Abstract
The achievement of wideband high-gain optical parametric amplification has not been shown in micrometer-scale cavities. In this paper we have computationally investigated the optical parametric amplification process in a few micrometer-long dispersive microresonator. By performing a gain medium resonance frequency dependent analysis of optical parametric amplification, we have found that it is possible to achieve a wideband high-gain optical amplification in a dispersive microresonator. In order to account for the effects of dispersion (modeled by the polarization damping coefficient) and the resonance frequency of the gain medium on optical parametric amplification, we have solved the wave equation in parallel with the nonlinear equation of electron cloud motion, using the finite difference time domain method. Then we have determined the resonance frequency values that yield an enhanced or a resonant case of optical parametric amplification, via gain factor optimization. It was observed that if the microresonator is more dispersive (has a lower polarization damping coefficient), then there are more resonance frequencies that yield an optical gain resonance. At these gain resonances, a very wideband, high-gain optical amplification seems possible in the micron scale, which, to our knowledge, has not been previously reported in the context of nonlinear wave mixing theory.
Highlights
Parametric amplification has been studied extensively in the context of nonlinear optics
If it can be achieved in the micrometer scale, super gain optical parametric amplification can lead to much more efficient macroscale high power devices by being engineered to operate in an array form to maximize optical interference, such as laser beam welding machines and petawatt lasers that are used for particle
Recent studies on achieving high-gain optical parametric amplification in microresonators have focused on materials that display a strong nonlinearity under high intensity excitation
Summary
Parametric amplification has been studied extensively in the context of nonlinear optics. Photonics 2020, 7, 5; doi:10.3390/photonics7010005 www.mdpi.com/journal/photonics to amplify a low power input wave by mixing it with an intense pump wave of ultrashort duration, in a wide range of frequencies and with a very large gain coefficient, inside a low-loss microcavity of several micrometers of length This can be achieved by using a gain medium whose resonance frequency matches with one of the gain resonances of the amplification in a microcavity. Nonlinearity arises when at least one of the waves that propagate in a to medium hasfollowing a very high variation of the electric field in a nonlinear dispersive medium, we need solve the two intensity Such high intensities are only possible with very short duration pulses, such as the pulses of equations [1] (see Figure 1):. We use an update equation based on Newton’s method
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