A theory for refractive scintillations of pulsars is developed for two type
s of spectra for electron-density fluctuations in the interstellar medium:
power-law and piecewise power-law with a break. Expressions for the refract
ive-scintillation parameters are obtained for the cases of a uniform distri
bution of inhomogeneities along the line of sight, a phase screen, and a me
dium localized near the source or the observer. Comparison of the theory an
d five-year observations of flux variations for 21 pulsars at 610 MHz shows
that the interstellar medium is highly nonuniform at dispersion measures D
M > 30 pc/cm(3). Variations of scintillation parameters are determined main
ly by electron-density variations, rather than the distance to the source.
We present a way to estimate the location and thickness of the effective la
yer of turbulent medium that gives rise to the observed scintillations. Sci
ntillation parameters are estimated for the observed pulsars. Two types of
spectra are realized in the interstellar medium: pure power-law and piecewi
se power-law with a break. The spectral break corresponds to the characteri
stic scale l similar or equal to 3 x 10(10) cm. Pure power-law spectra are
realized when there is a diffuse medium filling nearly uniformly all of spa
ce along the line of sight, while spectra with a break are typical when the
re is a medium with compact features localized near the source.