CN111769875A - Arbitrary waveform generating device and method based on integer-order time domain Talbot effect - Google Patents
Arbitrary waveform generating device and method based on integer-order time domain Talbot effect Download PDFInfo
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Abstract
The invention relates to the field of signal processing and signal generation, in particular to an arbitrary waveform generating device based on an integral-order time domain Talbot effect, wherein a radio frequency signal generator is connected with a push-pull type Mach-Zehnder modulator; a Gaussian optical pulse sequence generated by a narrow-linewidth continuous optical laser and a periodic analog radio frequency signal generated by a radio frequency signal generator are simultaneously added into a push-pull type Mach-Zehnder modulator; sampling the periodic analog radio frequency signal by the Gaussian optical pulse sequence to obtain a periodic optical pulse sequence of the instantaneous frequency of the periodic analog radio frequency signal; the periodic optical pulse sequence enters a dispersion optical fiber with a first-order dispersion coefficient meeting an integral-order time domain Talbot effect; and outputting the optical pulse sequence through the dispersive optical fiber. The invention generates the expected ideal output time waveform according to the relation between the output optical pulse sequence and the input periodic analog radio frequency signal.
Description
Technical Field
The invention relates to the field of signal processing and signal generation, in particular to an arbitrary waveform generation device and method based on an integer order time domain Talbot effect.
Background
With the continuous and rapid development of scientific information technology, it is urgent to obtain efficient signal generation and processing. The programmable envelope high-speed optical pulse sequence also has a great application scene in the processing of all-optical signals and the generation of arbitrary waveforms. Conventional progressive pulse spectral shaping is often limited by the spectral resolution of the optical device. Since the highest spectral resolution of modern optics is 10GHZ, the process of handling light pulses below 10GHZ is very difficult; the system structure combining the high-speed electro-optical modulator and the broadband arbitrary waveform generator to generate the arbitrary time waveform has the defect of low energy utilization rate, and the structure also influences the processing and the generation of signals because the bandwidth of the electro-optical modulator is limited.
The 18 th century Talbot discovered that self-imaging occurs in spatial diffraction, i.e., a beam of coherent light is transmitted through a periodic grating, the same pattern as the grating is generated at a certain distance from the grating, and the special positions are periodically distributed. According to space-time duality, the Talbot effect also exists in a time domain, a Gaussian optical pulse sequence with a repetition period passes through a dispersion optical fiber with a specific size, the Gaussian optical pulse sequence can output a periodic signal which is the same as an input signal or increases the pulse repetition rate, and the characteristics of a single pulse sequence are kept unchanged, namely the Talbot effect in the time domain. The time domain Talbot effect is divided into an integer order effect and a fractional order effect. The integer order is a replica of the input signal, while the fractional order effect has the effect of increasing the repetition frequency of the input optical pulse train. The system has the advantages of simple structural configuration and easy operation, and more importantly, the structure has high energy utilization rate and low loss. In a structure of fractional order time domain Talbot effect, proposed by the chatter Shu in hong kong in 2019, an optical pulse sequence with a repetition period is modulated by a discrete signal, then passes through a dispersive optical fiber satisfying the fractional order Talbot effect, and finally the amplitude of the output optical pulse is determined by the amplitude of the modulation signal, namely, the discrete fourier transform of the modulation signal is proportional to the amplitude of the output signal, and the repetition frequency of the output optical pulse sequence is increased by integral multiple, which has important significance for the generation of any waveform.
The invention provides an arbitrary waveform generating device based on an integer order time domain Talbot effect, which is characterized in that under the structure of the integer order time domain Talbot effect, a Gaussian optical pulse sequence is utilized to sample an input analog signal generated by a periodic analog radio frequency signal, the optical pulse sequence output after passing through a dispersion optical fiber with a first-order dispersion coefficient meeting the integer order time domain Talbot effect is periodic, the Gaussian pulse in each period is symmetrical along the central position in the period, the distance between each pair of optical pulses and the central position is related to the frequency of the input analog signal, and the pulse amplitude in each period is determined by the amplitude of the input analog signal. According to the relation between the input analog signal and the waveform of the system output pulse, the input analog signal generated by the periodic analog radio frequency signal is sampled by the Gaussian pulse train, and then the time interval of the system output pulse can be changed into the original fractional times through the dispersion optical fiber with the first-order dispersion coefficient related to the sampling period, so that the problem that the modulation is difficult due to the overhigh rate of the optical pulse sequence is solved, and the expected high-speed optical pulse time waveform is output at a lower rate. The system structure is of great significance to arbitrary time waveform generation.
Disclosure of Invention
The invention aims to solve the problems that the optical pulse rate is too high and the modulation of an expected signal is difficult in the prior art, and provides an arbitrary waveform generating device and method based on an integer order time domain Talbot effect. The invention provides a method for generating any pre-coded time waveform by adopting photonics, which is applied to signal processing and signal generation, can improve the energy utilization rate of signals and reduce loss. The invention samples the periodic analog radio frequency signal and then passes through the dispersion optical fiber which meets the integral order time domain Talbot effect. And pre-coding any time waveform according to the relationship between the frequency and the amplitude of the periodic analog radio frequency signal and the position and the amplitude of the optical pulse sequence output by the system, wherein the repetition frequency of the system output pulse is changed into integral multiple of the original frequency, and a high-speed output signal is obtained.
In order to achieve the technical purpose, the invention adopts the following technical scheme:
an arbitrary waveform generating device based on an integer order time domain Talbot effect comprises a narrow linewidth continuous optical laser, a radio frequency signal generator, a push-pull type Mach-Zehnder modulator, a dispersion optical fiber and a photoelectric detector; the narrow-linewidth continuous optical laser, the push-pull Mach-Zehnder modulator, the dispersion optical fiber and the photoelectric detector are connected in sequence; the radio frequency signal generator is connected with the push-pull Mach-Zehnder modulator; a Gaussian optical pulse sequence generated by a narrow-linewidth continuous optical laser and a periodic analog radio frequency signal generated by a radio frequency signal generator are simultaneously added into a push-pull type Mach-Zehnder modulator; in the push-pull Mach-Zehnder modulator, a periodic optical pulse sequence of the instantaneous frequency of the periodic analog radio frequency signal is obtained by sampling the periodic analog radio frequency signal by a Gaussian optical pulse sequence; the periodic optical pulse sequence enters a dispersion optical fiber with a first-order dispersion coefficient meeting an integral-order time domain Talbot effect; and outputting the optical pulse sequence through the dispersion optical fiber, and displaying the optical power of the output optical pulse sequence by the photoelectric detector.
Further, the frequency of the periodic analog radio frequency signal is less than or equal to 1/2 times the repetition frequency of the Gaussian pulse train generated by the narrow-linewidth continuous optical laser.
Further, the frequency of the periodic analog radio frequency signal
Wherein, Δ t2Is outputtedA sequence of light pulses, the distance of each pair of light pulses from a central position;
is the first order dispersion coefficient of the dispersive optical fiber; periodic analog radio frequency signal amplitude mr＝2hr(ii) a Wherein h isrFor the output optical pulse train, the pulse amplitude value in each period.
Furthermore, the modulation of the push-pull Mach-Zehnder modulator on the periodic analog radio-frequency signal is partial carrier suppression modulation; the push-pull type Mach-Zehnder modulator is used for obtaining a symmetrical time waveform for double-sideband modulation of partial carrier suppression of the periodic analog radio frequency signal; the push-pull type Mach-Zehnder modulator is used for obtaining an asymmetric time waveform through single-sideband modulation of the periodic analog radio frequency signal partial carrier suppression.
Further, the first order dispersion coefficient of the dispersion fiber
Wherein, T0Is the repetition period of the Gaussian light pulse sequence.
