Abstract

The rate equations for the pumping of the Nd3+ system are simplified to a single differential equation. This is solved for the population of the F432 level, N, under a pump waveform, At2ebt, assuming that the lifetime of the state is constant. The optimum Q-switch time (time at which N and the output energy of the laser pulse are maximum) is then calculated. The optimum Q-switch time is given as a function of pump input energy for a 5-wt% Nd2O3 in barium crown glass, 80-mm-long clad laser rod, pumped with an FX38 flash tube driven by a simple LC circuit. From these results, the apparent lifetime of the F432 level was shown to decrease from 157 μsec with 67.5-J input to 57 μsec with a 144-J input.

© 1970 Optical Society of America

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References

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  1. N. A. Tolstoi and A. P. Abramov, Opt. Spectrosc. 20, 187 (1966).
  2. V. K. Konyukhow, L. A. Kulevskii, and A. M. Prokhorov, Sov. Phys. JETP 18, 588 (1964).
  3. J. I. Masters, Nature 202, 1090 (1964).
    [Crossref]

1966 (1)

N. A. Tolstoi and A. P. Abramov, Opt. Spectrosc. 20, 187 (1966).

1964 (2)

V. K. Konyukhow, L. A. Kulevskii, and A. M. Prokhorov, Sov. Phys. JETP 18, 588 (1964).

J. I. Masters, Nature 202, 1090 (1964).
[Crossref]

Abramov, A. P.

N. A. Tolstoi and A. P. Abramov, Opt. Spectrosc. 20, 187 (1966).

Konyukhow, V. K.

V. K. Konyukhow, L. A. Kulevskii, and A. M. Prokhorov, Sov. Phys. JETP 18, 588 (1964).

Kulevskii, L. A.

V. K. Konyukhow, L. A. Kulevskii, and A. M. Prokhorov, Sov. Phys. JETP 18, 588 (1964).

Masters, J. I.

J. I. Masters, Nature 202, 1090 (1964).
[Crossref]

Prokhorov, A. M.

V. K. Konyukhow, L. A. Kulevskii, and A. M. Prokhorov, Sov. Phys. JETP 18, 588 (1964).

Tolstoi, N. A.

N. A. Tolstoi and A. P. Abramov, Opt. Spectrosc. 20, 187 (1966).

Nature (1)

J. I. Masters, Nature 202, 1090 (1964).
[Crossref]

Opt. Spectrosc. (1)

N. A. Tolstoi and A. P. Abramov, Opt. Spectrosc. 20, 187 (1966).

Sov. Phys. JETP (1)

V. K. Konyukhow, L. A. Kulevskii, and A. M. Prokhorov, Sov. Phys. JETP 18, 588 (1964).

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Figures (5)

Fig. 1
Fig. 1

Relationship between effective half-life and optimum Q-switch time for various pump-pulse half-widths in microseconds.

Fig. 2
Fig. 2

Pumping efficiency for various pump-pulse widths in microseconds.

Fig. 3
Fig. 3

Laser output energy for various values of ttp at 102-J total input energy. Dashed curve shows the pump pulse to the same time scale.

Fig. 4
Fig. 4

Effective half-life as a function of t0tp.

Fig. 5
Fig. 5

Measured effective half-life as a function of pump input energy.

Equations (5)

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d N / d t + P ( N ) N = R ,
d N / d t + a N = R ,
R = A t 2 e - b t .
N = A [ t 2 q - 2 t q 2 + 2 q 3 ] e - b t - 2 A q 3 e - a t ,
[ b q t 0 2 - 2 a t 0 + 2 a / q ] e q t 0 = 2 a / q .