The collisionless, supercritical, quasi-perpendicular fast shock is in
vestigated on sub-ion scales using an implicit, two-dimensional (2-D)
full. particle code. For the first time, simulations are carried out w
ith realistic characteristic frequencies and sufficiently high mass ra
tio between the protons and electrons. As a result, there is relativel
y little scattering of the electrons, i.e., they behave;largely adiaba
tically as previously suggested based on spacecraft observations at th
e Earth's bow shock. The large mass ratio also allows for a realistic
description of the whistler mode dispersion. Phase-standing whistlers
with propagation along the shock normal appear as transients. The domi
nant whistlers found at late times in the simulations have upstream di
rected group velocity but propagate at oblique direction between the s
hock normal and the ambient magnetic field. Their properties match tho
se of the ubiquitous observed upstream whistlers (''one-Hertz waves'')
.