Injection Locking of Klystron Oscillators

If certain criteria are met, a microwave oscillator may be synchronized by the injection of a controlling signal into the oscillator cavity. Synchronization is dependent upon oscillator circuit parameters, the ratio of injected power to oscillator power, and frequency difference between the free-running oscillator and the injection signal. Locking has been observed with injection signals 70 db below the oscillator output and 30-db ratios have been demonstrated to be easily realizable. Injection locking may be considered a form of amplification that permits taking advantage of the fact that microwave oscillators are smafler, lighter, less expensive and more efficient than amplifier devices. The low-frequency theory of Adler is shown to describe accurately the locking phenomena in reflex klystron oscillators and the transient response is extended to determine limitations on the amplification of modulated signals. Experimental verification of the theory is shown for 180/spl deg/ phase modulation of the locking signal at rates up to 100 kc for a VA-201 klystron. Design relations and curves are presented and applications and improvements are discussed.     

Pulse avalanche diode oscillators with an injected CW signal

The primary physical parameters affecting the frequency of pulsed avalanche diode oscillators (PAO) are discussed. A simplified equation, describing the interaction of an injected CW signal with the signal generated in the pulsed oscillator, is presented and the results of numerical calculations are plotted. It is shown that the oscillator frequency is merely pulled by the injected CW signal and that neither the output frequency nor the phase are "locked" to the injected signal.     

Computer simulation of Adler's generalized equation for the interaction of oscillators with injected signals

A computer simulation that solves Adler's generalized equation describing the interaction of an injected signal with a free running oscillator is presented [1]. The simulation, performed on a digital computer, offers the advantage of a fast turn-around, great flexibility, and a high degree of accuracy. In contrast to analog computer simulations, no scaling is required. The simulation is demonstrated by determining the injection locking properties of an avalanche diode oscillator and of a pulsed magnetron with injected CW signals. The results concerning avalanche diode oscillator injection locking are in good agreement with other computational methods reported in current literature. The injection locking simulation of pulsed magnetrons, the results of the simulation, appear to confirm experimental data reported in the literature.     

Intermodulation in an f.m. oscillator injection locked by an f.m. signal

Analysis of injection locking by f.m. signals is presented when the locked oscillator and the locking source are frequency modulated by the same signal. Intermodulation noise and optimum deviation of the locked oscillator are derived, assuming f.m. by band-limited Gaussion noise. Previous published results and recent experiments confirm the results obtained.     

Injection locking in AlGaAs semiconductor laser

Injection locking of AlGaAs double-heterostructure (DH) lasers was studied with respect to locking bandwidth, required power, and coherence. The relation of the locking bandwidth versus the ratio of locked laser power to injected power was consistent with the classical analysis on injection locking phenomena reported by Adler [2]. The measured maximum locking bandwidth was 5.8 GHz when the locking gain was 18 dB. A maximum gain of 40 dB was observed with a 500 MHz locking bandwidth. The power increase in the injected mode agrees well with theoretical values calculated with the van der Pol equation. The interference pattern was observed between an injecting beam and a locked laser beam. Visibility was the same as that obtained by the interference between forward and backward emitted beams in an identical free-running laser. Spurious mode suppression was observed when a single-frequency optical power is injected into an RF-modulated laser. Single longitudinal mode operation was obtained at a sufficiently high injecting level.     

Injection locking characteristics of an AlGaAs semiconductor laser

Injection locking of an AlGaAs double-heterostructure laser was studied with respect to locking frequency width and locking gain. The relation of the locking bandwidth versus the ratio of locked laser to injected power was consistent with the analysis on injection locking phenomena by Adler. Measured maximum locking bandwidth was 3 GHz, when locking gain was 23 dB. The 40 dB maximum gain was observed with the 500 MHz locking bandwidth. By measuring the beat notes between two temperature-stabilized free running AlGaAs lasers, the linewidth was estimated as 10 MHz.     

