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Journal of the Optical Society of America B

Holography in frequency-selective media III Spectral synthesis of arbitrary time-domain pulse shapes

H. Schwoerer, Daniel Erni, Alexander Rebane

Published Jun 1, 1995• 24 citations
Publisher

Abstract

We study theoretically and experimentally the synthesis of arbitrary time-domain pulse shapes, using short laser pulses scattered by holograms stored in a spectrally selective hole-burning material. In general, writing holograms in spectrally selective materials results in cross talk and interference between different frequencies because of Kramers–Kronig dispersion relations. We discuss different ways to exclude the cross talk that disturbs faithful reproduction of the desired time-domain pulse shapes. In particular, we show that one can exclude the cross talk by writing holograms in a way that simulates a time-domain offset of the object pulse. To confirm our theoretical considerations we carry out experiments by writing persistent spectral hole-burning holograms with a tunable dye laser in an organic dye–polymer system at low temperature. By reading out the time-domain response with subpicosecond white-light pulses we demonstrate the feasibility of spectral synthesis of light pulses with complicated amplitude and phase properties on the time scale of hundreds of picoseconds with a subpicosecond time resolution.

DOI
10.1364/josab.12.001083

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A new hologram type in spectral hole-burning systems is presented. During exposure, the frequency of narrow-band laser light is swept over a spectral range that corresponds to a few homogeneous linewidths of the spectrally selective recording material. Simultaneously the phase of the hologram is adjusted as a function of frequency-the phase sweep function. Because of the phase-reconstructing properties of holography, this recording technique programs the sample as a spectral amplitude and phase filter. We call this hologram type frequency and phase swept (FPS) holograms. Their properties and applications are summarized, and a straightforward theory is presented that describes all the diffraction phenomena observed to date. Thin FPS holograms show strongly asymmetric diffraction into conjugated diffraction orders, which is an unusual behavior for thin transmission holograms. Investigations demonstrate the advantages of FPS holograms with respect to conventional cw recording techniques in freq ncymultiplexed data storage. By choosing appropriate phase sweep functions, various features of holographic data storage can be optimized. Examples for cross-talk reduction, highest diffraction efficiency, and maximal readout stability are demonstrated. The properties of these FPS hologram types are deduced from theoretical considerations and confirmed by experiments.

