Your question is very appropriate but i cannot guarantee you that what i think the best may not be the best for you.
It is out of experience that we choose what is best or not but i can give you information of some hospitals and some doctors name where in you can contact and decide where to go and whom to contact.
Since this is a specialized subject you will find that all the doctors are MD and with experience so no need to worry.
Below are the list of doctors and hospitals which I know in Chennai. This may help you out a little bit.
Dr. P. Narendran, #752, Poonamallee High Road, Kilpauk Chennai -600010 Phone: 044-26412271
Dr. A. Murugesan, #V-75, Anna Nagar, Chennai -600040, Phone: 044-26214580
Rajan Eye Care Mohan Rajan, #5, 2nd Cross Street, T. Nagar, Chennai -600017, Landmark: Behind Vidyodaya School, Phone: 044-28340500, Mobile: 9840177177 Email-id: email@example.com Website: Rajan Eye Care
Dr. Balasubramaniam #37, Rex Hospital, Millers Road Kilpauk, Chennai -600010 Landmark: Near Motcham Theatre Phone: 044-26424656
S.S.K. Ayyar New #35/ Old #16, Besant Avenue, Karpagam Garden, Adyar, Chennai -600020 Phone: 044-24919978
Dr. K. Sridhar #52, Malar Hospital, 1st Main Road, Gandhi Nagar, Adyar, Chennai -600020 Landmark: Opposite Adyar Alamaran Phone: 044-24914023, 044-24914769 Email-id: firstname.lastname@example.org Website: Malar Hospital
Sarala Neurology Hospital & Research Centre #752, Purasawalkam High Road, Vepery, Chennai -600007