Probing and modeling of carrier motions in materials as well as in electronic devices is a fundamental research subject in science and electronics. According to the Maxwell electromagnetic field theory, carriers are a source of electric field. Therefore, by probing dielectric polarization caused by the electric field arising from moving carriers and dipoles, we can find a way to visualize the carrier motions in materials and in devices. The techniques used here are an electrical Maxwell-displacement current (MDC) measurement and a novel optical method based on electric field induced optical second harmonic generation (EFISHG) measurement. The MDC measurement probes changes of induced charge on electrodes, while the EFISHG probes nonlinear polarization induced in organic active layers due to coupling of electron clouds of molecules and electromagnetic waves of incident laser beam in the presence of dc field caused from electrons and holes. Both measurements allow us to probe dynamical carrier motions in solids through detection of dielectric polarization phenomena originated from dipolar motions and electron transport. In this Topical review, on the basis of the Maxwell's electro-magnetism theory in 1873, which stems from the Faraday's idea, the concept for probing electron and hole transport in solids by using the EFISHG is discussed in comparison with the conventional time of flight (TOF) measurement. We then visualize carrier transit in organic devices, i.e., organic field effect transistors, organic light emitting diodes, organic solar cells, and others. We also show that visualizing EFISHG microscopic image is a novel way for characterizing the anisotropic carrier transport in organic thin films. We also discuss the concept of the detection of rotational dipolar motions in monolayers by means of the MDC measurement, which is capable of probing the change of dielectric spontaneous polarization formed by dipoles in organic monolayers. Finally we conclude that ideas and experiments on EFISHG and MDC lead to a novel way for analyzing dynamical motions of electrons, holes, and dipoles in solids, thus these are available in organic electronic device application. to Eq. (1), we obtain the following equation: