On mathematical and physical principles of transformations of the coherent radar backscatter matrix

The congruential rule advanced by Graves for polarization basis transformation of the radar backscatter matrix is now often misinterpreted as an example of consimilarity transformation. However, consimilarity transformations imply a physically unrealistic antilinear time-reversal operation. This is just one of the approaches found in literature to the description of transformations where the role of conjugation has been misunderstood. In this paper, the different approaches are examined in particular in respect to the role of conjugation. In order to justify and correctly derive the congruential rule for polarization basis transformation and properly place the role of conjugation, the origin of the problem is traced back to the derivation of the antenna height from the transmitted field. In fact, careful consideration of the role played by the Green’s dyadic operator relating the antenna height to the transmitted field shows that, under general unitary basis transformation, it is not justified to assume a scalar relationship between them. Invariance of the voltage equation shows that antenna states and wave states must in fact lie in dual spaces, a distinction not captured in conventional Jones vector formalism. Introducing spinor formalism, and with the use of an alternate spin frame for the transmitted field a mathematically consistent implementation of the directional wave formalism is obtained. Examples are given comparing the wider generality of the congruential rule in both active and passive transformations with the consimilarity rule.

Synchrotron X-ray imaging via ultra-small-angle scattering: principles of quantitative analysis and application in studying bone integration to synthetic grafting materials

Optimized experimental conditions for extracting accurate information at subpixel length scales from analyzer-based X-ray imaging were obtained and applied to investigate bone regeneration by means of synthetic beta-TCP grafting materials in a rat calvaria model. The results showed a 30% growth in the particulate size due to bone ongrowth/ingrowth within the critical size defect over a 1-month healing period.

Principles of contemporary corporate governance

Aims at providing a concise presentation of key topics and emerging themes in corporate governance. The text provide both law and business students, as well as practitioners of law and management, with an easy to follow explanation and analysis of key corporate governance principles.

Australian tort law reform: statutory principles of causation and the common law

By mid-2004, Parliaments in each Australian jurisdiction will either complete or will be in the process of partial codification of the law of torts. The reforms, including those to the law of negligence, are extensive. This article focuses on codification of the law of causation as an element of the cause of action in negligence. It examines the background to "tort reform", as the process has been labelled, and discusses the common law paradigm of negligence and various approaches to causation. It then analyses and compares the causation provisions in each jurisdiction.

Principles of High Quality Documentation for Provenance: A Philosophical Discussion

Computer technology enables the creation of detailed documentation about the processes that create or affect entities (data, objects, etc.). Such documentation of the past can be used to answer various kinds of questions regarding the processes that led to the creation or modification of a particular entity. The answer to such questions is known as an entity's provenance. In this paper, we derive a number of principles for documenting the past, grounded in work from philosophy and history, which allow for provenance questions to be answered within a computational context. These principles lead us to argue that an interaction-based model is particularly suited for representing high quality documentation of the past.

Principles of Personalisation of Service Discovery

We define personalisation as the set of capabilities that enables a user or an organisation to customise their working environment to suit their specific needs, preferences and circumstances. In the context of service discovery on the Grid, the demand for personalisation comes from individual users, who want their preferences to be taken into account during the search and selection of suitable services. These preferences can express, for example, the reliability of a service, quality of results, functionality, and so on. In this paper, we identify the problems related to personalising service discovery and present our solution: a personalised service registry or View. We describe scenarios in which personsalised service discovery would be useful and describe how our technology achieves them.

Principles of information warfare

This paper examines the fundamental concepts needed to understand the broad spectrum of activities encompassed by the Information Warfare phenomenon. It provides a theoretical background to these activities, and examines the context in which these are most effective.

Principles of property law

This comprehensive text covers all of the materials relevant to property law in a detailed and thorough manner. The second edition examines the basic tenants of property law,as well as specific property interests such as land interests and the way in which these interests are conveyed, registered and co-ordinated.The book considers the development of native title as a legally recognised form of property in Australia and how such an interest sits within the common law and statutory infrastructure. Principles of Property Law is a vital book for students studying this complex area and is also a valuable addition to the library of academics and practitioners interested in this field.

Principles of equity and trusts

The Principles of Equity and Trusts 3rd edition provides a comprehensive summation of the principles of equity, the law of trusts and equitable remedies. The book is designed to meet the needs of both students and practitioners.

It includes developments in areas such as the relationship between common law and equity, undue influence, tracing, interim injunctions, and resulting trusts. Covering the general principles associated with the equity and trusts jurisprudence, this textbook is useful for undergraduate study of the subject.