My research project is modeling Second Harmonic Generation. It is a process by which photons from a laser beam are mixed in a nonlinear medium and the output photon has double the energy and frequency and half the wavelength. I will model the conversion efficiency, and the different types of phase matching. Second Harmonic Generation relates to certain topics in our course such as chapter 9 of Griffiths on absorption and dispersion of EM waves and topics from chapter 11 on radiation. Applications of frequency mixing are found in the use of radio waves in extending the tunable range of shorter wavelengths.