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Journal of the Optical Society of America B

Observability of optical precursors

Jaak Aaviksoo, J. Lippmaa, J. Kühl

Published Aug 1, 1988• 32 citations
Publisher

Abstract

The appearance of optical precursors in the transient response of linear dielectric media is elucidated by combining temporal and spectral analysis. Numerical calculations show that it is feasible to detect experimentally the precursors in the transient responses of excitonic resonances to picosecond excitation. A novel experiment is proposed in which precursors are spatially separated from the main part of the signal in a thin-prism sample. Some features of the transients in reflection are analyzed.

DOI
10.1364/josab.5.001631

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We investigate optical precursors transmitted through a double-Lorentz dielectric consisting of two adjacent narrow resonances. Compared to the patterns in a single-Lorentz dielectric, the transmitted envelope shows additional modulation that oscillates at the separation frequency between two resonances, corresponding to the doublet frequency separation. We use the weakly dispersive, narrow-resonance condition to analyze it, which compares favorably to our observations. This work will be meaningful to identify dielectric properties by analyzing multi-resonant media for application of optical communication. © 2019 Optical Society of America

APS Division of Atomic, Molecular and Optical Physics Meeting Abstracts•Jan 1, 2020•0 citations
The appearance of optical precursors in the transient response of linear dielectric media is elucidated by combining temporal and spectral analysis. Numerical calculations show that it is feasible to detect experimentally the precursors in the transient responses of excitonic resonances to picosecond excitation. A novel experiment is proposed in which precursors are spatially separated from the main part of the signal in a thin-prism sample. Some features of the transients in reflection are analyzed.
We experimentally examined the propagation of temporally square modulated optical pulses through a coupled ring resonator. Sharp transient spikes appeared as the square pulses entered the system. The main signal gradually grew up through coupled-resonator-induced transparency (CRIT), with the time constant determined by a second resonator. Transient spikes were attributed to the higher and lower spectral components of the incident pulse, to which the resonators cannot respond; hence, they were interpreted as optical precursors. The experiments, therefore, demonstrated that precursors and the main signal can be observed separately, with amplitudes comparable to that of the incident step in CRIT.
We study theoretically the propagation of a step-modulated optical field as it passes through a dispersive dielectric made up of a dilute collection of oscillators characterized by a single narrow-band resonance. The propagated field is given in terms of an integral of a Fourier type, which cannot be evaluated even for simple models of the dispersive dielectric. The fact that the oscillators have a low number density (dilute medium) and have a narrow-band resonance allows us to simplify the integrand. In this case, the integral can be evaluated exactly, although it is not possible using this method to separate out the transient part of the propagated field known as optical precursors. We also use an asymptotic method (saddle-point method) to evaluate the integral. The contributions to the integral related to the saddle points of the integrand give rise to the optical precursors. We obtain analytic expressions for the precursor fields and the domain over which the asymptotic method is valid. When combined to obtain the total transient field, we find that the agreement between the solutions obtained by the asymptotic and the exact methods is excellent. Our results demonstrate that precursors can persist for many nanoseconds and the chirp in the instantaneous frequency of the precursors can manifest itself in beats in the transmitted intensity. Our work strongly suggests that precursors have been observed in many previous experiments.
We investigate optical precursors transmitted through a double-Lorentz dielectric consisting of two adjacent narrow resonances. Compared to the patterns in a single-Lorentz dielectric, the transmitted envelope shows additional modulation that oscillates at the separation frequency between two resonances, corresponding to the doublet frequency separation. We use the weakly dispersive, narrow-resonance condition to analyze it, which compares favorably to our observations. This work will be meaningful to identify dielectric properties by analyzing multi-resonant media for application of optical communication. © 2019 Optical Society of America