Re: Just to throw into the mix,
Indeed; the British use of the term is generally synonymous with "South Asian", i.e. those from or around the Indian subcontinent.
The American meaning appears to be essentially synonymous with what was once stereotypically "oriental" (a term now considered somewhat offensive)- i.e. essentially "East Asia" and much of "South-East Asia"- as far as I can tell.
Both are equally misleading uses of a term that *should* cover the whole continent, but nonetheless both common and different, so it's important to bear this in mind whether you're an American reading a UK source or vice versa.