Plotting Phase Angles Without Jumps at +/- Pi?
- To: mathgroup at smc.vnet.net
- Subject: [mg42202] Plotting Phase Angles Without Jumps at +/- Pi?
- From: AES/newspost <siegman at stanford.edu>
- Date: Mon, 23 Jun 2003 05:49:42 -0400 (EDT)
- Sender: owner-wri-mathgroup at wolfram.com
Anyone have any clever tricks for plotting the phase angle Arg[ f[x] ]
vs x for a complex function f[x] with the annoying jumps at +/- Pi
eliminated, at least for a couple of rotations?
Specific examples I'm after are Hermite polynomials of complex argument
f[x] = HermiteH[n, a x]
with a = Exp[I theta] , theta in the range from zero to 30 degrees,
order n in the single digits, and x traversing the real axis. The
higher-order functions f[x] in this case wrap themselves around the
origin a few times as they go from minus to plus infinity.
I'm sure I can cobble something together with some work -- just
wondering if anyone has any tricky tricks to ease the pain.