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Can you tell me the current development status of satellite beam pattern synthesis? 


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Satellite beam pattern synthesis has seen significant development in recent years. Various methods have been proposed to optimize the synthesis process and achieve desired radiation patterns. One approach involves using time-modulated planar arrays to control both the coverage zone ripples and sidelobe levels . Another method focuses on multibeam antennas synthesis, where both the amplitude and phase of each radiating element are design variables . Genetic algorithms have also been used to synthesize complex pattern shapes of planar arrays with arbitrary geometry, while achieving good sidelobe suppression . Additionally, the use of a "wavelet" basis has been explored to describe the far field of an array, potentially improving the behavior of synthesis algorithms and speeding up the process . Furthermore, fast synthesis methods have been developed for planar leaky-wave antenna arrays, considering the element pattern and mutual coupling during the optimization process .

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The paper discusses the construction of a "wavelet" basis for beam synthesis in satellite antennas, but does not provide information on the current development status of satellite beam pattern synthesis.
The provided paper discusses a genetic algorithm-based synthesis technique for satellite-borne multi-beam planar arrays with arbitrary geometry. It does not provide information about the current development status of satellite beam pattern synthesis.
The paper presents fast synthesis methods for planar leaky-wave antenna arrays for space applications, including the synthesis of element patterns and the design of thinned phased arrays. However, it does not specifically mention the current development status of satellite beam pattern synthesis.
The paper describes a new method for multibeam antenna synthesis, but it does not provide information about the current development status of satellite beam pattern synthesis.
The paper discusses an efficient approach for satellite beam pattern synthesis using time-modulated planar arrays, but it does not provide information on the current development status of satellite beam pattern synthesis.

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