The invention also provides an arbitrary waveform generation method based on the integral order time domain Talbot effect, which comprises the following steps,
s1: a Gaussian optical pulse sequence generated by a narrow-linewidth continuous optical laser and a periodic analog radio frequency signal generated by a radio frequency signal generator are simultaneously added into a push-pull type Mach-Zehnder modulator;
s2: in the push-pull Mach-Zehnder modulator, a periodic optical pulse sequence of the instantaneous frequency of the periodic analog radio frequency signal is obtained by sampling the periodic analog radio frequency signal by a Gaussian optical pulse sequence; the push-pull type Mach-Zehnder modulator is used for carrying out suppression modulation on a part of the periodic analog radio-frequency signal;
s3: the periodic optical pulse sequence enters a dispersion optical fiber with a first-order dispersion coefficient meeting an integral-order time domain Talbot effect;
s4: and outputting an optical pulse sequence through the dispersive optical fiber, wherein the optical power of the optical pulse sequence is displayed on a photoelectric detector.
Further, in step S1, the frequency of the periodic analog rf signal is less than or equal to 1/2 times the repetition frequency of the gaussian pulse train generated by the narrow-linewidth continuous optical laser.
Further, in step S1, the frequency of the periodic analog rf signal
Wherein, Δ t2For the output optical pulse train, the distance of each pair of optical pulses from the center position;
is the first order dispersion coefficient of the dispersive optical fiber; periodic analog radio frequency signal amplitude mr＝2hr(ii) a Wherein h isrFor the output optical pulse train, the pulse amplitude value in each period.
Further, in step S2, performing double-sideband modulation on the periodic analog radio frequency signal to obtain a symmetric time waveform; and carrying out single-sideband modulation on the periodic analog radio frequency signal part carrier suppression to obtain an asymmetric time waveform.
Further, in step S3, the first-order dispersion coefficient of the dispersion fiber is
Wherein, T0Is the repetition period of the Gaussian light pulse sequence.
Compared with the prior art, the invention has the beneficial technical effects that:
compared with the existing scheme for generating arbitrary waveforms, on one hand, the invention solves the bottleneck that the traditional electro-optical modulator is difficult to generate high-speed signals due to the limited bandwidth, and simultaneously improves the energy utilization rate; on the other hand, according to the relation between the output optical pulse sequence and the input periodic analog radio frequency signal, an expected ideal output time waveform is generated, the frequency and the amplitude of the periodic analog radio frequency signal are obtained through calculation, the calculation is simple, the operation is convenient, and the complexity of generating any signal is reduced.
Drawings
FIG. 1 is a schematic structural diagram of an arbitrary waveform generating device based on an integer-order time domain Talbot effect according to the present invention;
FIG. 2 is a simulation diagram of an arbitrary waveform generating device based on an integer-order time domain Talbot effect, which is provided by the invention, after sampling a periodic analog radio frequency signal by a Gaussian pulse sequence by using matlab;
fig. 3 is a simulation diagram of the arbitrary waveform generating device for the integer-order time domain Talbot effect according to the present invention, which generates a triangular wave with a pulse sequence envelope as a period by using matlab.
In the figure, 1 narrow linewidth continuous optical laser, 2 radio frequency signal generator, 3 push-pull type Mach-Zehnder modulator, 4 dispersive optical fiber and 5 photoelectric detector.
Detailed Description
The invention will be further described with reference to specific examples, but the scope of the invention is not limited thereto.
