An accumulating body of evidence indicates that living organisms exposed to specific windows of doses/dose rates of both ionizing and non-ionizing radiation demonstrate J-shaped dose response curves. Evaluation of these dose-response curves is of great importance in radiation biology as well as radiation protection. Studies conducted by my colleagues and I show that the general patterns of induction of phenomena such as adaptive response are similar for ionizing and non-ionizing radiations. Given this consideration, we have previously reported that the so called “dose window theory” that is well discussed for adaptive responses induced by ionizing radiation, is valid for non-ionizing radiation. Recently, after reviewing the current literature, we provided data indicating that in a similar pattern with ionizing radiation, the carcinogenesis of non-ionizing radiofrequency electromagnetic fields (RF-EMF) may have a nonlinear dose-response relationship. In particular, we introduced data that support the validity of a J-shaped dose-response relationship. Considering the pattern of J-shaped dose response models, ignoring the key issue of the exposure level (low levels vs. high-level exposures) can be introduced as a main root of current controversial reports regarding the carcinogenesis of RF-EMF. In this light, some studies show an association between mobile phone use and brain tumors, especially in people who used their mobile phones for long durations (e.g. ≥10 years). In summary, better understanding of the J-shaped dose response models for both ionizing and non-ionizing radiations can shed some light on the dark corners of current controversies about the adverse health effects of low-level exposures.