Green's Function for Pedagogical Development III: Laboratory Visualization

An apparatus to display the distribution of electric potential in a conductive medium has been implemented to provide a physical portrayal of an elementary Green's function for the Poisson's equation in one dimensional space. Based on field plotting by current analogy, the voltage distribution on a resistive wire represents a scaled replica of the value of the Green's function in space. The components for implementing the apparatus can be found in a typical electronics laboratory and from a general hardware supplier. The laboratory demonstration provides for a visualization of the Green's function as the response of a physical system to impulsive excitation. Knowledge of ordinary differential equation and Fourier analysis is adequate to comprehend the analysis and its relation to the experimental illustration with the apparatus.