Abstract
ABSTRACT The objective of the research was to control the electric field of multiple optical waves to synthesize sub-single cycle or arbitrary electric waveforms. In our experiment, harmonics up to the fifth order harmonic are generated in csacade by a narrow-band Nd:YAG laser. Based on principles of the Fourier synthesis, arbitrary light waveforms can be synthesized by multiple harmonics with particular relationship of phase and amplitude. We used a method which is similar to 1f-2f interferometry to measure the relative phase of each harmonic. We successfully measure the relative phase of the fundamental with respect to the second or third or fourth or fifth harmonic and control the phase of the each harmonic to synthesize the desire waveform. The phase stability can reach to ± 0.0407π in sixty seconds. Waveforms of electric field are synthesized and measured by the technique of linear cross-correlation. We have synthesized and measure the Fourier-synthesized square and sawtooth waveforms. The experimental results are in good agreements with the theoretical results.