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Optical and Quantum Sensing and Precision Metrology II

Transformation and amplification of light modulated by a traveling wave with a relatively low frequency

Misha Sumetsky

Published Mar 19, 2025• 0 citations
Publisher
DOI
10.1117/12.3054228

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Transformation and amplification of light modulated by a traveling wave with a relatively low frequency

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The behavior of electromagnetic waves in a medium modulated in time and space, largely investigated decades ago, has recently attracted renewed interest. Here, we address an intriguing problem of this research: can light with an initial frequency ω 0 be amplified solely pumped by a traveling wave with a much lower frequency ω p ≪ ω 0 ? Generally, the bandwidth of the modulation-induced optical frequency comb spectrum can be substantially broadened when the phase velocity of the traveling wave, v p , approaches the phase velocity of light, v 0 . However, in realistic photonic waveguides, the amplification effect remains small due to the unfeasible modulation and waveguide parameters required. In contrast, we demonstrate that modulating an optical resonator by a traveling wave having the frequency ω p and phase velocity v p much smaller than the frequency ω 0 and phase velocity v 0 of light can result in large light amplification accompanied by conversion to multiple comb lines within a relatively small frequency band.

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The behavior of electromagnetic waves in a medium modulated in time and space, largely investigated decades ago, has recently attracted renewed interest. Here, we address an intriguing problem of this research: can light with an initial frequency ω 0 be amplified solely pumped by a traveling wave with a much lower frequency ω p ≪ ω 0 ? Generally, the bandwidth of the modulation-induced optical frequency comb spectrum can be substantially broadened when the phase velocity of the traveling wave, v p , approaches the phase velocity of light, v 0 . However, in realistic photonic waveguides, the amplification effect remains small due to the unfeasible modulation and waveguide parameters required. In contrast, we demonstrate that modulating an optical resonator by a traveling wave having the frequency ω p and phase velocity v p much smaller than the frequency ω 0 and phase velocity v 0 of light can result in large light amplification accompanied by conversion to multiple comb lines within a relatively small frequency band.
Light propagating in an optical waveguide can gain or lose power through interaction with a travelling acoustic wave or radio-frequency modulation of permittivity. Here, we model this propagation by considering an optical wave interacting with a weak travelling-wave permittivity perturbation whose frequency is much smaller than the optical frequency and whose amplitude decays exponentially along the propagation direction. Four modulation cases are analyzed: instantaneous modulation, synchronous modulation, and the Stokes and anti-Stokes resonances. For these cases, simple expressions are obtained for the carrier and sideband transmission and reflection powers as well as for the total gain and loss powers. Although the achievable total gain remains small for realistic modulation and waveguide parameters, the anti-Stokes resonance is identified as the most promising condition for observing modulation-induced light amplification.