Abstract

We applied laser-diode sheetlike end pumping to a multimode Nd:YVO4 laser and observed high-speed >400MHz modulation of the intensity of chaotic pulsation near 1 MHz. The frequencies of modulation were the beat frequencies for pairs of closely spaced lasing modes. Asymmetric optical confinement and the resultant modal interference are shown to lead to oval-hollow-mode operation in which modal beat notes induce high-speed modulation, the frequency range of which is 2 orders of magnitude higher than the intrinsic relaxation oscillation frequency. Good numerical reproduction of the observed chaotic pulsations and their high-speed modulation was obtained with model equations in which such effects as nonlinear gain coupling among modes and field interference between pairs of modes were included. High-speed pulsations in nonchaotic lasers were also demonstrated.

© 2002 Optical Society of America

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References

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  1. K. Otsuka, Nonlinear Dynamics in Optical Complex Systems (Kluwer Academic, Dordrecht, The Netherlands, 1999).
  2. K. Otsuka, Y. Asakawa, R. Kawai, S.-L. Hwong, and J.-L. Chern, Jpn. J. Appl. Phys. 37, L1523 (1998).
    [CrossRef]
  3. K. Otsuka, H. Utsu, R. Kawai, K. Ohki, Y. Asakawa, S.-L. Hwong, Y.-Y. Ko, and J.-L. Chern, Jpn. J. Appl. Phys. 38, L1025 (1999).
    [CrossRef]
  4. K. Otsuka, S.-L. Hwong, and B. A. Nguyen, Phys. Rev. A 61, 053815 (2000).
    [CrossRef]
  5. K. Otsuka, J.-Y. Ko, and T. Fukazawa, Jpn. J. Appl. Phys. 45, L252 (2002).
    [CrossRef]
  6. W. Nakwaski and M. Osinski, in Progress in Optics, E. Wolf, ed. (Elsevier/North-Holland, Amsterdam, 1998), Vol. XXXVIIII, pp. 165–262.
    [CrossRef]
  7. J. Mulet and S. Balle, IEEE J. Quantum Electron. 38, 291 (2002).
    [CrossRef]

2002 (2)

K. Otsuka, J.-Y. Ko, and T. Fukazawa, Jpn. J. Appl. Phys. 45, L252 (2002).
[CrossRef]

J. Mulet and S. Balle, IEEE J. Quantum Electron. 38, 291 (2002).
[CrossRef]

2000 (1)

K. Otsuka, S.-L. Hwong, and B. A. Nguyen, Phys. Rev. A 61, 053815 (2000).
[CrossRef]

1999 (1)

K. Otsuka, H. Utsu, R. Kawai, K. Ohki, Y. Asakawa, S.-L. Hwong, Y.-Y. Ko, and J.-L. Chern, Jpn. J. Appl. Phys. 38, L1025 (1999).
[CrossRef]

1998 (1)

K. Otsuka, Y. Asakawa, R. Kawai, S.-L. Hwong, and J.-L. Chern, Jpn. J. Appl. Phys. 37, L1523 (1998).
[CrossRef]

Asakawa, Y.

K. Otsuka, H. Utsu, R. Kawai, K. Ohki, Y. Asakawa, S.-L. Hwong, Y.-Y. Ko, and J.-L. Chern, Jpn. J. Appl. Phys. 38, L1025 (1999).
[CrossRef]

K. Otsuka, Y. Asakawa, R. Kawai, S.-L. Hwong, and J.-L. Chern, Jpn. J. Appl. Phys. 37, L1523 (1998).
[CrossRef]

Balle, S.

J. Mulet and S. Balle, IEEE J. Quantum Electron. 38, 291 (2002).
[CrossRef]

Chern, J.-L.

K. Otsuka, H. Utsu, R. Kawai, K. Ohki, Y. Asakawa, S.-L. Hwong, Y.-Y. Ko, and J.-L. Chern, Jpn. J. Appl. Phys. 38, L1025 (1999).
[CrossRef]

K. Otsuka, Y. Asakawa, R. Kawai, S.-L. Hwong, and J.-L. Chern, Jpn. J. Appl. Phys. 37, L1523 (1998).
[CrossRef]

Fukazawa, T.

K. Otsuka, J.-Y. Ko, and T. Fukazawa, Jpn. J. Appl. Phys. 45, L252 (2002).
[CrossRef]

Hwong, S.-L.

K. Otsuka, S.-L. Hwong, and B. A. Nguyen, Phys. Rev. A 61, 053815 (2000).
[CrossRef]

K. Otsuka, H. Utsu, R. Kawai, K. Ohki, Y. Asakawa, S.-L. Hwong, Y.-Y. Ko, and J.-L. Chern, Jpn. J. Appl. Phys. 38, L1025 (1999).
[CrossRef]

K. Otsuka, Y. Asakawa, R. Kawai, S.-L. Hwong, and J.-L. Chern, Jpn. J. Appl. Phys. 37, L1523 (1998).
[CrossRef]

Kawai, R.

K. Otsuka, H. Utsu, R. Kawai, K. Ohki, Y. Asakawa, S.-L. Hwong, Y.-Y. Ko, and J.-L. Chern, Jpn. J. Appl. Phys. 38, L1025 (1999).
[CrossRef]

K. Otsuka, Y. Asakawa, R. Kawai, S.-L. Hwong, and J.-L. Chern, Jpn. J. Appl. Phys. 37, L1523 (1998).
[CrossRef]

Ko, J.-Y.

K. Otsuka, J.-Y. Ko, and T. Fukazawa, Jpn. J. Appl. Phys. 45, L252 (2002).
[CrossRef]

Ko, Y.-Y.

