Fig. 3cd: SHG intensity in the Ta(2nm)/Py(3nm)/Pt(2nm) sample as a function of QWP angle (THz pump beam ellipticity) measured in horizontal and vertical magnetisation geometry The pump beam’s ellipticity was adjusted using a THz quarter-wave plate (QWP) by varying its orientation angle from 0 deg. to 90 deg. Calculated Measured THz polarization angle / SHG intensity for Horizontal magetization / SHG intensity for Vertical magetization 0.5 3.42208E-14 3.83664E-10 0 8.96084E-13 3.63039E-10 1 1.36717E-13 3.82659E-10 15 2.27464E-11 2.33615E-10 1.5 3.06991E-13 3.80993E-10 30 4.97326E-11 3.48403E-11 2 5.44222E-13 3.78677E-10 40 5.51267E-11 9.42893E-12 2.5 8.4727E-13 3.75728E-10 45 5.63289E-11 4.09314E-11 3 1.2147E-12 3.72168E-10 50 5.40814E-11 8.85678E-11 3.5 1.64478E-12 3.68021E-10 60 4.94573E-11 2.2057E-10 4 2.13551E-12 3.63317E-10 75 1.42914E-11 3.71606E-10 4.5 2.68467E-12 3.58086E-10 90 1.74631E-12 4.05815E-10 5 3.28979E-12 3.52365E-10 5.5 3.9482E-12 3.46189E-10 6 4.6571E-12 3.39599E-10 6.5 5.4135E-12 3.32633E-10 7 6.21432E-12 3.25334E-10 7.5 7.05639E-12 3.17742E-10 8 7.93647E-12 3.09899E-10 8.5 8.8513E-12 3.01845E-10 9 9.79759E-12 2.93622E-10 9.5 1.07721E-11 2.85266E-10 10 1.17715E-11 2.76816E-10 10.5 1.27928E-11 2.68308E-10 11 1.38327E-11 2.59774E-10 11.5 1.48882E-11 2.51247E-10 12 1.59564E-11 2.42756E-10 12.5 1.70345E-11 2.34328E-10 13 1.81199E-11 2.25987E-10 13.5 1.92098E-11 2.17757E-10 14 2.03019E-11 2.09657E-10 14.5 2.13938E-11 2.01704E-10 15 2.24834E-11 1.93915E-10 15.5 2.35687E-11 1.86303E-10 16 2.46478E-11 1.7888E-10 16.5 2.57189E-11 1.71654E-10 17 2.67803E-11 1.64634E-10 17.5 2.78307E-11 1.57825E-10 18 2.88686E-11 1.51233E-10 18.5 2.98928E-11 1.44859E-10 19 3.09022E-11 1.38707E-10 19.5 3.18957E-11 1.32776E-10 20 3.28724E-11 1.27067E-10 20.5 3.38317E-11 1.21577E-10 21 3.47726E-11 1.16304E-10 21.5 3.56947E-11 1.11246E-10 22 3.65973E-11 1.064E-10 22.5 3.74801E-11 1.0176E-10 23 3.83426E-11 9.73227E-11 23.5 3.91845E-11 9.30831E-11 24 4.00055E-11 8.90359E-11 24.5 4.08055E-11 8.51757E-11 25 4.15842E-11 8.14969E-11 25.5 4.23416E-11 7.79939E-11 26 4.30776E-11 7.46607E-11 26.5 4.37922E-11 7.14917E-11 27 4.44853E-11 6.84809E-11 27.5 4.5157E-11 6.56226E-11 28 4.58074E-11 6.2911E-11 28.5 4.64365E-11 6.03406E-11 29 4.70445E-11 5.79057E-11 29.5 4.76314E-11 5.56009E-11 30 4.81974E-11 5.3421E-11 30.5 4.87426E-11 5.13608E-11 31 4.92673E-11 4.94154E-11 31.5 4.97714E-11 4.758E-11 32 5.02554E-11 4.58499E-11 32.5 5.07192E-11 4.42207E-11 33 5.11631E-11 4.26881E-11 33.5 5.15872E-11 4.12482E-11 34 5.19918E-11 3.98968E-11 34.5 5.2377E-11 3.86305E-11 35 5.2743E-11 3.74456E-11 35.5 5.30899E-11 3.63388E-11 36 5.3418E-11 3.53069E-11 36.5 5.37274E-11 3.43471E-11 37 5.40182E-11 3.34565E-11 37.5 5.42907E-11 3.26324E-11 38 