supplemental information

Schematic illustration of pumping region distribution; sample preparation; the measurement of scattering mean free path; decay characteristics of emission intensity; emission spectra of the random laser with single pump beam; influence of polarization of pump light; spatial distribution of random lasers intensity; the coherence factor of random laser under bi-pump excitation; random laser under pump with irregular morphology; threshold behavior of random laser under pump energy distribution; phase correlations of random laser under different pump condition; simulation of electric field intensity for different gain distributions; random lasers excited by pump spots arranged in a line; emission characteristics of the random laser with different pump areas; random lasers excited by two pump spots with different morphologies; emission spectra of the random system excited by specific pump spot; the optical logic gate pumped by rectangle spots.