Abstract: A hybrid lens collimates light emitted by a light source via refraction and reflection. A folded optic element of the lens comprises an outer reflective surface, a lens output surface, and a hollow core comprising a sidewall having a curved profile, a core output boundary, and a core input opening through which the light emitted by the light source enters the hollow core. A reflector of the lens receives the light emitted by the light source, reflects a first portion of the light into the hollow core of the folded optic element, and directly transmits a second portion of the light into the hollow core without reflection by the reflector. In one example, the lens output surface has a diameter of 65 millimeters, the lens has a thickness (between the light source and the lens output surface) of about 13.5 millimeters and provides substantially collimated light with a beam divergence angle of 12 degrees or less.

Abstract: A scanning microscope apparatus has a laser light to generate a beam at an excitation wavelength. A beam expander enlarges the beam width and forms a collimated beam, scanned in a raster pattern. A catadioptric objective has a curved partially transmissive mirror surface symmetric about an optical axis and disposed to focus a portion of the received scanned collimated beam toward a focal plane at the sample, wherein the mirror surface has a center of curvature either at an axis of rotation of the scanner or at an image of the axis of rotation. A reflective polarizer cooperates with the curved mirror to direct the focused light toward the sample. One or more polarization retarders condition excitation light conveyed toward and away from the curved mirror. A beam splitter separates the generated laser light from a signal and directs the signal toward a detector.

Abstract: A computing device identifies and eliminates unneeded computations from an analytic computation. A symmetric matrix includes a row and a column for each of a set of partial derivative equations where each cell includes an indicator of whether or not a direct dependency exists and is updated to include an indicator of whether or not an indirect dependency exists. A solution row is identified from the symmetric matrix that includes a requested partial derivative. A cell is identified of the identified solution row that does not include the indicator that the direct or indirect dependency exists. The column is identified from the symmetric matrix that includes the identified cell. The partial derivative equation associated with the identified column is removed from the defined set of partial derivative equations to reduce a computer processing time to compute a derivative value for the requested partial derivative.

Abstract: An imaging apparatus for exposing a pattern onto a substrate has an illumination source that is energizable to generate a polarized exposure illumination beam of an actinic wavelength range and a mask disposed to impart the pattern to the polarized exposure illumination beam. A polarization beam splitter defines an illumination path that conveys the generated polarized exposure illumination beam through a quarter wave plate and plano-convex lens and toward a concave mirror and further conveys a reflected exposure illumination beam from the concave mirror toward an exposure plane for exposing the imparted pattern onto the substrate. The exposure plane is defined by the concave mirror, the plano convex lens, and the polarization beam splitter.

Abstract: A display apparatus has a birefringent ocular having a first index of refraction for light having a first polarization axis and a second index of refraction, lower than the first index by at least 0.1, for light having a second polarization axis that is orthogonal to the first polarization axis, wherein the birefringent ocular defines an eye box for a viewer. An image source emits image-bearing light having the first polarization axis. A polarization beam splitter is disposed to reflect the image-bearing light of the first polarization axis toward the birefringent ocular and further disposed to transmit, from an object scene, light having the second polarization axis.

Abstract: An optical apparatus has a laser source to direct modulated light toward a scan mirror and objective lens that define a focal surface. Pupil relay optics relay a first pupil at the scan mirror to a second pupil at an eye lens, the pupil relay optics defining an optical axis extending between pupils and having a curved mirror that transmits substantially half of the modulated beam and that has a first center of curvature at the first pupil and a first polarizer in the path of light from the scan mirror to reflect incident light of a first polarization and first angle toward the curved mirror surface and transmit incident light of an orthogonal polarization and second angle, wherein the pupil relay optics direct the modulated light beam twice to the first polarizer, and wherein the modulated light incident the second time is collimated and directed toward the second pupil.

