Abstract: The harmonic combiner and divider efficiently combines multiple harmonic signals onto a common transmission line. Combined harmonic signals can be used to generate fast, high-fidelity arbitrary waveforms by superimposing the harmonics described in their Fourier series. Fast arbitrary waveforms have applications in communications, radar, and can be used for manipulating and controlling charged particle beams. The harmonic combiner and divider also efficiently divides fast arbitrary waveforms into their constituent harmonics and provides an efficient mechanism for waveform analysis and for multi-channel communications.

Abstract: Spin polarized beams are an essential tool in the study of nuclear physics using particle accelerators. Particle accelerators can produce spin polarized beams, but a technology is needed to continuously monitor, in real time and non-invasively, the beam's polarization direction and quality. Without this capability, there is no way to automate polarization quality optimization. The ring-coupled cavity resonator provides a mechanism to enhance the interaction between a cavity resonator and the spin of passing particles, and provides a method to determine and monitor, in real time and non-invasively, beam magnetization and longitudinal spin polarization direction and quality.

Abstract: The harmonic combiner and divider efficiently combines multiple harmonic signals onto a common transmission line. Combined harmonic signals can be used to generate fast, high-fidelity arbitrary waveforms by superimposing the harmonics described in their Fourier series. Fast arbitrary waveforms have applications in communications, radar, and can be used for manipulating and controlling charged particle beams. The harmonic combiner and divider also efficiently divides fast arbitrary waveforms into their constituent harmonics and provides an efficient mechanism for waveform analysis and for multi-channel communications.

Abstract: Spin polarized beams are an essential tool in the study of nuclear physics using particle accelerators. Particle accelerators can produce spin polarized beams, but a technology is needed to continuously monitor, in real time and non-invasively, the beam's polarization direction and quality. Without this capability, there is no way to automate polarization quality optimization. The ring-coupled cavity resonator provides a mechanism to enhance the interaction between a cavity resonator and the spin of passing particles, and provides a method to determine and monitor, in real time and non-invasively, beam magnetization and longitudinal spin polarization direction and quality.

Abstract: High frequency arbitrary waveforms have applications in radar, communications, medical imaging, therapy, electronic warfare, and charged particle acceleration and control. State of the art arbitrary waveform generators are limited in the frequency they can operate by the speed of the Digital to Analog converters that directly create their arbitrary waveforms. The architecture of the Harmonic Arbitrary Waveform Generator allows the phase and amplitude of the high frequency content of waveforms to be controlled without taxing the Digital to Analog converters that control them. The Harmonic Arbitrary Waveform Generator converts a high frequency input, into a precision, adjustable, high frequency arbitrary waveform.

Abstract: High frequency arbitrary waveforms have applications in radar, communications, medical imaging, therapy, electronic warfare, and charged particle acceleration and control. State of the art arbitrary waveform generators are limited in the frequency they can operate by the speed of the Digital to Analog converters that directly create their arbitrary waveforms. The architecture of the Harmonic Arbitrary Waveform Generator allows the phase and amplitude of the high frequency content of waveforms to be controlled without taxing the Digital to Analog converters that control them. The Harmonic Arbitrary Waveform Generator converts a high frequency input, into a precision, adjustable, high frequency arbitrary waveform.