Notes. Here, n_ISM is the ambient number density, γ_MPD the Lorentz factor associated with the pulsar MPD, γ_esc the Lorentz factor of the particles producing the instability, ΔB the amplified magnetic field in the filament, ϵ the fraction of the pulsar power carried by the escaping particles, and R/d₀ the radius of the filament base, in terms of the bow shock standoff distance, d₀. For J2030+4415 it is only possible to define a range for the amplified field, since there are indications that the filament formed only t_event ∼ 32 yrs ago and its present w_f might not be determined by synchrotron losses. A lower limit comes from asserting that X-ray emission must be produced by particles with γ ≤ γ_MPD, while an upper limit is derived from the condition t_event < τ_sync (see main text). From the maximum magnetic field, through Eq. (8) one also determines an upper limit of γ_esc, which depends on L_f, since the feature might not be in its final form.