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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.
Spectral Function Of Composites From Reflectivity Measurements, Anthony Day, A. Grant, A. Sievers, M. Thorpe
Spectral Function Of Composites From Reflectivity Measurements, Anthony Day, A. Grant, A. Sievers, M. Thorpe
Anthony Roy Day
We demonstrate a method of calculating the spectral function of a composite from measured reflectivity data. To solve this inverse problem it is necessary for the reflectivity data to be taken through a strong, high Q, resonance. By analyzing the reststrahlen region of different fill fraction KCl-diamond composites at three different temperatures, we find accurate spectral functions that are independent of temperature with the low temperature data giving the best resolution. These spectral functions are then used to successfully predict the optical response of RbCl-diamond composites.
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.
The Spectral Function Of Random Resistor Networks, Anthony Day, M. Thorpe
The Spectral Function Of Random Resistor Networks, Anthony Day, M. Thorpe
Anthony Roy Day
The effective complex conductivity [...] of a two-component material can be conveniently expressed as an integral transformation of a spectral function. The spectral function depends only on the geometry of the material, and can be used to calculate [...] for any particular choice of component conductivities. This is a very useful feature if the component conductivities can be varied (by changing the temperature or frequency, for example) at a fixed geometry. We present a derivation of the spectral function that identifies it as a density of states. We have made direct numerical calculations of the spectral function of two-dimensional random …