Abstract <p>The paper is devoted to propagation of time-harmonic mirror wave modes in hemitropic micropolar media. Dynamics equations of a hemitropic micropolar elastic solid are formulated in terms of pseudotensors formalism. Transformation formulae for translational and spinor displacements, differential pseudovector operators and constitutive pseudoscalars for the cases of space inversion and mirror reflection relative to a given plane are obtained. Simultaneous existence of the direct, inverse and mirror reflected wave modes of propagating plane waves is predicted. Plane wave propagating in hemitropic micropolar elastic media comprises the three types of wave modes: direct, inverse and mirror. Algorithm for transformation direct wave modes into inverse and mirror modes of spinor and translational displacements is proposed.</p>