This paper describes the design of, and results from, a calibration system for optical linear displacement (shadow) sensors. The shadow sensors were designed to detect "Violin-Mode" (VM) resonances in the 0.4 mm diameter silica fibre suspensions of the test masses/mirrors of Advanced Laser Interferometer Gravitational Wave Observatory gravitational wave interferometers. Each sensor illuminated ...

Black’s (1995) model of interest rates as options assumes that there is a shadow instantaneous interest rate that can become negative, while the nominal instantaneous interest rate is a positive part of the shadow rate due to the option to convert to currency. As a result of this currency option, all term rates are strictly positive. A similar model was independently discussed by Rogers (1995)....

This paper employs the quadratic directional output distance function to derive shadow prices of China’s aggregate carbon emissions at the province level between 1997 and 2010. The empirical results indicate that the national weighted average shadow price presents an “N-shape” curve across the sample period, experiencing the initial phase of growth followed by a phase of deterioration, and then...

This paper describes the design and performance of an extremely low-noise differential transimpedance amplifier, which takes its two inputs from separate photodiodes. The amplifier was planned to serve as the front-end electronics for a highly sensitive shadow-displacement sensing system, aimed at detecting very low-level "Violin-Mode" (VM) oscillations in 0.4 mm diameter by 600 mm long fused-s...

Estimations of the shadow economies for 145 countries, including developing, transition and highly developed OECD economies over 1999 to 2005 are presented. The average size of the shadow economy (as a percent of "official" GDP) in 2004/05 in 96 developing countries is 36.7%, in 25 transition countries 38.8% and in 21 OECD countries 14.8%. An increased burden of taxation and social security con...