Dr. Sameen Ahmed Khan             ([email protected])       (Visiting Card, Picture, Pictures and the Biographical-Note)
Assistant Professor,
Department of Mathematics and Sciences
College of Arts and Applied Sciences (CAAS)
Dhofar University (Logo)
Post Box No. 2509, Postal Code 211
Salalah
Dhofar
Sultanate of Oman (National Emblem).

List of 45+ Articles from the Scopus
http://SameenAhmedKhan.webs.com/
http://www.imsc.res.in/~jagan/khan-cv.html
http://sites.google.com/site/rohelakhan/
http://rohelakhan.webs.com/
http://www.du.edu.om/


Research Summary
Light Beam Optics

Using the analogy of the Helmholtz equation with the Klein-Gordon equation and the Pauli-Villars approach to the Klein-Gordon equation a a formalism utilizing the powerful techniques of quantum mechanics has been developed for scalar optics including aberrations. This provides an alternative to the traditional square-root approach and gives rise to wavelength-dependent contributions modifying the aberration coefficients.

Dirac-like form of the Maxwell equations is well known in literature. Starting with the Dirac-like form of the Maxwell equations we build a formalism which provides a unified treatment of beam optics and polarization. The traditional results (including aberrations) of the scalar optics are modified by the wavelength-dependent contributions. Some of the well-known results in polarization studies are realized as the leading-order limit of a more general framework of our formalism.

The corrections to the traditional descriptions rigorously derived in the above articles have a significant bearing on fiber optics. An application for a patent shall be made in the near future!





Technical Writings



A. Books

  1. Sameen Ahmed Khan,
    International Year of Light and Light-based Technologies (IYL, Logo),
    LAP LAMBERT Academic Publishing, Logo, Germany, 96 pages (Thursday the 30 July 2015).
    (ISBN-10: 3659764825 and ISBN-13: 9783659764820, Book Cover),
    (ISBN: International Standard Book Number System, Logo).
    Link to the Publisher.


B. Articles

  1. Sameen Ahmed Khan,
    The World of Synchrotrons,
    Resonance Journal of Science Education, Vol. 6, No. 11 77-84 (November 2001, Journal Front Cover and Journal Back Cover).
    (A Monthly Publication of IAS the Indian Academy of Sciences, Logo, Copublished with Springer, Logo).
    Also available from SpringerLink:
    Resonance Journal of Science Education, Vol. 6, No. 11 p p. 77-86 (November 2001, Journal Front Cover and Journal Back Cover).
    Digital Object Identifier (DOI, Logo): http://dx.doi.org/10.1007/BF02868247
    Larger Version: 11 pages, LANL E-Print archive http://arXiv.org/abs/physics/0112086/.
    * Cited in the Accelerators Section and the Synchrotrons Section of THE NET ADVANCE OF PHYSICS.
    (Review Articles and Tutorials in an Encyclopaedic Format).

  2. Sameen Ahmed Khan, Ramaswamy Jagannathan and Rajiah Simon,
    Foldy-Wouthuysen transformation and a quasiparaxial approximation scheme for the scalar wave theory of light beams,
    14 pages, LANL E-Print archive http://arXiv.org/abs/physics/0209082/
    (communicated).

  3. Sameen Ahmed Khan,
    An alternate way to obtain the aberration expansion in Helmholtz Optics,
    40 pages, LANL E-Print archive http://arXiv.org/abs/physics/0210001/.

  4. Sameen Ahmed Khan,
    Maxwell Optics: I. An exact matrix representation of the Maxwell equations in a medium,
    10 pages, LANL E-Print archive http://arXiv.org/abs/physics/0205083/.

  5. Sameen Ahmed Khan,
    Maxwell Optics: II. An Exact Formalism,
    23 pages, LANL E-Print archive http://arXiv.org/abs/physics/0205084/.

  6. Sameen Ahmed Khan,
    Maxwell Optics: III. Applications,
    13 pages, LANL E-Print archive http://arXiv.org/abs/physics/0205085/.

  7. Sameen Ahmed Khan,
    Wavelength-Dependent Effects in Maxwell Optics,
    58 pages, LANL E-Print archive http://arXiv.org/abs/physics/0210027/.

  8. Sameen Ahmed Khan,
    Introduction to Synchrotron Radiation,
    Bulletin of the IAPT, 19(5), 149-153 (May 2002).
    (IAPT: Indian Association of Physics Teachers, Logo).

