Light transport through complex media is a fundamentally important physical problem and also has implications in various applications. Recently, the active control of light transport through complex media by shaping an impinging wavefront has been demonstrated, and gained significant interest [1][2][3][4].Such phenomena, governed by the interference of multiply scattered waves, can be well formulated with a scattering matrix (SM). A SM describes a linear relationship between input and output complex fields. A SM consists of two transmission matrices (TM) and two reflection matrices (RM), and considers illuminations from both sides. Because a SM contains the full optical information about light transport through a turbid medium, it has been exploited in various studies, including image reconstruction through a scattering layer [5] One of the most important questions in light transport though turbid media concerns energy transport. Theoretically, the existence of perfect transmission channels, also known as open channels, have been predicted even in highly scattering media, by the random matrix theory [19,20] and particularly the DMPK equation [21,22]. The transmission eigenvalues of ideal TMs or RMs, manifesting energy transmittance, follow a bimodal distribution when wave propagation is in the diffusive regime, which indicates the existence of perfect transmission channels regardless of sample thicknesses.Unfortunately, attempts to enhance energy delivery through turbid media via open channels have not been fully explored in experimental conditions. Recently, several works have demonstrated enhancements of energy delivery [23,24]. However, the demonstrated enhancements were far below the theoretically expected ones, mainly due to the limited number of optical modes for measurements and controls. More recently, it was shown that the limited numerical apertures (NAs) of lenses in optical systems prevent them from accessing information about open channels, and thus enhanced energy delivery through turbid media will be significantly limited [25,26]. Although the accessible information in experimental conditions has been well described, uncollected information which is beyond the capability of a measurement system, and its effect on energy transmission, have never been previously considered.Recently, several methods have been developed to enhance energy delivery via reflection measurements [27,28]. However, transmission was restricted to only about 3-fold enhancements in these studies. In addition, the ultimate limit of the enhancement was not clarified, particularly in relation to practical experimental conditions. Importantly, controlling energy transmission by monitoring reflected fields also has potential for biomedical applications because it does not require an invasive scheme.In this letter, we investigate energy leaky modes which originate from partial measurements of a SM, using numerical simulations. When a TM or RM of a medium is completely measured, incident energy can be fully delivered to the output si...