36-EFT.WP.EDX.Current v1.0 | Chapter 13 — EMI/EMC & Tension-Landscape Engineering (with EDX.EMI)

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Chapter 13 — EMI/EMC & Tension-Landscape Engineering (with EDX.EMI)

I. Chapter Objectives & Structure

1. Objective: Cast emission and immunity as engineering problems over the tension landscape T_fil(x,t), path family gamma(ell), weights w_p(omega), and the positive-real radiation correction ΔZ_rad(omega). Provide testable design rules, metrology, and compliance-gate records, so high-speed interconnects, impedance mapping, and layout binding close consistently in the EMI/EMC regime.
2. Structure: Mechanism mapping → Immunity coupling channels → Landscape engineering & design rules → Compliance assessment & metrology → Falsifiability → Compliance templates → Correspondence & degeneracy → Cross-chapter pointers & summary.
3. Shared dialect (two equivalent forms; path/measure explicit; record delta_form):
   • Constant-factored: T_arr = ( 1 / c_ref ) * ( ∫ n_eff d ell )
   • General: T_arr = ( ∫ ( n_eff / c_ref ) d ell )

II. Variables & Units (new in this chapter)

• E_rad(omega, r), H_rad(omega, r): near/far-field probe fields (V·m⁻¹, A·m⁻¹).
• I_CM(omega), V_DM(omega): common-mode current, differential-mode voltage (A, V).
• ΔZ_rad(omega): positive-real equivalent impedance correction due to radiation/leakage (Ω), with Re{ΔZ_rad} ≥ 0.
• w_p(omega): path weights (dimensionless), Σ_p w_p ≤ 1.
• sigma_seam: effective conductance of shield seams/apertures (S) for shielding continuity.
• Others follow Chapters 2–12: n_eff(omega), T_fil, gamma(ell), Z_eft(omega).

III. Emission Mechanism as Tension-Landscape Leakage

Statement

• HF emission is modeled as landscape leakage caused by boundary discontinuities and weight lift on side paths:
  Z_eft(omega) = Z_ref(omega) + ΔZ_T(omega) + ΔZ_rad(omega) ,
  where ΔZ_rad is activated by seams/cable bundles/long stubs/reference-plane breaks; concurrently w_p(omega) shifts toward external γ_side, enlarging ΔT_arr.
• Field/common-mode envelopes (indicative):
  |E_rad| ∝ g_env(omega, r) · Σ_p w_p(omega) · |ΔZ_rad(omega)| ,
  |I_CM| ≈ h_cpl(omega) · Σ_p w_p(omega) ,
  with g_env, h_cpl set by fixture/environment coupling.

Domain & constraints

• Band inside or near the Chapter 12 coherence window; adding ΔZ_rad must preserve passivity and K–K; check_dim = pass.

Falsifiability

• If sealing seams/adding return paths (boundary-only changes) does not reduce Re{ΔZ_rad} along with |E_rad|/|I_CM| (within uncertainty), reject the ΔZ_rad/w_p model.

IV. Immunity Mechanism & Coupling Channels (Reverse Coupling)

Statement

1. Immunity coupling is modeled as external drive to T_fil and re-allocation of w_p:
   • Radiated coupling: external E_ext, H_ext raises weights on apertures/seams; ΔZ_rad increases.
   • Conducted coupling: common-mode injection alters γ_return, translating T_arr and arg Z.
   • Cable coupling: bundle inductance/capacitance creates γ_side(cable), increasing w_side.

Domain & constraints

1. Injection levels are environmental parameters; responses are observed via Z_eft, T_arr, I_CM, |E|/|H|.

Falsifiability

1. Under fixed injection, if shielding/return adjustments do not produce the predicted w_p changes (confirmed by Δarg Z, T_group, and near-field maps), reject the coupling-channel model or binding records.

V. Tension-Landscape Engineering & Design Rules (Shield–Ground–Path Co-Design)

1. Shield continuity (seams/apertures)

• Rule: minimize “seam equivalent conductance” by reducing sigma_seam and effective aperture length; grid the ground, enforce periodic seam pitch well below target wavelength; log seams into γ_side in the binding.
• Expectation: Re{ΔZ_rad} falls with reduced effective apertures; path-weight drift ΔW = Σ_p |w_p(ω₂) − w_p(ω₁)| tightens.

2. Return paths & stitching vias

• Rule: provide local closed returns at layer/plane transitions; stitch-via rings to limit loop area; suppress w_side(omega) and ΔT_arr.
• Expectation: both phase-linearity error E_phase and group-delay ripple GDR decline.

