Get name of enclosing java method based on caret location

I have an action in "EditorPopupMenu" group. When a java file is open in the editor and user triggers this action through a keyboard shortcut, i am able to get the caret logical position and also enclosing java file. Whats the best way to get the enclosing java method name based on the caret position

@Override
public void actionPerformed(AnActionEvent anActionEvent) {
    //Get all the required data from data keys
    final Editor editor = anActionEvent.getRequiredData(CommonDataKeys.EDITOR);
    final Project project = anActionEvent.getRequiredData(CommonDataKeys.PROJECT);
    final Document document = editor.getDocument();
    PsiFile psiFile = PsiDocumentManager.getInstance(project).getPsiFile(document);
    if (psiFile instanceof PsiJavaFile) {
        System.out.println("found java file");
        PsiJavaFile psiJavaFile = (PsiJavaFile) psiFile;
    }
}