Novel method for analyzing signal errors caused by polygonal approximations in the fabrication of diffractive elements

Ilkka J.P. Kallioniemi; Jyrki Saarinen; Kasimir Blomstedt; Jari Pekka Turunen

doi:10.1117/12.281229

24 September 1997 Novel method for analyzing signal errors caused by polygonal approximations in the fabrication of diffractive elements

Ilkka J.P. Kallioniemi, Jyrki Saarinen, Kasimir Blomstedt, Jari Pekka Turunen

Author Affiliations +

Proceedings Volume 3099, Micro-optical Technologies for Measurement, Sensors, and Microsystems II and Optical Fiber Sensor Technologies and Applications; (1997) https://doi.org/10.1117/12.281229
Event: Lasers and Optics in Manufacturing III, 1997, Munich, Germany

Abstract

We develop a novel and efficient method to simulate diffraction patterns in the far field and in the Fresnel region when the phase counters of a quantized diffractive optical element are approximated by arbitrary polygons. Approximation causes signal errors whose effects have not been extensively studied so far. We take the polygonal shapes into account without any further approximations in the simulation, in contrast to calculations based on direct application of the Fast Fourier Transform. The method is applied to diffractive Fresnel lenses, axicons and gratings with finite size.

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Ilkka J.P. Kallioniemi, Jyrki Saarinen, Kasimir Blomstedt, and Jari Pekka Turunen "Novel method for analyzing signal errors caused by polygonal approximations in the fabrication of diffractive elements", Proc. SPIE 3099, Micro-optical Technologies for Measurement, Sensors, and Microsystems II and Optical Fiber Sensor Technologies and Applications, (24 September 1997); https://doi.org/10.1117/12.281229

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KEYWORDS

Computer programming

Diffraction

Diffractive optical elements

Binary data

Fourier transforms

Fresnel lenses

Convolution

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