Populating Cities / Neighborhoods in jQuery with fields in Array

I have the following JS.

<script type="text/javascript" src="https://code.jquery.com/jquery-1.11.3.js"></script><scripttype="text/javascript">

      $(document).ready(function(){

         $("select[name=cidade]").change(function(){
            $("select[name=bairro]").html('<option value="0">Carregando...</option>');

            $.post("bairros.ajax.php",
                  {cidade:$(this).val()},
                  function(valor){
                     $("select[name=bairro]").html(valor);
                  }
                  )

         })
      })

</script>

And HTML

<form action="" method="post">
   <select name="cidade">
       <option value="0">Escolha uma Cidade</option>
        <?php
         mysql_connect("localhost", "root", "");
         mysql_select_db("jcentregas");

         $sql = "SELECT * FROM cidade ORDER BY cidade ASC";
         $qr = mysql_query($sql) or die(mysql_error());
         while($ln = mysql_fetch_assoc($qr)){
            echo '<option value="'.$ln['idCidade'].'">'.$ln['cidade'].'</option>';
         }
      ?>

    </select>

    <select name="bairro">
       <option value="0" disabled="disabled">Escolha uma cidade Primeiro</option>
    </select>
</form>

bairros.ajax.php

 mysql_connect("localhost", "root", "");
 mysql_select_db("jcentregas");

$cidade = $_POST['cidade'];

$sql = "SELECT * FROM bairro WHERE idCidade = '$cidade' ORDER BY bairro ASC";
$qr = mysql_query($sql) or die(mysql_error());

if(mysql_num_rows($qr) == 0){
   echo  '<option value="0">'.$_POST['cidade']."->".htmlentities('Não bairros nesta cidade').'</option>';

}else{
   while($ln = mysql_fetch_assoc($qr)){
      echo '<option value="'.$ln['idBairro'].'">'.$ln['bairro'].'</option>';
   }
}

Theoretically it works perfectly. However, I would like the field names to be in array because there are several cities and several neighborhoods that can be selected example:

In this image, I can add several fields with the same name and pass them in the array ... can you do this with the cities / neighborhoods in jquery and html above?