How can I trigger the media library "query-attachments" action manually?

I'm working on a plugin that manipulates the WordPress 4.0+ Media Library.

I see that the attachments in the media library are loaded by an ajax call using the query-attachments action.

I need to programatically trigger this ajax call with my own custom arguments.

Here is a sample request that I've observed being sent to the server:

Array
(
    [action] => query-attachments
    [post_id] => 0
    [query] => Array
        (
            [orderby] => date
            [order] => DESC
            [posts_per_page] => 40
            [paged] => 2
        )

)

I would like to set the parameters myself, and then trigger this process from some custom JavaScript. How can I accomplish this?

Please let me know if I need to provide any more details.