Example one
As shown in fig. 1, the arbitrary waveform generating device based on the integer-order time domain Talbot effect in this embodiment includes a narrow-linewidth continuous optical laser 1, a radio frequency signal generator 2, a push-pull mach-zehnder modulator 3, a dispersive optical fiber 4, and a photodetector 5. The narrow linewidth continuous optical laser 1, the push-pull Mach-Zehnder modulator 3, the dispersion optical fiber 4 and the photoelectric detector 5 are connected in sequence. The radio frequency signal generator 2 is connected to the push-pull mach-zehnder modulator 3. The narrow linewidth continuous optical laser 1 continuously generates a repeating periodic sequence of gaussian optical pulses. The radio frequency signal generator 2 generates a plurality of paths of periodic analog radio frequency signals with different frequencies. The Gaussian optical pulse sequence and the periodic analog radio frequency signal are added into the push-pull type Mach-Zehnder modulator 3 at the same time. In the push-pull mach-zehnder modulator 3, the periodic analog radio-frequency signal is sampled by the gaussian optical pulse sequence to obtain a periodic optical pulse sequence of the instantaneous frequency of the periodic analog radio-frequency signal, and the waveform of the periodic optical pulse sequence is shown in fig. 2. The periodic optical pulse sequence enters a dispersion optical fiber 4 with a first-order dispersion coefficient meeting the integral-order time domain Talbot effect, and the optical pulse sequence is output through the dispersion optical fiber 4. The photodetector 5 displays the optical power of the output optical pulse train. The push-pull mach-zehnder modulator 3 is composed of an upper arm phase modulator and a phase modulator with 180-degree phase shift on the upper arm of the lower arm. In this embodiment, the periodic analog rf signal is an input analog signal, which may also be referred to as an input signal or an analog signal. The optical pulse train is output as an output signal via the dispersive fiber 4. Compared with the existing scheme, the method for generating the arbitrary optical pulse time waveform by using the integral-order time domain Talbot effect is provided, the problem that the input signal is a discrete signal in the existing scheme is solved, the operation is simple, and the efficiency is high.
In this embodiment, under the structure of the integer order time domain Talbot effect, a gaussian optical pulse sequence is used to sample an input analog signal generated by a periodic analog radio frequency signal, the output optical pulse sequence is periodic after passing through a dispersion fiber 4 whose first-order dispersion coefficient satisfies the integer order time domain Talbot effect, on the time domain, the gaussian pulse in each period is symmetrical along the central position in the period where the gaussian pulse is located, the distance between each pair of optical pulses and the central position is related to the frequency of the input analog signal, and the pulse amplitude in each period is determined by the amplitude of the input analog signal. By utilizing the relationship between the position and the amplitude of the output optical pulse train and the frequency and the amplitude of the input periodic analog radio frequency signal, namely, by calculating the frequency and the amplitude of the input signal required by the expected output waveform, the arbitrary time waveform can be output. The embodiment provides a new method for generating and processing any time waveform of the optical pulse sequence, and increases the flexibility of generating any signal; the time interval of the system output pulse can be changed into the original fractional times, the problem of difficult modulation due to the overhigh rate of the optical pulse sequence can be solved, and the system has the advantages of simple frame structure and high energy utilization rate.
According to the relation between the input analog signal and the waveform of the system output pulse, the input analog signal generated by the periodic analog radio frequency signal is sampled by the Gaussian pulse train, and then the input analog signal passes through the dispersion fiber 4 with the first-order dispersion coefficient related to the sampling period, so that the time interval of the system output pulse can be changed into the original fractional time, the problem that the modulation is difficult due to overhigh speed of the optical pulse sequence is solved, the expected high-speed optical pulse time waveform is output at a lower speed, and the method has important significance for generating any time waveform. Compared with the existing scheme for generating arbitrary waveforms, the method solves the bottleneck that the traditional electro-optical modulator is difficult to generate high-speed signals due to limited bandwidth, and improves the energy utilization rate; on the other hand, according to the relation between the output pulse signal and the input analog signal, an expected ideal output time waveform is generated, the frequency and the amplitude of the periodic analog radio frequency signal are obtained through calculation, the calculation is simple, the operation is convenient, and the complexity of generating any signal is reduced.
