In a mixing bowl, whisk together eggs, milk, vanilla, and ½ teaspoon cardamom to blend. Transfer mixture to a 15″ x 10″ x 2″ glass baking dish. Line bread slices at bottom of baking dish. Let stand 10 minutes or until egg mixture is absorbed, turning bread slices occasionally with spatula. Meanwhile, melt 1 tablespoon butter in a large nonstick skillet over medium-high heat. Add pears and sauté until beginning to soften, about 3 minutes. Transfer pears to a plate and set aside. Add 2 tablespoons butter to skillet and stir to melt. Add pomegranate juice, sugar and remaining ¾ teaspoon cardamom. Simmer until liquid is slightly thickened and syrupy, about 5 minutes. Remove sauce from heat. In another large nonstick skillet, melt remaining 1 tablespoon butter over medium heat. Add bread slices and cook 3 minutes on each side or until golden brown, turning once. Remove from pan. Cut French toast slices diagonally in half and evenly divide among plates. Top with pear slices and pomegranate sauce and serve.