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Virtual Journal for Biomedical Optics

Virtual Journal for Biomedical Optics

| EXPLORING THE INTERFACE OF LIGHT AND BIOMEDICINE

  • Editors: Andrew Dunn and Anthony Durkin
  • Vol. 8, Iss. 9 — Oct. 2, 2013

Diffraction of a plane wave by an infinitely long circular cylinder or a sphere: solution from Mie theory

Jianqi Shen and Xiaowei Jia  »View Author Affiliations


Applied Optics, Vol. 52, Issue 23, pp. 5707-5712 (2013)
http://dx.doi.org/10.1364/AO.52.005707


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Abstract

Diffraction of an infinitely long circular cylinder normally illuminated by a plane wave is discussed from the classical Mie theory. A rigorous expression of the diffracted light is obtained, which is simply characterized by a factor (θ/2)/sin(θ/2) and the sinc function sin(αθ)/(αθ). Numerical calculation shows an apparent difference between our results and those from scalar wave diffraction theory, especially in large diffraction angles. The factor (θ/2)/sin(θ/2) is introduced into the diffracted light by a sphere, which leads to an alternative approximation of the diffracted light.

© 2013 Optical Society of America

OCIS Codes
(050.1940) Diffraction and gratings : Diffraction
(290.4020) Scattering : Mie theory

ToC Category:
Scattering

History
Original Manuscript: March 20, 2013
Revised Manuscript: July 10, 2013
Manuscript Accepted: July 13, 2013
Published: August 7, 2013

Virtual Issues
Vol. 8, Iss. 9 Virtual Journal for Biomedical Optics

Citation
Jianqi Shen and Xiaowei Jia, "Diffraction of a plane wave by an infinitely long circular cylinder or a sphere: solution from Mie theory," Appl. Opt. 52, 5707-5712 (2013)
http://www.opticsinfobase.org/vjbo/abstract.cfm?URI=ao-52-23-5707

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