Abstract: A volumetric imaging apparatus is energizable to form an image onto a display surface as an input to a monocentric catadioptric imaging apparatus having a light path for image-bearing light from the display surface, wherein the light path extends substantially symmetrically to a vertical plane that extends through a curved relay mirror and a curved primary mirror. The monocentric catadioptric imaging apparatus has reflective surfaces to fold the light path between the curved relay mirror and the curved primary mirror to condition the distribution of the image-bearing light in a horizontal direction. The light path of the monocentric catadioptric imaging apparatus directs light from the curved primary mirror toward a light input surface of a vertical pupil expander that has a light exit surface that is substantially orthogonal to the vertical plane. The light exit surface directs light through a free-form corrector for convergence and toward a windshield for display.

Abstract: A field of view deviator apparatus for a camera lens housing on a personal communications device has a coupling that seats a removable element in a position adjacent to the camera lens and a field of view deviator prism that seats in the coupling and defines a path for image-bearing light from the subject scene to the camera lens having a first transmissive surface that is at a sufficiently oblique angle to the defined path of image-bearing light within the prism for total internal reflection, a second transmissive surface that is substantially at a normal to the defined path of incident image-bearing light within the prism; and a first reflective surface that folds the defined path of image-bearing light within the prism.

Abstract: A display apparatus has a birefringent ocular having a first index of refraction for light having a first polarization axis and a second index of refraction, lower than the first index by at least 0.1, for light having a second polarization axis that is orthogonal to the first polarization axis, wherein the birefringent ocular defines an eye box for a viewer. An image source emits image-bearing light having the first polarization axis. A polarization beam splitter is disposed to reflect the image-bearing light of the first polarization axis toward the birefringent ocular and further disposed to transmit, from an object scene, light having the second polarization axis.

Abstract: A Web-based Electronic Controlled Substance (CS) Transfer Management System and Method designed to fully comply with the DEA requirements for a prescription of controlled substances. The system and method allows the buyer to securely order and confirm the receipt of the controlled substances over an existing Internet infrastructure of the buyer such as a Web browser as the buyer's software, thus avoiding the necessity of any additional proprietary software or hardware to be built and installed onto the buyer's computer. The system and method further utilizes various validation functions, related to signing the controlled substance prescription with the utilization of the PKI certificate therefore, completely eliminating the necessity of the paper DEA 222 Form. The transfer of the controlled substances is managed through a secured database server, wherein signed validated orders are posted for fulfillment and reporting to the DEA.

Abstract: A volumetric imaging apparatus is energizable to form an image onto a display surface as an input to a monocentric catadioptric imaging apparatus having a light path for image-bearing light from the display surface, wherein the light path extends substantially symmetrically to a vertical plane that extends through a curved relay mirror and a curved primary mirror. The monocentric catadioptric imaging apparatus has reflective surfaces to fold the light path between the curved relay mirror and the curved primary mirror to condition the distribution of the image-bearing light in a horizontal direction. The light path of the monocentric catadioptric imaging apparatus directs light from the curved primary mirror toward a light input surface of a vertical pupil expander that has a light exit surface that is substantially orthogonal to the vertical plane. The light exit surface directs light through a free-form corrector for convergence and toward a windshield for display.

Abstract: A field of view deviator apparatus for a camera lens housing on a personal communications device has a coupling that seats a removable element in a position adjacent to the camera lens and a field of view deviator prism that seats in the coupling and defines a path for image-bearing light from the subject scene to the camera lens having a first transmissive surface that is at a sufficiently oblique angle to the defined path of image-bearing light within the prism for total internal reflection, a second transmissive surface that is substantially at a normal to the defined path of incident image-bearing light within the prism; and a first reflective surface that folds the defined path of image-bearing light within the prism.

Abstract: A Web-based Electronic Controlled Substance (CS) Transfer Management System and Method designed to fully comply with the DEA requirements for a prescription of controlled substances. The system and method allows the buyer to securely order and confirm the receipt of the controlled substances over an existing Internet infrastructure of the buyer such as a Web browser as the buyer's software, thus avoiding the necessity of any additional proprietary software or hardware to be built and installed onto the buyer's computer. The system and method further utilizes various validation functions, related to signing the controlled substance prescription with the utilization of the PKI certificate therefore, completely eliminating the necessity of the paper DEA 222 Form. The transfer of the controlled substances is managed through a secured database server, wherein signed validated orders are posted for fulfillment and reporting to the DEA.

