Dr. Virendra N. Mahajan
Retired - Distinguished Scientist at
SPIE Involvement:
Fellows Committee | Publications Committee | Fellow status | Conference Chair | Conference Program Committee | Author | Editor | Instructor
Publications (24)

PROCEEDINGS ARTICLE | August 30, 2017
Proc. SPIE. 10375, Current Developments in Lens Design and Optical Engineering XVIII

PROCEEDINGS ARTICLE | August 23, 2017
Proc. SPIE. 10375, Current Developments in Lens Design and Optical Engineering XVIII
KEYWORDS: Fourier transforms, Optical transfer functions, Point spread functions, Diffraction, Imaging systems, Optical imaging, Spatial frequencies, Aberration theory, Image analysis

SPIE Conference Volume | December 16, 2016

SPIE Conference Volume | September 28, 2015

PROCEEDINGS ARTICLE | September 3, 2015
Proc. SPIE. 9578, Current Developments in Lens Design and Optical Engineering XVI
KEYWORDS: Optical transfer functions, Monochromatic aberrations, Spatial frequencies, Diffraction, Actinium, Imaging systems, Geometrical optics, Optical imaging, Modulation transfer functions, Fourier transforms

SPIE Conference Volume | September 30, 2014

Showing 5 of 24 publications
Conference Committee Involvement (15)
Current Developments in Lens Design and Optical Engineering XIX
19 August 2018 | San Diego, California, United States
Current Developments in Lens Design and Optical Engineering XVIII
7 August 2017 | San Diego, California, United States
Current Developments in Lens Design and Optical Engineering XVII
31 August 2016 | San Diego, California, United States
Current Developments in Lens Design and Optical Engineering XVI
10 August 2015 | San Diego, California, United States
Current Developments in Lens Design and Optical Engineering XV
19 August 2014 | San Diego, California, United States
Showing 5 of 15 published special sections
Course Instructor
SC1164: Wavefront Data Analysis
The course begins with an overview of basic aberrations and tolerance analysis in optical imaging systems. Zernike circle polynomials and their use in wavefront data analysis are presented as are analytical methods for cases involving non-circular pupils such as annular, square, hexagonal and elliptical pupils. The calculation of orthonormal aberration coefficients from the wavefront error data obtained by phase-shifting interferometery or wavefront slope error data obtained with a Shack-Hartmann sensor is explained, and numerical analyses of both types of data are demonstrated.
SC560: Exploring Optical Aberrations
Gaussian optics yields the location and size of the image formed by an imaging system. However, the quality of the image depends on the aberrations of the system. We start with an aberration-free image, and explain how aberrations affect it. The concept of Strehl ratio is introduced, and how fabrication tolerances can be obtained from it is illustrated. We explain what Zernike polynomials are, and why they are used in optical design and testing. We briefly discuss how aberrations affect the line of sight of an optical system. We also discuss the optical transfer function of a system, and illustrate how aberrations introduce contrast reversal at certain bands of spatial frequencies.
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