Analysis of terahertz generation using tilted-pulse-fronts

A 2-D spatio-temporal analysis of terahertz generation by optical rectification of tilted-pulse-fronts is presented. Closed form expressions of terahertz transients and spectra in two spatial dimensions are furnished in the undepleted limit. Importantly, the analysis incorporates spatio-temporal distortions of the optical pump pulse such as angular dispersion, group-velocity dispersion due to angular dispersion, spatial and temporal chirp as well as beam curvature. The importance of the radius of curvature to the tilt-angle and group-velocity dispersion due to angular dispersion to terahertz frequency, conversion efficiency and peak field is revealed.In particular, the deterioration of terahertz frequency, efficiency and field at large pump bandwidths and beam sizes is analytically shown

Conspicious Consumption, Economic Growth, and Taxation: A Generalization

This paper studies the infuence of consumption externalities in the Ramsey model. In contrast to the recent literature, a quite general specification of preferences is used and the concept of the effective intertemporal elasticity of substitution is introduced. We give conditions for the observational equivalence between economies with consumption externalities and externality-free economies. An additional key result is that there exist several types of instantaneous utility functions in which the decentralized solution coincides with the socially planned one in spite of the presence of consumption externalities. The conditions for optimal taxation are also derived.Social status, Conspicuous consumption, Economic growth

Relative Consumption and Endogenous Labour Supply in the Ramsey Model: Do Status-Conscious People Work Too Much?

This paper introduces consumption externalities into a Ramsey-type model with endogenous labour supply and homogeneous agents. The instantaneous utility of any consumer is assumed to depend on work effort, own consumption and relative consumption, where the latter determines the individual's status in the society. Appropriate normality conditions with respect to consumption and leisure ensure that at least in the long run status-conscious individuals consume and work too much, compared to the social optimum, and that the capital stock is too high. Public policy can, however, induce the private sector to attain the social optimum by designing an optimal consumption tax policy.Status, Relative consumption, Work effort

Status Seeking in the Small Open Economy

In our modified version of the small open economy Ramsey model, we assume that agents have preferences over consumption and status which, in turn, is determined by relative wealth. This extension potentially eliminates the standard model's counterfactual result that an impatient country over time mortgages all of its capital and labor income. We show that the steady-state values of net assets and consumption, the speed of convergence and, in particular, the direction of adjustment during the transition depend crucially upon the degree of status consciousness. The latter also influences the economy's response to macro-economic shocks.Status seeking, Relative wealth, Open economy dynamics