Abstract: An article of eyewear for viewing a 3D display has at least one lens, wherein the at least one lens has a substrate lens material that is transparent to visible light and has a curved surface. A circular polarizer is formed on the substrate lens material and has a linear polarizer with a polarization axis and a quarter wave plate with a retardation axis that is inclined at substantially 45 degrees from the polarization axis along the curved surface. Either or both of the linear polarizer and the quarter wave plate are formed as sub-wavelength elongated structure devices.

Abstract: An afocal beam relay has first and second primary concave reflective surfaces and first and second secondary convex toroidal reflective surfaces. The centers of curvature of each of the first and second primary reflective surfaces and first and second secondary reflective surfaces lie on an axis. The first and second secondary convex reflective surfaces face toward the first and second primary concave reflective surfaces and are disposed to relay a decentered entrance pupil to a decentered exit pupil. An aspheric corrector element is disposed in the path of an input beam of light that is directed by the primary and secondary surfaces to the decentered entrance pupil. The directed beam of light between the first and second secondary convex mirrors is collimated in one direction and focused in mid air in an orthogonal direction.

Abstract: A method for forming, onto a linear array light modulator, a line of illumination that extends in a linear direction, the method includes forming a first linear beam array and a second linear beam array, both linear beam arrays comprising a plurality of laser beams; forming a mixed illumination by aligning the first linear beam array and the second linear beam array in the linear direction and directing the first and second linear beam arrays along a propagation path; magnifying the mixed illumination from the propagation path in the linear direction and relaying the magnified mixed illumination toward the linear array light modulator; and focusing the mixed illumination in the cross-array direction that is orthogonal to the linear direction onto the linear array light modulator.

Abstract: A volumetric imaging apparatus has a volumetric image generator with a light source, a light modulator, and a display surface. The volumetric image generator is energizable to form, on the display surface, an image over a range of focal positions at the entrance pupil of an optical system. The optical system is disposed to direct light from the image to a one-dimensional pupil expander. A combiner surface is disposed in the path of output light from the pupil expander for displaying the volumetric image.

Abstract: A Web-based Electronic Controlled Substance (CS) Transfer Management System and Method designed to fully comply with the DEA requirements for a prescription of controlled substances. The system and method allows the buyer to securely order and confirm the receipt of the controlled substances over an existing Internet infrastructure of the buyer such as a Web browser as the buyer's software, thus avoiding the necessity of any additional proprietary software or hardware to be built and installed onto the buyer's computer. The system and method further utilizes various validation functions, related to signing the controlled substance prescription with the utilization of the PKI certificate therefore, completely eliminating the necessity of the paper DEA 222 Form. The transfer of the controlled substances is managed through a secured database server, wherein signed validated orders are posted for fulfillment and reporting to the DEA.

Abstract: An afocal beam relay has first and second primary concave reflective surfaces and first and second secondary convex toroidal reflective surfaces. The centers of curvature of each of the first and second primary reflective surfaces and first and second secondary reflective surfaces lie on an axis. The first and second secondary convex reflective surfaces face toward the first and second primary concave reflective surfaces and are disposed to relay a decentered entrance pupil to a decentered exit pupil. An aspheric corrector element is disposed in the path of an input beam of light that is directed by the primary and secondary surfaces to the decentered entrance pupil. The directed beam of light between the first and second secondary convex mirrors is collimated in one direction and focused in mid air in an orthogonal direction.

Abstract: A method for forming, onto a linear array light modulator, a line of illumination that extends in a linear direction, the method includes forming a first linear beam array and a second linear beam array, both linear beam arrays comprising a plurality of laser beams; forming a mixed illumination by aligning the first linear beam array and the second linear beam array in the linear direction and directing the first and second linear beam arrays along a propagation path; magnifying the mixed illumination from the propagation path in the linear direction and relaying the magnified mixed illumination toward the linear array light modulator; and focusing the mixed illumination in the cross-array direction that is orthogonal to the linear direction onto the linear array light modulator.