Applied Optics•Aug 1, 1995•13 citations
We study theoretically and experimentally the synthesis of arbitrary time-domain pulse shapes, using short laser pulses scattered by holograms stored in a spectrally selective hole-burning material. In general, writing holograms in spectrally selective materials results in cross talk and interference between different frequencies because of Kramers–Kronig dispersion relations. We discuss different ways to exclude the cross talk that disturbs faithful reproduction of the desired time-domain pulse shapes. In particular, we show that one can exclude the cross talk by writing holograms in a way that simulates a time-domain offset of the object pulse. To confirm our theoretical considerations we carry out experiments by writing persistent spectral hole-burning holograms with a tunable dye laser in an organic dye–polymer system at low temperature. By reading out the time-domain response with subpicosecond white-light pulses we demonstrate the feasibility of spectral synthesis of light pulses with complicated amplitude and phase properties on the time scale of hundreds of picoseconds with a subpicosecond time resolution.
It is acknowledged that inhomogeneous absorption bands consisting of narrow homogeneous zero-phonon lines (ZPL) can be used for the purpose of optical data storage in the frequency dimension /1/. Persistent spectral hole-burning (PSHB) /2,3/ has made it feasible to preserve the recorded frequency domain information for a practically unlimited period of time. Via PSHB the inhomogeneous distribution function of the resonance frequencies of the impurity zero-phonon lines can be altered in an almost arbitrary fashion. This, in turn, makes it possible to manipulate the absorption coefficient and correlated to it index of refraction of the optical storage media. On this basis it has been proposed to use PSHB for the shaping of laser pulses via Fourier synthesis /4/. Holographic storage of time domain optical signals in PSHB media was proposed by Mossberg /5/. In the first experiments on the PSHB time domain holography the reproduction of various temporal shapes of picosecond pulses was demonstrated in dye doped polymers cooled to liquid helium temperature /6/. Earlier Zuikov et al. observed correlation between the temporal shapes of nanosecond excitation laser pulses and photon echo signals /7/. Since that time a variety of experiments on time domain holography in different resonant media have been reported (see /8/ and references therein).
Persistent spectral hole burning (PSHB) in organic molecules doped in a polymer matrix at low temperatures allows optical recording of information in the dimensions of frequency and time, as well as in space and externally applied electric field. We use this special property to demonstrate new types of holograms, which extend conventional spatial-domain optical data storage into the new dimensions. Basic aspects of recording and playback of holograms by persistent spectral hole burning, including relation between frequency- and time-domain response function, is discussed. This paper is elucidating inherent relations between the time- and frequency-domain versions of PSHB holography. We show that by multiplexing holograms in the frequency dimension, we can store a large number (up to 12 000) of image holograms using a single spectral hole burning sample. In the time domain, we show storage and reproduction of ultrashort time-space images on the scale of 10 -12 −10 -13 s. Experiments demonstrating unusual hologram properties, such as causality-related asymmetry of diffraction, inversion of time coordinate, and ultrafast processing, are presented.
Spatio-temporal holography using persistent spectral hole-burning in dye molecules embedded in plastic films is promising for applications such as femtosecond pulse shaping, data storage or phase conjugation. In addition to the common 2 spatial dimensions of classical holograms, each point in the sample plane can be used to store spectral informations such as the shape of a femtosecond pulse. On each point of the sample, spectral interferences between a reference pulse and an object pulse (for example chirped) are recorded via spectral hole-burning in the absorption band of the dye molecule. As early as 1983, photon echo and time-reversal experiments using persistent spectral hole-burning were performed in porphyrazine styrol solutions at 630 nm [1]. Then several developments, like the reconstruction of the polarization state of object pulses [2], time and space holography [3,4], image holograms using a single pair of femtosecond pulses [5] were demonstrated in different photosensitive media.
Persistent spectral hole burning [1] in conjunction with holography (PSHB) opens new prospects for high density optical information storage and processing. In the holographic approach, hole burning is carried out with two -crossed coherent laser beams which bleach out a narrow frequency domain hole in an inhomogeneously broadened absorption band recording, at the same time, a spatial holographic fringe pattern. During read out of the hologram diffraction from this spatial fringe pattern occurs, and a holographic image is reconstructed, reflecting the changes of the absorption coefficient and the refractive index introduced by the spectral hole [2].
Time-and-space-domain holography [1,2] can be regarded as an extension of a conventional holographic process, where, in addition to the spatial image, the hologram plays back the time dependence of an event. The play-back of events is possible because we are using highly frequency-selective inhomogeneously broadened absorbers as recording material. This technique has a variety of potential applications in optical data storage and processing. In the present paper we consider the basic physical principle of time-and-space-domain storage in frequency-selective materials which exploit the effect of spectral hole burning [3]. In particular we will show that organic dye-doped spectral hole burning materials allow recording and playback of pi- co- and femtosecond time-scale events.
A new hologram type in spectral hole-burning systems is presented. During exposure, the frequency of narrow-band laser light is swept over a spectral range that corresponds to a few homogeneous linewidths of the spectrally selective recording material. Simultaneously the phase of the hologram is adjusted as a function of frequency-the phase sweep function. Because of the phase-reconstructing properties of holography, this recording technique programs the sample as a spectral amplitude and phase filter. We call this hologram type frequency and phase swept (FPS) holograms. Their properties and applications are summarized, and a straightforward theory is presented that describes all the diffraction phenomena observed to date. Thin FPS holograms show strongly asymmetric diffraction into conjugated diffraction orders, which is an unusual behavior for thin transmission holograms. Investigations demonstrate the advantages of FPS holograms with respect to conventional cw recording techniques in freq ncymultiplexed data storage. By choosing appropriate phase sweep functions, various features of holographic data storage can be optimized. Examples for cross-talk reduction, highest diffraction efficiency, and maximal readout stability are demonstrated. The properties of these FPS hologram types are deduced from theoretical considerations and confirmed by experiments.