The vortex structure of pure d(x2-y2)-wave superconductors is microsco
pically analyzed in the framework of the quasiclassical Eilenberger eq
uations. A self-consistent solution for the d-wave pair potential is o
btained in the case of an isolated vortex. The vortex core structure,
i.e., the pair potential, the supercurrent, and the magnetic field, is
found to be fourfold symmetric even in the case that the mixing of th
e s-wave component is absent. The detailed temperature dependences of
these quantities are calculated. The fourfold symmetry becomes clear w
hen the temperature is decreased. The local density of states is calcu
lated for the self-consistently obtained pair potential. From the resu
lts, we discuss the flow trajectory of the quasiparticles around a vor
tex, which is characteristic in d(x2-y2)-wave superconductors. The exp
erimental relevance of our results to high-temperature superconductors
is also given.