如何捕获异常并引发其他异常

Question

我有一个方法，其代码可以引发ArgumentException。我做了一个扩展Exception的自定义异常，我想将内部异常设置为原始异常的那个异常抛出该异常，如下所示：

private void ConvertOldFormulary()
    {
        try
        {
            if (_instance.NewScriptFormat)
            {
                _oldFormulary = _instance.OldFormularyData.AsEnumerable().Select(x => new Item(
                    x.Field<string>(3), x.Field<string>(1), x.Field<string>(2), x.Field<string>(5), x.Field<string>(7),
                    x.Field<string>(11), x.Field<string>(14), x.Field<string>(16), x.Field<string>(17),
                    x.Field<string>(21))).ToList().ToDictionary(x => x.ItemId, x => x);
            }
            else
            {
                _oldFormulary = _instance.OldFormularyData.AsEnumerable().Select(x => new Item(
                    x.Field<string>(1), x.Field<string>(3), x.Field<string>(5), x.Field<string>(6), x.Field<string>(8),
                    x.Field<string>(12), x.Field<string>(15), x.Field<string>(17), x.Field<string>(18),
                    x.Field<string>(22))).ToList().ToDictionary(x => x.ItemId, x => x);
            }
        }
        catch(ArgumentException e)
        {
            throw new DuplicateMedIdException("Unable to scan, old formulary contains duplicate IDs!", e);
        }
    }

来自Java背景，这对我来说非常有意义。此方法由我的Scanner类的构造函数调用，如下所示：

public Scanner(Main instance, BackgroundWorker worker)
    {
        _instance = instance;
        _worker = worker;

        ConvertDataTablesToDictionaries();
    }

    private void ConvertDataTablesToDictionaries()
    {
        var oldThread = new Thread(ConvertOldFormulary);
        var newThread = new Thread(ConvertNewFormulary);

        oldThread.Start();
        newThread.Start();

        oldThread.Join();
        newThread.Join();
    }

我希望该自定义异常在调用堆栈中传播并得到更高的处理。目前，这只是停止执行，告诉我未处理我的自定义异常。如何像在Java中一样，将这种自定义异常传播到Scanner类的调用者？