Vector plane wave spectrum of an arbitrary polarized electromagnetic wave
Optics Express, Vol. 14, Issue 6, pp. 2095-2100 (2006)
http://dx.doi.org/10.1364/OE.14.002095
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Abstract
By using the method of modal expansions of the independent transverse fields, a formula of vector plane wave spectrum (VPWS) of an arbitrary polarized electromagnetic wave in a homogenous medium is derived. In this formula VPWS is composed of TM- and TE-mode plane wave spectrum, where the amplitude and unit polarized direction of every plane wave are separable, which has more obviously physical meaning and is more convenient to apply in some cases compared to previous formula of VPWS. As an example, the formula of VPWS is applied to the well-known radially and azimuthally polarized beam. In addition, vector Fourier-Bessel transform pairs of an arbitrary polarized electromagnetic wave with circular symmetry are also derived.
© 2006 Optical Society of America
OCIS Codes
(050.1960) Diffraction and gratings : Diffraction theory
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(260.2110) Physical optics : Electromagnetic optics
ToC Category:
Fourier Optics and Optical Signal Processing
History
Original Manuscript: January 20, 2006
Revised Manuscript: March 10, 2006
Manuscript Accepted: March 10, 2006
Published: March 20, 2006
Citation
Hanming Guo, Jiabi Chen, and Songlin Zhuang, "Vector plane wave spectrum of an arbitrary polarized electromagnetic wave," Opt. Express 14, 2095-2100 (2006)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-14-6-2095
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References
- A. Doicu and T. Wriedt, "Plane wave spectrum of electromagnetic beams," Opt. Commun. 136, 114-124 (1997). [CrossRef]
- L. W. Davis, "Theory of electromagnetic beams," Phys. Rev. A 19, 1177-1179 (1979). [CrossRef]
- P. Varga and P. Török, "Exact and approximate solutions of Maxwell’s equations for a confocal cavity," Opt. Lett. 21, 1523-1525 (1996). [CrossRef] [PubMed]
- S. R. Seshadri, "Electromagnetic Gaussian beam," J. Opt. Soc. Am. A 15, 2712-2719 (1998). [CrossRef]
- R. Martínez-Herrero, P. M. Mejías, S. Bosch and A. Carnicer, "Vectorial structure of nonparaxial electromagnetic beams," J. Opt. Soc. Am. A 18, 1678-1680 (2001). [CrossRef]
- P. Varga and P. Török, "The Gaussian wave solution of Maxwell’s equations and the validity of scalar wave approximation," Opt. Commun. 152, 108-118 (1998). [CrossRef]
- H. C. Kim and Y. H. Lee, "Hermite-Gaussian and Laguerre-Gaussian beams beyond the paraxial approximation," Opt. Commun. 169, 9-16 (1999). [CrossRef]
- A. Ciattoni, B. Crosignani, and P. D. Porto, "Vectorial free-space optical propagation: a simple approach for generating all-order nonparaxial corrections," Opt. Commun. 177, 9-13 (2000). [CrossRef]
- L. B. Felsen and N. Marcuvitz, Radiation and Scattering of Wave (IEEE PRESS, 1994), p. 183-252.
- R. H. Jordan and D. G. Hall, "Free-space azimuthal paraxial wave equation: the azimuthal Bessel-Gauss beam solution," Opt. Lett. 19, 427-429 (1994). [CrossRef] [PubMed]
- R. Oron, S. Blit, N. Davidson, A. A. Friesem, Z. Bomzon and E. Hasman, "The formation of laser beams with pure azimuthal or radial polarization," Appl. Phys. Lett. 77, 3322-3324 (2000). [CrossRef]
- P. M. Morse and H. Feshbach, Methods of Theoretical Physics (McGraw-Hill, 1953), p. 21-31.
- B. Richards and E. Wolf, "Electromagnetic diffraction in optical systems II. Structure of the image field in an aplanatic system," Proc. R. Soc. London, Ser. A 253, 358-370 (1959). [CrossRef]
- K. S. Youngworth and T. G. Brown, "Focusing of high numerical aperture cylindrical- vector beams," Opt. Express 7, 77-87 (2000), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-7-2-77. [CrossRef] [PubMed]
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