In this paper, we analytically prove a unique duality relation between the eigenspectra of paraxial optical cavities with nonspherical mirrors: a one-to-one mapping between eigenmodes and eigenvalues of cavities deviating from flat mirrors by h(r) and cavities deviating from concentric mirrors by -h(r), where h need not be a small perturbation. We then illustrate its application to optical cavi...

This paper presents a concept for ultralightweight deformable mirrors, based on a thin substrate of optical surface quality, coated with continuous active layers that provide separate modes of actuation at different length scales. This concept eliminates any kind of stiff backing structure for the mirror surface and exploits microfabrication technologies to provide tight integration of the acti...

Contemporary pragmatists, especially those who follow Richard Rorty’s lead, have contested the philosophical paradigm they have referred to as ‘representationalism’: the idea that our claims or beliefs describe or are ‘about’ the world. These ‘new pragmatists’ have often been seen to be in an antagonistic relationship with their antecedents, the pragmatists of the turn of the 20th century: thes...

News media are in a position to project certain perspectives on domestic violence while marginalizing others, which has implications for public understanding and policy development. This study applies discourse analysis to articles on domestic violence in two U.K. national daily newspapers published in 2001-2002 and 2011-2012 to evaluate evidence of change over a 10-year time span. The research...

What do we see in a mirror? There is an ongoing debate over whether mirrors present us with images of objects or see, through the mirror, themselves. Roberto Casati has recently argued that there categorical difference between and mirror reflections. His argument depends on observation mirrors, but not paintings, are sensitive to changes observer’s perspective. In our paper scrutinize Casati’s ...