  9. Sameen Ahmed Khan,
    Analogies between light optics and charged-particle optics,
    International Committee for Future Accelerators (ICFA, Logo) Beam Dynamics Panel Newsletter (Logo),
    No. 27, pp. 42-48 (June 2002).
    Editors: W. Chou, John M Jowett, C. Biscari, S. Chattopadhyay, S. Ivanov, H. Mais, J. Wei, and C. Zhang.
    LANL E-Print archive http://arXiv.org/abs/physics/0210028/.
    * Cited in the Optics Section of THE NET ADVANCE OF PHYSICS.
    (Review Articles and Tutorials in an Encyclopaedic Format).

  10. Sameen Ahmed Khan,
    Synchrotron Radiation (in Asia),
    ATIP Report, No. ATIP02.034, 28 pages (21 August 2002).
    (ATIP: The Asian Technology Information Program, Logo, Tokyo, Japan, 2002).

  11. Sameen Ahmed Khan,
    Electron Beams for Radiation,
    Kiran, 13(3), 40-42 (July 2002).
    (Kiran: the Bulletin of the Indian Laser Association, Logo).

  12. Sameen Ahmed Khan and Kurt Bernardo Wolf,
    Hamiltonian orbit structure of the set of paraxial optical systems,
    Journal of the Optical Society of America, A 19, 12, 2436-2444 (December 2002, Journal Cover).
    Digital Object Identifier (DOI, Logo): http://dx.doi.org/10.1364/JOSAA.19.002436
    The MR Number in The Mathematical Reviews Database: MR1946831 (2003k:78003) 78A10.
    Available from the Optics InfoBase http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-19-12-2436.
    * For a comprehensive account of the Hamiltonian Orbits, see the book (Twelfth Chapter in particular),
    Geometric Optics on Phase Space (see the Table of Contents) written by K. B. Wolf,
    (Springer, Logo, 2004, ISBN-10: 3540220399 and ISBN-13: 9783540220398, Book Cover).
    (ISBN: International Standard Book Number System, Logo).
    See the Book Review by K. H. Fisher in:
    Optik - International Journal for Light and Electron Optics, Volume 117, Issue 3, pp. 137 (March 2006, Journal Cover).
    Digital Object Identifier (DOI, Logo): http://dx.doi.org/10.1016/j.ijleo.2005.07.014

  13. Sameen Ahmed Khan,
    Wavelength-Dependent modifications in Helmholtz Optics,
    International Journal of Theoretical Physics, Volume 44, Number 1, p p. 95- 125 95-125 (January 2005, Journal Cover).
    Digital Object Identifier (DOI, Logo): http://dx.doi.org/10.1007/s10773-005-1488-0
    (Kluwer Academic Publishers, 2005).
    The MR Number in The Mathematical Reviews Database: MR2149430 (2006b:78005) 78A05 (81V10).

  14. Sameen Ahmed Khan,
    An Exact Matrix Representation of Maxwell's Equations,
    Physica Scripta Vol. 71 Issue 5 pp. 440-442 (2005).
    Digital Object Identifier (DOI, Logo): http://dx.doi.org/10.1238/Physica.Regular.071a00440
    (Also available from the Institute of Physics (IOP, Logo) Website. See the Abstract)
    The MR Number in The Mathematical Reviews Database: MR2165036 (2006f:78003) 78A02 (78A25).

  15. Sameen Ahmed Khan,
    The Foldy-Wouthuysen Transformation Technique in Optics,
    Optik - International Journal for Light and Electron Optics, Volume 117, Issue 10, pp. 481-488 (October 2006, Journal Cover).
    Digital Object Identifier (DOI, Logo): http://dx.doi.org/10.1016/j.ijleo.2005.11.010
    (Elsevier, Logo, 2006).
    (Available online since Friday the 17 February 2006).

  16. Sameen Ahmed KHAN,
    Wavelength-Dependent Effects in Light Beam Optics,
    Chapter 6 in
    New Topics in Quantum Physics Research,
    Editors: Volodymyr Krasnoholovets and Frank Columbus,
    (Nova Science Publishers, Logo, New York, 2006) pp. 163-204 (30 December 2006).
    (ISBN-10: 1600210287 and ISBN-13: 978-1600210280, Book Cover).
    (ISBN: International Standard Book Number System, Logo).

