1,143 research outputs found
Surface EM waves on 1D Photonic Crystals
We study surface states of 1D photonic crystals using a semiclassical coupled
wave theory. Both TE and TM modes are treated. We derive analytic
approximations that clarify the systematics of the dispersion relations, and
the roles of the various parameters defining the crystal.Comment: 7 pages, 8 figure
Classical picture of post-exponential decay
Post-exponential decay of the probability density of a quantum particle
leaving a trap can be reproduced accurately, except for interference
oscillations at the transition to the post-exponential regime, by means of an
ensemble of classical particles emitted with constant probability per unit time
and the same half-life as the quantum system. The energy distribution of the
ensemble is chosen to be identical to the quantum distribution, and the
classical point source is located at the scattering length of the corresponding
quantum system. A 1D example is provided to illustrate the general argument
Biperiodic superlattices and the transparent state
Coquelin et al. studied biperiodic semiconductor superlattices, which consist
of alternating cell types, one with wide wells and the other narrow wells,
separated by equal strength barriers. If the wells were identical, it would be
a simply periodic system of half-cells. When asymmetry is introduced,
an allowed band splits at the Bragg point into two disjoint allowed bands. The
Bragg resonance turns into a transparent state located close to the band edge
of the lower(upper) band when the first(second) well is the wider. Analysis of
this system gives insight into how band splitting occurs. Further we consider
semi-periodic systems having half-cells. Surprisingly these have very
different transmission properties, with an envelope of maximum transmission
probability that crosses the envelope of minima at the transparent point.Comment: 12 pages, 10 figures Version 2: improved figures using colour, and
some small improvements in the text, in response to referee comments Version
3: incorporates changes which arose in proofs stag
M-atom conductance oscillations of a metallic quantum wire
The electron transport through a monoatomic metallic wire connected to leads
is investigated using the tight-binding Hamiltonian and Green's function
technique. Analytical formulas for the transmittance are derived and M-atom
oscillations of the conductance versus the length of the wire are found. Maxima
of the transmittance function versus the energy, for the wire consisted of N
atoms, determine the (N+1) period of the conductance. The periods of
conductance oscillations are discussed and the local and average quantum wire
charges are presented. The average charge of the wire is linked with the period
of the conductance oscillations and it tends to the constant value as the
length of the wire increases. For M-atom periodicity there are possible (M-1)
average occupations of the wire states.Comment: 8 pages, 5 figures. J.Phys.: Condens. matter (2005) accepte
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