Dispersive Fourier Transformation for Versatile Microwave Photonics Applications

Dispersive Fourier transformation (DFT) maps the broadband spectrum of an ultrashort optical pulse into a time stretched waveform with its intensity profile mirroring the spectrum using chromatic dispersion. Owing to its capability of continuous pulse-by-pulse spectroscopic measurement and manipulation, DFT has become an emerging technique for ultrafast signal generation and processing, and high-throughput real-time measurements, where the speed of traditional optical instruments falls short. In this paper, the principle and implementation methods of DFT are first introduced and the recent development in employing DFT technique for widespread microwave photonics applications are presented, with emphasis on real-time spectroscopy, microwave arbitrary waveform generation, and microwave spectrum sensing. Finally, possible future research directions for DFT-based microwave photonics techniques are discussed as well.

[1]  Ming Li,et al.  Integrated waveguide Bragg gratings for microwave photonics signal processing. , 2013, Optics express.

[2]  N.J. Gomes,et al.  Performance analysis of 802.11e transmission bursting in fiberfed networks , 2008, 2008 IEEE Radio and Wireless Symposium.

[3]  Yeshaiahu Fainman,et al.  Time-domain waveform processing by chromatic dispersion for temporal shaping of optical pulses , 2005 .

[4]  N. Djilali,et al.  In-fibre Bragg grating sensors for distributed temperature measurement in a polymer electrolyte membrane fuel cell , 2009 .

[5]  T. Erdogan Fiber grating spectra , 1997 .

[6]  D.B. Hunter,et al.  A photonic technique for microwave frequency measurement , 2006, IEEE Photonics Technology Letters.

[7]  Chao Lu,et al.  High-speed fibre Bragg grating sensor interrogation using dispersion compensation fibre , 2008 .

[8]  José Azaña,et al.  Experimental demonstration of real-time Fourier transformation using linearly chirped fibre Bragg gratings , 1999 .

[9]  Bahram Jalali,et al.  Giant tunable optical dispersion using chromo-modal excitation of a multimode waveguide. , 2011, Optics express.

[10]  A. Zeitouny,et al.  Optical generation of linearly chirped microwave pulses using fiber Bragg gratings , 2005, IEEE Photonics Technology Letters.

[11]  Nathan J. Gomes,et al.  Photonics-enabled sub-Nyquist radio frequency sensing based on temporal channelization and compressive sensing , 2014, Microwave Photonics (MWP) and the 2014 9th Asia-Pacific Microwave Photonics Conference (APMP) 2014 International Topical Meeting on.

[12]  Amir Dezfooliyan,et al.  Photonic synthesis of high fidelity microwave arbitrary waveforms using near field frequency to time mapping. , 2013, Optics express.

[13]  Mário A. T. Figueiredo,et al.  Gradient Projection for Sparse Reconstruction: Application to Compressed Sensing and Other Inverse Problems , 2007, IEEE Journal of Selected Topics in Signal Processing.

[14]  David Marpaung,et al.  On‐chip stimulated Brillouin Scattering for microwave signal processing and generation , 2014 .

[15]  B. Jalali,et al.  Femtosecond real-time single-shot digitizer , 2006 .

[16]  J. Bokor,et al.  Bragg gratings fabricated in monomode photosensitive optical fiber by UV exposure through a phase mask , 1993 .

[17]  Xianmin Zhang,et al.  Microwave spectral analysis based on photonic compressive sampling with random demodulation. , 2012, Optics letters.

[18]  Larry A. Coldren,et al.  Photonic Integrated Circuits for microwave photonics , 2010, 2010 IEEE International Topical Meeting on Microwave Photonics.

[19]  K. Williams,et al.  Microwave photonics , 2002 .

[20]  I. Lin,et al.  Photonic synthesis of broadband microwave arbitrary waveforms applicable to ultra-wideband communication , 2005, IEEE Microwave and Wireless Components Letters.

[21]  A. Mitchell,et al.  A microwave channelizer and spectroscope based on an integrated optical Bragg-grating Fabry-Perot and integrated hybrid Fresnel lens system , 2006, IEEE Transactions on Microwave Theory and Techniques.

