Infants with intrauterine growth restriction are known to be at increased risk for long term neurodevelopmental delay into adulthood. The main mechanism for this is likely decreased blood flow to the brain secondary to altered placental blood flow. Antioxidants may serve to protect the developing brain from this process. Animal studies have shown that pomegranate juice protects the fetal brain from injury in a model of stroke. This clinical trial is intended to evaluate if giving mothers pomegranate juice during the last several weeks of pregnancy can help protect intrauterine growth restricted babies' brains.