Phase noise in externally injection-locked oscillator arrays

Previous investigations of noise in mutually synchronized coupled-oscillator systems are extended to include the effects of phase noise introduced by externally injected signals. The analysis is developed for arbitrarily coupled arrays and an arbitrary collection of coherent injected signals, and is illustrated with the specific case of linear chains of nearest neighbor coupled oscillators either globally locked (locking signal applied to each array element) or with the locking signal applied to a single-array element. It is shown that the general behavior is qualitatively similar to a single injection-locked oscillator, with the output noise tracking the injected noise near the carrier, and returning to the free-running array noise far from the carrier, with intermediate behavior significantly influenced by the number of array elements and injection strength. The theory is validated using a five-element GaAs MESFET oscillator array operating at S-band     

归零码信号注入FP-LD实现无本振光子上变频系统

提出了一种低速率归零码（RZ-OOK）信号注入法布里-珀罗腔激光二极管（FP-LD）的无本振光子上变频系统。利用外部注入信号光对FP-LD的一个自由振荡模式进行锁定从而得到一个微波的高频振荡,基于注入锁定机理进行了上变频原理分析,并通过实验方式验证了方案的可行性。实验中,2 Gb/s的RZ-OOK信号分别被上变频到12 GHz、14.28 GHz成为副载波信号。     

Frequency stabilization of power-combining grid oscillator arrays

In this paper, we report the results of phase locking of grid oscillator arrays. First, a voltage-controlled grid oscillator array with a center frequency of 4.7 GHz and with a 300-MHz electric tuning range was locked to a frequency synthesizer through a phase-locked loop. Second, a 4 × 4 and a 6 × 6 grid oscillator arrays were locked by way of the injection locking. In both methods, a simple loop antenna mounted on the reflection mirror was used for taking/injecting signals from/to the array. Results show that the phase noise performance is improved significantly in the locked oscillator arrays     

Locking of Magnetrons by an Injected RF Signal

An equivalent circuit is given which quantitatively predicts the performance of magnetron oscillators when they are frequency locked by an injected RF signal. A method is presented for the reciprocal coupling of magnetrons to a traveling wave without reflection. The theory is supported by experimental results which include: 1) a single-tube locked oscillator with nonreciprocal (circulator) coupling, 2) a three-tube locked oscillator array with reciprocal coupling, 3) a two-tube oscillator with reciprocal coupling. The feasibility of various locked oscillator and self-oscillating arrays, including the effect of mismatched loads, is discussed.     

Diagnostics of the synchronization of self-oscillatory systems by an external force with varying frequency with the use of wavelet analysis

A diagnostics method based on a continuous wavelet transform is proposed. This method makes it possible to diagnose the presence of synchronization of the oscillations of a self-excited oscillator locked by an external force with a linearly modulated frequency and to distinguish such a situation from the case when an external signal leaks into self-oscillations; i.e., the signals are summed without a change in the self-oscillation frequency. The method’s efficiency is shown with the use of a Van der Pol generator and experimental physiological data as examples.     

一种毫米波宽锁定范围的注入锁定倍频器设计

为提高毫米波段倍频器在低功耗下的工作带宽,采用IHP130 nm SiGe BiCMOS 工艺,设计了一种采用双端注入技术的毫米波宽锁定范围注入(DEI)锁定倍频器。该注入锁定倍频器主要由谐波发生器和带有尾电流源的振荡器构成,由巴伦产生差分信号双端注入振荡器的形式提高三次谐波注入强度,使其在E、W 等波段输出宽锁定范围和良好相位噪声性能的三倍频信号。仿真结果表明,注入锁定倍频器在工作电压为1.2 V,输入信号功率为0 dBm时,其锁定范围在57~105 GHz 内。在相同工作电压和输入信号功率下,输入频率为32 GHz 时,一次、二次和四次谐波抑制大于20 dBc,功耗为9.1 mW。     

Modulation properties of an injection-locked semiconductor laser

The modulation properties of an injection-locked semiconductor laser are investigated using the rate equation formalism. Intensity and phase modulations (IM and PM) are analyzed throughout the locking range where the locked laser is stable. The relaxation oscillation resonance in the IM and PM frequency responses can be dramatically reduced by tuning the injected power and the frequency difference between the master laser and the free-running slave laser. The power spectra under direct modulation are derived throughout the stable locking range. The spreading of the harmonics of the modulated locked laser is strongly affected by the frequency detuning, the injected power, and the injected current modulation. Measurements illustrating the theoretical results are also presented     

