Algorithm for the Computation of the Generalized Fresnel Integral

• Published in: IEEE transactions on antennas and propagation Vol. 59; no. 10; pp. 3943 - 3947
• Main Authors: Carluccio, G., Puggelli, F., Albani, M.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01-10-2011; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Accuracy; Algorithms; Antennas; Applied classical electromagnetism; Applied sciences; Arrays; Asymptotic diffraction theory; Diffraction; Diffraction, scattering, reflection; Electromagnetic wave propagation, radiowave propagation; Electromagnetism; electron and ion optics; Exact sciences and technology; Force; Fresnel integrals; Fresnel reflection; Fundamental areas of phenomenology (including applications); Geometrical theory of diffraction; Mathematical analysis; Physics; Radiocommunications; Radiowave propagation; Representations; Scattering; Telecommunications; Telecommunications and information theory; uniform theory of diffraction; Wedges; uniform theory of diffraction; Electromagnetic wave propagation; diffraction; Electromagnetic wave diffraction; Uniform field; Geometrical theory of diffraction; High frequency; Algorithm; Asymptotic diffraction theory
• ISSN: 0018-926X; 1558-2221
• DOI: 10.1109/TAP.2011.2163774

The generalized Fresnel Integral appears as a canonical function in the uniform ray field representation of several high-frequency diffraction mechanisms, such as double wedge or vertex diffraction. Here we propose an algorithm for its calculation which is valid both for real and imaginary arguments as required for treating the general case in the uniform geometrical theory of diffraction framework.