[22]  Relaxed dispersion requirement in the generation of chirped RF signals based on frequency-to-time mapping , 2014 .

[23]  Microwave data refine picture of Universe , 2006, Nature.

[24]  Chao Wang,et al.  Fiber Bragg Gratings for Microwave Photonics Applications , 2013 .

[25]  Alwyn J. Seeds,et al.  Optically generated true-time delay in phased-array antennas , 1995 .

[26]  H. Taylor,et al.  An optical analog-to-digital converter - Design and analysis , 1979, IEEE Journal of Quantum Electronics.

[27]  J. Azaña,et al.  Real-time optical spectrum analysis based on the time-space duality in chirped fiber gratings , 2000, IEEE Journal of Quantum Electronics.

[28]  Chao Wang,et al.  Photonic Generation of Chirped Millimeter-Wave Pulses Based on Nonlinear Frequency-to-Time Mapping in a Nonlinearly Chirped Fiber Bragg Grating , 2008, IEEE Transactions on Microwave Theory and Techniques.

[29]  Ming Li,et al.  An Unbalanced Temporal Pulse-Shaping System for Chirped Microwave Waveform Generation , 2010, IEEE Transactions on Microwave Theory and Techniques.

[30]  Yitang Dai,et al.  Chirped Microwave Pulse Generation Using a Photonic Microwave Delay-Line Filter With a Quadratic Phase Response , 2009, IEEE Photonics Technology Letters.

[31]  Fabrizio Berizzi,et al.  A fully photonics-based coherent radar system , 2014, Nature.

[32]  A M J Koonen,et al.  Perspectives of Radio over Fiber Technologies , 2008, OFC/NFOEC 2008 - 2008 Conference on Optical Fiber Communication/National Fiber Optic Engineers Conference.

[33]  Broadband time-domain absorption spectroscopy with a ns-pulse supercontinuum source. , 2010, Optics express.

[34]  Clemens F Kaminski,et al.  High bandwidth absorption spectroscopy with a dispersed supercontinuum source. , 2007, Optics express.

[35]  F. Coppinger,et al.  Time-stretched analogue-to-digital conversion , 1998 .

[36]  B. Jalali,et al.  Adaptive RF-photonic arbitrary waveform generator , 2003, IEEE Photonics Technology Letters.

[37]  A. S. Bhushan,et al.  Time-domain optical sensing , 1999 .

[38]  Y. Tong,et al.  Fibre dispersion or pulse spectrum measurement using a sampling oscilloscope , 1997 .

[39]  Jianping Yao,et al.  Large Time-Bandwidth Product Microwave Arbitrary Waveform Generation Using a Spatially Discrete Chirped Fiber Bragg Grating , 2010, Journal of Lightwave Technology.

[40]  Yitang Dai,et al.  Nonuniformly Spaced Photonic Microwave Delay-Line Filters and Applications , 2010, IEEE Transactions on Microwave Theory and Techniques.

[41]  Jianping Yao,et al.  Instantaneous Microwave Frequency Measurement Using a Special Fiber Bragg Grating , 2011, IEEE Microwave and Wireless Components Letters.

[42]  K. Goda,et al.  Dispersive Fourier transformation in the 800 nm spectral range , 2012, 2012 Conference on Lasers and Electro-Optics (CLEO).

[43]  C. Dorrer Statistical analysis of incoherent pulse shaping , 2009, 2009 Conference on Lasers and Electro-Optics and 2009 Conference on Quantum electronics and Laser Science Conference.

[44]  N. K. Berger,et al.  Complete characterization of optical pulses by real-time spectral interferometry. , 2005, Applied optics.

[45]  Bahram Jalali,et al.  Real-time measurements, rare events and photon economics , 2010 .

[46]  B. Kolner Space-time duality and the theory of temporal imaging , 1994 .

[47]  Bahram Jalali,et al.  Photonic time-stretched analog-to-digital converter: fundamental concepts and practical considerations , 2003 .

[48]  Bahram Jalali,et al.  Optical phase recovery in the dispersive Fourier transform , 2009 .

