Patents by Inventor Virendra N. Mahajan

Virendra N. Mahajan has filed for patents to protect the following inventions. This listing includes patent applications that are pending as well as patents that have already been granted by the United States Patent and Trademark Office (USPTO).

  • Patent number: 8983812
    Abstract: Systems, methods, and software for determining a set of analytical or numerical polynomials that is orthonormal over circular or noncircular pupils are described. Closed-form orthonormal polynomials for circular, annular, hexagonal, elliptical, rectangular, and square pupils are derived. Such techniques can be applied to ray tracing as in the optical design and wavefront fitting from measurement as in the optical testing. These approaches can also be applied to wavefront reconstruction in adaptive optics.
    Type: Grant
    Filed: April 26, 2013
    Date of Patent: March 17, 2015
    Assignee: AMO Development, LLC
    Inventors: Guang-ming Dai, Virendra N. Mahajan
  • Publication number: 20130246493
    Abstract: Systems, methods, and software for determining a set of analytical or numerical polynomials that is orthonormal over circular or noncircular pupils are described. Closed-form orthonormal polynomials for circular, annular, hexagonal, elliptical, rectangular, and square pupils are derived. Such techniques can be applied to ray tracing as in the optical design and wavefront fitting from measurement as in the optical testing. These approaches can also be applied to wavefront reconstruction in adaptive optics.
    Type: Application
    Filed: April 26, 2013
    Publication date: September 19, 2013
    Inventors: Guang-ming Dai, Virendra N. Mahajan
  • Patent number: 8504329
    Abstract: Systems, methods, and software for determining a set of analytical or numerical polynomials that is orthonormal over circular or noncircular pupils are described. Closed-form orthonormal polynomials for circular, annular, hexagonal, elliptical, rectangular, and square pupils are derived. Such techniques can be applied to ray tracing as in the optical design and wavefront fitting from measurement as in the optical testing. These approaches can also be applied to wavefront reconstruction in adaptive optics.
    Type: Grant
    Filed: July 10, 2007
    Date of Patent: August 6, 2013
    Assignee: AMO Manufacturing USA, LLC.
    Inventors: Guang-ming Dai, Virendra N. Mahajan