Analytic results for aPT-symmetric optical structure

Quantum Squeezed Light Propagation in an Optical Parity-Time (PT)-Symmetric Structure

We investigate the medium effect of a parity-time (PT)-symmetric bilayer on the quantum optical properties of an incident squeezed light at zero temperature (T=0 K). To do so, we use the canonical quantization approach and describe the amplification and dissipation properties of the constituent layers of the bilayer structure by Lorentz model to analyze the quadrature squeezing of the outgoing ...

Symmetric Error Structure in Stochastic DEA

Some results on the symmetric doubly stochastic inverse eigenvalue problem

‎The symmetric doubly stochastic inverse eigenvalue problem (hereafter SDIEP) is to determine the necessary and sufficient conditions for an $n$-tuple $sigma=(1,lambda_{2},lambda_{3},ldots,lambda_{n})in mathbb{R}^{n}$ with $|lambda_{i}|leq 1,~i=1,2,ldots,n$‎, ‎to be the spectrum of an $ntimes n$ symmetric doubly stochastic matrix $A$‎. ‎If there exists an $ntimes n$ symmetric doubly stochastic ...

Synthesizing Geovisual Analytic Results

Single analytical results are rarely “magic bullets.” To complete most analytical tasks, analysts must combine results from multiple tools derived from heterogeneous data over a significant period of time. Current visual analytics tools do not offer much in the way of dedicated tools for this activity – a portion of the analytical process called synthesis. Moreover, we know little about the way...

Inverse Spectral Problem for Analytic Domains Ii: Z2- Symmetric Domains

This paper develops and implements a new algorithm for calculating wave trace invariants of a bounded plane domain around a periodic billiard orbit. The algorithm is based on a new expression for the localized wave trace as a special multiple oscillatory integral over the boundary, and on a Feynman diagrammatic analysis of the stationary phase expansion of the oscillatory integral. The algorith...