Arrays have full value semantics in Swift, so there's no need for anything fancy.

var duplicateArray = originalArray is all you need.

If the contents of your array are a reference type, then yes, this will only copy the pointers to your objects. To perform a deep copy of the contents, you would instead use map and perform a copy of each instance. For Foundation classes that conform to the NSCopying protocol, you can use the copy() method:

let x = [NSMutableArray(), NSMutableArray(), NSMutableArray()]
let y = x
let z = { $0.copy() }

x[0] === y[0]   // true
x[0] === z[0]   // false

Note that there are pitfalls here that Swift's value semantics are working to protect you from—for example, since NSArray represents an immutable array, its copy method just returns a reference to itself, so the test above would yield unexpected results.