How to get user by display_name with WP_User_Query

Question

I'm using WP_User_Query to get user by display_name and other columns such as: user_login, user_nicename. Here is the code:

$my_users = new WP_User_Query(
            array( 
                'role' => 'technician',
                'search' => '*' . $search . '*',
                'search_columns' => array(
                    'user_login',
                    'user_nicename',
                    'user_email',
                    'user_url',
                    'display_name'
                )
            )
        );

It works if I search a user which display_name is John Doe, but if I search Doe John it obviously doesn't work. How can solve this problem?
Thanks.

P.S. : I have enabled the display_name search in functions.php file using this code:

/**
 * Add support for the "display_name" search column in WP_User_Query
 * 
 * @see http://wordpress.stackexchange.com/a/166369/26350
 */
add_filter( 'user_search_columns', function( $search_columns ) {
    $search_columns[] = 'display_name';
    return $search_columns;
} );