The opening half-angle of a dipole-field magnetic window is arccos[(m_e 2πf (1+t_s/a)^3)/(e B_p)], with a collisional optical-depth cap that shrinks the aperture further.
Review of leading approaches for mitigating hypersonic vehicle communications black- out and a method of ceramic particulate injection via cathode spot arcs for blackout mitigation
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Dipole-Field Magnetic Windows for Radio-Frequency Transmission Through Hypersonic Plasma Sheaths: A Reduced-Order Scaling Model
The opening half-angle of a dipole-field magnetic window is arccos[(m_e 2πf (1+t_s/a)^3)/(e B_p)], with a collisional optical-depth cap that shrinks the aperture further.