如果需要进行身份验证，如何才能使此AJAX调用正常工作？

I would like to know how I can make AJAX calls to the Twitter API in order to get pictures of twitter users and display them back to the browser . The thing is that when I use the PHP method , it takes a VERY VERY LONG time to display profile pictures of a 100 twitter users generated by a loop .. So through this URL below that returns information about a twitter user, how could I use it with Jquery AJAX in order to fetch profile pictures images ? This requires the call to be authenticated ..I would like to know how I can make AJAX calls