Yamamoto and others have shown that when the pump (or injected current) fluctuations of a laser diode are suppressed, the optical power fluctuations are much reduced, but the laser linewidth remains essentially unchanged. We find that for a realistic extended laser model, the linewidth may in fact be importantly reduced. Our finding is based on a semiclassical theory. With full shot-noise in the injected current, the linewidth is proportional to (1+α 2) av, where α( z) denotes the phase-amplitude factor, and the average is evaluated along the diode z-axis. Without injected current fluctuations, one must subtract from this expression half the variance (α 2) av−(α av) 2 of α. The linewidth reduction thus occurs only if α varies significantly along the diode.
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