5 March 1996 Real-time aberration correction using phase diversity on the IBM SP2 parallel computer
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Abstract
Optical aberrations are characterized by orthogonal basis functions composed of discretized Zernike polynomials. The coefficients associated with each Zemike polynomial can be measured using a Phase Diversity wave front sensing technique. Nonlinear optimization techniques are utilized to calculate the Zernike coefficients in a serial manner. Even though this traditional method is attractive, it is computationally a very formidable task to calculate several Zernike coefficients for a given system. Hence the method is not applicable in a real time image reconstruction scheme. In this paper we first show that each Zemike coefficient can be calculated independently in a parallel fashion from each other. Our method uses nonlinear optimization of a single variable only. We use a modified Gonsalves error metric function involving only a single unknown aberration coefficient. Next, we describe an implementation of the algorithm on the IBM SP2 parallel computer. We used the PVM software for parallelizing the computational tasks across the processors in a "master/slave" fashion. We will show that the computation can be performed in an efficient manner using this strategy. Key Words: optical aberration; Zernike polynomials; Zernike coefficients; phase diversity; parallel computation
© (1996) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Meledath Damodaran, Meledath Damodaran, Shane Bumpers, Shane Bumpers, Richard A. Carreras, Richard A. Carreras, Gregory L. Tarr, Gregory L. Tarr, Sergio R. Restaino, Sergio R. Restaino, } "Real-time aberration correction using phase diversity on the IBM SP2 parallel computer", Proc. SPIE 2661, Real-Time Imaging, (5 March 1996); doi: 10.1117/12.628710; https://doi.org/10.1117/12.628710
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