Numerical Solution of Sidelobe Intensity for Phase-Shifting Apodizers

概要

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An effective method to accurately calculate sidelobe intensity for phase-shifting apodizers of three or more portions is presented. With this method, complete optimization is performed to obtain the optimal parameters of the apodizer. A complicated Bessel equation is simplified into a cosine equation, so that an upper bound function can be derived which will accelerate the solving procedure. Moreover, in this case, quadratic equations are applied to approximate the complex nonlinear equations, thus accelerating the solving procedure. Optimization results show that it is not always advantageous to apply as many portions as possible due to the marked decrease in central peak intensity ratio. The reason why the central peak intensity ratio drops greatly with increasing number of phase portions is also explained.
Publication Office, Japanese Journal of Applied Physics, Faculty of Science, University of Tokyoの論文
2003-01-15