[49]  Chao Wang,et al.  Phase-Coded Millimeter-Wave Waveform Generation Using a Spatially Discrete Chirped Fiber Bragg Grating , 2012, IEEE Photonics Technology Letters.

[50]  I. A. Walmsley,et al.  Self-referencing spectral interferometry for measuring ultrashort optical pulses , 1999 .

[51]  Jianping Yao,et al.  Continuously Tunable Photonic Microwave Frequency Multiplication by Use of an Unbalanced Temporal Pulse Shaping System , 2010, IEEE Photonics Technology Letters.

[52]  N. Kukutsu,et al.  Tomographic Imaging Using Photonically Generated Low-Coherence Terahertz Noise Sources , 2012, IEEE Transactions on Terahertz Science and Technology.

[53]  R.A. Minasian,et al.  Microwave Photonic Signal Processing , 2011, 2007 Conference on Lasers and Electro-Optics (CLEO).

[54]  Ming C. Wu,et al.  Characterization of a coherent optical RF channelizer based on a diffraction grating , 2001 .

[55]  Jianping Yao,et al.  Continuous true-time-delay beamforming for phased array antenna using a tunable chirped fiber grating delay line , 2002, IEEE Photonics Technology Letters.

[56]  Chao Wang,et al.  Simultaneous Optical Spectral Shaping and Wavelength-to-Time Mapping for Photonic Microwave Arbitrary Waveform Generation , 2009, IEEE Photonics Technology Letters.

[57]  B. Jalali,et al.  Real-time wavelength and bandwidth-independent optical integrator based on modal dispersion. , 2012, Optics express.

[58]  Robert H. Walden,et al.  Analog-to-digital converter survey and analysis , 1999, IEEE J. Sel. Areas Commun..

[59]  K. Goda,et al.  Theory of amplified dispersive Fourier transformation , 2009 .

[60]  R. Kashyap Fiber Bragg Gratings , 1999 .

[61]  Tadasi Sueta,et al.  Optical pulse compression using high-frequency electrooptic phase modulation , 1988 .

[62]  Minghao Qi,et al.  Ultrabroad-bandwidth arbitrary radiofrequency waveform generation with a silicon photonic chip-based spectral shaper , 2010 .

[63]  A. Weiner Femtosecond pulse shaping using spatial light modulators , 2000 .

[64]  Jianping Yao,et al.  Complete Characterization of an Optical Pulse Based on Temporal Interferometry Using an Unbalanced Temporal Pulse Shaping System , 2011, Journal of Lightwave Technology.

[65]  Arnaud Le Kernec,et al.  Microwave photonic technologies for flexible satellite telecom payloads , 2009, 2009 35th European Conference on Optical Communication.

[66]  H. Xia,et al.  Ultrafast and Precise Interrogation of Fiber Bragg Grating Sensor Based on Wavelength-to-Time Mapping Incorporating Higher Order Dispersion , 2010, Journal of Lightwave Technology.

[67]  Jianping Yao,et al.  Characterization of Subpicosecond Pulses Based on Temporal Interferometry With Real-Time Tracking of Higher Order Dispersion and Optical Time Delay , 2009, Journal of Lightwave Technology.

[68]  Chao Wang,et al.  Fourier Transform Ultrashort Optical Pulse Shaping Using a Single Chirped Fiber Bragg Grating , 2009, IEEE Photonics Technology Letters.

[69]  Jianping Yao,et al.  Chirped Microwave Pulse Generation Based on Optical Spectral Shaping and Wavelength-to-Time Mapping Using a Sagnac Loop Mirror Incorporating a Chirped Fiber Bragg Grating , 2009, Journal of Lightwave Technology.

[70]  Raman Kashyap,et al.  On the group delay characteristics of chirped fibre Bragg gratings , 1998 .

[71]  Jianping Yao,et al.  Photonics for ultrawideband communications , 2009, IEEE Microwave Magazine.

[72]  Yeshaiahu Fainman,et al.  Demonstration of a microwave spectrum analyzer based on time-domain optical processing in fiber. , 2004, Optics letters.

[73]  B Jalali,et al.  Optical folding-flash analog-to-digital converter with analog encoding. , 1995, Optics letters.

