With an access token from Instagram, you can chain a couple JSONP calls together to get a user's recent photos with only their username.
handle = 'yourusername'
api = 'https://api.instagram.com/v1'
token = 'access_token=XxxxXxxxXxxxxX'
$.getJSON "#{api}/users/search?q=#{handle}&#{token}&callback=?", (response) ->
instagram_user = false
for user in response.data
if user.username is handle
instagram_user = user
if user
$.getJSON "#{api}/users/#{instagram_user.id}/media/recent/?#{token}&callback=?", (response) ->
images = response.data
console.log images