YAG laser pumped energy transfer distributed feedback dye laser in a Rhodamine 6G and Acid Blue 7 dye mixture,” Opt. Commun. 213, 67–80 (2002).
[CrossRef]

1996 (1)

A. Muller, “Two independently tunable distributed feedback dye laser pumped by single picosecond Nd:YAG laser,” Appl. Phys. B 63, 443–444 (1996).
[CrossRef]

1977 (1)

A. N. Rubinov, T. Sh. Efendiev, A. V. Adamushko, “Simultaneous oscillation of several independently tunable spectral lines in a distributed feedback dye laser,” Opt. Commun. 20, 159–162 (1977).
[CrossRef]

1976 (1)

A. N. Rubonov, T. Sh. Efendiev, A. V. Adamushko, J. Bor, “Multifrequency operation of distributed feedback dye laser with high repetition rate,” Opt. Commun. 18, 18–23 (1976).
[CrossRef]

1975 (1)

T. Sh. Efendiev, A. N. Rubinov, “Dye laser with a distributed feedback induced by second harmonic of neodymium laser,” Sov. J. Quantum Electron. 5, 479–482 (1975).
[CrossRef]

1971 (1)

C. V. Shank, J. E. Bjorkholm, H. Kogelnik, “Tunable distributed feedback dye laser,” Appl. Phys. Lett. 18, 395–396 (1971).
[CrossRef]

Adamushko, A. V.

A. N. Rubinov, T. Sh. Efendiev, A. V. Adamushko, “Simultaneous oscillation of several independently tunable spectral lines in a distributed feedback dye laser,” Opt. Commun. 20, 159–162 (1977).
[CrossRef]

A. N. Rubonov, T. Sh. Efendiev, A. V. Adamushko, J. Bor, “Multifrequency operation of distributed feedback dye laser with high repetition rate,” Opt. Commun. 18, 18–23 (1976).
[CrossRef]

Ahmad, M. B.

M. B. Ahmad, P. K. Palanisamy, “Nd:YAG laser pumped energy transfer distributed feedback dye laser in a Rhodamine 6G and Acid Blue 7 dye mixture,” Opt. Commun. 213, 67–80 (2002).
[CrossRef]

Bjorkholm, J. E.

C. V. Shank, J. E. Bjorkholm, H. Kogelnik, “Tunable distributed feedback dye laser,” Appl. Phys. Lett. 18, 395–396 (1971).
[CrossRef]

Bor, J.

A. N. Rubonov, T. Sh. Efendiev, A. V. Adamushko, J. Bor, “Multifrequency operation of distributed feedback dye laser with high repetition rate,” Opt. Commun. 18, 18–23 (1976).
[CrossRef]

Efendiev, T. Sh.

A. N. Rubinov, T. Sh. Efendiev, A. V. Adamushko, “Simultaneous oscillation of several independently tunable spectral lines in a distributed feedback dye laser,” Opt. Commun. 20, 159–162 (1977).
[CrossRef]

A. N. Rubonov, T. Sh. Efendiev, A. V. Adamushko, J. Bor, “Multifrequency operation of distributed feedback dye laser with high repetition rate,” Opt. Commun. 18, 18–23 (1976).
[CrossRef]

T. Sh. Efendiev, A. N. Rubinov, “Dye laser with a distributed feedback induced by second harmonic of neodymium laser,” Sov. J. Quantum Electron. 5, 479–482 (1975).
[CrossRef]

Kogelnik, H.

C. V. Shank, J. E. Bjorkholm, H. Kogelnik, “Tunable distributed feedback dye laser,” Appl. Phys. Lett. 18, 395–396 (1971).
[CrossRef]

Muller, A.

A. Muller, “Two independently tunable distributed feedback dye laser pumped by single picosecond Nd:YAG laser,” Appl. Phys. B 63, 443–444 (1996).
[CrossRef]

Palanisamy, P. K.

M. B. Ahmad, P. K. Palanisamy, “Nd:YAG laser pumped energy transfer distributed feedback dye laser in a Rhodamine 6G and Acid Blue 7 dye mixture,” Opt. Commun. 213, 67–80 (2002).
[CrossRef]

Rubinov, A. N.

