Abstract: A two dimensional spatial radiation modulator rotated about a rotation axis to modulate components of an incident radiation beam to encode the beam. The modulator includes sub-regions in a first annular segment being patterned to form a pair of radiation filters having substantially complementary modulation functions. The pair of radiation filters produces a first encoded component with a characteristic determined by the relative intensities of radiation from the beam incident on the pair of filters. The modulator also includes sub-regions in a second annular segment being patterned to form a filter that produces a second encoded component with a characteristic determined by the total intensity of radiation from the beam incident on the filter.

Abstract: An encoder spectrograph is used to analyze radiation from one or more samples in various configurations. The radiation is analyzed by spatially modulating the radiation after it has been dispersed by wavelength or imaged along a line. Dual encoder spectrographs may be used to encode radiation using a single modulator. An encoder spectrograph may be used wherein the first optics comprises a diffraction grating that is optimized for an annular-shaped intercept between the dispersed image and the radiation filters on a modulator.

Abstract: An encoder spectrograph is used to analyze radiation from one or more samples in various configurations. The radiation is analyzed by spatially modulating the radiation after it has been dispersed by wavelength or imaged along a line. Dual encoder spectrographs may be used to encode radiation using a single modulator. A spectra sorting algorithm is used to determine calibration training spectra for a spectrometer in a spectrometer calibration training mode.

Abstract: A chemometric analyzer for analyzing a plurality of analytes. The analyzer disperses radiation by wavelength along an encoding axis. The analyzer includes a spatial radiation modulator having a plurality of radiation filters. Each radiation filter modulates the intensity of a corresponding spectral component in the radiation.

Abstract: An encoder spectrograph is used to analyze radiation from one or more samples in various configurations. The radiation is analyzed by spatially modulating the radiation after it has been dispersed by wavelength or imaged along a line. Dual encoder spectrographs may be used to encode radiation using a single modulator. An encoded photometric infrared spectroscopy (“EPIR”) analyzer employs orthogonal encoded components having substantially identical modulation frequencies, which may allow for the multiplexing of up to twice as many encoded components.

Abstract: An encoder spectrograph is used to analyze radiation from one or more samples in various configurations. The radiation is analyzed by spatially modulating the radiation after it has been dispersed by wavelength or imaged along a line. Dual encoder spectrographs may be used to encode radiation using a single modulator. An encoder spectrograph includes a modulator with radiation filters having non-equal widths and centered at non-equal intervals along the encoding axis of the modulator.

Abstract: A method of generating a design pattern for a spatial radiation modulator to encode two or more selected spectral components in one or more spectral ranges for the chemometric analysis of a group of analytes. The method includes obtaining a corresponding spectrum for each of the analytes, defining a set of initial spectral windows, constructing a chemometric matrix to relate concentrations of the analytes to intensities of the spectral components, deriving optimized spectral windows, and translating the center wavelength and the bandwidth of each of the optimized spectral windows into a corresponding optimized annular region on the modulator.

Abstract: A method of generating a design pattern for a spatial radiation modulator to encode two or more selected spectral components in one or more spectral ranges for the chemometric analysis of a group of analytes. The method includes obtaining a corresponding spectrum for each of the analytes, defining a set of initial spectral windows, constructing a chemometric matrix to relate concentrations of the analytes to intensities of the spectral components, deriving optimized spectral windows, and translating the center wavelength and the bandwidth of each of the optimized spectral windows into a corresponding optimized annular region on the modulator.

Abstract: A two dimensional spatial radiation modulator rotated about a rotation axis to modulate components of an incident radiation beam to encode the beam. The modulator includes sub-regions in a first annular segment being patterned to form a pair of radiation filters having substantially complementary modulation functions. The pair of radiation filters produces a first encoded component with a characteristic determined by the relative intensities of radiation from the beam incident on the pair of filters. The modulator also includes sub-regions in a second annular segment being patterned to form a filter that produces a second encoded component with a characteristic determined by the total intensity of radiation from the beam incident on the filter.

Abstract: Method and apparatus for analyzing radiation using analyzers and encoders employing the spatial modulation of radiation dispersed by wavelength or imaged along a line.

Abstract: An encoder spectrograph is used to analyze radiation from one or more samples in various configurations. The radiation is analyzed by spatially modulating the radiation after it has been dispersed by wavelength or imaged along a line. Dual encoder spectrographs may be used to encode radiation using a single modulator. An encoder spectrograph includes a modulator with radiation filters having non-equal widths and centered at non-equal intervals along the encoding axis of the modulator.

Abstract: An encoder spectrograph is used to analyze radiation from one or more samples in various configurations. The radiation is analyzed by spatially modulating the radiation after it has been dispersed by wavelength or imaged along a line. Dual encoder spectrographs may be used to encode radiation using a single modulator. A spectra sorting algorithm is used to determine calibration training spectra for a spectrometer in a spectrometer calibration training mode.

Abstract: An encoder spectrograph is used to analyze radiation from one or more samples in various configurations. The radiation is analyzed by spatially modulating the radiation after it has been dispersed by wavelength or imaged along a line. Dual encoder spectrographs may be used to encode radiation using a single modulator. An encoder spectrograph may be used wherein the first optics comprises a diffraction grating that is optimized for an annular-shaped intercept between the dispersed image and the radiation filters on a modulator.

Abstract: An encoder spectrograph is used to analyze radiation from one or more samples in various configurations. The radiation is analyzed by spatially modulating the radiation after it has been dispersed by wavelength or imaged along a line. Dual encoder spectrographs may be used to encode radiation using a single modulator. An EPIR analyzer employs orthogonal encoded components having substantially identical modulation frequencies, which may allow for the multiplexing of up to twice as many encoded components.

Abstract: An encoder spectrograph is used to analyze radiation from one or more samples in various configurations. The radiation is analyzed by spatially modulating the radiation after it has been dispersed by wavelength or imaged along a line. Dual encoder spectrographs may be used to encode radiation using a single modulator.

Abstract: Method and apparatus for analyzing radiation using analyzers and encoders employing the spatial modulation of radiation dispersed by wavelength or imaged along a line.

Abstract: Method and apparatus for analyzing radiation using analyzers and encoders employing the spatial modulation of radiation dispersed by wavelength or imaged along a line.

Abstract: A disc serving as a spatial radiation modulator has dispersed radiation filters thereon. Each filter has a transmittance or reflectance modulation function of the form sin2(m?+p?/4), where m is a positive integer and p has one of the four values 0, 1, 2, 3. A radiation beam including selected wavelength components is diffracted into an elongated image dispersed according to wavelength. Different wavelength components are focused onto different filters on the modulator and are encoded by correspond filters. Since the modulation functions of the filters are orthogonal to one another, it is possible to extract the amplitude of each wavelength component after it has been encoded or modulated by corresponding filter from the total detected signal during one measurement.