Lab 03 · Linear confinement concept

Mirror Concept Lab

An analytic magnetic-mirror calculation where every control changes a defined equation. This additional notebook provides field, orbit-scale and validity diagnostics. The original reactor hall remains available in the main Virtual Lab.

single-particle adiabatic modelparabolic fieldnot a coil solution

Return to the original Virtual Reactor Lab

Reduced model: trapping here means a collisionless particle satisfies the first-adiabatic-invariant mirror condition. It does not establish macroscopic confinement time or reactor feasibility. For deterministic full-orbit tracers and the conditional source-to-electricity ledger, open the Virtual Reactor Lab 3D.

Mirror diagnostics

Axial field and particle parallel energy

Pitch-angle acceptance

For an isotropic velocity distribution, the collisionless trapped fraction is √(1−1/Rm). This is a geometric phase-space fraction, not a residence-time prediction.

Scientific interpretation

Pass

Loss-cone relation, nonrelativistic magnetic-moment turning/bounce approximations, relativistic gyrofrequency/radius, plasma beta, electron-only Debye length, and volume are dimensionally explicit.

Qualification gate

The lab samples max ρ(z)|∇B|/B over the classically accessible in-device half-orbit. A result above 0.1 is flagged; passing only supports first-order adiabatic reasoning.

Not solved

Ambipolar potential, collisions, microinstabilities, MHD, end plugs, neutral beams, alpha slowing-down, ash, radiation, transport, coils, walls, and power balance.