Advanced and delayed images
through an image resonator

Abstract

We performed optical image propagation experiments in an image resonator consisting of a Fabry-Perot resonator in reflection geometry. Two-dimensional images encoded on optical pulses of 32ns were stored, and either advanced, -6.0ns, or delayed, 10.9ns, using the dispersion relation relevant to the image resonator, in the under- or over- coupling condition, respectively. The overall images are propagated through the resonator clearly, while the diffraction effects were analyzed both in real-space and in k-space.

Fourier Analysis of Slow and Fast Image Propagation through Single and Coupled Image Resonators

“…The present Fourier analysis not only reproduces the reported experimental observations [15,16] but also predicts new aspects of the time evolution of image propagation through the cavity; the propagated image profiles are time dependent. To demonstrate the new aspect of the time evolution, we performed time-and space-resolved image propagation experiments.…”

“…Figures 3(c)-3(e) are the reflected images obtained from the single resonator using a continuous wave input beam for the under, critical, and over coupling conditions, respectively. Several characteristic aspects of the 2D image propagation that was obtained experimentally [15,16] were also reproduced in the Fourier analysis. We observed that the edge region of the image was enhanced for the under coupling condition (Figure 3(c)).…”

“…The total output image is the sum of the direct component and the π(rad) phase-shifted and time-delayed multiple-reflected components [15]. Because the first mirror reflects all of the k-space Fourier components, the k-space bandwidth is effectively infinite for the direct component.…”

“…Two-dimensional images encoded on optical pulses were either advanced or delayed through a single image resonator using relevant dispersion [15]. Further, 2D tunable delayed images were demonstrated experimentally using CRIT.…”

“…Although there have been studies demonstrating pulsed 2D image propagation, until now there has been no comprehensive theoretical analysis for image propagation through the single and coupled resonators, specifically from the dispersion point of view. In contrast to real-space analysis [15,16], in this study we applied Fourier space analysis to study the propagation of 2D images encoded on temporal pulses through single and coupled image resonators, comprised of Fabry-Perot resonators. Real-space analysis provided an intuitive interpretation; however, this approach is not easily applied to complicated images or coupled resonators.…”