The frequency of the periodic analog radio frequency signal is less than or equal to 1/2 times the gaussian pulse train repetition frequency generated by the narrow linewidth continuous optical laser 1. The frequency and amplitude of the periodic analogue radio frequency signal generated by the radio frequency signal generator 2 is determined by the desired waveform. In particular the frequency of a periodic analogue radio frequency signal
Δt2For the output optical pulse train, the distance of each pair of optical pulses from the center position;
the first order dispersion coefficient of the dispersive optical fiber 4. Periodic analog radio frequency signal amplitude mr＝2hr，hrFor the output optical pulse train, the pulse amplitude value in each period. In order to obtain a pulse sequence enveloped by a periodic triangular wave, the frequency and amplitude of the multipath periodic analog radio frequency signal are obtained by calculation according to the relationship between the frequency and amplitude of the periodic analog radio frequency signal and the optical pulse sequence output after the dispersion medium, the distance between each pair of optical pulses and the center position and the pulse amplitude in each period. The pulse sequence generated by the transmission of this embodiment with an envelope of a periodic triangular wave is shown in fig. 3.
The modulation of the periodic analog radio frequency signal by the push-pull mach-zehnder modulator 3 is partial carrier suppression modulation, and the purpose is to ensure that the power of output pulse light caused by a direct current component at the center position of each period is controlled. The push-pull mach-zehnder modulator 3 is used to obtain a symmetrical time waveform for double-sideband modulation of the periodic analog radio frequency signal partial carrier suppression. The push-pull mach-zehnder modulator 3 is used for obtaining an asymmetric time waveform for single-sideband modulation of the periodic analog radio frequency signal partial carrier suppression.
The first-order dispersion coefficient of the dispersion fiber 4 satisfies the condition of integral-order time domain Talbot effect and the repetition period T of the Gaussian pulse sequence0In this regard, the repetition period of the gaussian pulse train is equal to the period of the sampling signal. In particular the first order dispersion coefficient of the dispersive optical fiber 4
T0Is the repetition period of the Gaussian light pulse sequence.
Example two
Corresponding to the above-mentioned arbitrary waveform generating device based on the integer-order time domain Talbot effect, the present embodiment further provides an arbitrary waveform generating method based on the integer-order time domain Talbot effect, comprising the following steps,
s1: a Gaussian optical pulse sequence generated by a narrow-linewidth continuous optical laser and a periodic analog radio frequency signal generated by a radio frequency signal generator are simultaneously added into a push-pull type Mach-Zehnder modulator;
s2: in the push-pull Mach-Zehnder modulator, a periodic optical pulse sequence of the instantaneous frequency of the periodic analog radio frequency signal is obtained by sampling the periodic analog radio frequency signal by a Gaussian optical pulse sequence; the push-pull type Mach-Zehnder modulator is used for carrying out suppression modulation on a part of the periodic analog radio-frequency signal;
s3: the periodic optical pulse sequence enters a dispersion optical fiber with a first-order dispersion coefficient meeting an integral-order time domain Talbot effect;
s4: and outputting an optical pulse sequence through the dispersive optical fiber, wherein the optical power of the optical pulse sequence is displayed on a photoelectric detector. That is, the optical power of the optical pulse sequence in the time domain is output after passing through the photodetector, and the time envelope of the periodic gaussian pulse train satisfies the expected time waveform.
In step S1, the frequency of the periodic analog rf signal is less than or equal to the repetition frequency of the gaussian pulse train generated by the narrow linewidth continuous optical laserThe ratio was 1/2 times. The frequency and amplitude of the periodic analog radio frequency signal is determined by the desired waveform. In particular the frequency of a periodic analogue radio frequency signal
Δt2For the output optical pulse train, the distance of each pair of optical pulses from the center position;
the first order dispersion coefficient of the dispersive optical fiber. Periodic analog radio frequency signal amplitude mr＝2hr，hrFor the output optical pulse train, the pulse amplitude value in each period. In step S2, symmetric time waveforms can be obtained by performing double-sideband modulation on the periodic analog radio frequency signal with partial carrier suppression; asymmetric time waveforms can be obtained for single sideband modulation with partial carrier suppression of periodic analog radio frequency signals. In step S3, the first order dispersion coefficient of the dispersion fiber and the repetition period T of the gaussian optical pulse train0It is related. In particular, the first-order dispersion coefficient of the dispersive optical fiber is
T0Is the repetition period of the Gaussian light pulse sequence.
