## Focusing of electromagnetic waves through a dielectric interface by lenses of finite Fresnel number

JOSA A, Vol. 15, Issue 12, pp. 3009-3015 (1998)

http://dx.doi.org/10.1364/JOSAA.15.003009

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### Abstract

The problem of vectorial diffraction of electromagnetic waves is addressed. An integral representation is obtained for a possibly high-aperture, finite-Fresnel-number lens and a homogeneous medium of propagation. The solution is given in terms of coherent superposition of plane electromagnetic waves with position coordinates scaled with the well-known Li–Wolf scaling factor [J. Opt. Soc. Am. A **1**, 801 (1984)]. This integral representation is then used to obtain formulas for the case in which light is focused through a plane dielectric interface. The solution is given by the linear combination of three functions, each of which consists of only a single integral. The aberration function, representing spherical aberration, is shown to be analytical. Numerical examples are given to demonstrate the effectiveness of the solution.

© 1998 Optical Society of America

**OCIS Codes**

(050.1960) Diffraction and gratings : Diffraction theory

(260.2110) Physical optics : Electromagnetic optics

**Citation**

Peter Török, "Focusing of electromagnetic waves through a dielectric interface by lenses of finite Fresnel number," J. Opt. Soc. Am. A **15**, 3009-3015 (1998)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-15-12-3009

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### References

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