3. Guards, splits, and bends

• Rule: radius bends, length-match splits; close guard returns and stitch ends; avoid long unterminated stubs entering γ_side.
• Expectation: HF |E_rad| decreases; weights flow back to the main path.

4. Cables & connector transitions

• Rule: taper launch geometry and optimize ground fingers; route bundles with paired returns to suppress common impedance; when adding absorbers in the ΔZ_rad channel, keep Re{Z_eft} ≥ 0.

5. Materials & dispersion

• Rule: band-limit/smooth priors on n_eff(omega) and σ_eff(omega) to prevent non-physical wiggles that yield “false emission/immunity.”

VI. Compliance Assessment & Metrology (aligned with I30/M10/M20)

Assessment dialect

• Emission: near/far-field scans and common-mode current as primary observables, paired with Z_eft(omega), ΔZ_rad(omega), and path records.
• Immunity: functional thresholds/BER/phase–amplitude drift as primary criteria; verify path/arrival changes via Δarg Z and T_group.

Records & gates

• Mandatory: arrival{form,gamma,measure,c_ref,Tarr,u_Tarr}, delta_form, binding_ref, anchors, deemb, sync; gates: check_dim, passivity, K–K consistency.
• Numeric compliance thresholds are supplied by the compliance team at release; this chapter defines fields and decision logic only.

VII. Falsifiability Criteria (EMI/EMC Scenarios)

• J1 Shield-seam empirical: geometry-only seam/aperture changes must lower Re{ΔZ_rad} and |E_rad| concurrently; else reject ΔZ_rad modeling or shielding parameters.
• J2 Return-path switching: varying return paths/stitch density must produce linear Δarg Z(omega) shifts consistent with ΔT_arr (within the coherence window); else reject binding or w_p.
• J3 Cable-coupling criterion: altering bundle returns/fixture routing must shift I_CM and near-field hotspots consistently with γ_side(cable) weight changes; else reject the channel model.
• J4 Immunity-injection consistency: at fixed injection, phase/group-delay offsets must track predicted w_p changes; else reject the immunity model or injection records.

VIII. Compliance Templates (copy-ready)

• EMI/EMC record (report/data):

emi_emc:

mode: ["emission","immunity"]

band_GHz: [f_min, f_max]

scans:

near_field: {grid_mm: 2.0, E_map: "...", H_map: "..."}

far_field: {range_m: 3.0, E_peak_dB: "..."}

common_mode:

I_CM_A: [...]

radiation_correction:

Re_dZrad: [...]

KK_consistency: "pass"

binding_ref: "LAY2PATH-xxxx"

arrival:

form: "n_over_c" # or "one_over_c_times_n"

gamma: "explicit"

measure: "d_ell"

c_ref: 299792458.0

Tarr_s: 1.234e-09

u_Tarr_s: 6.0e-12

weights:

w_main: [...]

w_side: [...]

qa_gates: ["check_dim","passivity(Re{Z}≥0)","KK_consistency"]

• Design acceptance (pseudocode):

# Phase/coherence gates (Chapter 12)

E_phase = max_abs(phi - (omega*Tarr + phi0_opt))

GDR = max_abs(T_group - median(T_group))

# EMI drift & radiation gates

ΔW = sum_abs(w_p[w2] - w_p[w1])

pass_radiation = (min(Re_dZrad) >= 0.0)

decision = all([

E_phase <= E_phase_gate,

GDR <= GDR_gate,

ΔW <= ΔW_gate,

pass_radiation

])

IX. Correspondence & Degeneracy to the Classical Framework

X. Cross-Chapter Pointers & Summary

• Dependencies: Chapter 8 (paths & arrival), Chapter 12 (HF dispersion/radiation), S40-* (kernels & multi-path), S50-* (impedance mapping), I30-* (binding/alignment), M10-* / M20-* (metrology & falsification).
• Delivery: In the design code (Chapter XVI), include gates on E_phase, GDR, ΔW, Re{ΔZ_rad} ≥ 0, passivity, and K–K; any geometry change to shield/return/guards must update binding_ref and path records.
• Summary: EMI/EMC is embedded into a unified tension-landscape → paths → weights → impedance → positive-real radiation framework. The chapter provides rules for shielding continuity, return paths, guards, and transitions, plus metrology-aligned records and gates, so emission and immunity become predictable, tunable, and verifiable under the same data dialect.