# Integrated structural-electromagnetic optimization of cable mesh reflectors considering pattern degradation for random structural errors

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## Abstract

To alleviate the effects of random structural errors on the radiation performance and directly guide the structural design of cable mesh reflectors, an integrated structural-electromagnetic optimization procedure is proposed considering the radiation pattern degradation for random structural errors. Based on analytical expressions and the structural sensitivity concept, the radiation pattern is directly expressed as two matrix-form functions with respect to the random structural errors. By applying the pattern calculation into the multidisciplinary design and selecting the average boresight directivity as the objective function, an optimum result with better radiation performance compared with the traditional structural design is obtained. To reveal the fundamentals of the optimum result, the concept of sensitivity analysis of the average boresight directivity with respect to the random structural errors is introduced. The effectiveness and benefits of this study are demonstrated via an offset cable mesh reflector.

## Keywords

Cable mesh reflectors Random structural errors Integrated structural-electromagnetic design## Notes

### Acknowledgments

The authors would like to thank the reviewers and editor for their very beneficial comments and suggestion, which helped a lot in improving this paper.

### Funding information

This work was supported by the National Natural Science Foundation of China No. 51705388 and Young Talent fund of University Association for Science and Technology in Shaanxi, China.

### Compliance with ethical standards

### Conflict of interest

The authors declare that they have no conflict of interest.

### Replication of results

The presented results in both the structural and electromagnetic disciplines are produced by subroutines using our in-house codes, which compute the structural sensitivity matrices and the average radiation patterns for cable mesh reflectors with random structural errors, respectively. The optimization iteration is implemented with the help of fmincon in the optimization toolbox of MATLAB software. The code and data for producing the presented results will be made available by request.

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