Green’s Dictionary of Slang

a.d. n.2

also ad, add
[reversed abbr., in order to avoid confusion with the law’s DA, a district attorney; also simple abbr. of SE addict]

(US drugs) a drug addict.

[US]D. Maurer ‘Argot of the Und. Narcotic Addict’ Pt 2 in AS XIII:3 180/1: ad or add. A narcotic addict, especially a needle-addict.
[US]Anslinger & Tompkins Traffic In Narcotics 303: A.D. A drug addict.
[US]H. Braddy ‘Narcotic Argot Along the Mexican Border’ in AS XXX:2 85: AD. (Add.), n. A narcotic addict, especially a needle addict.
[US]Wentworth & Flexner DAS.
[US]E.E. Landy Underground Dict. (1972).
[US]Spears Sl. and Jargon of Drugs and Drink.
[US]ONDCP Street Terms 1: Ad — [...] drug addict.