Why not just use Slim's Response Object? (also... why exit?)
$dataAry = // Some data array
$response = $app->response();
$response['Content-Type'] = 'application/json';
$response['X-Powered-By'] = 'Potato Energy';
$response->status(200);
// etc.
$response->body(json_encode($dataAry));
// Or echo json_encode($dataAry)
Let me preface by saying I still consider myself a noob so if I'm making errors please correct me so I can learn. But, I was playing with a similar problem/question and I thought I might chime in with 2 cents and archive a little more discussion on the matter. The more information there is about Slim on Stack the better.
I was basically toying with the same thing and I noticed that you were using exit; At first, I was using exit also because echo was including a bunch of HTML and mucking up what was being returned to my AJAX call. When I used exit, it cleanly cut the HTML out but then the Slim response object wasn't changing the response headers as I defined (see above code.)
What I realized was that this isn't how Slim was designed to work. Use echo, not exit. NOTE - Slim Doc:
Whenever you echo() content from within a route callback, the echo()’d content is captured >in an output buffer and later appended to the Response body before the HTTP response is >returned to the client.
That's convenient, but I was not able to echo. What I was messing up on was a bigger problem. Separation of content from behavior. If you're like me, you're setting up a single page application where this code basically sits on index.php. There is initial html that I needed to load up so I included it on that page. What I needed to do was create a cleaner separation. My routing was properly set up and so when people GET '/' the Slim_Views (see Develop Rel.) returns a rendered template of html and js for me. Brilliant!
Now I have all of Slim's tools at disposal and my code is much much cleaner, separate, manageable, and more compliant with http protocols. I guess this is what frameworks are for. :-)
NOTE: I'm not saying all this is what went down on your end, but I thought the question and your setup seemed very similar. It might help another new guy who wanders down this same path.
UPDATE: As @alttag mentions, this answer is getting out of date (Slim 2)
For Slim3, see an answer below or see this page in the documentation