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PIER PIER B PIER C PIER M PIER Letters PIER Photonics
2022-11-08
On the Electrostatic Interaction Between Point Charges Due to Dielectrical Shielding
By
Long T. Nguyen,

    Dr. Long T. Nguyen

    High School for Gifted Students

    Hanoi University of Science, Vietnam National University

    Vietnam

    Homepage

Tuan K. Do,

    Dr. Tuan K. Do

    Department of Mathematics

    Princeton University

    USA

    Homepage

Duy V. Nguyen,

    Dr. Duy V. Nguyen

    Phenikaa Institute for Advanced Study

    Phenikaa University

    Vietnam

    Homepage

Trung V. Phan

    Dr. Trung V. Phan

    Department of Physics

    Princeton University

    USA

    Homepage

Progress In Electromagnetics Research Letters, Vol. 107, 111-118, 2022
doi:10.2528/PIERL22071401 | Google Scholar

Abstract
How will the electrostatic interaction between two point charges change if they are shielded from the other by a dielectrical slab? While the physical setting of this electromagnetic problem is relatively simple, it is easy to be wronged, and the correct solution is surprisingly complicated. Here we will show a general answer using the method of images, in which the electrical field is not found by solving the Poisson's equation but by superposing an infinite number of image charges to recurrently satisfy all interfaces' boundary conditions. We also obtain analytical and algebraic results in some special cases.
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Citation
Long T. Nguyen, Tuan K. Do, Duy V. Nguyen, and Trung V. Phan, "On the Electrostatic Interaction Between Point Charges Due to Dielectrical Shielding," Progress In Electromagnetics Research Letters, Vol. 107, 111-118, 2022.
doi:10.2528/PIERL22071401
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