Bragg-induced orbital angular-momentum mixing in paraxial high-finesse cavities

Numerical calculation of vector electromagnetic modes of plano-concave microcavities reveals that the polarization-dependent reflectivity of a flat Bragg mirror can lead to unexpected cavity field distributions for nominally paraxial modes. Even in a rotationally symmetric resonator, certain pairs of orbital angular momenta are necessarily mixed in an excitation-independent way to form doublets. A characteristic mixing angle is identified, which even in the paraxial limit can be designed to have large values. This correction to Gaussian theory is zeroth-order in deviations from paraxiality. We discuss the resulting nonuniform polarization fields. Observation will require small cavities with sufficiently high Q. Possible applications are proposed.Comment: Corrected typos in Fig. 2 and text. Added Journal Ref. For higher-quality figures, see http://darkwing.uoregon.edu/~noeckel/papers.php#xref3

Building a Movement: The Lessons of Fines and Fees

I doubt we will ever experience something we (or others) would call an Access to Justice Movement in the United States. The goal is too amorphous, lacks immediacy, and doesn’t resonate: If people don’t perceive that many of their problems have a legal solution, why would they rally to support “100 percent access to effective assistance for essential civil legal needs”? The legal system is too big, too complicated, and too removed from people’s everyday experiences. And especially in low-income communities of color, distrust of the justice system runs deep. People don’t want access to a system they believe is unjust. That is not to say, that we can’t make substantial progress toward a legal system where rights and responsibilities are equitably enforced, disputes are fairly resolved, and public safety is truly secured. But I believe it will come from issue-specific campaigns that grow out of people’s critical needs—needs they articulate

The decay of Hopf solitons in the Skyrme model

It is understood that the Skyrme model has a topologically interesting baryonic excitation which can model nuclei. So far no stable knotted solutions, of the Skyrme model, have been found. Here we investigate the dynamics of Hopf solitons decaying to the vacuum solution in the Skyrme model. In doing this we develop a matrix-free numerical method to identify the minimum eigenvalue of the Hessian of the corresponding energy functional. We also show that as the Hopf solitons decay, they emit a cloud of isospinning radiation.Comment: 10 pages, 12 image

Sporting

Sporting was an exhibition held at Demo at Auckland. The exhibition featured the artists Christina Read Danielle Foster Jack Hadley Joshua Harris-Harding Lucy Meyle Kate Russell Hannah Valentine and was hosted by Whitecliff

[Review of] Wan Hashim. Race Relations in Malaysia

Wan Hashim is presently a lecturer in the Department of Anthropology and Sociology, Universiti Kebangsaan Malaysia, Bangi, Malaysia. He obtained his master\u27s degree in Social Anthropology from Monash University, Australia, and Ph.D. from the University of Manchester

Physical Activity in the High School Curricula

My research is based on the student athletes in my classroom, who also are on the basketball team that I help coach. With my research, I plan to monitor my students’ grades while they are in season and interview them about the hard work they put into their sports and schoolwork. With this interview, I will be asking my students how much time they spend doing homework, how fatigued they are during school, how much time they spend playing their sport, and why they think their grades slip during season. Also, I plan on interviewing some of the girls on my basketball team to get their opinions on their motivation on schoolwork during their season