Abstract: Design of a wavefront sensing system for an adaptive optical system requires knowledge of the spatial content of the aberrations to be sensed. Rules of thumb using quantities such as the number of actuators across the diameter of a deformable mirror are often used, but these may not work well for system with irregular actuator configurations or significant inter-actuator coupling. A novel approach using Fourier transform analysis of a matrix decomposition of the deformable mirror influence function matrix is presented. This approach allows the calculation of the spatial content of the aberrations corrected by a deformable mirror with an arbitrary actuator configuration and the design of a wavefront sensor to support that deformable mirror. !4
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