5.45449E-11 3.18725E-11 38.5 5.4781E-11 3.11745E-11 39 5.49991E-11 3.05363E-11 39.5 5.51994E-11 2.9956E-11 40 5.53819E-11 2.94318E-11 40.5 5.55468E-11 2.8962E-11 41 5.56942E-11 2.85454E-11 41.5 5.58241E-11 2.81805E-11 42 5.59366E-11 2.78662E-11 42.5 5.60318E-11 2.76016E-11 43 5.61098E-11 2.73859E-11 43.5 5.61706E-11 2.72183E-11 44 5.62142E-11 2.70983E-11 44.5 5.62406E-11 2.70257E-11 45 5.625E-11 2.7E-11 45.5 5.62422E-11 2.70214E-11 46 5.62173E-11 2.70897E-11 46.5 5.61753E-11 2.72054E-11 47 5.61161E-11 2.73686E-11 47.5 5.60397E-11 2.75799E-11 48 5.5946E-11 2.784E-11 48.5 5.58351E-11 2.81497E-11 49 5.57067E-11 2.85099E-11 49.5 5.5561E-11 2.89218E-11 50 5.53977E-11 2.93866E-11 50.5 5.52168E-11 2.99058E-11 51 5.50181E-11 3.0481E-11 51.5 5.48016E-11 3.11138E-11 52 5.45672E-11 3.18063E-11 52.5 5.43147E-11 3.25604E-11 53 5.40439E-11 3.33785E-11 53.5 5.37547E-11 3.4263E-11 54 5.3447E-11 3.52164E-11 54.5 5.31207E-11 3.624155 9.24944E-12 6.19687E-11 58 9.09719E-12 6.14706E-11 58.5 8.94071E-12 6.09787E-11 59 8.78019E-12 6.0493E-11 59.5 8.61583E-12 6.00138E-11 60 8.44784E-12 5.95411E-11 60.5 8.27641E-12 5.90749E-11 61 8.10175E-12 5.86153E-11 61.5 7.92407E-12 5.81626E-11 62 7.7436E-12 5.77166E-11 62.5 7.56055E-12 5.72775E-11 63 7.37514E-12 5.68454E-11 63.5 7.18761E-12 5.64203E-11 64 6.99817E-12 5.60023E-11 64.5 6.80706E-12 5.55915E-11 65 6.61451E-12 5.51879E-11 65.5 6.42076E-12 5.47916E-11 66 6.22604E-12 5.44026E-11 66.5 6.03059E-12 5.40211E-11 67 5.83464E-12 5.3647E-11 67.5 5.63844E-12 5.32804E-11 68 5.44222E-12 5.29213E-11 68.5 5.24622E-12 5.25699E-11 69 5.05069E-12 5.22261E-11 69.5 4.85586E-12 5.18899E-11 70 4.66196E-12 5.15615E-11 70.5 4.46923E-12 5.12408E-11 71 4.27791E-12 5.09279E-11 71.5 4.08823E-12 5.06229E-11 72 3.90042E-12 5.03257E-11 72.5 3.71471E-12 5.00363E-11 73 3.53132E-12 4.97549E-11 73.5 3.35048E-12 4.94814E-11 74 3.17241E-12 4.92158E-11 74.5 2.99733E-12 4.89582E-11 75 2.82544E-12 4.87087E-11 75.5 2.65696E-12 4.84671E-11 76 2.49209E-12 4.82336E-11 76.5 2.33104E-12 4.80081E-11 77 2.174E-12 4.77907E-11 77.5 2.02115E-12 4.75814E-11 78 1.87269E-12 4.73801E-11 78.5 1.7288E-12 4.7187E-11 79 1.58965E-12 4.7002E-11 79.5 1.45542E-12 4.68251E-11 80 1.32625E-12 4.66564E-11 80.5 1.20232E-12 4.64958E-11 81 1.08378E-12 4.63433E-11 81.5 9.70756E-13 4.61991E-11 82 8.634E-13 4.6063E-11 82.5 7.6184E-13 4.5935E-11 83 6.66199E-13 4.58153E-11 83.5 5.76593E-13 4.57037E-11 84 4.93131E-13 4.56004E-11 84.5 4.15916E-13 4.55052E-11 85 3.45041E-13 4.54182E-11 85.5 2.80592E-13 4.53395E-11 86 2.22647E-13 4.52689E-11 86.5 1.71278E-13 4.52066E-11 87 1.26547E-13 4.51524E-11 87.5 8.85078E-14 4.51065E-11 88 5.72073E-14 4.50688E-11 88.5 3.26834E-14 4.50393E-11 89 1.4966E-14 4.5018E-11 89.5 4.07663E-15 4.50049E-11 90 2.85361E-17 4.5E-11