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PIER PIER B PIER C PIER M PIER Letters PIER Photonics
2008-11-20
Diffraction of Plane Waves by a Slit in an Infinite Soft-Hard Plane
By
Muhammad Ayub,

    Prof. Muhammad Ayub

    Department of Mathematics

    Quaid-i-Azam University

    Pakistan

    Homepage

Amer Bilal Mann,

    Dr. Amer Bilal Mann

    Department of Mathematics

    Quaid-i-Azam University

    Pakistan

    Homepage

Muhammad Ramzan,

    Dr. Muhammad Ramzan

    Department of Mathematics

    Bahria University

    Pakistan

    Homepage

Mazhar Hussain Tiwana

    Dr. Mazhar Hussain Tiwana

    Department of Mathematics

    Quaid-i-Azam University

    Pakistan

    Homepage

Progress In Electromagnetics Research B, Vol. 11, 103-131, 2009
doi:10.2528/PIERB08101803 | Google Scholar

Abstract
We have studied the problem of diffraction of plane waves by a finite slit in an infinitely long soft-hard plane. Analysis is based on the Fourier transform, the Wiener-Hopf technique and the method of steepest descent. The boundary value problem is reduced to a matrix Wiener-Hopf equation which is solved by using the factorization of the kernel matrix. The diffracted field, calculated in the far-field approximation, is shown to be the sum of the fields (separated and interaction fields) produced by the two edges of the slit. Some graphs showing the effects of slit width on the diffracted field produced by two edges of the slit are also plotted.
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Citation
Muhammad Ayub, Amer Bilal Mann, Muhammad Ramzan, and Mazhar Hussain Tiwana, "Diffraction of Plane Waves by a Slit in an Infinite Soft-Hard Plane," Progress In Electromagnetics Research B, Vol. 11, 103-131, 2009.
doi:10.2528/PIERB08101803
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