CN113541806A - 16 frequency multiplication millimeter wave signal generation device and method based on parallel Mach-Zehnder modulator - Google Patents
16 frequency multiplication millimeter wave signal generation device and method based on parallel Mach-Zehnder modulator Download PDFInfo
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Abstract
The invention provides a 16 frequency multiplication millimeter wave signal generating device and method based on a parallel Mach-Zehnder modulator. The device includes: the continuous laser CW, a parallel Mach-Zehnder modulator formed by parallelly connecting MZM-1 and MZM-2, an optical carrier suppressor formed by cascading an optical attenuator OATT and an optical phase shifter PS, and a photoelectric detector PD; the optical signal output by the CW is divided into two paths through an optical beam splitter, one path is output to a port of a parallel Mach-Zehnder modulator, and the other path is output to a port of an optical carrier suppressor; a radio frequency driving signal RF is loaded to MZM-1 and MZM-2, an electric phase shifter is adjusted, the phase difference of the radio frequency driving signals input to the upper arm and the lower arm of MZM-1 and MZM-2 is pi, the direct current bias voltage is set to be 0, and MZM-2 works at the maximum transmission point; setting the phase of the PS as pi, adjusting the attenuation value of the OATT to inhibit the optical carrier output by the parallel Mach-Zehnder modulator, so that only 8-order sideband signals exist in the finally output optical signals, and generating 16 frequency multiplication millimeter wave signals through PD beat frequency.
Description
Technical Field
The invention relates to the technical field of microwave photon, mainly relates to the field of millimeter wave signal generation by utilizing microwave photon technology, and particularly relates to a 16-frequency multiplication millimeter wave signal generation device and method based on a parallel Mach-Zehnder modulator.
Background
The requirement for microwave signal frequency in practical applications such as satellite, radar, electronic warfare and next generation wireless communication is higher and higher, and in order to improve signal transmission rate and bandwidth, the working frequency of an electronic system needs to be developed towards a millimeter wave band. Due to the limited frequency response bandwidth and the non-linear factors of the electronic device, the phase noise of the signal is deteriorated and the phase drift is severe, so that the generation of millimeter wave signals above 100GHz has certain limitations. The method for generating microwave in the microwave photon system mainly utilizes two optical signals with different wavelengths to generate a high-frequency microwave signal through beat frequency of a photoelectric detection module, the frequency of the microwave signal is determined by the wavelength difference of the two optical signals, and a millimeter waveband signal is easier to obtain. The optical microwave technology is also increasingly applied to the fields of Radio Over Fiber (ROF) systems, radar systems, satellite communications and the like. Therefore, in recent years, a technique for generating millimeter waves in the optical field has received much attention from researchers.
At present, methods for generating millimeter waves by light mainly include an optical self-heterodyne method, Stimulated Brillouin Scattering (SBS), direct modulation, external modulation and the like, and the millimeter waves generated by the external modulation method have the characteristics of high reliability, low phase noise, tunable frequency and the like and are widely researched. At present, a 16-frequency doubling millimeter wave system generated based on external modulation generally adopts four cascaded Mach-Zehnder modulators (MZMs), the scheme needs to use a plurality of electric phase shifters to adjust and drive phase differences required among different MZM radio-frequency signals, and the requirement on the precision of phase control is high, so that the structure is complex.
Disclosure of Invention
Aiming at the problem of complex structure of the existing 16-frequency multiplication millimeter wave system, the invention provides a 16-frequency multiplication millimeter wave signal generating device and method based on a parallel Mach-Zehnder modulator, which can generate 16-frequency multiplication millimeter wave signals without introducing any optical or electric filter and have the advantages of high frequency multiplication times, low system complexity and the like.
