Simple interferometric setup enabling sub-Fourier-scale ultra-short laser pulses

Abstract

In this work, we describe an interferometric method to generate ultra-short pulses below the Fourier limit. It is done by extending concepts first developed in the spatial domain to achieve sub-diffractive beams through the addition of a spatial chirp in one of the arms of a Michelson interferometer using a spherical mirror. To experimentally synthesize sub-Fourier pulses, we replace the spherical mirror with a water cell, since it produces chirp in the temporal domain. We also present an alternative procedure, based on asymmetrical interference between the widened pulse and the original pulse where the peaks of both pulses exhibit a temporal delay achieving the narrowing of ultra-short pulses with sub-Fourier scales. To characterize the performance of the system, we performed a preliminary assessment considering the percentage of FWHM shrinking obtained for each scheme. By means of a symmetrical configuration 7 and 12 \% pulse reductions were verified, both experimentally and analytically, while for the non-symmetrical configuration 10 and 24\% reductions were achieved corresponding to main lobe to side-lobes ratios of 10 and 30\% . The experimental setup scheme is simple, versatile and able to work with high-power laser sources and ultra-short pulses with a broad bandwidth at any central wavelength. The results presented in this work are promising and help to enlighten new routes and strategies in the design of coherent control systems. We envision that they will become broadly useful in different areas from strong field domain to quantum information.

Principal frequency, super-bandwidth, and low-order harmonics generated by super-oscillatory pulses

“…As a second example, we study the SO functions proposed to obtain subdiffractive Gaussian-beams and sub-Fourier ultra-short Gaussian-pulses, which, as shown in Refs. [36,37], can be obtained by means of simple interferometric techniques. In the time domain, these SO pulses are the result of the interference between an ultra-short Gaussian pulse, characterized by a central frequency ω C and a bandwidth ∆ω, and the same pulse modified by a quadratic phase or a Gaussian filter [36].…”