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We present a generalized elliptical cylindrical flux rope model for interplanetary coronal mass ejections (ICMEs) that allows for a non zero poloidal component in the internal magnetic field. We introduce a two step reconstruction algorithm that decouples the geometric configuration from the magnetic field fitting in order to improve numerical stability and physical consistency. Applied to Parker Solar Probe data, the new radial poloidal model preserves the global flux rope geometry while achieving a substantially better fit to the internal magnetic field than the traditional radial model, offering a more accurate and realistic description of ICME structures.

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