The structure of both quasi-real and highly virtual photons is investigated
using the reaction e(+)e(-) --> e(+)e(-) mu(+)mu(-), proceeding via the ex
change of two photons. The results are based on the complete OPAL dataset t
aken at e(+)e(-) centre-of-mass energies close to the mass of the Z boson.
The QED structure function F-2(gamma) and the differential cross-section d
sigma/dx for quasi-real photons are obtained as functions of the fractional
momentum x from the muon momentum which is carried by the struck muon in t
he quasi-real photon for Values of Q(2) ranging from 1.5 to 400 GeV2. The d
ifferential cross-section d sigma/dx for highly virtual photons is measured
for 1.5 < Q(2) < 30 GeV2 and 1.5 < P-2 < 20 GeV2, where Q(2) and P-2 are t
he negative values of the four-momentum squared of the two photons such tha
t Q(2) > P-2. Based on azimuthal correlations the QED structure functions F
-A(gamma) and F-B(gamma) for quasi-real photons are determined for an avera
ge Q(2) of 5.4 GeV2.