Injection modulation in coupled laser oscillators

Injection modulation is the effect observed when laser oscillation is perturbed by an injected signal below the threshold of locking. In this regime the oscillation becomes a wave modulated in frequency as well as in amplitude. The modulation envelope has a characteristic waveform which depends on the amplitude and phase of the injected signal. Starting from the Lamb's equations for a dual-mode oscillator, we develop a theory of the injection modulation and calculate the waveforms in amplitude and frequency. The treatment applies both to the external injection into a laser and to the case of mutual coupling between two modes. Experimental results for a dual mode He-Ne laser are found to be in good agreement with the theory. It is pointed out how the injection modulation effects are appreciable even at very weak levels of injected amplitudes, e.g., down to 10^-5with respect to the oscillation field amplitude.     

A theoretical and experimental study of the noise behavior ofsubharmonically injection locked local oscillators

A method for the phase-noise characterization of optically controlled subharmonically injection-locked oscillators that is based on a nonlinear model of synchronized oscillators is presented. It allows FM noise degradation at large-signal levels to be predicted easily and accurately. The theoretical analysis shows that (1) the nth-order subharmonic injection locking oscillator is primarily locked by the nth harmonic output of an injected signal, which is generated by the nonlinearity of the active device; (2) the minimum FM noise degradation factor of the nth-order subharmonically locked oscillator is n² when the injection power is sufficiently strong; and (3) a subharmonic injection locking LO with low injection power, good FM noise degradation, and large locking range can be designed by determining the optimum injection power level, by selecting the optimal nonlinear multiplication factor, and by decreasing the intrinsic noise level of the active device. The experimental results confirm the accuracy of the analysis     

Ka波段直接数字调频锁相源

本文结合调制和锁相理论,论证了数字信号直接调制锁相源的可行性。研制的Ｋａ波段锁相耿氏振荡器能实现２＾１５级８４４８ｋｂｉｔ／ｓ的数字信号直接调频。该技术能大大降低通信系统的成本。     

Optical FM signal amplification and FM noise reduction in an injection locked AlGaAs semiconductor laser

Optical frequency. modulation index suppression in FM signal amplification and FM signal generation in an injection locked semiconductor laser are experimentally studied by injecting coherent FM signals and CW light, respectively. Experimental results are in good agreement with a simple theory using the van der Pol equation with an external signal term. The FM noise accumulation in cascade injection locked amplifiers is calculated and an optimum design for an injection locked repeater system is discussed.     

New technique for digital phase-shift control

A scheme for digital phase-shift control of a locked oscillator is proposed. If the required operating frequency is f and the locking frequency is nf, a reversal in phase of the locking frequency will shift the phase of the locked oscillator by ?/n, under suitable conditions.     

Multimode effects on the evolution and long-term stability of apassively mode-locked laser under pulsed injection locking

A multidimensional extension of the injection locking of CW lasers has been recently presented and experimentally verified when both a passively and an actively mode-locked laser were locked to injected coherent pulse trains. Harmonic injection locking of a passively mode-locked laser, where a subset of the laser cavity modes were locked to the injected signal, was also recently realized in a fiber laser to yield trains of 6-ps pulses at rates of up to 40 GHz. In this paper, the multimode injection-locking process is addressed with an emphasis on the long-term dynamics of the laser, pulse buildup under injection locking, memory effects, noise mechanism as well as potential applications, e.g., optical signal regeneration. Using a recently introduced formalism for describing passively mode-locked lasers, the experimental results are compared to numerical simulations     

A study of locking phenomena in oscillators

Impression of an external signal upon an oscillator of similar fundamental frequency affects both the instantaneous amplitude and instantaneous frequency. Using the assumption that time constants in the oscillator circuit are small compared to the length of one beat cycle, a differential equation is derived which gives the oscillator phase as a function of time. With the aid of this equation, the transient process of "pull-in" as well as the production of a distorted beat note are described in detail. It is shown that the same equation serves to describe the motion of a pendulum suspended in a viscous fluid inside a rotating container. The whole range of locking phenomena is illustrated with the aid of this simple mechanical model.