[74]  J. McKinney,et al.  Millimeter-wave arbitrary waveform generation with a direct space-to-time pulse shaper. , 2002, Optics letters.

[75]  Jianping Yao,et al.  Photonic generation of microwave arbitrary waveforms , 2011, 16th Opto-Electronics and Communications Conference.

[76]  A. Papoulis PULSE COMPRESSION, FIBER COMMUNICATIONS, AND DIFFRACTION : A UNIFIED APPROACH , 1994 .

[77]  S. Kawanishi,et al.  Optical pulse generator using phase modulator and linearly chirped fiber Bragg gratings , 2005, IEEE Photonics Technology Letters.

[78]  R.G. Baraniuk,et al.  Compressive Sensing [Lecture Notes] , 2007, IEEE Signal Processing Magazine.

[79]  Nathan J Gomes,et al.  Radio Over Fiber Link Design for Next Generation Wireless Systems , 2010, Journal of Lightwave Technology.

[80]  Jianping Yao,et al.  All-Fiber Chirped Microwave Pulses Generation Based on Spectral Shaping and Wavelength-to-Time Conversion , 2007, IEEE Transactions on Microwave Theory and Techniques.

[81]  José Capmany,et al.  Integrated microwave photonics , 2019, Nature Photonics.

[82]  Bahram Jalali,et al.  Digital broadband linearization technique and its application to photonic time-stretch analog-to-digital converter. , 2011, Optics letters.

[83]  Bahram Jalali,et al.  Time-warp correction and calibration in photonic time-stretch analog-to-digital converter. , 2008, Optics letters.

[84]  Beatriz Ortega,et al.  Variable delay line for phased-array antenna based on a chirped fiber grating , 2000 .

[85]  Victor Torres-Company,et al.  Dispersion requirements in coherent frequency-to-time mapping. , 2011, Optics express.

[86]  B. Jalali,et al.  Amplified wavelength–time transformation for real-time spectroscopy , 2008 .

[87]  J. Chou,et al.  Real-time spectroscopy with subgigahertz resolution using amplified dispersive Fourier transformation , 2008 .

[88]  J M Nichols,et al.  Beating Nyquist with light: a compressively sampled photonic link. , 2011, Optics express.

[89]  Jianping Yao,et al.  Generation and distribution of a wide-band continuously tunable millimeter-wave signal with an optical external modulation technique , 2005, IEEE Transactions on Microwave Theory and Techniques.

[90]  Kevin K Tsia,et al.  Optical time-stretch confocal microscopy at 1 μm. , 2012, Optics letters.

[91]  Jianping Yao,et al.  Ultrafast and Ultrahigh-Resolution Interrogation of a Fiber Bragg Grating Sensor Based on Interferometric Temporal Spectroscopy , 2011, Journal of Lightwave Technology.

[92]  Xihua Zou,et al.  An Approach to the Measurement of Microwave Frequency Based on Optical Power Monitoring , 2008, IEEE Photonics Technology Letters.

[93]  Andrew M. Weiner,et al.  Femtosecond direct space-to-time pulse shaping in an integrated-optic configuration. , 2004 .

[94]  Chao Wang,et al.  All-Fiber Ultrawideband Pulse Generation Based on Spectral Shaping and Dispersion-Induced Frequency-to-Time Conversion , 2007, IEEE Photonics Technology Letters.

[95]  Jianping Yao,et al.  Chirped RF Pulse Generation Based on Optical Spectral Shaping and Wavelength-to-Time Mapping Using a Nonlinearly Chirped Fiber Bragg Grating , 2008, Journal of Lightwave Technology.

[96]  Chao Wang,et al.  Photonic generation and processing of millimeter-wave arbitrary waveforms , 2008, LEOS 2008 - 21st Annual Meeting of the IEEE Lasers and Electro-Optics Society.

[97]  M M Murnane,et al.  Generation of transform-limited 32-fs pulses from a self-mode-locked Ti:sapphire laser. , 1992, Optics letters.

