We report a harmonic hexagonal superlattice pattern in a dielectric barrier discharge in air/argon mixture at atmospheric pressure.The bifurcation scenario of harmonic hexagonal superlattice pattern with the applied voltage increasing is given.The phase diagram of the pattern types as a function of the applied voltage and the air-concentration is obtained.The hysteresis of pattern transitions at the upward and downward stage of the applied voltage is observed.The correlation measurements indicate that harmonic hexagonal superlattice pattern is an interleaving of two different transient sublattices.The spatial power spectrum demonstrates that harmonic hexagonal superlattice pattern has two separate wave vectors.Both small wave vector qh and big wave vector K h,belong to the harmonic mode,and they obey a triad resonant interaction qh1+qh2=Kh.
