We use spin-resolved electron tunneling to study the exchange field in the Al component of EuS/Al bilayers, in both the superconducting and normal-state phases of the Al. Contrary to expectation, we show that the exchange field, Hex, is a non-linear function of applied field, even in applied fields that are well beyond the EuS coercive field. Furthermore the magnitude Hex is unaffected by the superconducting phase. In addition, Hex decreases significantly with increasing temperature in the temperature range of 0.1 -1 K. We discuss these results in the context of recent theories of generalized spin-dependent boundary conditions at a superconductor/ferromagnet interface. PACS numbers: 74.50.+r, 74.45.+c, 75.70.Ak, Owing to their different symmetries, itinerant ferromagnetic (FM) order and spin-singlet superconducting (SC) order are generally mutually exclusive. With rare exception, nature does not allow ferromagnetic order to coexist with BCS superconductivity [1]. This immiscibility can, however, lead to interesting effects in the vicinity of a FM/SC interface, as electrons moving from one region to the other try to accommodate the differing order parameters. Over the last decade significant progress has been made in understanding the nature of the SC order parameter in the proximity of a FM/SC interface [2][3][4][5]. In fact, much of the research on FM/SC structures has focused on the evanescent SC condensate residing on the FM side of the interface in properly prepared bilayers [4,[7][8][9]. Remarkably, not only can SC Cooper pairs exist in the FM layer, but the exchange field in the FM induces a triplet component to the SC wavefunction [4]. This results in oscillations in the SC order parameter [5,7,8] that are reminiscent of the order parameter modulations predicted by Fulde and Ferrel [10], and Larkin and Ovchinnikov [11] for a BCS superconductor in a critical Zeeman field. In the present Letter, we present the results of a detailed study of the exchange field induced in the SC side of a FM/SC bilayer. We show this proximityinduced exchange field is not static, but has unexpected temperature and applied-field dependencies that are not attributable to the temperature and/or field dependence of the FM magnetization.Since we are primarily interested in the behavior of the exchange field induced in the SC layer, we have chosen an insulating material for the FM layer, EuS [12]. This greatly simplifies the interpretation of the data since electrons from the SC only enter the FM via evanescent wavefunctions. For the superconductor we chose Al since it has a very low spin-orbit scattering rate and its spin-paramagnetic phase diagram is well understood [13]. The FM/SC bilayers were fabricated by first depositing a 5 nm-thick EuS film via e-beam evaporation onto fire-polished glass at 84 K. Then a 2.4 nm thick Al film was deposited on top of the EuS film. The depositions were made at a rate of ∼ 1 nm/s and ∼ 0.1 nm/s, respectively, in a typical vacuum of < 3×10 −7 Torr. The samples were then exposed to air to form a n...