In some embodiments, a molecular clock includes a waveguide gas cell containing gas molecules having a rotational spectral line with a first frequency a voltage-controlled oscillator (VCO) to generate a clock signal, a transmitter referenced to the clock signal to generate a probing signal for transmission through the waveguide gas cell, and a receiver to receive the probing signal transmitted through the waveguide gas cell and interacting with gas molecules. The receiver can include a filter circuit configured to filter out even harmonic components from the received signal and can further include a lock-in detector to generate an error signal indicating an offset between the first frequency and the second frequency. The error signal is fed back to control generation of the VCO clock signal.

Oscillators and methods for realignment of an oscillator are provided. An oscillator includes an inductor having first and second terminals and a capacitor electrically coupled in parallel to the inductor at the first and second terminals. A first transistor of a first conductivity type is electrically coupled to the first terminal and a voltage source. The first transistor includes a gate configured to receive a first realignment signal. When the first realignment signal is in a realignment state, the first transistor is turned on and a voltage of the first terminal is increased from a low level to a high level in order to align a phase of a waveform of the oscillator.

Oscillators and methods for realignment of an oscillator are provided. An oscillator includes an inductor having first and second terminals and a capacitor electrically coupled in parallel to the inductor at the first and second terminals. A first transistor of a first conductivity type is electrically coupled to the first terminal and a voltage source. The first transistor includes a gate configured to receive a first realignment signal. When the first realignment signal is in a realignment state, the first transistor is turned on and a voltage of the first terminal is increased from a low level to a high level in order to align a phase of a waveform of the oscillator.

A tunable narrow-linewidth photo-generated microwave source based on polarization control includes a high-reflectivity fiber grating, a high-gain fiber, a low-reflectivity polarization-maintaining fiber grating, a stress adjusting device, a single-mode semiconductor pump laser, an optical wavelength division multiplexer, a polarization beam splitter, a polarization controller, an optical coupler, and a photoelectric detector. Birefringence distribution in the low-reflectivity polarization-maintaining fiber grating is controlled by adjusting a stress magnitude of the stress adjusting device to the low-reflectivity polarization fiber grating, thereby controlling a laser frequency working in different polarization modes in a resonant cavity, and a tunable narrow-linewidth photo-generated microwave source is generated by a beat-frequency technology using a dual-wavelength narrow-linewidth laser with variable frequency intervals.

This oscillator comprises: a source generating an incident optical wave at a pulsation frequency ω; an optomechanical resonator, having optical resonances at the pulsation frequency ω and mechanical resonances at a frequency f.sub.1 and generating, from the incident optical wave, emergent optical waves at the pulsation frequencies ω and ω−2πf.sub.1, and an acoustic wave at frequency f.sub.1; and, a photodiode delivering a useful signal at frequency f.sub.1 from the emergent waves. This oscillator further comprises: an acoustic propagation means for propagating the acoustic wave over a distance in order to produce a delayed acoustic wave; a means for converting the delayed acoustic wave into a delay signal at the frequency f.sub.1; and, a control loop, processing the delay signal in order to obtain a control signal applied to the source.

This oscillator comprises: a source generating an incident optical wave at a pulsation frequency ω; an optomechanical resonator, having optical resonances at the pulsation frequency ω and mechanical resonances at a frequency f.sub.1 and generating, from the incident optical wave, emergent optical waves at the pulsation frequencies ω and ω−2πf.sub.1, and an acoustic wave at frequency f.sub.1; and, a photodiode delivering a useful signal at frequency f.sub.1 from the emergent waves. This oscillator further comprises: an acoustic propagation means for propagating the acoustic wave over a distance in order to produce a delayed acoustic wave; a means for converting the delayed acoustic wave into a delay signal at the frequency f.sub.1; and, a control loop, processing the delay signal in order to obtain a control signal applied to the source.

A transposed delay line oscillator including a mode selection filter and a transposed delay line is provided. An output of the transposed delay line is coupled to an input of the mode selection filter to establish an oscillator loop. Based on the transposed delay line output, the mode selection filter generates a mode selection signal including an isolated oscillatory mode, in a Radio Frequency (RF) band. The transposed delay line receives the mode selection signal for transposition to an intermediate frequency of an intermediate frequency (IF) delay line. The IF delay line includes a delay filter and a phase noise suppression loop configured to suppress de-correlated transposition phase noise resulting from a delay of the delay filter. Suppression of phase noise in the IF delay line enables cancellation of transposition phase noise when transposing the IF delay line output to the RF band.

A transposed delay line oscillator including a mode selection filter and a transposed delay line is provided. An output of the transposed delay line is coupled to an input of the mode selection filter to establish an oscillator loop. Based on the transposed delay line output, the mode selection filter generates a mode selection signal including an isolated oscillatory mode, in a Radio Frequency (RF) band. The transposed delay line receives the mode selection signal for transposition to an intermediate frequency of an intermediate frequency (IF) delay line. The IF delay line includes a delay filter and a phase noise suppression loop configured to suppress de-correlated transposition phase noise resulting from a delay of the delay filter. Suppression of phase noise in the IF delay line enables cancellation of transposition phase noise when transposing the IF delay line output to the RF band.

In a clock apparatus, a signal waveguide includes: a gas cell having a sealed interior; and a dipolar gas inside the sealed interior. A first apparatus is configured to provide a first electromagnetic wave through the sealed interior along a first direction. A second apparatus is configured to provide a second electromagnetic wave through the sealed interior along a second direction, in which the second direction is opposite the first direction. Also, the clock apparatus includes receiving apparatus coupled to the signal waveguide and configured to detect an amount of energy in the second electromagnetic wave passing through the dipolar gas.

In a clock apparatus, a signal waveguide includes: a gas cell having a sealed interior; and a dipolar gas inside the sealed interior. A first apparatus is configured to provide a first electromagnetic wave through the sealed interior along a first direction. A second apparatus is configured to provide a second electromagnetic wave through the sealed interior along a second direction, in which the second direction is opposite the first direction. Also, the clock apparatus includes receiving apparatus coupled to the signal waveguide and configured to detect an amount of energy in the second electromagnetic wave passing through the dipolar gas.