Measurement of subpicosecond optical waveforms using a resonator-based phase modulator

Berger, N.K.

doi:10.1016/j.optcom.2009.11.079

Cited by 7 publications

(3 citation statements)

References 33 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In spectral measurements, resolution improvement is required for characterization of ultranarrow optical filters [4][5][6], in molecular spectroscopy [7], and stellar and solar measurements [8]. Temporal superresolution is applied for measuring picosecond [9] and subpicosecond [10] periodic optical pulses with conventional photodiodes and oscilloscopes. In such a way, the equivalent bandwidth of measuring apparatus is increased from 40 GHz available today up to several terahertz.…”

Section: Introductionmentioning

confidence: 99%

“…For spectral superresolution, the object spectrum to be measured is spectrally modulated by a filter with a sinusoidal [8] or a periodic spectral response with higher modulation harmonics [15,16]. In the measurements of periodic ultrashort optical pulses with temporal superresolution, the pulses are temporally modulated, for instance, by a Mach-Zehnder modulator [9] or a resonator-based optical phase modulator [10].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Periodic modulation-based spectral and temporal superresolution with a single measurement

Berger

2015

Appl. Opt.

Self Cite

View full text Add to dashboard Cite

In a superresolution technique, based on periodic modulation of the signal to be tested, high resolution is obtained for a large number of modulation harmonics. However, the number of measurements, required for measuring one quantity, is equal to the number of harmonics. Two techniques of spectral and temporal superresolution with a single measurement, based on replication of the signal, are proposed and numerically demonstrated. In the first one, replication and modulation lead to sampling and compression in the Fourier transform domain. It is shown that an optical spectrum analyzer with a resolution of 0.01 nm (1.25 GHz) is capable of measuring 1 MHz spectral lines with a resolution of 60 kHz, using the superresolution technique proposed. The spectrum is magnified by a factor of 10,000. Similarly, the measurement of 1.7 ps optical pulses with a resolution of 44 fs can be performed with a 30 GHz real-time oscilloscope. The magnification factor is 160. In the second proposed method, the parts of the signal Fourier transform for each replica are shifted into the system passband. This method is useful for measurement of very long single-shot ultrafast temporal waveforms.

show abstract

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Periodic modulation-based spectral and temporal superresolution with a single measurement

Berger

2015

Appl. Opt.

Self Cite

View full text Add to dashboard Cite

show abstract

“…However, nonideal lensing, the mismatch between a time lens and dispersions and higher-order dispersions lead to temporal aberrations of measured waveforms. Recently, a method of temporal superresolution based on periodic intensity modulation [3,4] has been proposed that does not require any dispersion and a specific shape of modulation. In this work, we propose the application of this method for measuring single-shot optical waveforms and numerically demonstrate its implementation.…”

mentioning

confidence: 99%

Application of temporal superresolution for measuring fast single-shot optical waveforms

Berger

2011

2011 Conference on Lasers and Electro-Optics Europe and 12th European Quantum Electronics Conference (CLEO EUROPE/EQEC)

Self Cite

View full text Add to dashboard Cite

Measurements of ultrafast optical waveforms using phase modulation (so-called time lens) have recently attracted considerable attention [1,2]. These methods allow one to achieve high resolutions up to 10 fs and to measure waveforms with temporal lengths up to 100 ps. However, nonideal lensing, the mismatch between a time lens and dispersions and higher-order dispersions lead to temporal aberrations of measured waveforms. Recently, a method of temporal superresolution based on periodic intensity modulation [3,4] has been proposed that does not require any dispersion and a specific shape of modulation. In this work, we propose the application of this method for measuring single-shot optical waveforms and numerically demonstrate its implementation.We consider the measurement of the digital optical signal "1101" consisting of three Gaussian 1.7 ps pulses (see Fig.1, blue curve) using a photodiode and a conventional real-time oscilloscope with a 30-GHz passband. The waveform intensity spectrum is much broader than the passband of the recording system. In conventional measurements, only a small central portion of the spectrum is transmitted and the signal on the oscilloscope screen will be broadened and smeared. We divide the waveform spectrum into 2N+1 parts with the widths equal to that of the passband of the recording system, and the spectrum is transmitted and measured by parts.First, we obtain the burst of 2N+1 replicas of the input waveform, using , for instance, 2N+1 evenly spaced low reflecting fiber Bragg gratings. Then the burst is periodically modulated by two phase modulators, placed into two arms of a Mach-Zehnder interferometer. The signal that would be recorded with an oscilloscope for a modulation frequency of 40 GHz and modulation indices of 2π is shown in Fig.2. It can be seen in the inset that the initial Gaussian pulses are entirely smeared in each of 2N+1=17 replicas. However, this pattern contains full information on the input waveform. The n-th part of the input waveform spectrum can be found as 2 , , 0where c n is the n-th Fourier coefficient of the modulation function, H(ω) is the transfer function of a photodiode and an oscilloscope, F osc,m (ω) is the Fourier transform of the m-th modulated replica measured by an oscilloscope, and A m is the amplitude of the m-th replica. The waveform spectrum is composed from its restored parts and then inversely Fourier transformed for obtaining the input waveform. The restored waveforms are shown in Fig.1 in absence of noise (red curve) and for a noise level of 1% (green curve). The root mean square deviations from the original waveform are 0.5% and 2.1%, respectively. The maximum temporal length of measured waveforms is determined by the delay time of the replicas and can be increased up to milliseconds.

show abstract

Force Sensing Device Design using a Modified Add-Drop filter

Kulrod¹,

Sirawattananon²,

Mitatha³

et al. 2012

Procedia Engineering

View full text Add to dashboard Cite

Measurement of subpicosecond optical waveforms using a resonator-based phase modulator

Cited by 7 publications

References 33 publications

Periodic modulation-based spectral and temporal superresolution with a single measurement

Periodic modulation-based spectral and temporal superresolution with a single measurement

Application of temporal superresolution for measuring fast single-shot optical waveforms

Force Sensing Device Design using a Modified Add-Drop filter

Contact Info

Product

Resources

About