7,732 research outputs found
Asymptotic behavior of odd-even partitions
Full text linkAndrews studied a function which appears in Ramanujan's identities. In
Ramanujan's "Lost" Notebook, there are several formulas involving this
function, but they are not as simple as the identities with other similar shape
of functions. Nonetheless, Andrews found out that this function possesses
combinatorial information, odd-even partition. In this paper, we provide the
asymptotic formula for this combinatorial object. We also study its companion
odd-even overpartitions
Plasmonic Rainbow Trapping Structures for Light Localization and Spectrum Splitting
Get PDF“Rainbow trapping” has been proposed as a scheme for localized storage of broadband electromagnetic radiation in metamaterials and plasmonic heterostructures. Here, we articulate the dispersion and power flow characteristics of rainbow trapping structures, and show that tapered waveguide structures composed of dielectric core and metal cladding are best suited for light trapping. A metal-insulator-metal taper acts as a cascade of optical cavities with different resonant frequencies, exhibiting a large quality factor and small effective volume comparable to conventional plasmonic resonators
Handover Management in Highly Dense Femtocellular Networks
Full text linkFor dense femtocells, intelligent integrated femtocell/macrocell network
architecture, a neighbor cell list with a minimum number of femtocells,
effective call admission control (CAC), and handover processes with proper
signaling are the open research issues. An appropriate traffic model for the
integrated femtocell/macrocell network is also not yet developed. In this
paper, we present the major issue of mobility management for the integrated
femtocell/macrocell network. We propose a novel algorithm to create a neighbor
cell list with a minimum, but appropriate, number of cells for handover. We
also propose detailed handover procedures and a novel traffic model for the
integrated femtocell/macrocell network. The proposed CAC effectively handles
various calls. The numerical and simulation results show the importance of the
integrated femtocell/macrocell network and the performance improvement of the
proposed schemes. Our proposed schemes for dense femtocells will be very
effective for those in research and industry to implement
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