  17. Sameen Ahmed Khan,
    The Foldy-Wouthuysen Transformation Technique in Optics,
    Chapter 2 in
    Invited article for:
    Advances in Imaging and Electron Physics,
    Editor: Peter W. Hawkes,
    Vol. 152, 49-78 (Elsevier, Logo, August 2008).
    Digital Object Identifier (DOI, Logo): http://dx.doi.org/10.1016/S1076-5670(08)00602-2
    (ISBN: 0-12-374219-6, ISBN-10: 0123742196 and ISBN-13: 978-0-12-374219-3, Book Cover).
    Table of Contents.
    (ISBN: International Standard Book Number System, Logo).
    Also available from: ScienceDirect (Logo).
    * See the Preface

  18. Sameen Ahmed Khan,
    Maxwell Optics of Quasiparaxial Beams,
    Optik - International Journal for Light and Electron Optics, Volume 121, Issue 5, pp. 408-416 (March 2010, Journal Cover).
    Digital Object Identifier (DOI, Logo): http://dx.doi.org/10.1016/j.ijleo.2008.07.027
    (Elsevier, Logo, 2009).
    (Available online since Friday the 26 September 2008).

  19. Sameen Ahmed Khan,
    Can the photon velocity be derived from the Klein–Gordon equation?,
    Optik - International Journal for Light and Electron Optics, Volume 122, Issue 15, pp. 1324-1325 (August 2011, Journal Cover).
    Digital Object Identifier (DOI, Logo): http://dx.doi.org/10.1016/j.ijleo.2010.08.016
    (Elsevier, Logo, 2010).
    (Available online since Saturday the 23 October 2010).
    * The author of this note, questions any attempt to derive the ‘photon velocity’ and ‘photon mass’ from the Klein–Gordon equation.

  20. Sameen Ahmed Khan,
    Aberrations in Maxwell Optics,
    Optik - International Journal for Light and Electron Optics, Volume 125, Issue 3, pp. 968-978 (February 2014, Journal Cover).
    Digital Object Identifier (DOI, Logo): http://dx.doi.org/10.1016/j.ijleo.2013.07.097
    (Elsevier, Logo, 2014).
    (Available online since Saturday the 09 November 2013).

  21. Sameen Ahmed Khan,
    International Year of Light and History of Optics (IYL, Logo),
    Chapter 1 in
    Advances in Photonics Engineering, Nanophotonics and Biophotonics,
    Editor: Tanya Scott,
    (Nova Science Publishers, Logo, New York, 15 March 2016), pp. 1-56 (15 March 2016).
    (Hard Cover: pp. 1-56, ISBN-10: 163484498X and ISBN-13: 978-1-63484-498-7, Book Cover).
    (ebook: pp. 1-56, ISBN-10: 1634845307 and ISBN-13: 978-1-63484-530-4, Book Cover).
    (ISBN: International Standard Book Number System, Logo).
    Library of Congress Catalog Number: 2015050203, Logo).

  22. Sameen Ahmed Khan,
    Passage from Scalar to Vector Optics and the Mukunda-Simon-Sudarshan Theory for Paraxial Systems,
    Journal of Modern Optics, Volume 63, Issue 17, pp. 1652-1660 (September 2016, Journal Cover).
    Digital Object Identifier (DOI, Logo): http://dx.doi.org/10.1080/09500340.2016.1164257/
    (Taylor & Francis, Logo, 2016).
    (Available online since Friday the 25 March 2016, Logo).

  23. Sameen Ahmed Khan,
    Quantum Methodologies in Helmholtz Optics,
    Optik - International Journal for Light and Electron Optics, Volume 127, Issue 20, pp. 9798–9809 (October 2016, Journal Cover).
    Digital Object Identifier (DOI, Logo): http://dx.doi.org/10.1016/j.ijleo.2016.07.071
    (Elsevier, Logo, 2016).
    (Available online since Tuesday the 26 July 2016).

  24. Sameen Ahmed Khan,
    Quantum Methods in Light-Beam Optics,
    Optics & Photonics News (OPN, Logo), Vol. 27, No. 12, pp. 47 (December 2016, Journal Cover).
    (A publication of the OSA: Optical Society of America, Logo).
    * One of the thirty papers selected under the theme, Optics in 2016, highlighting the most exciting peer-reviewed optics research to have emerged over the past 12 months.
    * This work was strongly influenced by the Quantum theory of charged-particle beam optics. See the Doctoral Thesis on this topic.

