The energy spectrum and matrix elements of transition of the laser het
erostructure with ultra-thin active layer, having a thickness modulati
on at least in one direction, are investigated. It is shown that the d
ensity-of-states distribution has more or less evident peaks and dips
depending on the modulation depth. This case is shown to be a kind of
transition from 2-D quantum well to an array of 1-D quantum wires or t
o a 2-D network of 0-D quantum cells (under 2D-spatial modulation). Pr
ovided the parameters of the profiled structure are properly chosen, t
he profiled structure will have advantages over an ordinary quantum we
ll: 1) the presence of the density-of-states peak leads to a fixation
of the laser radiation wavelength and to an increase of the differenti
al gain in the practically important range of the pumping current; 2)
the presence of the density-of-states dip leads to weakening of the te
mperature dependence of the threshold current. It is shown that the ma
trix element of the working transitions in the quantum-size structure
is weakly dependent on the quasimoment in the periodic field, and the
forbidden transitions remain sufficiently suppressed relative to the w
orking transitions.