  We study the field--temperature phase diagram of the two-dimensional dipolar
Ising ferromagnet on a kagome lattice with a specific ratio between the
exchange and dipolar constants, $\delta = 1$. Using the stochastic cutoff (SCO)
$O(N)$ Monte Carlo method, we calculated order parameters for stripe and bubble
phases and other thermodynamical quantities. We find two kinds of stripe phases
at low fields, where the arrangement of the branch spins neighboring the stripe
frame varies, and two bubble phases at high fields, in which three-spin domains
(bubbles) form a regular triangular lattice but the triangular array of bubbles
changes on a kagome lattice. We also find that with increasing the field, there
exist a disordered phase between the stripe and bubble phases and between the
two bubble phases. We discuss the details of the features of these phases and
phase transitions.
