Jet noise is the dominating component of aircraft noise, and causes severe environmental pollution and health threats. Yet lack of a fundamental understanding of how turbulent eddies generate noise radiation poses great challenges in designing accurate noise prediction methodologies and efficient noise reduction devices. This paper reviews the progresses and limitations of the studies on the turbulent noise source identification and noise source mechanisms in open literature. Judging by the cause-effect reasoning that the turbulent fluctuations generate acoustic perturbations, it seems promising to develop physically more accurate models and governing equations to separate the acoustic and turbulent fluctuations in future research. By explicitly formulating the former as the generalized function of the latter, the dynamic process how turbulent eddies generate noise radiations may be revealed.