Answer
Try cutting thin slices of fresh cucumber and place them over both eyes - use two if necessary and lie down with eyes closed leaving them on for about 15 minutes. This works best when used in the morning or at night before bed - see results on a daily basis and greater results with with regular use.
Answer
You may have allergies and/or yeast overgrowth (candida from bad diet). Deal the the allergies, and your nutrition, and the circles will fade. Avoid sodium benzoite (which is in many drinks), because it will aggravate your body's histamine response. You may want to take some chamomile, which is an anti-histamine. Get plenty of rest and (non-soda) fluids too -- preferably spring water or juice.
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Potatoes contain an enzyme called catecholase, which is a skin lightener often used in cosmetics.
Use a food processor, or an old fashioned grater, to mash one raw potato. Wrap your mash in a piece of cheesecloth or something similar, then apply it directly to the area beneath your eye. Be careful to not get any of the potato juice into your eye.
Allow your concoction 15 to 20 minutes to work. Then take the cloth and its contents away from your eye and rinse off the residue.