In one aspect, the present invention provides a 16 frequency multiplication millimeter wave signal generating device based on a parallel mach-zehnder modulator, comprising: the continuous laser CW, a parallel Mach-Zehnder modulator formed by connecting a Mach-Zehnder modulator MZM-1 and a Mach-Zehnder modulator MZM-2 in parallel, an optical carrier suppressor formed by cascading an optical attenuator OATT and an optical phase shifter PS, and a photoelectric detector PD;
the optical signal output by the continuous laser CW is divided into two paths by an optical beam splitter, one path of optical signal is output to a port of a parallel Mach-Zehnder modulator, and the other path of optical signal is output to a port of an optical carrier suppressor; the radio frequency driving signal RF is loaded to MZM-1, the electric phase shifter is adjusted, the phase difference of the radio frequency driving signals input to the upper arm and the lower arm of MZM-1 is pi, and the radio frequency driving signal RF is phase shifted through the electric phase shifterThen loading the signals to MZM-2, adjusting an electric phase shifter to enable the phase difference of the radio frequency driving signals input to the upper arm and the lower arm of MZM-2 to be pi, setting the direct current bias voltage of MZM-1 and MZM-2 to be 0, and enabling MZM-2 to work at the maximum transmission point; setting the phase of the optical phase shifter PS as pi, adjusting the attenuation value of the optical attenuator OATT, and enabling the optical carrier suppressor to suppress the optical carrier output by the parallel Mach-Zehnder modulator, so that only 8-order sideband signals exist in the finally output optical signals; only the optical signal of the 8 th order sideband signal is subjected to beat frequency by the photoelectric detector PD to generate a 16-frequency-doubled millimeter wave signal.
On the other hand, the invention provides a 16 frequency multiplication millimeter wave signal generation method based on a parallel Mach-Zehnder modulator, which comprises the following steps:
step 1: an optical signal output by the continuous laser CW is divided into two paths through an optical beam splitter, one path of optical signal is output to a port of a parallel Mach-Zehnder modulator, and the other path of optical signal is output to a port of an optical carrier suppressor; the parallel Mach-Zehnder modulator is formed by connecting a Mach-Zehnder modulator MZM-1 and a Mach-Zehnder modulator MZM-2 in parallel, and the optical carrier suppressor is formed by cascading an optical attenuator OATT and an optical phase shifter PS;
step 2: the radio frequency driving signal RF is loaded to MZM-1, the electric phase shifter is adjusted, the phase difference of the radio frequency driving signals input to the upper arm and the lower arm of MZM-1 is pi, and the radio frequency driving signal RF is phase shifted through the electric phase shifterThen loading the phase difference to MZM-2, adjusting an electric phase shifter to enable the phase difference of the radio frequency driving signals input to the upper arm and the lower arm of MZM-2 to be pi; setting the direct current bias voltage of the MZM-1 and the MZM-2 to be 0, and enabling the MZM-2 to work at the maximum transmission point;
and step 3: setting the phase of the optical phase shifter PS as pi, adjusting the attenuation value of the optical attenuator OATT, and enabling the optical carrier suppressor to suppress the optical carrier output by the parallel MZM, so that only 8-order sideband signals exist in the finally output optical signals, and only the optical signals of the 8-order sideband signals generate 16 frequency doubling millimeter wave signals through the beat frequency of the photoelectric detector PD.
Further, in step 1, the optical signal output by the continuous laser CW is Ei(t)=E0exp(jwct) in which E0And wcThe amplitude and angular frequency of the optical signal, respectively, the index i representing the input, t the time, j the imaginary number;
in step 2, the radio frequency driving signals loaded to MZM-1 and MZM-2 are v respectively1(t)=vmsin(wmt) andwherein v ismAnd wmRespectively the amplitude and the angular frequency of the radio frequency drive signal RF,light output by parallel Mach-Zehnder modulatorsThe signal expression is
Wherein,denotes the modulation index, vπRepresents the half-wave voltage of the Mach-Zehnder modulator, and alpha is the insertion loss of the Mach-Zehnder modulator;
according to Bessel functionSimplification of equation (1), Jn(m) is a first class of n-th order Bessel function, then equation (1) is reduced to
In step 3, the optical signal entering the optical carrier suppressor passes through the optical attenuator, the optical power is attenuated by adjusting the attenuation value of the optical attenuator OATT, then the phase is shifted through the optical phase shifter PS, and the expression of the optical signal output by the optical carrier suppressor is
Wherein eta is the attenuation coefficient of the optical attenuator,which is the phase of the optical phase shifter,
optical signal E output by parallel Mach-Zehnder modulatorAout(t) and the optical signal E output by the optical carrier suppressorBout(t) the optical signal output after passing through the optical coupler has the expression
The expression of generating 16 frequency multiplication millimeter wave signals through PD beat frequency of the photoelectric detector is
Where R is the responsivity of the photodetector.
Further, the modulation index m is 7.585.
