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Atmospheric muon imaging has low efficiency due to low flux (~70 m⁻²·s⁻¹·sr⁻¹ at 0° zenith), requiring long acquisition. This paper proposes two magnetic focusing systems to enhance muon flux and reduce collection time: a three-section superconducting solenoid and a triplet quadrupole lens (short- and long-range focusing). The solenoid has inlet (1m/0.5m/5.5T), middle (0.75m/1m/3.5T), outlet (0.5m/0.5m/5.5T). At 0.5m from outlet, flux magnification is 2.17 for 0.6–1.2 GeV/c muons. The quadrupole lens gives magnifications of 2.10 (1m short-range) and 2.91 (20m long-range) for 1.4–3.0 GeV/c muons. Data based on sea-level muon flux. These enhancements cut collection time nearly in half. The long-range quadrupole is especially suitable for localized imaging in large facilities. A dynamically adjustable, noninvasive, economical locally enhanced imaging system is also proposed. This work establishes focusing methods for atmospheric muons, improving efficiency in archaeology, volcanology, and nuclear security.
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