There are disclosed a low driving voltage surface emitting semiconductor laser and an optoelectronic integrated which comprises a two-dimensional array of such surface emitting semiconductor lasers which are modulatable with input signals of small voltage amplitudes. In an embodiment of the present invention, an optical semiconductor device includes a GaAs substrate 105, and an epitaxial growth layer structure on the GaAs substrate, the epitaxial growth layer structure including in the named order a p type GaAs/AlAs multilayer semiconductor mirror layer 104, an active layer 103 and an n type GaAs/AlAs multilayer semiconductor mirror layer 102. The epitaxial growth layer structure is etched to the depth of the active layer in forming a mesa, while the p type mirror layer remains unetched throughout a top surface of the semiconductor substrate.