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Optics Letters

Temporally overlapped linear frequency-chirped pulse programming for true-time-delay applications

Randy R. Reibel, Zeb W. Barber, Ming Tian, William Randall Babbitt

Published Apr 1, 2002• 20 citations
Publisher

Abstract

A novel technique for programming broadband true-time delays that uses two frequency-offset temporally overlapped linear frequency-chirped pulses to produce periodic spectral gratings in an inhomogeneously broadened absorber is presented. Advantages of this technique include its ability to use chirped pulses that are longer than the coherence time of the crystal, less stringent laser frequency-stability requirements for grating accumulation, lower power requirements, a simplified system design, and the ability to tune broadband (multigigahertz) delays over a wide dynamic range (picoseconds to microseconds).

DOI
10.1364/ol.27.000494

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A novel technique for programming broadband true-time delays that uses two frequency-offset temporally overlapped linear frequency-chirped pulses to produce periodic spectral gratings in an inhomogeneously broadened absorber is presented. Advantages of this technique include its ability to use chirped pulses that are longer than the coherence time of the crystal, less stringent laser frequency-stability requirements for grating accumulation, lower power requirements, a simplified system design, and the ability to tune broadband (multigigahertz) delays over a wide dynamic range (picoseconds to microseconds).
A complex spectral grating is accumulated by repeated application of a pair of low-power optical programming pulses to a short-term persistent inhomogeneously broadened transition in Tm:YAG at 4.5 K and then probed to investigate the buildup dynamics. The necessary frequency stability is obtained by locking a cw Ti:sapphire laser to a regenerating transient spectral hole in the same transition. Grating accumulation is demonstrated for both a periodic spectral grating, representing a true-time delay, and a complex spectral grating, permitting correlation-based pattern recognition. This work is a step toward demonstrating an optical coherent transient continuously programmed continuous processor.
We have demonstrated a technique for programming variable time delays of a pattern waveform in a spectral grating. By frequency shifting the chirped programming pulses, correlation and delays over 450 ns were achieved without changing the programming sequence timing. The demonstrated bandwidth of 40 MHz only utilized /spl sim/0.2 % of the inhomogeneously broadened absorber's bandwidth. Thus, this technique has the potential to allow versatile, all-optical reception and processing of > 10 GHz signals in broadband array antenna beamforming.
Summary form only given. When phased array antenna systems operate with broadband (multiple gigahertz) signals, true time-delay devices are needed to solve the problem of beam squint. Optical coherent transient technology, also known as spatial-spectral holography, offers a unique way of using the space and frequency dimensions of inhomogeneously broadened absorbers to handle thousands of high-resolution delays in a compact volume. We demonstrated broadband true-time delay in a Tm/sup 3+/:YAG crystal, which offers delays up to a microsecond on signals having several tens of GHz bandwidth with sub-picosecond delay resolution.
Using multiple temporally-overlapped, frequency offset and phase-tuned, linear frequency chirps, a new method of multi-GHz optical coherent transient optical pulse shaping and processing in inhomogeneously broadened rare-earth doped crystals is proposed. Using this technique with properly chirped laser sources, multi-GHz processing can be controlled with conventional low-bandwidth electronics and optical modulators. Specifically, this technique enables pulse shaping in the MHz to THz frequency regime with time-bandwidth-products exceeding 100,000, filling the gap between the operating regimes of femtosecond pulse shaping and analog electronics. The low bandwidth (~20 MHz) proof-of-concept demonstrations presented in this paper include pulse train creation, selfconvolution, auto-correlation, and chirped pulse compression.
A technique is proposed and experimentally demonstrated that achieves simultaneous optical pattern waveform storage and programmable time delay for continuous real-time signal processing by use of optical coherent transient technology. We achieve variable-time-delay and broadband signal processing by frequency shifting of two chirped programming pulses, the chirp rate of one being twice that of the other, without using brief reference pulses and without changing the timing of the programming sequence. We demonstrate the technique experimentally in Tm(3+): YAG at 5 K for 40-MHz chirps by performing temporal signal convolution with true-time delays that vary over a 250-ns range.
Summary form only given. Accurate true-time delays are essential to correctly steer modern phased-array antennas. Optical coherent transient technology has the ability to store a variable true-time delay as a spatial-spectral holographic population grating in an inhomogeneously broadened absorber (IBA). Typically, two optical pulses program the delay. A third optical pulse or waveform applied to the IBA generates a delayed replica of itself. The delay is typically defined by /spl tau//sub 21/=t/sub 2/-t/sub 1/, the arrival time difference of the first two pulses. However, we find that this prediction for the delay of the emitted signal only holds for input optical pulse areas much less than pi. Experimental investigation and simulations were performed to observe the variation in arrival time of the output signal.