Topology optimization of microwave frequency dividing multiplexers
Autor: | Ahmad H. Bokhari, Emadeldeen Hassan, Eddie Wadbro |
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Jazyk: | angličtina |
Rok vydání: | 2023 |
Předmět: |
Optimization
Microwaves frequency Control and Optimization Beräkningsmatematik Material distribution Multiplexing equipment Material-distribution method Electric conductors Topology Topology optimization Annan elektroteknik och elektronik Objective functions Design domains Wave propagation Passive devices Other Electrical Engineering Electronic Engineering Information Engineering Topology optimisation Electromagnetics Multiplexer Computer Graphics and Computer-Aided Design Computer Science Applications Electromagnetic Computational Mathematics Control and Systems Engineering Material distribution method Microwave Optimization problems Software |
Popis: | We use material-distribution-based topology optimization to design a three-port frequency dividing multiplexer at microwave frequencies. That is, by placing a good electric conductor inside the design domain, we aim to design a passive device that splits the incoming signal’s frequencies into two frequency bands and transmits them to their respective output ports. The Helmholtz equation models the time-harmonic wave propagation problem. We solve the governing equation using the finite element method. The adjoint variable method provides the required gradients, and we solve the topology optimization problem using Svanberg’s MMA algorithm. In this study, we present a technique for modeling the distribution of a good electric conductor within the design domain. In addition, we derive a power balance expression, which aids in formulating a series of three objective functions. In each successive objective function, we add more information and evaluate its impact on the results. The results show that by selecting a suitable objective function, we achieve more than $$93.7\,\%$$ 93.7 % transmission for both the frequency bands. Moreover, the numerical experiments suggest that the optimization problem is self penalized and is sensitive to the initial design. |
Databáze: | OpenAIRE |
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