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  6. [Analysis Case] Scattering Analysis of Plane Waves by a Dielectric Sphere

[Analysis Case] Scattering Analysis of Plane Waves by a Dielectric Sphere

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last updated:Nov 22, 2022

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Using the software "PHOTO-WAVEjω"! Analyzing the scattered waves after hitting a sphere using the finite element method.

This is an example of estimating the scattered wave in the far field when a plane wave is incident on a scattering body, using the finite element method. A plane wave polarized in the X-axis direction is incident in the Z-axis direction, and the scattered wave after it hits this sphere is analyzed using the finite element method. Next, based on those results, the scattered wave in the far field is estimated using two different methods, and the results are compared. The shape is modeled in full. 【Software Used】 ■PHOTO-WAVEjω *For more details, please refer to the related links or feel free to contact us.

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[Analysis Case] Scattering Analysis of Plane Waves by a Dielectric Sphere

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【Analysis Conditions】 ■Analysis Model - A dielectric sphere (radius: a) surrounded by air (radius: R) - An "impedance boundary" is set at the outer perimeter of the air layer, applying a "non-reflective boundary condition" ■Incident Plane Wave - Magnitude: X-axis direction (real part) 1[V/m] (imaginary part) 0[V/m] - Propagation direction: Z-axis direction - Frequency: 20[GHz] Wavelength λ = 1.5×10^−2[m] ■Dielectric Sphere - Relative permittivity: 1.56 - Radius of the dielectric sphere (a) and radius of the air layer (R): 3 types ■Observation Point for Scattered Waves in the Far Field: Circle with a radius of 1.0[m] ■Estimation Method for the Far Field: Method based on external field calculations, method based on multipole expansion *For more details, please refer to the related links or feel free to contact us.

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At Photon, we are developing "electromagnetic field analysis software" that models and simulates products and components utilizing electromagnetic phenomena on computers. In traditional design and development environments, the process has primarily revolved around trial and error through prototypes based on the experience of engineers and experiments with those prototypes. However, conducting experiments with actual prototypes and analyzing the results requires significant time and cost. Moving forward, transitioning from an experimental and prototype-based approach to an analysis-based design is a critical issue for improving productivity, and establishing simulation technology as the core of analysis-based design techniques is a challenge. In this context, Photon is developing and providing "analysis software" focusing on electromagnetic fields, as well as heat, vibration, and sound fields. By utilizing Photon’s software, efficient development and design of various industrial products can be achieved. In this way, Photon aims to reduce the number of prototypes and development costs, shorten development periods in the manufacturing sites of our users, and ultimately support the enhancement of our users' competitiveness.

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