K. Otsuka, H. Utsu, R. Kawai, K. Ohki, Y. Asakawa, S.-L. Hwong, Y.-Y. Ko, and J.-L. Chern, Jpn. J. Appl. Phys. 38, L1025 (1999).
[CrossRef]

Mulet, J.

J. Mulet and S. Balle, IEEE J. Quantum Electron. 38, 291 (2002).
[CrossRef]

Nakwaski, W.

W. Nakwaski and M. Osinski, in Progress in Optics, E. Wolf, ed. (Elsevier/North-Holland, Amsterdam, 1998), Vol. XXXVIIII, pp. 165–262.
[CrossRef]

Nguyen, B. A.

K. Otsuka, S.-L. Hwong, and B. A. Nguyen, Phys. Rev. A 61, 053815 (2000).
[CrossRef]

Ohki, K.

K. Otsuka, H. Utsu, R. Kawai, K. Ohki, Y. Asakawa, S.-L. Hwong, Y.-Y. Ko, and J.-L. Chern, Jpn. J. Appl. Phys. 38, L1025 (1999).
[CrossRef]

Osinski, M.

W. Nakwaski and M. Osinski, in Progress in Optics, E. Wolf, ed. (Elsevier/North-Holland, Amsterdam, 1998), Vol. XXXVIIII, pp. 165–262.
[CrossRef]

Otsuka, K.

K. Otsuka, J.-Y. Ko, and T. Fukazawa, Jpn. J. Appl. Phys. 45, L252 (2002).
[CrossRef]

K. Otsuka, S.-L. Hwong, and B. A. Nguyen, Phys. Rev. A 61, 053815 (2000).
[CrossRef]

K. Otsuka, H. Utsu, R. Kawai, K. Ohki, Y. Asakawa, S.-L. Hwong, Y.-Y. Ko, and J.-L. Chern, Jpn. J. Appl. Phys. 38, L1025 (1999).
[CrossRef]

K. Otsuka, Y. Asakawa, R. Kawai, S.-L. Hwong, and J.-L. Chern, Jpn. J. Appl. Phys. 37, L1523 (1998).
[CrossRef]

K. Otsuka, Nonlinear Dynamics in Optical Complex Systems (Kluwer Academic, Dordrecht, The Netherlands, 1999).

Utsu, H.

K. Otsuka, H. Utsu, R. Kawai, K. Ohki, Y. Asakawa, S.-L. Hwong, Y.-Y. Ko, and J.-L. Chern, Jpn. J. Appl. Phys. 38, L1025 (1999).
[CrossRef]

IEEE J. Quantum Electron. (1)

J. Mulet and S. Balle, IEEE J. Quantum Electron. 38, 291 (2002).
[CrossRef]

Jpn. J. Appl. Phys. (3)

K. Otsuka, Y. Asakawa, R. Kawai, S.-L. Hwong, and J.-L. Chern, Jpn. J. Appl. Phys. 37, L1523 (1998).
[CrossRef]

K. Otsuka, H. Utsu, R. Kawai, K. Ohki, Y. Asakawa, S.-L. Hwong, Y.-Y. Ko, and J.-L. Chern, Jpn. J. Appl. Phys. 38, L1025 (1999).
[CrossRef]

K. Otsuka, J.-Y. Ko, and T. Fukazawa, Jpn. J. Appl. Phys. 45, L252 (2002).
[CrossRef]

Phys. Rev. A (1)

K. Otsuka, S.-L. Hwong, and B. A. Nguyen, Phys. Rev. A 61, 053815 (2000).
[CrossRef]

Other (2)

W. Nakwaski and M. Osinski, in Progress in Optics, E. Wolf, ed. (Elsevier/North-Holland, Amsterdam, 1998), Vol. XXXVIIII, pp. 165–262.
[CrossRef]

K. Otsuka, Nonlinear Dynamics in Optical Complex Systems (Kluwer Academic, Dordrecht, The Netherlands, 1999).

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Figures (5)

Fig. 1
Fig. 1

(a) Experimental configuration of a Nd:YVO4 laser with LD sheetlike end pumping. (b) Conceptual illustration of the thermally induced tapered-horn distribution of the refractive index (c) Left, the near-field pattern and right, the three-dimensional far-field pattern of the OHM. The pump power was 107 mW, and the threshold was 90 mW.

Fig. 2
Fig. 2

(a) Left, overall and right, fine-structure oscillation spectra, (b) waveform of chaotic pulsation, and (c) the corresponding power spectrum.

Fig. 3
Fig. 3

Detailed view of the oscillation spectrum about mode 1 and its associated high-speed modulation waveform and power spectrum, which correspond to the waveform of Fig. 2(b).

Fig. 4
Fig. 4

Numerical results. (a) Chaotic pulsation, (b) corresponding power spectrum; (c) high-speed-modulated waveform, (d) corresponding power spectrum. Total intensities are shown for both cases. The following parameters were adopted: w1,3=1.05, w2=1.02, K=2000, β=0.06, η=0.079, g1=g2=0.3, ΔΩ=2.

Fig. 5
Fig. 5

High-speed pulsation in a nonchaotic laser with asymmetric end pumping. (a) Experimental result for a 5-mm-thick Nd:YAG laser; pump power, 88 mW (threshold, 67 mW). (b) Numerical result for η=0, g1=g2=0.04, and ΔΩ=0.2. Other parameters are the same as for Fig. 4.

Equations (1)

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dNi/dt=wi-1-Ni-1+2Ni×Ei2+jiβEj2K, dEi/dt=NiEi+1/22Ni+1×jiηEj2+giE1E2 cosΔΩt,

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