979 research outputs found
Acoustic guiding and subwavelength imaging with sharp bending by sonic crystal
A sharp bending scheme for the self-collimation of acoustic waves is proposed
by simply truncating the sonic crystals. An all-angle and wide-band
90{\deg}-bending wave guide is demonstrated with nearly perfect transmissions
for Gaussian beams at a wide range of incident angles. A 90{\deg}-bended
imaging for a point source with a subwavelength resolution of 0 0.37{\lambda}
is also realized by the proposed structure. These results will find
applicability in the manipulation of acoustic waves by sonic crystals.Comment: 8 pages, 5 figure
Fullerenes with the maximum Clar number
The Clar number of a fullerene is the maximum number of independent resonant
hexagons in the fullerene. It is known that the Clar number of a fullerene with
n vertices is bounded above by [n/6]-2. We find that there are no fullerenes
whose order n is congruent to 2 modulo 6 attaining this bound. In other words,
the Clar number for a fullerene whose order n is congruent to 2 modulo 6 is
bounded above by [n/6]-3. Moreover, we show that two experimentally produced
fullerenes C80:1 (D5d) and C80:2 (D2) attain this bound. Finally, we present a
graph-theoretical characterization for fullerenes, whose order n is congruent
to 2 (respectively, 4) modulo 6, achieving the maximum Clar number [n/6]-3
(respectively, [n/6]-2)
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