Negative-Index Metamaterials: Second-Harmonic Generation, Manley-Rowe Relations and Parametric Amplification

Second harmonic generation and optical parametric amplification in negative-index metamaterials (NIMs) are studied. The opposite directions of the wave vector and the Poynting vector in NIMs results in a "backward" phase-matching condition, causing significant changes in the Manley-Rowe relations and spatial distributions of the coupled field intensities. It is shown that absorption in NIMs can be compensated by backward optical parametric amplification. The possibility of distributed-feedback parametric oscillation with no cavity has been demonstrated. The feasibility of the generation of entangled pairs of left- and right-handed counter-propagating photons is discussed.Comment: 7 pages, 6 figure

Amplitude and phase representation of quantum invariants for the time dependent harmonic oscillator

The correspondence between classical and quantum invariants is established. The Ermakov Lewis quantum invariant of the time dependent harmonic oscillator is translated from the coordinate and momentum operators into amplitude and phase operators. In doing so, Turski's phase operator as well as Susskind-Glogower operators are generalized to the time dependent harmonic oscillator case. A quantum derivation of the Manley-Rowe relations is shown as an example

Underground railroads: citizen entitlements and unauthorized mobility in the antebellum period and today

In recent years, some scholars and prominent political figures have advocated the deepening of North American integration on roughly the European Union model, including the creation of new political institutions and the free movement of workers across borders. The construction of such a North American Union, if it included even a very thin trans-state citizenship regime, could represent the most significant expansion of individual entitlements in the region since citizenship was extended to former slaves in the United States. With such a possibility as its starting point, this article explores some striking parallels between the mass, legally prohibited movement across boundaries by fugitive slaves in the pre-Civil War period, and that by current unauthorized migrants to the United States. Both were, or are, met on their journeys by historically parallel groups of would-be helpers and hinderers. Their unauthorized movements in both periods serve as important signals of incomplete entitlements or institutional protections. Most crucially, moral arguments for extending fuller entitlements to both groups are shown here to be less distinct than may be prima facie evident, reinforcing the case for expanding and deepening the regional membership regime

A new foundational economy academy in Wales: scoping and feasibility study

This report conducted a ‘Scoping and Feasibility Study for a new Foundational Economy Academy’ in Wales, during the first quarter of 2022. We explored how to effectively enhance the Foundational Economy (FE) capability of public service practitioners and learn lessons from the celebrated Preston Model. The report conducted primary research and reviewed academic and practitioner literature. All sectors of the economy operate in a Volatile, Uncertain, Complex, Ambiguous (VUCA) world and exogenous shocks are likely to become more frequent. Public service organisations (PSOs) in Wales have had to deal with multiple challenges including COVID-19, Wellbeing of Future Generations Act obligations, 2030 Net Zero targets, social welfare reforms and Brexit repercussions. These challenges are more acute due to increased financial pressures which manifests into ‘having to do more with less’. Key foundational sectors remain resilient during times of crisis, and the foundational economy offers regional economic stability. The Foundational Economy in Wales is growing and is of vital importance to regional development. FE implementation capability is heterogeneous, and the principles of FE not fully understood. This report outlines the nascent literature and details ‘what works’ in terms of developing FE capability, in Wales. We propose a FE Capability Development framework. We also outline the lessons from the celebrated Preston model. Its success came from engaging multiple stakeholders to coproduce an ecosystem of local government, development agencies, cooperatives and trade unions to implement community wealth building principles with the University of Central Lancashire providing academic insights and facilitation. The report recommends establishing a Foundational Economy Academy in Wales to support PSOs to develop FE capability. The FE Academy could develop a repository of content and interventions and act as a quality assurance function. The FE Academy could also contribute to the development of a regional ecosystem that supports public and private sectors to collaborate with policymakers to generate and retain wealth in Wales. In terms of next steps, we suggest a study that systematically maps and reviews available FE learning content and interventions to develop a robust FE knowledge repository would be valuable. The study could also identify gaps in capability across PSOs to develop interventions, in collaboration with PSOs. A pilot FE programme community of practice would be timely to augment FE activity

Virtual Compton Scattering and Neutral Pion Electroproduction in the Resonance Region up to the Deep Inelastic Region at Backward Angles

We have made the first measurements of the virtual Compton scattering (VCS) process via the H$(e,e'p)\gamma$ exclusive reaction in the nucleon resonance region, at backward angles. Results are presented for the $W$-dependence at fixed $Q^2=1$ GeV$^2$, and for the $Q^2$-dependence at fixed $W$ near 1.5 GeV. The VCS data show resonant structures in the first and second resonance regions. The observed $Q^2$-dependence is smooth. The measured ratio of H$(e,e'p)\gamma$ to H$(e,e'p)\pi^0$ cross sections emphasizes the different sensitivity of these two reactions to the various nucleon resonances. Finally, when compared to Real Compton Scattering (RCS) at high energy and large angles, our VCS data at the highest $W$ (1.8-1.9 GeV) show a striking $Q^2$- independence, which may suggest a transition to a perturbative scattering mechanism at the quark level.Comment: 20 pages, 8 figures. To appear in Phys.Rev.

Photoproduction of phi mesons from nuclei

We investigate the consequences of possible medium modifications of the phi meson at finite nuclear matter density on the K+K- mass distribution in photonuclear reactions. The inclusive cross sections for K+K- pair production are calculated within a semi--classical BUU transport model, which combines the initial state interaction of the incoming photon with the final state interactions of the produced particles. The effects of final state interactions on the invariant mass distribution of the observed K+K- pairs are discussed in detail. In addition we calculate the Coulomb correction and possible effects of hadronic kaon potentials on the K+K- mass spectrum. Due to the large cross sections for reactions of the final state particles with the surrounding nuclear medium and the influence of the Coulomb potential we find no measurable sensitivity of the observables to the phi properties at finite baryon density.Comment: revtex4, 24 page

Dynamics of the 16^{16}O(e,e'p) cross section at high missing energies

We measured the cross section and response functions (R_L, R_T, and R_LT) for the 16O(e,e'p) reaction in quasielastic kinematics for missing energies 25 60 MeV and P_miss > 200 MeV/c, the cross section is relatively constant. Calculations which include contributions from pion exchange currents, isobar currents and short-range correlations account for the shape and the transversity but only for half of the magnitude of the measured cross section