38-EFT.WP.EDX.EMI v1.0 | Chapter 2 — Terms & Symbols (EDX.EMI Specialization)

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Chapter 2 — Terms & Symbols (EDX.EMI Specialization)

I. Sources & Applicability

1. This chapter fixes the terminology and symbol dialect for EDX.EMI, covering port–path–field coordination in Emission and Immunity, positive-real radiation correction, and S↔Z/mixed-mode mapping.
2. Section headings use Roman numerals in bold; bullet items use “- space”; numbered lists use “1. space”.
3. All symbols/formulae are in English and wrapped in backticks; any expression with division/integrals/composed operators must be parenthesized and explicitly declare the path gamma(ell) and measure d ell.
4. Shared time-of-arrival 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 )
5. SI units; key equalities must pass check_dim = pass; hard gates: passivity (Re{Z_eft} ≥ 0), KK_consistency = pass, and two-dialect T_arr agreement.

II. Master Glossary (anchor at first occurrence)

• ΔZ_rad(omega): positive-real radiation/leakage correction (Ω), constraint Re{ΔZ_rad} ≥ 0.
• E_rad(omega,r), H_rad(omega,r): radiated E/H fields (V·m⁻¹ / A·m⁻¹), near/far-field envelopes.
• I_CM(omega): common-mode current (A).
• sigma_seam: seam/aperture effective conductance (S).
• Z_eft(omega): tension-landscape port impedance (Ω), Z_eft = Z_ref + ΔZ_T [+ ΔZ_rad].
• Z_c(omega): line/modal characteristic impedance (Ω).
• S(omega): multiport S-parameters (complex matrix).
• Znorm(omega): port normalization impedance (Ω), may be frequency dependent.
• T_mm, Z0_mm: mixed-mode transform and normalization impedances (DM/CM domain).
• gamma(ell) / d ell: propagation path & measure (m).
• w_{p,m}(omega): path/mode weights (0…1, Σ_{p,m} w_{p,m} ≤ 1).
• ΔW: weight-drift metric, ΔW = Σ_{p,m}|w_{p,m}(ω₂)-w_{p,m}(ω₁)|.
• T_group(omega) = d/domega( arg Z_eft(omega) ): group delay (s).
• E_phase(Ω), GDR(Ω): in-window phase linearity error (rad) and group-delay ripple (s).
• detector ∈ {pk, qpk, avg}: EMI receiver detector type.
• Δt_sync: timebase misalignment (s), time-equivalent phase correction.

III. Symbols & Units (minimal set)

IV. Detectors & Measurement Dialect (EMI-specific)

• Detectors: detector ∈ {pk, qpk, avg}; IF bandwidth and time constants must be recorded in the dataset card; plots must label detector type.
• Antennas & LISN: provide antenna-factor/probe-factor and LISN/injection-network parameters with versioned sources; keep near/far-field distances and coordinate frames consistent.
• Unified readouts: dBuV/m, dBA/m, etc., are for field-compliance reports; conversions to/from port quantities must list paths/formulas; do not mix with rad or linear amplitudes in a single equation.

V. Forbidden Aliases & Conflicts (mandatory)

• T_fil (tension) ≠ T_trans (transmittance) — must not be conflated.
• n (number density) ≠ n_eff (effective refractive index) — must be distinguished.
• Bare c is forbidden; use c_ref.
• Ambiguous sigma: use sigma_cond for conductivity, sigma_std for standard deviation.
• Frequency variable is uniformly omega; f only in prose, never in equations.
• Do not mix rad and dB in the same equation.

VI. Notation Style & Expression Rules (mandatory)

• Inline + parentheses: wrap all symbols/formulae; any division/convolution/composed operator must be parenthesized, e.g., Z(omega) = ( V(omega) / I(omega) ).
• Path/measure: any propagation or delay must declare gamma(ell) and d ell; choose one arrival dialect and record delta_form.
• S↔Z/mixed-mode: unify Znorm(omega) and T_mm/Z0_mm first; normalize in mixed-mode, then project back; post-mapping pass passivity/K–K.
• Dimensions & causality: key equalities must pass check_dim = pass; Z_eft/ΔZ_rad must pass K–K.
• Power equivalence: under port equivalence use
  P_rad(omega) ≈ (1/2) · Re{ΔZ_rad(omega)} · |I_port(omega)|^2.

VII. Two-Dialect Consistency Gate (hard gate)

• For the same gamma(ell) and n_eff, the two T_arr calculations must satisfy |T_arr^{(1)} − T_arr^{(2)}| ≤ u(T_arr); otherwise no release.
• Any Z_eft curve must satisfy min Re{Z_eft} ≥ 0 and KK_consistency = pass.

VIII. Record Fields (aligned with dataset cards)

• Required: S(omega), Znorm(omega), (if used) T_mm/Z0_mm, Z_eft/argZ, Z_c(omega), arrival{form,gamma,measure,c_ref,Tarr,u_Tarr,delta_form}, ΔZ_rad(omega) with Re_Zrad_min, near/far-field summaries E_rad/H_rad, I_CM(omega), sigma_seam, w_{p,m}(omega)/ΔW, qa_gates{check_dim,passivity,KK}.
• Phase correction: arg Z_corr(omega) = arg Z_raw(omega) − ( omega · Δt_sync ).
• Example snippet:
• emi_record:
• normalization: {Znorm_ohm:[50.0,50.0], mixed_mode:{enabled:true, T_mm:"/cfg/T_mm.yaml", Z0_mm_ohm:[100,25]}}
• 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
• delta_form: "n_over_c"
• impedance:
• Z_eft: {real:[...], imag:[...]}
• deltaZ_rad: {Re_ohm:[...], Im_ohm:[...]} # Re ≥ 0
• fields: {E_rad_peak_dBuV_m:[...], H_rad_peak_dBA_m:[...], I_CM_A:[...]}
• weights: {w_main:[...], w_side:[...], ΔW: 0.19}
• qa_gates: {check_dim:"pass", passivity:"pass", KK:"pass"}

IX. Non-Compliant Examples (prohibited)

• Bare c, T, or n — use c_ref, T_fil/T_trans, n_eff.
• Delay without path/measure, e.g., T_arr = ∫ n_eff (×).
• Mixing rad and dB in the same equation (×).
• Z_eft/ΔZ_rad curves failing passivity or K–K (×).
• S↔Z mapping without port normalization or misaligned Z_c(omega) (×).

X. Execution Notes

• At first occurrence, each term/symbol must include a type note (scalar/vector/tensor; real/complex), unit, and the measurable component (magnitude/phase/real part).
• Any cross-volume citation must use the fixed format “work name + version + anchor (P/S/M/I)”, preferably to article-level anchors.
• The dialect in this chapter becomes normative for Chapters 3–16 and the appendices in EMI scenarios.