Dr. Virendra N. Mahajan
Adjunct Professor
SPIE Involvement:
Editor | Author | Instructor | Science Fair Judge
Publications (14)

Proceedings Article | 9 September 2021 Open Access Presentation + Paper
Proceedings Volume 11813, 118130G (2021) https://doi.org/10.1117/12.2569978
KEYWORDS: Aerospace engineering, Wavefront analysis, Geometrical optics, Optical testing, Nomenclature, Physics, Optical metrology, Optical imaging, Optical aberrations, Diffraction

SPIE Journal Paper | 25 August 2021 Open Access
OE, Vol. 60, Issue 09, 091500, (August 2021) https://doi.org/10.1117/12.10.1117/1.OE.60.9.091500
KEYWORDS: Light emitting diodes, Solid state lighting, LED lighting, Freeform optics, Light sources and illumination, Photonics, Optical design, Optical engineering, Sun, Reflectors

Proceedings Article | 17 July 2019 Open Access Paper
Proceedings Volume 11143, 111430F (2019) https://doi.org/10.1117/12.2523698
KEYWORDS: Mirrors, Imaging systems, Point spread functions, Diffraction, Spherical lenses, Optical transfer functions, Monochromatic aberrations, Optical imaging, Ray tracing, Image quality

Proceedings Article | 30 August 2017 Paper
Virendra Mahajan, Eva Acosta
Proceedings Volume 10375, 103750A (2017) https://doi.org/10.1117/12.2282995

Proceedings Article | 23 August 2017 Presentation + Paper
Proceedings Volume 10375, 103750D (2017) https://doi.org/10.1117/12.2275377
KEYWORDS: Fourier transforms, Optical transfer functions, Point spread functions, Diffraction, Imaging systems, Optical imaging, Spatial frequencies, Aberration theory, Image analysis

Proceedings Article | 3 September 2015 Paper
Proceedings Volume 9578, 957806 (2015) https://doi.org/10.1117/12.2189862
KEYWORDS: Optical transfer functions, Monochromatic aberrations, Spatial frequencies, Diffraction, Actinium, Imaging systems, Geometrical optics, Optical imaging, Modulation transfer functions, Fourier transforms

SPIE Press Book | 3 June 2014
KEYWORDS: Imaging systems, Monochromatic aberrations, Mirrors, Geometrical optics, Refractive index, Ray tracing, Spherical lenses, Wavefronts, Telescopes

SPIE Press Book | 7 August 2013
KEYWORDS: Monochromatic aberrations, Point spread functions, Wavefronts, Optical transfer functions, Imaging systems, Spherical lenses, Diffraction, Interferometry, Wavefront analysis, Spatial frequencies

SPIE Press Book | 4 August 2011
KEYWORDS: Point spread functions, Monochromatic aberrations, Optical transfer functions, Diffraction, Imaging systems, Spatial frequencies, Spherical lenses, Gaussian beams, Fourier transforms

SPIE Press Book | 3 August 2011
KEYWORDS: Monochromatic aberrations, Point spread functions, Mirrors, Spherical lenses, Imaging systems, Wavefronts, Diffraction, Optical transfer functions, Geometrical optics

Proceedings Article | 3 November 2003 Paper
Proceedings Volume 5173, 517302 (2003) https://doi.org/10.1117/12.511384
KEYWORDS: Monochromatic aberrations, Zernike polynomials, Spherical lenses, Radon, Distortion, Diffraction, Wavefronts, Imaging systems, Gaussian beams, Optical imaging

Proceedings Article | 29 April 1999 Paper
Proceedings Volume 3729, (1999) https://doi.org/10.1117/12.346821

SPIE Press Book | 21 July 1998
KEYWORDS: Monochromatic aberrations, Mirrors, Imaging systems, Spherical lenses, Geometrical optics, Refractive index, Telescopes, Distortion, Wavefronts, Chromium

SPIE Journal Paper | 1 November 1994
OE, Vol. 33, Issue 11, (November 1994) https://doi.org/10.1117/12.10.1117/12.184358
KEYWORDS: Reflectivity, Monochromatic aberrations, Reflection, Modulation, Mirrors, Telecommunications, Attenuators, Gaussian beams, Thin films, Aerospace engineering

Showing 5 of 14 publications
Proceedings Volume Editor (17)

Showing 5 of 17 publications
Conference Committee Involvement (22)
Current Developments in Lens Design and Optical Engineering XXV
20 August 2024 | San Diego, California, United States
Current Developments in Lens Design and Optical Engineering XXIV
22 August 2023 | San Diego, California, United States
Current Developments in Lens Design and Optical Engineering XXIII
23 August 2022 | San Diego, California, United States
Current Developments in Lens Design and Optical Engineering XXII
4 August 2021 | San Diego, California, United States
Tribute to James C. Wyant: The Extraordinaire in Optical Metrology and Optics Education
2 August 2021 | San Diego, California, United States
Current Developments in Lens Design and Optical Engineering XXI
24 August 2020 | Online Only, California, United States
Current Developments in Lens Design and Optical Engineering XX
12 August 2019 | San Diego, California, United States
Current Developments in Lens Design and Optical Engineering XIX
21 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
Current Developments in Lens Design and Optical Engineering XIV
25 August 2013 | San Diego, California, United States
Current Developments in Lens Design and Optical Engineering XIII
13 August 2012 | San Diego, California, United States
Current Developments in Lens Design and Optical Engineering XII; and Advances in Thin Film Coatings VII
23 August 2011 | San Diego, California, United States
Current Developments in Lens Design and Optical Engineering XI; and Advances in Thin Film Coatings VI
1 August 2010 | San Diego, California, United States
Current Developments in Lens Design and Optical Engineering X
4 August 2009 | San Diego, California, United States
Current Developments in Lens Design and Optical Engineering IX
11 August 2008 | San Diego, California, United States
Current Developments in Lens Design and Optical Engineering VIII
27 August 2007 | San Diego, California, United States
Current Developments in Lens Design and Optical Engineering VII
14 August 2006 | San Diego, California, United States
Current Developments in Lens Design and Optical Engineering VI
2 August 2005 | San Diego, California, United States
Current Developments in Lens Design and Optical Engineering V
4 August 2004 | Denver, Colorado, United States
Showing 5 of 22 Conference Committees
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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