Instruments for measuring high-speed waveforms typically require calibration to obtain accurate results. The national metrology institutes of the United States of America, the United Kingdom, and Germany offer measurement services based on electro-optic sampling that can be used to establish a traceable calibration chain between high-speed waveform measurements and the SI. These services are increasingly switching to a full waveform metrology paradigm, obtaining an estimate of the central value and associated uncertainty of the entire waveform as a function of time.Index Terms -Electro-optic sampling, metrology, oscilloscope, photodetector, pulse, ultrafast, uncertainty, waveform.
I. FULL WAVEFORM METROLOGY AND TRACEABILITYAccurate electrical waveform measurements are required to assess modern data-intensive communications. Traditionally, a small collection of waveform parameters [1], such as transition duration and amplitude, have been used to specify a waveform. This leads to a loss of information since, for example, infinitely many different pulses may have the same transition duration but differ in other significant details. As increasingly complex waveforms are required to carry greater amounts of information this information loss becomes unacceptable and a new measurement paradigm is required.Our respective metrology institutes are developing such a paradigm, which we refer to as full waveform metrology. Its goal is an estimate of the central value and associated uncertainty at each time point. Because the corrections for systematic effects are conducted in the frequency domain, and our goal is also to characterize signals and devices in both the time-and frequency-domains, we must account for correlations between uncertainties at different times and/or frequencies as in, e.g., [2,3]. In the context of electrical measurements, this necessitates the additional characterization of impedance. From the full waveform measurement, uncertainties on any waveform parameter may be derived [2][3][4]. Using this paradigm, waveform measurement instruments and, in turn, signal sources can be made traceable to the SI.NIST, NPL, and PTB use electro-optic sampling (EOS) techniques, in conjunction with ultrafast lasers (duration ~100 fs), as primary standards for high-speed electrical measurements. Such techniques are capable of measurement bandwidths on the order of 1 THz and the dominant contributors to the measurement can be characterized traceably to the SI through physics-based measurement models.
II. TRACEABILITY AT NISTNIST's primary EOS system [2,5] splits the linearly polarized output of a 1550 nm Erbium-doped fiber laser into pump and sampling beams to calibrate a 1.00 mm coaxially connectorized photodiode, which is then used in turn to calibrate lightwave component analyzers and a large class of waveform measurement instruments. When illuminated by the pump, the photodiode creates a series of electrical impulses at its coaxial output which propagate through a microwave probe to a coplanar waveguide (CPW) that is f...