The principles of the first embodiment and the second embodiment are as follows:
the narrow linewidth continuous light laser generates single light pulse in Gaussian form, the single Gaussian light pulse is represented by g (t),
g(t)＝exp(-t2/2τ0 2)
wherein, tau0Is the half width at 1/e of the maximum amplitude of the Gaussian light pulse, and t is time.
G for Gaussian optical pulse trainT(t) expressed by Fourier series expansion,
wherein, gkAre the discrete fourier coefficients of the burst,
T0the repetition period of the Gaussian light pulse sequence; j is the phase difference of 90 degrees; k is the order of the pulse sequence.
Then the Gaussian pulse sequence gTAnd (t) simultaneously adding the periodic analog radio frequency signal and the push-pull Mach-Zehnder modulator. The periodic optical pulse sequence output by modulation passes through a dispersion optical fiber, the corresponding pulse response of the dispersion optical fiber is represented by h (t),
wherein the content of the first and second substances,
first order dispersion coefficient representing it, and period T of the sampled signal0In connection with, i.e. with
Optical pulse train e output from systemD(t) represents a number of times,
wherein e isM(t) is a signal obtained by sampling a periodic analog radio frequency signal by a Gaussian optical pulse sequence, i.e. eM(t)＝mrcos(ωmt)·gT(t) represents the convolution between the signals, ωmWhich represents the frequency of the input analog signal,
mrrepresenting the amplitude of the periodic analog radio frequency signal.
By the nature of convolution, the final output optical pulse sequence can be reduced to:
the above formula shows that the pulse of the input periodic gaussian pulse train passing through the dispersive optical fiber can generate two pulse pairs which are symmetrical according to the central position in the period, and the pulse pairs can also be generated in the time domain
The delay of (2). Therefore, the amplitude and the frequency of the input periodic analog radio frequency signal are changed so as to respectively control the corresponding amplitude and the position of the output pulse. Multipath periodic analog radio frequency signals are added, and the system can precode pulses to generate any time waveform.
While the embodiments of the present invention have been described in detail, it will be apparent to those skilled in the art that variations may be made in the embodiments without departing from the spirit of the invention, and such variations are to be considered within the scope of the invention.
Claims (10)
1. An arbitrary waveform generating device based on an integer order time domain Talbot effect is characterized in that:
the device comprises a narrow-linewidth continuous optical laser (1), a radio frequency signal generator (2), a push-pull type Mach-Zehnder modulator (3), a dispersion optical fiber (4) and a photoelectric detector (5);
the narrow-linewidth continuous optical laser (1), the push-pull Mach-Zehnder modulator (3), the dispersion optical fiber (4) and the photoelectric detector (5) are sequentially connected; the radio frequency signal generator (2) is connected with the push-pull Mach-Zehnder modulator (3); a Gaussian optical pulse sequence generated by the narrow-linewidth continuous optical laser (1) and a periodic analog radio frequency signal generated by the radio frequency signal generator (2) are simultaneously added into the push-pull Mach-Zehnder modulator (3); in the push-pull Mach-Zehnder modulator (3), a periodic optical pulse sequence of the instantaneous frequency of the periodic analog radio frequency signal is obtained by sampling the periodic analog radio frequency signal by a Gaussian optical pulse sequence; the periodic optical pulse sequence enters a dispersion optical fiber (4) with a first-order dispersion coefficient meeting the integral-order time domain Talbot effect; the optical pulse sequence is output through the dispersion optical fiber (4), and the optical power of the output optical pulse sequence is displayed by the photoelectric detector (5).
