## Transformation of radially traveling cylindrical waves between two skew cylindrical coordinate systems

JOSA A, Vol. 23, Issue 8, pp. 1884-1888 (2006)

http://dx.doi.org/10.1364/JOSAA.23.001884

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### Abstract

The transformation of radially traveling cylindrical waves between two cylindrical coordinate systems with skew (nonparallel) axes is derived for the first time to our knowledge. The analytical procedure is based on the complex integral representation of the Hankel function and appropriate contour deformation and change of variables to obtain a final Fourier transform expression of the cylindrical wave in the new system. Scalar and vector waves are considered. This new result is a powerful tool for the rigorous analysis of scattering and coupling in nonparallel optical fiber configurations.

© 2006 Optical Society of America

**OCIS Codes**

(000.3860) General : Mathematical methods in physics

(000.3870) General : Mathematics

(070.2590) Fourier optics and signal processing : ABCD transforms

(350.6980) Other areas of optics : Transforms

(350.7420) Other areas of optics : Waves

**ToC Category:**

Fourier Optics and Optical Signal Processing

**History**

Original Manuscript: November 14, 2005

Revised Manuscript: January 8, 2006

Manuscript Accepted: January 13, 2006

**Citation**

Ioannis D. Chremmos and Nikolaos K. Uzunoglu, "Transformation of radially traveling cylindrical waves between two skew cylindrical coordinate systems," J. Opt. Soc. Am. A **23**, 1884-1888 (2006)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-23-8-1884

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