To mode of the most nearness to ideal magnetic orientation for dense electron beams

Key Points

• This research aims to formulate asymptotics for potential and magnetic field in dense electron beams.
• Developed geometrized theory for dense electron beams
• Formulated asymptotics for potential at beam axis
• Analyzed magnetic field orientation in ρ- and T-mode emissions
• Identified conditions for ideal magnetic orientation
• Presented asymptotic behaviors for potential and magnetic field
• Demonstrated improved magnetic field alignment in beam emissions