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Journal of Physics D Applied Physics

Fourth-order three-process cascaded frequency conversion based on fractional stimulated Raman adiabatic passage

Zhaocong Liang, Xing Ping Sun, Mingjie Lin, Weixian Yu, Changshui Chen

Published Apr 10, 2025• 0 citations
Publisher

Abstract

Abstract In recent years, a series of adiabatic passage techniques for atomic systems have been introduced into the field of nonlinear optics. We propose a theoretical model of the fourth-order three-process cascaded frequency conversion technique based on fractional stimulated Raman adiabatic passage (FSTIRAP). Building upon the STIRAP technique, the FSTIRAP technique splits the original third pump laser into two separate pump lasers, each subjected to Gaussian modulation. This achieves the simultaneous output of the first idler laser and the second idler laser with tunable output ratios at the end of the crystal, while ensuring the complete conversion of the signal laser. Numerical simulation results demonstrate that the FSTIRAP technique enables highly efficient frequency conversion, with the total conversion efficiency showing robustness across a wide range of pump laser intensities, coupling delay parameters, and crystal temperatures. Additionally, the output ratio of the first idler laser to the second idler laser can be controlled by independently tuning the delay parameter or the crystal temperature.

DOI
10.1088/1361-6463/adc60a

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A comprehensive study of two simultaneous three wave mixing processes, a second harmonic generation followed by difference frequency generation, under nonlinear stimulated Raman adiabatic passage (STIRAP) is presented. An input pump is up-converted to its second harmonic, which then gets down-converted to a signal and idler pair with frequencies lying very close to the input pump in such a manner that complete conversion from the pump to the signal and idler takes place without exciting the second harmonic under counterintuitive adiabatic passage. This process involves nonlinear STIRAP with a nonlinear dark state similar to atomic population transfers, and we bring an analogy from atomic systems to our nonlinear dynamics to linearize the problem and analytically obtain the adiabaticity condition required for complete conversion. We also show that the nonlinear STIRAP mechanism results in a large bandwidth of about 380 nm with almost complete conversion of the pump to the signal and idler.
Abstract Based on the Lewis-Riesenfeld (LR) invariant based inverse engineering for Shortcuts to adiabaticity (STA), we propose a cascaded frequency conversion technique. The technique maintains the same initial and final states as stimulated Raman adiabatic passage (STIRAP) but does not follow an adiabatic evolution during the intermediate processes. The results of numerical simulations show that the technique transfers the eigenstates from the initial state to the final state by designing an adiabatic evolutionary path, which is free to choose the length of the crystal within the crystal laser-induced damage threshold (LIDT), thus realizing a rapid adiabatic cascaded frequency conversion process with robustness under certain temperature variations and signal-laser wavelength variations.
The high-efficiency three-process frequency conversion is analyzed. By analysis of coupling equations, the optical straddling stimulated Raman adiabatic passage (S-STIRAP) scheme is proposed. Numerical simulation shows that the input power of the first frequency is monotonically converted into the output power of the last frequency, with the intermediate frequencies kept extremely low along the interacting length. We expect that this frequency conversion scheme has application in the frequency conversion between highly disparate frequencies, e.g., mid-IR to visible.
A cascaded sum frequency generation (SFG) conversion scheme based on the stimulated Raman adiabatic passage (STIRAP) technique is proposed for generating an ultraviolet laser radiation at 228 nm. The conversion involves two simultaneous SFG processes, in which the signal laser radiation is converted to ultraviolet laser radiation through a negligible intermediate laser radiation. Dark state expressions and adiabatic conditions are given. Numerical simulations demonstrate the efficient conversion processes in a nonlinear LaBGeO 5 (LBGO) crystal, and the effects of the coupling modulation function, pump laser intensity, and temperature on the quantum conversion efficiency are investigated. Tunable output of ultraviolet laser radiation in the 210–250 nm range is achieved by varying the signal or pump laser radiation wavelength while maintaining other input parameters. The large amount of optical data obtained in this work will contribute to the generation of deep ultraviolet laser sources based on nonlinear cascaded frequency conversion.
In the field of nonlinear frequency conversion, the cascaded frequency conversion scheme is an effective means to obtain new wavelengths. In this paper, we demonstrate efficient frequency conversion through three cascaded three-wave mixing processes based on Stark-chirped rapid adiabatic passage, which are different from previous cascaded wavelength conversion processes based on stimulated Raman adiabatic passage. Further, by analyzing the relevant parameters in the three-process cascaded frequency conversion models we have established, we find that the new scheme increases the conversion range and has lower restrictions on the conversion conditions while maintaining extremely low intermediate frequency intensity. These advantages allow our work to be applied to the acquisition of a mid-infrared or visible laser.