[{_id:ObjectId("689709653f69ce62e0c59f37"),contact:[{email:["bruce@wayneenterprises.com","batman@batcave.com"]}]},{_id:ObjectId("689709653f69ce62e0c59f38"),contact:[{email:"alfred@wayneenterprises.com"}]},{_id:ObjectId("689709653f69ce62e0c59f39"),contact:[{email:["catwoman@gotham.com"]}]}]

db.collection.find({"contact.email":{$elemMatch:{$gte:"a"}}})