Laboratory Investigations of Bidirectional Reflectance using the Photomultiplier Tube

The precise measurement of the intensity of a light source is fundamental data to observational sciences, such as spacecraft imaging and atomic particle detection. Photomultiplier tubes (PMT) have played an integral role in many diverse areas such as spacecraft remote sensing by indicating the physical properties of regolith on a planetary surface and particulate matter in an atmosphere. PMTs are essential in neutrino observatories by detecting Cherenkov radiation, the photons emitted when a neutrino interacts with a dielectric medium at highly relativistic velocities. The PMT utilizes the core principle of Albert Einstein's photoelectric effect, with the aid of secondary emission to multiply the electrons emitted from a primary photon. Traditionally, PMTs are used to measure the intensity of photons reflected from a surface. We designed a photometer such that we could measure the photoelectron current from two Hamamatsu R928 photomultiplier tubes, as amplified by Keithly 610 electrometers. The results provide insight into the behavior of photoelectrons, how temperature affects PMT output current, and the amplification electronics that form a basis for remote sensing measurements. We performed photometry with a maximum error of 1% by measuring the intensity of a coherent light source. The calibration procedure involved incrementing and decrementing the high voltage in steps of 50V on a high voltage power supply to locate the linear range within the Gaussian curve of light intensity as a function of high voltage to maximize the signal to noise. We have measured how the signal to noise ratio changes when transmittance was reduced and compared the performance of the PMTs. We measured the intensity as a function of polarization angle. We then measured the response change of the PMT as the reflectance of the incident surface changed. The data was reduced and analyzed using MATLAB. We corrected aliasing and fit the mathematical function of the photoelectron current in relation to high voltage and polarization. Our results have established the linear range of a photomultiplier tube. We have also shown how the signal to noise ratio increases as light intensity decreases. With these results, we can constrain the limits in which the PMT is a valuable tool for experimentation in the fields of physics and astronomy.