The invention has the beneficial effects that:
the device and the method for generating the 16 frequency doubling millimeter wave signals based on the parallel Mach-Zehnder modulator do not introduce any optical or electrical filter, generate optical carriers and required 8-order sideband signals by modulating radio frequency driving signals onto two parallel MZMs, realize the suppression of the optical carriers by adjusting the attenuation value of an optical attenuator and the phase of an optical phase shifter, only leave the required 8-order sideband signals, and obtain the 16 frequency doubling millimeter wave signals by beat frequency of a photoelectric detector.
Drawings
Fig. 1 is a model block diagram of a 16-frequency multiplication millimeter wave signal generation device based on a parallel mach-zehnder modulator according to an embodiment of the present invention;
fig. 2 is a spectral diagram or an electrical spectral diagram of optical signals output by the 16-frequency multiplication millimeter wave signal generating device based on the parallel mach-zehnder modulator at a point a, a point B, a point C, and a point D according to the embodiment of the present invention.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention clearer, the technical solutions in the embodiments of the present invention will be clearly described below with reference to the accompanying drawings in the embodiments of the present invention, and it is obvious that the described embodiments are some, but not all, embodiments of the present invention. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
The embodiment of the invention provides a 16 frequency multiplication millimeter wave signal generating device based on a parallel Mach-Zehnder modulator, a model block diagram of the device is shown in figure 1, and the device comprises: the continuous laser CW, a parallel Mach-Zehnder modulator formed by connecting a Mach-Zehnder modulator MZM-1 and a Mach-Zehnder modulator MZM-2 in parallel, an optical carrier suppressor formed by cascading an optical attenuator OATT and an optical phase shifter PS, and a photoelectric detector PD;
the optical signal output by the continuous laser CW is divided into two paths by an optical beam splitter, one path of optical signal is output to a port of a parallel Mach-Zehnder modulator, and the other path of optical signal is output to a port of an optical carrier suppressor;
specifically, the above process may be implemented by two optical splitters, specifically: an optical signal output by the continuous laser CW is divided into two paths of optical signals through a first optical beam splitter, wherein one path of optical signal is output to a port of a parallel Mach-Zehnder modulator, and the other path of optical signal is output to a port of an optical carrier suppressor; and then, the optical signal input to the port of the parallel Mach-Zehnder modulator is divided into two optical signals again through the second optical beam splitter, one optical signal is output to MZM-1, and the other optical signal is output to MZM-2. The power distribution ratio of the two optical beam splitters is set to be 1: 1.
the radio frequency driving signal RF is loaded to MZM-1, the electric phase shifter is adjusted, the phase difference of the radio frequency driving signals input to the upper arm and the lower arm of MZM-1 is pi, and the radio frequency driving signal RF is phase shifted through the electric phase shifterThen loading the signals to MZM-2, adjusting an electric phase shifter to enable the phase difference of the radio frequency driving signals input to the upper arm and the lower arm of MZM-2 to be pi, setting the direct current bias voltage of MZM-1 and MZM-2 to be 0, and enabling MZM-2 to work at the maximum transmission point;
setting the phase of an optical phase shifter PS as pi, adjusting the attenuation value of an optical attenuator OATT, and enabling an optical carrier suppressor to suppress optical carriers output by a parallel Mach-Zehnder modulator so that only 8-order sideband signals exist in finally output optical signals; only the optical signal of the 8 th order sideband signal is subjected to beat frequency by the photoelectric detector PD to generate a 16-frequency-doubled millimeter wave signal.
Correspondingly, the embodiment of the invention also provides a method for generating 16 frequency multiplication millimeter wave signals based on the parallel Mach-Zehnder modulator, which comprises the following steps:
s101: an optical signal output by the continuous laser CW is divided into two paths through an optical beam splitter, one path of optical signal is output to a port of a parallel Mach-Zehnder modulator, and the other path of optical signal is output to a port of an optical carrier suppressor; the parallel Mach-Zehnder modulator is formed by connecting a Mach-Zehnder modulator MZM-1 and a Mach-Zehnder modulator MZM-2 in parallel, and the optical carrier suppressor is formed by cascading an optical attenuator OATT and an optical phase shifter PS;
s102: the radio frequency driving signal RF is loaded to MZM-1, the electric phase shifter is adjusted, the phase difference of the radio frequency driving signals input to the upper arm and the lower arm of MZM-1 is pi, and the radio frequency driving signal RF is phase shifted through the electric phase shifterThen loading the phase difference to MZM-2, adjusting an electric phase shifter to enable the phase difference of the radio frequency driving signals input to the upper arm and the lower arm of MZM-2 to be pi; setting the direct current bias voltage of the MZM-1 and the MZM-2 to be 0, and enabling the MZM-2 to work at the maximum transmission point;
s103: setting the phase of the optical phase shifter PS as pi, adjusting the attenuation value of the optical attenuator OATT, and enabling the optical carrier suppressor to suppress the optical carrier output by the parallel MZM, so that only 8-order sideband signals exist in the finally output optical signals, and only the optical signals of the 8-order sideband signals generate 16 frequency doubling millimeter wave signals through the beat frequency of the photoelectric detector PD.
