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EM response of right angle dielectric wedge for normal incidence

  • Regular Article - Mesoscopic and Nanoscale Systems
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Abstract

The EM response of a right-angled dielectric wedge is studied theoretically when a plane wave is incident normally upon it. The solutions of Helmholtz’s wave equation for the dielectric structure are derived around the infinite dielectric-free space interface at \(y=0\) as radiation modes. The dielectric-free space interface is cut to make it a dielectric wedge which is immersed in an E-polarized incident field. The incident and scattered fields are coupled around the interface at \(x=0\) by Mode Matching to derive field continuity equations. These fields continuity equations are simplified by employing the orthogonal properties of the modes which reduced the problem into to a set of two simultaneous equations with an infinite number of unknowns, called mode amplitudes, which are truncated in actual numerical computation. These equations are solved simultaneously to get these mode amplitudes. The far field scattered powers in free space as well as within the wedge are calculated numerically.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: Our work is theoretical as well as numerical. Therefore, the data is generated by theoretical results to discuss the results in form of graphical plots , so, it is not a commercial data. That is why, the data is not deposited.]

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Acknowledgements

The author thanks Department of Electronics at the Quaid-i-Azam University, Islamabad for its hospitality during which time this work was commenced.

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Authors and Affiliations

  1. Department of Electronics, Quaid-i-Azam University, Islamabad, Pakistan

    M. Akbar

  2. Department of Physics, Quaid-i-Azam University, Islamabad, Pakistan

    Saeed Ahmed

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  1. M. Akbar
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  2. Saeed Ahmed
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Contributions

MA as Principal author has contributed in this article as conceptualization, methodology, visualization and numerical evaluation. SA contribution as a co-author is in the form of validation, formal analysis, investigation, writing—original draft, review and editing and supervision of the manuscript.

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Akbar, M., Ahmed, S. EM response of right angle dielectric wedge for normal incidence. Eur. Phys. J. B 95, 27 (2022). https://doi.org/10.1140/epjb/s10051-021-00260-2

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  • DOI: https://doi.org/10.1140/epjb/s10051-021-00260-2

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