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A high-intensity cyclotron dedicated to the production of the radiopharmaceutical Astatine-211 (At-211) has been designed. This cyclotron employs an external injection system to introduce alpha particles, utilizing a four straight-sector magnet design and a dual radio-frequency (RF) cavity configuration to accelerate the alpha particles to an energy of 30 MeV. The beam is then extracted from the cyclotron via an electrostatic deflector (ESD). This paper presents an overview of its primary parameters. It subsequently provides a detailed physical design description of two core systems: the magnet and the RF systems. Furthermore, extensive beam dynamics simulations are performed. The particle trajectory is tracked from the exit of the spiral inflector through the entire acceleration process to the final extraction, with evaluation of the extraction efficiency and transverse beam profile, confirming the design's capability to deliver a high-indensity beam suitable for medical isotope production.