On diffraction within a dielectric medium as an example of the Minkowski formulation of optical momentum

The Abraham-Minkowski dilemma relates to the disputed value of the optical momentum within a dielectric medium and whether the free-space value should be divided (Abraham) or multiplied (Minkowski) by the refractive index. Although undoubtedly simplistic, these two approaches provide intuitive insight to many subtle problems in optical physics. This paper reviews a modified version of the Einstein box argument that supports an Abraham formulation, then considers diffraction within a dielectric medium and shows it supports a simple Minkowski formulation, i.e. that the optical momentum should be multiplied by the refractive index

The Rhetoric of Predictability: Reclaiming the Lay Ear in Music Copyright Infringement Litigation

[Excerpt] “Some things cannot be described. This is the theory that recent literary criticism has placed as its cornerstone. Philosopher-critic Roland Barthes identified this trend in his Mythologies, stating that critics often “suddenly decide that the true subject of criticism is ineffable, and criticism, as a consequence, unnecessary. Unfortunately, this view has become singular within the legal academy whenever an author discusses music copyright infringement analysis. It seems that scholars fear the thought of trusting a jury with such an “ineffable” subject as music and must propose alternatives, such as expert testimony, specialized courts, or mechanical analysis, that will diminish the ability of a jury of lay ears to determine what is or is not substantially similar. This article proposes that the simplest and best approach to music copyright infringement litigation is to accept the jury‘s determination of substantial similarity in its most classic form. Part II of this paper will explore the development of the current standards that the federal courts use in music copyright infringement cases. Part III will survey scholarly reactions to these standards, detailing and categorizing the variety of proposals put forth by different authors. Part IV will describe the shortcomings and unnecessary complexity of these proposals, advocating for the simplest and original approach put forth by the courts in Part II.

Orbital angular momentum 25 years on [invited]

Twenty-five years ago Allen, Beijersbergen, Spreeuw, and Woerdman published their seminal paper establishing that light beams with helical phase-fronts carried an orbital angular momentum. Previously orbital angular momentum had been associated only with high-order atomic/molecular transitions and hence considered to be a rare occurrence. The realization that every photon in a laser beam could carry an orbital angular momentum that was in excess of the angular momentum associated with photon spin has led both to new understandings of optical effects and various applications. These applications range from optical manipulation, imaging and quantum optics, to optical communications. This brief review will examine some of the research in the field to date and consider what future directions might hold

The Performance and Long-Run Characteristics of the Chinese IPO Market

We study the short-run and long-run performance of Chinese privatization initial public offerings (PIPOs), using data for 340 and 409 new issues on the Shanghai and Shenzhen Stock Exchanges respectively, from 1 January 1996 through 31 December 1997. The average market-adjusted initial return is found to be 127.31%, and the initial returns on both stock exchanges are not significantly different from each other. The average market-adjusted buy and hold return over the three years after listing is 10.26%, which is significantly different from zero at the 1% level. We then use cross-sectional analysis to explain the long-run supernormal performance of Chinese PIPOs, and find that government ownership, the offering size and the feature of belonging to a high-tech industry are the main determinants of the long-run performance. In addition, firms that perform better in the long-run tend to make more Seasoned Equity Offerings (SEOs), and the underpricing of IPOs is negatively related to their long-run performance.IPO; underpricing; long-run performance; government ownership; offering size; high tech industry; China

The Relationship between Risk, Capital and Efficiency: Evidence from Japanese Cooperative Banks

The risk-capital positions of Japanese banks have been under tension throughout the 1990s. However, existing theory on the determinants of bank risk-taking still remains limited and the evidence is conflicting. Most studies concentrate on US and European banks, while empirical evidence has remained scarce for Asian banks. Added to that, to our knowledge, there are almost no papers on this subject for cooperative banks in Japan. Thus, the main contribution of this study is to shed some light on the determinants of bank risk-taking and analyse its relationship with capital and efficiency in Japanese cooperative banking (namely shinkin and credit cooperatives banks). This paper focuses on Japanese cooperative banks as they constitute an important segment of the Japanese banking sector. We employ a simultaneous equation model in which the relationships between, risk, capital and cost inefficiency are modelled. Two stage least squares with fixed effects estimation procedure are applied to a panel data set of 263 Japanese cooperative banks over the period 2003 through 2006. The results confirm the belief that risk, capital and inefficiency are simultaneously determined. The empirical model shows a negative relationship between risk and the level of capital for Japanese cooperative banks. Inefficient Japanese cooperative banks appear to operate with larger capital and take on more risk. These arguments may reflect the moral hazard problem that exists in the banking system through exploitation of the benefits of deposit insurance. We also assess the size effects and find that larger cooperative banks holding less capital take on more risk and are less efficient.Risk; Capital; Efficiency; Japanese cooperative banks

An introduction to ghost imaging: quantum and classical

Ghost imaging has been a subject of interest to the quantum optics community for the past 20 years. Initially seen as manifestation of quantum spookiness, it is now recognized as being implementable in both single- and many-photon number regimes. Beyond its scientific curiosity, it is now feeding novel imaging modalities potentially offering performance attributes that traditional approaches cannot match

A Nonlinear Splitting Algorithm for Systems of Partial Differential Equations with self-Diffusion

Systems of reaction-diffusion equations are commonly used in biological models of food chains. The populations and their complicated interactions present numerous challenges in theory and in numerical approximation. In particular, self-diffusion is a nonlinear term that models overcrowding of a particular species. The nonlinearity complicates attempts to construct efficient and accurate numerical approximations of the underlying systems of equations. In this paper, a new nonlinear splitting algorithm is designed for a partial differential equation that incorporates self-diffusion. We present a general model that incorporates self-diffusion and develop a numerical approximation. The numerical analysis of the approximation provides criteria for stability and convergence. Numerical examples are used to illustrate the theoretical results