Specifically, in step S101, the optical signal output by the continuous laser CW is divided into two paths by the optical splitter, and one path is output to the port of the parallel mach-zehnder modulator and modulated by the radio frequency signal. And the other path of the optical carrier signal is output to an optical attenuator and an optical phase shifter, the phase of the optical phase shifter is set to pi, the attenuation value of the optical attenuator is adjusted, and an unmodulated optical carrier signal which is equal to the power of the carrier signal in the optical signal output by the parallel MZM and has the opposite phase is output. As indicated by points a and B in fig. 1.
In step S102, the optical signal output by the parallel MZM mainly includes wcAnd wc±nwmFrequency. Wherein wcAnd wmRespectively, the frequencies of the optical carrier and the radio frequency drive signal. Setting the modulation index and the direct current bias voltage of the parallel MZM so that the optical signal output by the parallel MZM only comprises the frequency wcAnd wc±8wmThe optical frequency component of (1).
As indicated by point a in fig. 1;
frequency w in step S103cAfter passing through the optical attenuator and the phase shifter, the output optical signal is equal to and opposite to the zero-order optical sideband of the parallel MZM output signal, as shown by point B in fig. 1. And finally, after the optical signal output by the optical carrier suppressor and the optical signal output by the parallel MZM pass through the optical coupler, the frequency component of the output signal of the optical coupler is only wc+8wmAnd wc-8wmAs indicated by point C in fig. 1, and then output to the photodetector for photoelectric conversion, and output 16 frequency-doubled millimeter wave signals as indicated by point D in fig. 1.
On the basis of the above embodiment, the present invention further provides a method for generating 16 frequency-doubled millimeter wave signals based on a parallel mach-zehnder modulator, comprising the following steps:
s201: the optical signal output by the continuous laser CW is Ei(t)=E0exp(jwct) in which E0And wcThe amplitude and angular frequency of the optical signal, respectively, the index i indicates the input, t the time, j the imaginary number. The optical signal output by the laser is divided into two beams of signals with equal power through an optical beam splitter, one beam is loaded on the parallel MZM and modulated by a radio frequency driving signal, and the other beam passes through an optical attenuator and an optical phase shifter, so that an unmodulated optical carrier signal with equal power and opposite phase to an optical carrier signal output by the parallel MZM is output.
S202: the optical signal enters the parallel MZM, and a radio frequency signal RF is loaded on an electrode of the MZM to modulate an optical carrier. The method specifically comprises the following steps: making the upper and lower arms of MZM-1 and MZM-2 by means of electric phase shiftersThe phase difference of the driving signals is pi, and the radio frequency driving signals for driving MZM-1 and MZM-2 are v respectively1(t)=vmsin(wmt) andwherein v ismAnd wmRespectively the amplitude and angular frequency of the radio frequency signal,is the phase shift difference of the radio frequency drive signal between MZM-1 and MZM-2. And setting the direct current bias voltage of the MZM-1 and the MZM-2 to be 0, so that the parallel MZM works at the maximum transmission point. The optical signal output by the parallel MZM (i.e. the output optical signal at point a in fig. 1) is expressed as
Wherein,denotes the modulation index, vπRepresenting the half-wave voltage of the MZM, α is the modulator insertion loss.
