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A physics-informed deep neural network for low sidelobe cosecant-squared pattern synthesis

Tarek Sallam, Qun Wang and Ahmed M. Attiya

Journal of Electromagnetic Waves and Applications, 2025, vol. 39, issue 16, 1985-1996

Abstract: In this paper, we present a novel scheme to train a deep neural network (DNN) for a cosecant-squared (csc2) radiation pattern synthesis speedily and accurately without relying on numerical optimization methods. Our approach is to train a DNN using a physics-informed loss function that minimizes the deviation between the desired shaped beam pattern and the actual one. The physics-informed deep neural network (PIDNN) makes array synthesis effective because it can efficiently achieve two desired features, namely, low sidelobe level (SLL) and small deviation (ripples) in the shaped beam region. To obtain a desired csc2 pattern with the SLL constrained, PIDNN optimizes the excitation amplitude and phase weights of the array elements. To illustrate the effectiveness of the proposed method, the beam pattern with specified characteristics is obtained for the same array by using genetic algorithm (GA) and particle swarm optimization (PSO).

Date: 2025
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DOI: 10.1080/09205071.2025.2532813

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