We develop a covariance-matrix-based uncertainty analysis for vector-network-analyzer scattering-parameter measurements. The covariance matrix captures all of the measurement uncertainties and statistical correlations between them. This allows the uncertainties of vector-network-analyzer scattering-parameter measurements to be propagated into the uncertainties of other quantities derived from s...

An efficient measurement methodology is proposed to construct the scattering parameters of a multi-port device using a four-port vector network analyzer (VNA) without the external un-terminated ports. By using the four-port VNA, the reflected waves from the un-terminated ports could be minimized. The proposed method significantly enhances the accuracy of the S-parameters with less number of mea...

This paper concerns the reconstruction of the absorption and scattering parameters in a time-dependent linear transport equation from full knowledge of the albedo operator at the boundary of a bounded domain of interest. We present optimal stability results on the reconstruction of the absorption and scattering parameters for a given error in the measured albedo operator.

Variable Line-Space gratings play an important role in focusing and aberration-reduced. They are widely used in spatial spectrum and synchrotron radiation facilities. However the design and fabrication methods of them are difficult. The problem is to be able to record holographically the expected grooves distribution. The geometric theory of aspheric wave-front recording optics is briefly descr...

In this paper, we propose a design method for finite impulse response (FIR) variable digital filters (VDFs) obtaining equiripple characteristic, even if notch frequencies change. The changes in filter coefficients for changes in notch frequencies are approximated by polynomials using variable parameters. In this method, the minimization problem for the polynomial coefficients with variable notc...