本文針對LED光源以傅立葉級數及能量映射法設計多重同心圓光型透鏡改善傳統燈具無法實現誘魚光型之問題，其中多重同心圓的光型是將亮與暗的光環，由內而外依序排列而成，再將此明、暗相間的光型視為週期性函數並引用傅立葉級數來描述(modeling)其配光曲線，突破目前僅能在任意光型內設計均勻光強度的方法。能量映射法是分別將LED光源與多重同心圓光型的配光曲線，進行彼此角度間的能量配置，進而完成此光學透鏡之設計。由量測實驗驗證，透鏡的配光曲線與模擬值相較，其NCC值可達96%且光損耗率低於5%。在魚群誘集評估實驗方面，經24小時觀察poeciliareticulata的趨光行為發現，當魚群習慣環境中同一強度的光刺激後，便會逐漸的離開強光區，並在明、暗交界處逗留及徘徊。最後，本設計方法可實現於LED集魚燈並取代傳統高耗能的HID集魚燈。

Fourier series and an energy mapping method were used in this study to design a lens that produces a light pattern of multiple concentric circles (LPMCC) for a light-emitting diode (LED) fishing lamp. Fourier series were used to represent the light intensity distribution curve (LIDC) of the LPMCC light pattern. Energy mapping involves performing angular energy mapping based on the LIDCs of an LED light source and LPMCC to design a freeform lens. Type I and Type II LPMCC lenses were designed according to the phototaxis behavior of fish to create a LPMCC light pattern of interleaving light-dark zones that attracts fish shoals to stay in an area for a long period. The experimental results indicated that, in comparing the LIDCs of the Type I and II lenses with the respective simulation values, the normalized cross-correlation (NCC) value reached 96%. According to a 24-hour observation of the phototaxis of Poecilia reticulata to evaluate the effectiveness of the proposed light pattern to attract fish, when a fish shoal was habituated to a light source that emitted constant illumination light, it gradually moved away from the intense light zone and hovered around the junction of the light and dark zones. In the future, the design used in this study can be applied to LED fishing lamps to replace traditional fishing lamps.