According to Bessel functionSimplification of the above formula (1), Jn(m) is a first class of n-th order Bessel function, then equation (1) is reduced to
The spectrum of the optical signal output from point a is shown in fig. 2(a), the optical signal output from the parallel MZM only includes 4 n-order sidebands, and the optical signal output from the parallel MZM only includes a frequency wcAnd wc±8wmThe optical frequency component of (1). Regulating modulation index m to 7.585, and obtaining J according to the first n-order Bessel function curve4(m) is 0, i.e. eliminating the fourth order sidebands, and when n > 12, Jn(m) approximately equal to 0, output optical signalThe signal mainly comprises an optical carrier, 8-order and 12-order sideband signals, wherein the power of the optical carrier and the 8-order sideband is far larger than that of the 12-order sideband.
S203: the optical signal enters the optical carrier wave suppressor, specifically: the optical signal passes through the optical attenuator, the optical power is attenuated by adjusting the attenuation value of the optical attenuator, and then the phase of the optical signal is shifted through the optical phase shifter. The optical signal output by the optical carrier wave suppressor (i.e. the output optical signal at point B in FIG. 1) is expressed as
Wherein eta is the attenuation coefficient of the optical attenuator,the phase of the optical phase shifter. Phase shift angle of optical phase shifterAnd setting the value to pi, adjusting the attenuation value of the optical attenuator to make the power of the output optical signal equal to the power of the carrier wave of the output optical signal in the parallel MZM, wherein the spectrogram of the optical signal output at the point B is shown in FIG. 2 (B).
After optical signals output by the parallel MZM and the optical attenuator pass through the optical coupler, unnecessary optical carriers of the system can be suppressed, namely: optical signal E output by parallel Mach-Zehnder modulatorAout(t) and the optical signal E output by the optical carrier suppressorBout(t) the optical signal output after passing through the optical coupler (i.e., the output optical signal at point C in FIG. 1) has the expression
The spectrum of the optical signal output from point C is shown in FIG. 2(C), the optical signal only contains 8-order sideband and 12-order sideband, and the suppression ratio of the 8-order sideband to the twelve-order sidebandI.e., 12 th order sidebands have less effect on 8 th order sidebands. The optical signal output by the point C enters a photoelectric detector for square law detection, the influence of detection noise is ignored, and the expression of generating 16-frequency-doubling millimeter wave signals through the PD beat frequency of the photoelectric detector is
Wherein R is the responsivity of the photodetector, and the electric spectrum of the millimeter wave signal output by PD beat frequency with an extinction ratio of 100db is shown in fig. 2 (d). The formula (5) shows that the output photocurrent mainly includes 5 frequency components, wherein 16 times of frequency is millimeter wave signals required by the system, and other frequencies are stray waves. The Radio Frequency Stray wave Suppression Ratio (RFSSR) expression of the millimeter wave signal of 160GHz to other Stray wave Frequency components is
As can be seen from the formula (6), the RFSSR of the 16-frequency-doubled millimeter wave signal to the 4-frequency-doubled millimeter wave signal and the RFSSR of the 20-frequency-doubled millimeter wave signal are both 23.92dB, the rejection ratio of the 24-frequency-doubled millimeter wave signal reaches 59.86dB, and the output electric signal basically does not contain 240GHz frequency components. Finally, a high-performance 16-frequency-doubling millimeter wave signal is output through square-law detection of a photoelectric detector.
Finally, it should be noted that: the above examples are only intended to illustrate the technical solution of the present invention, but not to limit it; although the present invention has been described in detail with reference to the foregoing embodiments, it will be understood by those of ordinary skill in the art that: the technical solutions described in the foregoing embodiments may still be modified, or some technical features may be equivalently replaced; and such modifications or substitutions do not depart from the spirit and scope of the corresponding technical solutions of the embodiments of the present invention.