[98]  Edmund Y Lam,et al.  Interferometric time-stretch microscopy for ultrafast quantitative cellular and tissue imaging at 1 μm , 2014, Journal of biomedical optics.

[99]  George C Valley,et al.  Photonic analog-to-digital converters. , 2007, Optics express.

[100]  B. Jalali,et al.  Time-wavelength spectroscopy for chemical sensing , 2004, IEEE Photonics Technology Letters.

[101]  Jianping Yao,et al.  Real-Time Interrogation of a Linearly Chirped Fiber Bragg Grating Sensor Based on Chirped Pulse Compression With Improved Resolution and Signal-to-Noise Ratio , 2011, Journal of Lightwave Technology.

[102]  T Jannson,et al.  Real-time Fourier transformation in dispersive optical fibers. , 1983, Optics letters.

[103]  Chao Wang,et al.  Ultrahigh-Resolution Photonic-Assisted Microwave Frequency Identification Based on Temporal Channelization , 2013, IEEE Transactions on Microwave Theory and Techniques.

[104]  Superimposed Oppositely Chirped FBGs for Ultrafast FBG Sensor Interrogation with Significantly Improved Resolution , 2010 .

[105]  J. McKinney,et al.  Photonically assisted generation of continuous arbitrary millimetre electromagnetic waveforms , 2003 .

[106]  H. Chi,et al.  Symmetrical waveform generation based on temporal pulse shaping using amplitude-only modulator , 2007 .

[107]  K. Goda,et al.  Hybrid Dispersion Laser Scanner , 2012, Scientific Reports.

[108]  M A Muriel,et al.  Real-time Fourier transformer based on fiber gratings. , 1999, Optics letters.

[109]  K. Goda,et al.  Dispersive Fourier transformation for fast continuous single-shot measurements , 2013, Nature Photonics.

[110]  José Capmany,et al.  Microwave photonics combines two worlds , 2007 .

[111]  Pedro Andrés,et al.  20 GHz arbitrary radio-frequency waveform generator based on incoherent pulse shaping. , 2008, Optics express.

[112]  Leimeng Zhuang,et al.  On-chip CMOS compatible reconfigurable optical delay line with separate carrier tuning for microwave photonic signal processing. , 2011, Optics express.

[113]  A. S. Bhushan,et al.  Photonic time stretch and its application to analog-to-digital conversion , 1999 .

[114]  J. Mora,et al.  Microwave Photonic Signal Processing , 2015, Journal of Lightwave Technology.

[115]  Jianping Yao,et al.  Fiber Bragg gratings for microwave photonics subsystems. , 2013, Optics express.

[116]  Chao Wang,et al.  Photonic Generation of Chirped Microwave Pulses Using Superimposed Chirped Fiber Bragg Gratings , 2008, IEEE Photonics Technology Letters.

[117]  B. Jalali,et al.  Serial time-encoded amplified imaging for real-time observation of fast dynamic phenomena , 2009, Nature.

[118]  José Capmany,et al.  Applications of fiber Bragg gratings to microwave photonics (invited paper) , 2000 .

[119]  Pedro Andrés,et al.  Incoherent frequency-to-time mapping: application to incoherent pulse shaping. , 2007, Journal of the Optical Society of America. A, Optics, image science, and vision.

[120]  E J Friebele,et al.  Grating sensor array demodulation by use of a passively mode-locked fiber laser. , 1997, Optics letters.

[121]  M.E. Manka,et al.  Microwave photonics for Electronic Warfare applications , 2008, 2008 International Topical Meeting on Microwave Photonics jointly held with the 2008 Asia-Pacific Microwave Photonics Conference.

[122]  H. Haus,et al.  Reconfigurable time-domain spectral shaping of an optical pulse stretched by a fiber Bragg grating. , 2000, Optics letters.

[123]  Henry Zmuda,et al.  Photonic Aspects of Modern Radar , 1994 .

[124]  Jianping Yao,et al.  Photonic Generation of Continuously Tunable Chirped Microwave Waveforms Based on a Temporal Interferometer Incorporating an Optically Pumped Linearly Chirped Fiber Bragg Grating , 2011, IEEE Transactions on Microwave Theory and Techniques.