TrayIconのダブルクリック

Image image = new BufferedImage(16, 16, BufferedImage.TYPE_INT_ARGB);
Graphics g = image.getGraphics();
new StarIcon().paintIcon(null, g, 0, 0);
g.dispose();
final SystemTray tray = SystemTray.getSystemTray();
PopupMenu popup = new PopupMenu();
MenuItem open = new MenuItem("Option");
MenuItem exit = new MenuItem("Exit");
final TrayIcon icon = new TrayIcon(image, "Click Test", popup);
popup.add(open);
popup.add(exit);
icon.addMouseListener(new MouseAdapter() {
  @Override public void mouseClicked(MouseEvent e) {
    if (e.getButton() == MouseEvent.BUTTON1 && e.getClickCount() == 2) {
      frame.setVisible(true);
    } else if (frame.isVisible()) {
      frame.setExtendedState(Frame.NORMAL);
      frame.toFront();
    }
  }
});
open.addActionListener(new ActionListener() {
  @Override public void actionPerformed(ActionEvent e) {
    frame.setVisible(true);
  }
});
exit.addActionListener(new ActionListener() {
  @Override public void actionPerformed(ActionEvent e) {
    tray.remove(icon);
    frame.setDefaultCloseOperation(WindowConstants.EXIT_ON_CLOSE);
    // frame.dispose();
    frame.getToolkit().getSystemEventQueue().postEvent(
      new WindowEvent(frame, WindowEvent.WINDOW_CLOSING));
  }
});
try {
  tray.add(icon);
} catch (AWTException e) {
  e.printStackTrace();
}