2. The apparatus according to claim 1, wherein: the frequency of the periodic analog radio frequency signal is less than or equal to 1/2 times of the Gaussian pulse train repetition frequency generated by the narrow linewidth continuous optical laser (1).
3. The apparatus according to claim 1, wherein:
frequency of periodic analog radio frequency signal
Wherein, Δ t2For the output optical pulse train, the distance of each pair of optical pulses from the center position;
is the first order dispersion coefficient of the dispersive optical fiber (4);
periodic analog radio frequency signal amplitude mr＝2hr(ii) a Wherein h isrFor the output optical pulse train, the pulse amplitude value in each period.
4. The apparatus according to claim 1, wherein: the modulation of the push-pull Mach-Zehnder modulator (3) on the periodic analog radio-frequency signal is partial carrier suppression modulation; the push-pull type Mach-Zehnder modulator (3) is used for obtaining a symmetrical time waveform for double-sideband modulation of partial carrier suppression of the periodic analog radio frequency signal; the push-pull Mach-Zehnder modulator (3) is used for obtaining an asymmetric time waveform for single-sideband modulation of periodic analog radio frequency signal partial carrier suppression.
5. The apparatus according to claim 1, wherein:
first order dispersion coefficient of dispersive optical fiber (4)
Wherein, T0Is the repetition period of the Gaussian light pulse sequence.
6. The method for generating the arbitrary waveform based on the integral-order time domain Talbot effect is characterized by comprising the following steps of,
s1: a Gaussian optical pulse sequence generated by a narrow-linewidth continuous optical laser and a periodic analog radio frequency signal generated by a radio frequency signal generator are simultaneously added into a push-pull type Mach-Zehnder modulator;
s2: in the push-pull Mach-Zehnder modulator, a periodic optical pulse sequence of the instantaneous frequency of the periodic analog radio frequency signal is obtained by sampling the periodic analog radio frequency signal by a Gaussian optical pulse sequence; the push-pull type Mach-Zehnder modulator is used for carrying out suppression modulation on a part of the periodic analog radio-frequency signal;
s3: the periodic optical pulse sequence enters a dispersion optical fiber with a first-order dispersion coefficient meeting an integral-order time domain Talbot effect;
s4: and outputting an optical pulse sequence through the dispersive optical fiber, wherein the optical power of the optical pulse sequence is displayed on a photoelectric detector.
7. The method of generating an arbitrary waveform based on the integer-order time-domain Talbot effect of claim 6, wherein:
in step S1, the frequency of the periodic analog rf signal is less than or equal to 1/2 times the repetition frequency of the gaussian pulse train generated by the narrow linewidth continuous optical laser.
8. The method of generating an arbitrary waveform based on the integer-order time-domain Talbot effect of claim 6, wherein:
in step S1, the frequency of the periodic analog rf signal
Wherein, Δ t2For the output optical pulse train, the distance of each pair of optical pulses from the center position;
is the first order dispersion coefficient of the dispersive optical fiber; periodic analog radio frequency signal amplitude mr＝2hr(ii) a Wherein h isrFor the output optical pulse train, the pulse amplitude value in each period.
9. The method of generating an arbitrary waveform based on the integer-order time-domain Talbot effect of claim 6, wherein:
in step S2, performing double-sideband modulation on the periodic analog radio frequency signal to obtain a symmetrical time waveform; and carrying out single-sideband modulation on the periodic analog radio frequency signal part carrier suppression to obtain an asymmetric time waveform.
10. The method of generating an arbitrary waveform based on the integer-order time-domain Talbot effect of claim 6, wherein:
in step S3, the first-order dispersion coefficient of the dispersion fiber is
Wherein, T0Is the repetition period of the Gaussian light pulse sequence.
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