Superoscillation (SO) offers a theoretical pathway to unlimited far-field superresolution, yet the associated physical costs lack a unified quantitative scaling description. In this work, we investigate the fundamental limits of deep SO by establishing a scaling law that links the field dynamic range (FDR) and the weight dynamic range (WDR) and validate it through numerical synthesis of one-dimensional SO fields. We observe a strong, near-linear correlation between FDR and WDR in the log-log domain, described by ${\xi }_{\text{(dB)}}=0.104{\eta }_{\text{(dB)}}+6.863$. This relation reveals that extreme resolution is governed by two coupled constraints: a $0.0018\lambda$ focus requires not only a 1661-dB FDR, corresponding to a detection bottleneck, but also a 177-dB WDR, which imposes a comparably stringent requirement on field synthesis and fabrication.

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• Imaging & optical processing