Recent studies have demonstrated that detailed monitoring of gravitational
microlensing events can reveal the presence of planets orbiting the microlensed
source stars. With the potential of probing planets in the Galactic Bulge and
Magellanic Clouds, such detections greatly increase the volume over which
planets can be found. This paper expands on these original studies by
considering the effect of planetary phase on the form of the resultant
microlensing light curve. It is found that crescent-like sources can undergo
substantially more magnification than a uniformly illuminated disk, the model
typically employed in studying such planets. In fact, such a circularly
symmetric model is found to suffer a minimal degree of magnification when
compared to the crescent models. The degree of magnification is also a strong
function of the planet's orientation with respect to the microlensing caustic.
The form of the magnification variability is also strongly dependent on the
planetary phase and from which direction it is swept by the caustic, providing
further clues to the geometry of the planetary system. As the amount of light
reflected from a planet also depends on its phase, the detection of extreme
crescent-like planets requires the advent of 30-m class telescopes, while light
curves of planets at more moderate phases can be determined with today's 10-m
telescopes.Comment: 7 pages, 7 figures, to appear in the MNRA