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We describe a method of tailoring the laser spectrum of Fabry-Pérot (FP) laser diodes using a spatially varying refractive index. The cavity geometry is determined by a perturbative transmission matrix calculation of the threshold gain of the longitudinal modes and solution of the corresponding inverse problem. Single-mode FP lasers with predetermined wavelength, and twocolor FP lasers with predetermined mode spacing in the terahertz region are designed and experimentally demonstrated.

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