向多个TCP客户端异步发送消息

我有一个服务器程序，它接受大约100000个TCP客户端，并使用异步套接字编程向它们发送数据。为了向客户端发送数据，我使用for循环，为每个客户端调用BeginSend。问题是，当我开始向客户端发送数据时，新的客户端无法连接到服务器，直到发送完成。有人能帮我解决这个问题吗?

//This is the Loop that calls Send Method
foreach (ClientInfo item in followers)
{
    Socketing.Send(item.state, JSONData);
}
public static void Send(StateObject state, String data)
{
    byte[] byteData = Encoding.UTF8.GetBytes(data);
    state.workSocket.BeginSend(byteData, 0, byteData.Length, 0, new AsyncCallback(SendCallback), state);
}
private static void SendCallback(IAsyncResult ar)
{
    StateObject state = (StateObject)ar.AsyncState;
    Socket socket = state.workSocket;
    int bytesSent = socket.EndSend(ar);
}