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Full-Text Articles in Physics
The Spectral Function Of A Composite From Reflectance Data., Anthony Day, M. Thorpe, A. Grant, A. Sievers
The Spectral Function Of A Composite From Reflectance Data., Anthony Day, M. Thorpe, A. Grant, A. Sievers
Anthony Roy Day
In the Bergman-Milton spectral representation for the effective dielectric constant of a composite all relevant geometric information is captured in a spectral function that is independent of material properties. We present numerical simulations of the reflectance of a model two component composite, where both components have temperature-dependant dielectric resonances, and show that the spectral function can be extracted from the data. The same spectral function is obtained from simulation data corresponding to different temperatures but the resolution depends on the width of the resonance line and is greatest at low-temperatures.
The Spectral Function Of Composites: The Inverse Problem, Anthony Day, M. Thorpe
The Spectral Function Of Composites: The Inverse Problem, Anthony Day, M. Thorpe
Anthony Roy Day
No abstract provided.
Stability Of Networks Under Tension And Pressure, Anthony Roy Day, H. Yan, M. F. Thorpe
Stability Of Networks Under Tension And Pressure, Anthony Roy Day, H. Yan, M. F. Thorpe
Anthony Roy Day
The number of zero-frequency modes of an elastic network is an important quantity in determining the stability of the network. We present a constraint-counting method for finding this number in general central-force networks that are under an external tension. The technique involves isolating the backbone and then counting constraints in the same way as for free standing networks. A detailed example of this counting is given for a random two-dimensional network subject to an external tension. The results are shown to agree with the number of zero-frequency modes as determined by a direct matrix diagonalization.