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.
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机译：描述了2N-3激光线同时振荡的理论基础，这是由于分布式反馈染料激光器中N个泵浦光束（对于所有偶数N≥2）的干扰所致。在染料溶液中，通过N / 2对倍频Nd：YAG激光器的干涉图产生多个光栅。 N / 2对相互延时的脉冲诱发了多个周期性不同的光栅，其中2N-3个光栅支持2N-3线的振荡，其余的光栅由于其较大的周期而无法支持布拉格散射。激光线的最大数量取决于相邻的成对光束之间的相互延迟，相干性，偏振状态，脉冲长度，当然还有脉冲数。对于通过波前或振幅相分技术从同一源获得的三对激发光束，输出激射线从最小的三个变化到最大的九个。这项研究是通过泵送具有两个，四个和六个脉冲的染料溶液进行的，但是根据泵浦脉冲的数量和染料溶液的增益，原理可以扩展到多条输出线。
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