A nonlinear optical process where two photons combine to produce one photon with twice the frequency.Frequency doubling, also known as second harmonic generation, is a nonlinear optical process in which two photons of the same frequency interact with a nonlinear material and combine to produce a single photon with twice the frequency (and therefore half the wavelength). This process is a cornerstone of nonlinear optics and is used to generate coherent light at wavelengths that are otherwise difficult to produce with lasers directly, such as ultraviolet or green light from infrared lasers.
Frequency doubling was first demonstrated in 1961 by Peter Franken and his colleagues at the University of Michigan, shortly after the invention of the laser. They focused a ruby laser beam into a quartz crystal and observed the generation of ultraviolet light at twice the frequency.
In a nonlinear crystal, the response of the material's polarization to an electric field is not strictly linear. When an intense laser beam passes through such a crystal, the electric field is strong enough to induce a nonlinear polarization that oscillates at twice the frequency of the incident light. This oscillating polarization radiates a new electromagnetic wave at the doubled frequency. For efficient conversion, the phase velocities of the fundamental and second harmonic waves must be matched, a condition achieved by angle tuning or temperature control of the crystal (phase matching).
Frequency doubling is widely used in green laser pointers (converting infrared diode laser light to green), in scientific research to produce tunable ultraviolet light for spectroscopy, and in medical and industrial applications where specific wavelengths are required.
The first demonstration of frequency doubling was so unexpected that the editor of the journal Physical Review Letters removed the faint spot of the ultraviolet light from the published photograph, thinking it was a blemish.
















