Dr David Buscher, Astrophysics Group Room 918, Rutherford Building, x37302 E-mail: dfb@mrao.cam.ac.uk Meet to discuss 2:15pm on Tuesday October 22nd in rm 918 1. A laser beacon wavefront sensor for large telescopes (T/C) Wavefront sensors are a key component of the adaptive optics systems which are used in large telescopes to correct the image distortions introduced by the Earth's atmosphere. This project is aimed at testing a new idea in wavefront sensing (see http://www.mrao.cam.ac.uk/~dfb/teaching/pt3/pppp.pdf), in which the intensity of a laser beam propagating upwards from a telescope is used to derive the distortions experienced by downward-propagating light from the astronomical object. The principles involved have been analysed using simple models, but more rigourous analysis is required to prove the usefulness of the new technique. The project involves simulating the propagation of light through multiple atmospheric layers to test the predictions of the simple theory and to determine the best choice of experimental parameters. A good understanding of Fresnel and Fraunhofer diffraction is essential, as are computing skills in Fortran, C or Python. 2. The Part II waveguide experiment enters the 21st century (E) The waveguide experiment currently offered to Cambridge undergraduates is based on 1960s equipment which is increasingly hard to maintain. It is proposed to offer a new experiment in which the microwave waveguides are replaced with their modern equivalent, single-mode optical fibres. The aim of the project is to participate in the design of the new experiment and to carefully test its suitability for part II undergraduates. This project would suit someone with good experimental skills and an interest in physics education. 3. Image deconvolution techniques for speckle polarimetry (T/C) Determining the polarisation of the light emitted from astronomical sources can yield detailed information about scattering processes in a wide range of astronomical sources. However, the angular scales on which objects are most highly polarised can in many cases be far less than the intrinsic angular resolution limit set by the "blurring" due to the Earth's atmosphere. Speckle imaging is a long-established technique for circumventing this blurring, but its application to polarimetry has been limited. The aim of this project is to test a new method of applying speckle techniques to polarimetric imaging. The project will involve numerically simulating the atmospheric blurring process and using deconvolution techniques to "deblur" the images. If time permits, the techniques developed in simulation will be used to analyse images of the dust envelopes surrounding the carbon star IRC+10216. The student undertaking this project should have a good understanding of Fourier transforms and be reasonably able in programming in C, Fortran or Python.