A. N. Rubinov, T. Sh. Efendiev, A. V. Adamushko, “Simultaneous oscillation of several independently tunable spectral lines in a distributed feedback dye laser,” Opt. Commun. 20, 159–162 (1977).
[CrossRef]

T. Sh. Efendiev, A. N. Rubinov, “Dye laser with a distributed feedback induced by second harmonic of neodymium laser,” Sov. J. Quantum Electron. 5, 479–482 (1975).
[CrossRef]

Rubonov, A. N.

A. N. Rubonov, T. Sh. Efendiev, A. V. Adamushko, J. Bor, “Multifrequency operation of distributed feedback dye laser with high repetition rate,” Opt. Commun. 18, 18–23 (1976).
[CrossRef]

Shank, C. V.

C. V. Shank, J. E. Bjorkholm, H. Kogelnik, “Tunable distributed feedback dye laser,” Appl. Phys. Lett. 18, 395–396 (1971).
[CrossRef]

Appl. Phys. B (1)

A. Muller, “Two independently tunable distributed feedback dye laser pumped by single picosecond Nd:YAG laser,” Appl. Phys. B 63, 443–444 (1996).
[CrossRef]

Appl. Phys. Lett. (1)

C. V. Shank, J. E. Bjorkholm, H. Kogelnik, “Tunable distributed feedback dye laser,” Appl. Phys. Lett. 18, 395–396 (1971).
[CrossRef]

Opt. Commun. (3)

A. N. Rubonov, T. Sh. Efendiev, A. V. Adamushko, J. Bor, “Multifrequency operation of distributed feedback dye laser with high repetition rate,” Opt. Commun. 18, 18–23 (1976).
[CrossRef]

M. B. Ahmad, P. K. Palanisamy, “Nd:YAG laser pumped energy transfer distributed feedback dye laser in a Rhodamine 6G and Acid Blue 7 dye mixture,” Opt. Commun. 213, 67–80 (2002).
[CrossRef]

A. N. Rubinov, T. Sh. Efendiev, A. V. Adamushko, “Simultaneous oscillation of several independently tunable spectral lines in a distributed feedback dye laser,” Opt. Commun. 20, 159–162 (1977).
[CrossRef]

Sov. J. Quantum Electron. (1)

T. Sh. Efendiev, A. N. Rubinov, “Dye laser with a distributed feedback induced by second harmonic of neodymium laser,” Sov. J. Quantum Electron. 5, 479–482 (1975).
[CrossRef]

Other (1)

H. J. Eichler, P. Gunter, D. W. Pohl, eds., Laser Induced Dynamic Gratings, Vol. 50 of Springer-Verlag Series on Optical Sciences (Springer-Verlag, Berlin, 1986), pp. 17–18.

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Figures (5)

Fig. 1
Fig. 1

Schematic representation of a three-pair-pumped DFDL.

Fig. 2
Fig. 2

Schematic representation of an N/2-pair-pumped DFDL.

Fig. 3
Fig. 3

Experimental setup for the simultaneous operation of three DFDLs.

Fig. 4
Fig. 4

The three upper lines belong to simultaneous operation of three DFDLs for 5 mm < OPD1,2,3 < 10 mm, but the bottom nine lines belong to three pairs of pump pulses at 0 < OPD1,2,3 ≤ 2 mm. The middle three results, of five lines each, were obtained by simultaneous operation of any two DFDLs for 0 < OPD1,2 or 2,3 or 1,3 < 2 mm. The pump energies of the three main beams were 300, 200 and 100 μJ at 10–30-ps pulse durations and a repetition rate of 0.1 Hz.

Fig. 5
Fig. 5

Variation of observed DFDL output laser lines as a function of pump pulse.

Tables (1)

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Table 1 Expected Lines in a Six-Pulse-Pumped DFDL: Calculated Wavelength

Equations (11)

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Λ1=λP2 sinθ1,
Λ2=λP2 sinθ2=λP2 sin12θ1+θ1+θ52,
Λ3=λP2 sinθ3=λP2 sinθ1+θ52,
Λ4=λP2 sinθ4=λP2 sin12θ5+θ1+θ52,
Λ5=λP2 sinθ5,
Λ6=λP2 sinθ6=λP2 sin12θ5+θ5+θ92,
Λ7=λP2 sinθ7=λP2 sinθ5+θ92,
Λ8=λP2 sinθ8=λP2 sin12θ9+θ5+θ92,
Λ9=λP2 sinθ9.
λo=λP2ns sinθH,
M=2N-3.

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