Aero Squadron
Older, pre-1948 Aero Squadron hat with
cap piece.
Founded in 1926,  Sheriff Traeger  bestowed "Deputy  Air Sheriff's"
status on five volunteer pilots,  forming the first Aero Squadron in the
nation.
In 1933, the Sheriff's Aero  Squadron was officially authorized by the
Board of Supervisors.  It had grown to twenty-five planes and one blimp.
Pre-1948 cap piece.
Aero Squadron, started
in 1933, became the
Aero Bureau in the
1960's.  Aero Bureau
members, now, do not
have a special badge.
An excellent Aero Bureau website is available here.
Two above pictures are of the last three Bell helicopters in
service, just before they were decommissioned.
Pictures taken by me at Wayside APR about 30 years ago
in early 1980's.

Early badge worn on leather flying jacket.
pre-1948 badge
Another variation of the
Aero Squadron hat piece.
Courtesy of PatchBook.com
A late Aero Squadron badge
in a range of numbers I
haven't seen before.
Courtesy of PatchBook.com
Aero Squadron retired flat
badge.
Aero Bureau wings.
Aero Squadron Base Long Beach
Later version of badge worn.  
Usually pilots will wear the cloth
badge on a jumpsuit.
Aero Squadron License Plate Topper