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International Conference on Ultrafast Phenomena

Spatio-Temporal Holograpy

Martin C. Nuss, Melissa Li, T. H. Chiu, Afshin Partovi

Published Jan 1, 1994• 0 citations
Publisher

Abstract

There are quite a few examples of analogies between spatial problems and their corresponding temporal counterparts in optics. One example is the space-time duality between diffraction and dispersion, which has recently resulted in the concept of a “time lens” [1,2]. Another one is the similarity between holographic and photon-echo optical memories [3].

DOI
10.1364/up.1994.mc.3

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There are quite a few examples of analogies between spatial problems and their corresponding temporal counterparts in optics. One example is the space-time duality between diffraction and dispersion, which has recently resulted in the concept of a “time lens” [1,2]. Another one is the similarity between holographic and photon-echo optical memories [3].
Temporal imaging is a technique that enables manipulation of temporal optical signals in a manner similar to manipulation of optical images in spatial domain. It uses the notion of space-time duality with dispersion phenomena playing the role of diffraction and quadratic phase modulation in time acting as a time lens. In this work we address the problem of temporal imaging of a temporally broadband squeezed light generated by a traveling-wave optical parametric amplifier or a similar device. We consider a single-lens temporal imaging system formed by two dispersive elements and a parametric temporal lens, based on a sum-frequency generation process. We derive a unitary transformation of the field operators performed by this kind of time lens. We evaluate the squeezing spectrum at the output of the single-lens imaging system and find the conditions preserving squeezing in the output field. When the efficiency factor of the temporal lens is smaller than unity, the vacuum fluctuations deteriorate squeezing at its output. For efficiency close to unity, when certain imaging conditions are satisfied, the squeezing spectrum at the output of the imaging system will be the same as that at the output of the OPA. This scheme gives the possibility of matching the coherence time of the broadband squeezed light to the response time of the photodetector. We finally discuss a temporal imaging scheme which allows to partially compensating the frequency dispersion of the OPA.
A time-lens can image signals in time and map ultrafast signals from frequency to time. The concept of time-lens is based on the duality between the diffraction of light in space and the dispersion of pulses in time, which arises from the similarity between the equations describing these two phenomena. In this paper we explain how to use time-lenses in order to perform high-resolution temporal imaging on non-classical ultrafast signals. Such a scheme can be used e.g. for diagnosing quantum cryptography schemes on optical fiber networks or assessing the performance of photonic quantum computers and simulators.