  25. Sameen Ahmed Khan,
    Hamilton's Optical-Mechanical Analogy in the Wavelength-dependent Regime,
    Optik - International Journal for Light and Electron Optics, Volume 130 C, pp. 714-722 (February 2017, Journal Cover).
    Digital Object Identifier (DOI, Logo): http://dx.doi.org/10.1016/j.ijleo.2016.10.112.
    (Elsevier, Logo, 2017).
    (Available online since Wednesday the 02 November 2016).

  26. Sameen Ahmed Khan,
    Linearization of Wave Equations,
    Optik - International Journal for Light and Electron Optics, Volume 131, pp. 350-363 (February 2017, Journal Cover).
    Digital Object Identifier (DOI, Logo): http://dx.doi.org/10.1016/j.ijleo.2016.11.073.
    (Elsevier, Logo, 2017).
    (Available online since Wednesday the 16 November 2016).

  27. Sameen Ahmed Khan,
    Polarization in Maxwell Optics,
    Optik - International Journal for Light and Electron Optics, Volume 131, pp. 733-748 (February 2017, Journal Cover).
    Digital Object Identifier (DOI, Logo): http://dx.doi.org/10.1016/j.ijleo.2016.11.134.
    (Elsevier, Logo, 2017).
    (Available online since Monday the 28 November 2016).



C. Articles in Preparation


List of 37+ Writeups from the INSPIRE HEP (Logo), Originally SLAC SPIRES (Logo). List of 21+ Writeups from the LANL E-Print archive (see the Atom Feeds).

Some Publications from the American Mathematical Society (AMS, Logo) MathSciNet (Logo). List of 260+ Writeups from the Google Scholar (Logo).

Research in Charged-Particle Beam Optics.

Some Research Encounters:

  1. Number Theory.

  2. Crystallographic Studies of the 123-Superconductors (YBa2Cu3O7-x the Yttrium Barium Copper Oxide).

  3. SOC: Self-Organized Criticality (SandPiles).

  4. Integer Sequences in Resistor Networks.

  5. Quadratic Surfaces.

  6. Salt Solutions.


60+ Technical Writings

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MS WORD Version

215+ Non-Technical Writings (Popular Writings)

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In March 2005, I was appointed as the Regular Correspondent for the International Committee for Future Accelerators (ICFA, Logo) Beam Dynamics Panel Newsletters (Logo), for the region of Middle East & Africa. ICFA, the International Committee for Future Accelerators (Logo), provides a forum to discuss and implement plans for further promoting collaborative accelerator-based science. Its primary purpose is to strengthen collaboration in accelerator-based science, to encourage future projects, and to make recommendations to governments. See the International Committee for Future Accelerators (ICFA, Logo) Beam Dynamics Panel Newsletter (Logo), No. 36 (April 2005).
http://icfa-usa.jlab.org/archive/newsletter.shtml

Patents

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Integer Sequences

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MS WORD Version of the Integer Sequences

MS EXCEL Version of the Integer Sequences

List of the 35 Integer Sequences from the http://oeis.org/ (Logo)

http://oeis.org/wiki/User:Sameen_Ahmed_Khan.


Curriculum Vitae

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Fifty-nine Page MS Word Version of the Curriculum Vitae

Three Page Resume in MS WORD (view the PS and the PDF)

Eleven Page Resume in MS WORD (view the PS and the PDF)

Forty-one Page CV in MS WORD (view the PS and the PDF)

Versión en Español Octubre 2001 DVI Version, PS Version, O/Y PDF Version


MECIT Report (for the stay at the Middle East College of Information Technology, Logo)

SCOT Report (for the stay at the Salalah College of Technology, Logo)

The Oman Report: The Consolidated Report of my stay in the Sultanate of Oman (National Emblem); at the Middle East College of Information Technology (MECIT, Logo), Muscat and the Salalah College of Technology (SCOT, Logo), Salalah.
My Erdös Number and Einstein Number
My Academic Genealogy
Mathematics Genealogy Project (Logo, Entry No. 93310)

VIDWAN: EXPERT DATABASE
Online Profiles of Academic Community of Indian Universities
(Logo)
Persistent URL: https://vidwan.inflibnet.ac.in/profile/41991
View the Photographs, http://www.flickr.com/photos/rohelakhan/ at http://www.flickr.com/

For Copies of Preprints and Additional Information: [email protected]
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