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## Diffraction of plane electromagnetic waves by a gradient dielectric cylinder

# V.V. Kotlyar ^{1,2}, M.A. Lichmanov ^{2}

^{1}Image Processing Systems Institute of RAS

^{2}Samara State Aerospace University

PDF, 11 kB

**Pages: **11-15.

**Abstract:**

The authors have developed a method for analyzing the diffraction of a plane electromagnetic wave by a gradient dielectric cylinder. This method is used as the basis for the calculation of diffraction patterns on transverse gradient cylindrical lenses: an inner Luneburg lens, a generalized Luneburg lens, and an Eaton-Lipman lens. It is shown by numerical examples that these lenses, with the dependences of the refractive index on the radial coordinate obtained in the framework of geometric (ray) optics, perform the functions of focusing (for Luneburg lenses) and reflecting (for Eaton-Lipman lenses), even if the lens radius is equal to the wavelength of light.

**Keywords**:

electromagnetic wave, dielectric cylinder, inner Luneburg lens, generalized Luneburg lens, Eaton-Lipman lens, geometric optics, ray optics, focusing, reflecting.

**Citation**:

Kotlyar VV, Lichmanov MA. Diffraction of plane electromagnetic waves by a gradient dielectric cylinder. Computer Optics 2003; 25: 11-15.

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**References:

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