WordPressカテゴリーを検索できるようにする

+------------+---------------------+------+-----+---------+----------------+
| Field      | Type                | Null | Key | Default | Extra          |
+------------+---------------------+------+-----+---------+----------------+
| term_id    | bigint(20) unsigned | NO   | PRI | NULL    | auto_increment |
| name       | varchar(200)        | NO   | MUL |         |                |
| slug       | varchar(200)        | NO   | MUL |         |                |
| term_group | bigint(10)          | NO   |     | 0       |                |
+------------+---------------------+------+-----+---------+----------------+

function search_category()
{
     
     global $wpdb;

     $s = $_GET['s'];
     $s = $wpdb->esc_like($s);
     $s = '%' . $s . '%';

     $sql ="
          SELECT *
          FROM $wpdb->terms 
          WHERE name LIKE %s
          LIMIT 100
     ";

     return  $wpdb->get_results($wpdb->prepare($sql, $s));

}

if (function_exists('search_category')) {
     $categories = search_category();
}

foreach ($categories as $category) :
     $term_id = $category->term_id;
     $name = $category->name;
     $slug = $category->slug;
     $term_group = $category->term_group;
endforeach;