Claims (4)
1. 16 frequency multiplication millimeter wave signal generating device based on parallel Mach-Zehnder modulator, characterized by comprising: the continuous laser CW, a parallel Mach-Zehnder modulator formed by connecting a Mach-Zehnder modulator MZM-1 and a Mach-Zehnder modulator MZM-2 in parallel, an optical carrier suppressor formed by cascading an optical attenuator OATT and an optical phase shifter PS, and a photoelectric detector PD;
the optical signal output by the continuous laser CW is divided into two paths by an optical beam splitter, one path of optical signal is output to a port of a parallel Mach-Zehnder modulator, and the other path of optical signal is output to a port of an optical carrier suppressor; the radio frequency driving signal RF is loaded to MZM-1, the electric phase shifter is adjusted, the phase difference of the radio frequency driving signals input to the upper arm and the lower arm of MZM-1 is pi, and the radio frequency driving signal RF is phase shifted through the electric phase shifterThen loading the signals to MZM-2, adjusting an electric phase shifter to enable the phase difference of the radio frequency driving signals input to the upper arm and the lower arm of MZM-2 to be pi, setting the direct current bias voltage of MZM-1 and MZM-2 to be 0, and enabling MZM-2 to work at the maximum transmission point; setting the phase of the optical phase shifter PS as pi, adjusting the attenuation value of the optical attenuator OATT, and enabling the optical carrier suppressor to suppress the optical carrier output by the parallel Mach-Zehnder modulator, so that only 8-order sideband signals exist in the finally output optical signals; only the optical signal of the 8 th order sideband signal is subjected to beat frequency by the photoelectric detector PD to generate a 16-frequency-doubled millimeter wave signal.
2. The method for generating the 16 frequency multiplication millimeter wave signal based on the parallel Mach-Zehnder modulator is characterized by comprising the following steps:
step 1: an optical signal output by the continuous laser CW is divided into two paths through an optical beam splitter, one path of optical signal is output to a port of a parallel Mach-Zehnder modulator, and the other path of optical signal is output to a port of an optical carrier suppressor; the parallel Mach-Zehnder modulator is formed by connecting a Mach-Zehnder modulator MZM-1 and a Mach-Zehnder modulator MZM-2 in parallel, and the optical carrier suppressor is formed by cascading an optical attenuator OATT and an optical phase shifter PS;
step 2: RF drive signal RF is applied to MZM-1 to adjust the powerA phase shifter for making the phase difference of the RF drive signals inputted into the upper and lower arms of MZM-1 be pi, and the RF drive signals RF are phase-shifted by the electric phase shifterThen loading the phase difference to MZM-2, adjusting an electric phase shifter to enable the phase difference of the radio frequency driving signals input to the upper arm and the lower arm of MZM-2 to be pi; setting the direct current bias voltage of the MZM-1 and the MZM-2 to be 0, and enabling the MZM-2 to work at the maximum transmission point;
and step 3: setting the phase of the optical phase shifter PS as pi, adjusting the attenuation value of the optical attenuator OATT, and enabling the optical carrier suppressor to suppress the optical carrier output by the parallel MZM, so that only 8-order sideband signals exist in the finally output optical signals, and only the optical signals of the 8-order sideband signals generate 16 frequency doubling millimeter wave signals through the beat frequency of the photoelectric detector PD.
3. The method for generating 16 times frequency millimeter wave signals based on a parallel Mach-Zehnder modulator according to claim 2,
in step 1, the optical signal output by the continuous laser CW is Ei(t)=E0exp(jwct), where E0 and wc are the amplitude and angular frequency of the optical signal, respectively, the index i representing the input, t representing time, j representing an imaginary number;
in step 2, the radio frequency driving signals loaded to MZM-1 and MZM-2 are v respectively1(t)=vmsin(wmt) andwherein v ismAnd wmRespectively the amplitude and the angular frequency of the radio frequency drive signal RF,the expression of the optical signal output by the parallel Mach-Zehnder modulator is
Wherein,denotes the modulation index, vπRepresents the half-wave voltage of the Mach-Zehnder modulator, and alpha is the insertion loss of the Mach-Zehnder modulator;
according to Bessel functionSimplification of equation (1), Jn(m) is a first class of n-th order Bessel function, then equation (1) is reduced to
In step 3, the optical signal entering the optical carrier suppressor passes through the optical attenuator, the optical power is attenuated by adjusting the attenuation value of the optical attenuator OATT, then the phase is shifted through the optical phase shifter PS, and the expression of the optical signal output by the optical carrier suppressor is
Wherein eta is the attenuation coefficient of the optical attenuator,which is the phase of the optical phase shifter,
optical signal E output by parallel Mach-Zehnder modulatorAout(t) and the optical signal E output by the optical carrier suppressorBout(t) the optical signal output after passing through the optical coupler has the expression
The expression of generating 16 frequency multiplication millimeter wave signals through PD beat frequency of the photoelectric detector is
Where R is the responsivity of the photodetector.
4. The method for generating 16 frequency-doubled millimeter-wave signals based on parallel Mach-Zehnder modulators of claim 3, wherein the modulation index m is 7.585.
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