Nomenclature

• \(a\) : Radius of the loop [m]
• \(A\) : Cross section area of the loop [m]
• \(A_F\): Cross section area of ferrite core [m ²]
• \(A_w\): Cross section area of winding [m ²]
• \(c = 3 \cdot 10^8\) : Speed of light [m/s]
• \(C\) : Circumference of the loop [m]
• \(D\): Diameter of the loop antenna [m]
• \(D_F\): Demagnetization factor of ferrite core
• \(D_w\): Demagnetization factor of winding
• \(f\): Frequency [Hz]
• \(l_F\): Length of ferrite core [m]
• \(L_i\): Self-inductance of the \(i\) th coil [H]
• \(l_w\): Length of winding [m]
• \(M_{ij}\): Mutual inductance between the \(i\) th coils
• \(N\) : Number of turns of the loop
• \(R_i\): Internal resistance of the \(i\) th coil [Ω]
• \(R_{rad}^{air}\): Radiation resistance of N-turn, air-cored loop [Ω]
• \(R_{rad}^{mc}\): Radiation resistance of N-turn, magnetic-cored loop [Ω]
• \(v\): Velocity of the EM wave [m/s]
• \(V_c\): Fractional volume of the iron [m:sup:3]
• \(\kappa_{ij}\): Coupling coefficient between the \(i\) th coils
• \(\lambda\): Wavelength (\(\lambda=v/f\)) [m]
• \(\mu\): Magnetic permeability
• \(\mu_0\): Magnetic permeability of air [\(\approx 4\pi\times 10^{-7}\) H/m]
• \(\mu_{cer}\) : Relative effective magnetic permeability of the core
• \(\mu_e\): Effective magnetic permeability of the core
• \(\mu_e'\): Real part of effective magnetic permeability of the core
• \(\mu_e''\): Imaginary part of effective magnetic permeability of the core
• \(\mu_r\): Relative magnetic permeability of air
• \(\sigma\): Conductivity [S/m]

Derivations from other quantities

• H = kg.m².s^-2.A^-2
• Wb = V.s = kg.m².s^-2.A
• S = 1/Ω

Abbreviations

• EM: ElectroMagnetic
• FEM: Finite Element Method
• MPW: Magnetoplated Wire
• MSW: Magnetically Shielded Wire
• RLC: Resistance, Inductance, Capacitance
• Rx: Receiver
• SRF: Self-Resonance Frequency
• WPT: Wireless Power Transfer