eta sqrt(mu0_const/epsilon0_const) Characteristic impedance, free space sigma_wall 5.7e7[S/m] Conductivity, cavity wall d_f 1 discretization factor a_r 0.9[in] Width and depth of rectangular cavity b_r 0.4[in] Height of rectangular cavity h_max_r a_r Maximum element size for rectangular cavity f_TE101_analytic_r sqrt(2)/(2*a_r*sqrt(mu0_const*epsilon0_const)) Resonant frequency, analytic TE101 for rectangular cavity Q_TE101_analytic_r 1.1107*(eta/sqrt(2*pi*f_TE101_analytic_r*mu0_const/(2*sigma_wall)))*(1/(1+((a_r/2)/b_r))) Q-factor, analytic, mode dependent for rectangular cavity a_c 0.48[in] Radius of cylindrical cavity height_c 0.4[in] Height of cylindrical cavity h_max_c 2*a_c Maximum element size for cylindrical cavity f_TM010_analytic_c (1/(2*pi*sqrt(mu0_const*epsilon0_const)))*(2.4049/a_c) Resonant frequency, analytic TM010 for cylindrical cavity Q_TM010_analytic_c 1.2025*(eta/sqrt(2*pi*f_TM010_analytic_c*mu0_const/(2*sigma_wall)))*(1/(1+(a_c/height_c))) Q-factor, analytic, mode dependent for cylindrical cavity a_s 1.35[cm] Radius of spherical cavity h_max_s 2*a_s Maximum element size for spherical cavity f_TM011_analytic_s 2.744/(2*pi*a_s*sqrt(epsilon0_const*mu0_const)) Resonant frequency, analytic TM011 for spherical cavity Q_TM011_analytic_s 1.004*eta/sqrt(2*pi*f_TM011_analytic_s*mu0_const/(2*sigma_wall)) Q-factor, analytic, mode dependent for spherical cavity