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Influence analysis of Waverider wake on the deflection rate of light

Abstract

In the future, aircraft will have both high flight speed and high stealth characteristics, and its detection will become a complex problem. However, the disturbance generated by the high-speed aircraft is evident in its tail flow field, which can be treated as a new feature. In this paper, the flow field of a Waverider at different attitudes and speeds is investigated. By observing the deflection of a 532 nm light beam incident in different directions, the relationship between deflection magnitude and the Waverider’s attitude is established. As a result, the light will deflect most (\(8.82\times 10^{-5}\) rad/s) when Waverider with a 6 Ma flying speed and 0 angle of attack. While the mini deflection occurs when Waverider flies at 4 Ma speed and with a \(10^\circ \) angle of attack. By analyzing different conditions, this paper points out that the traveling length of light and magnitude of the scalar gradient in wake most positive correlate to the light deflection angle. As speed goes up, the wake becomes narrow, but the scalar gradient rises so that the light deflects most at Ma6. As the incident of light goes closer to horizon direction, its traveling length in wake rises, the max deflection usually with a corresponding incident direction of \(20^{\circ }\).

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Data availability

The data that support the findings of this study are available from the corresponding author upon reasonable request.

References

  1. Ahmad H, Tariq A, Shehzad A, Faheem MS, Shafiq M, Rashid IA, Afzal A, Munir A, Riaz MT, Haider HT et al (2019) Stealth technology: methods and composite materials—a review. Polym Compos 40(12):4457–4472

    Article  Google Scholar 

  2. Allmaras SR, Johnson FT (2012) Modifications and clarifications for the implementation of the Spalart–Allmaras turbulence model. In: Seventh international conference on computational fluid dynamics (ICCFD7), vol 1902, Big Island

  3. Ananth PB, Abhiram N, Krishna KH, Nisha M (2021) Synthesis of radar absorption material for stealth application. Mater Today Proc

  4. Ashraf R, Tabassum ST, Hossam-E-Haider M (2018) Analytical study of bi-static radar cross section with a comparison at S band and X band of F-117 nighthawk stealth aircraft. In: 2018 4th International conference on electrical engineering and information communication technology (iCEEiCT), pp 406–410

  5. Chen L, Deng X, Guo Z, Hou Z, Wang WK (2019) A novel approach for design and analysis of volume-improved osculating-cone Waveriders. Acta Astron 161:430–445

    Article  Google Scholar 

  6. Dvořáček F (2018) Survey of selected procedures for the indirect determination of the group refractive index of air. Acta Polytech 58(1):9–16

    Article  Google Scholar 

  7. Gogoi A, Dhamalekar A (2021) Shape optimization of nozzle for modern combat aircraft. In: AIAA Propulsion and Energy 2021 Forum, 3546

  8. Jang YS, Kim SW (2017) Compensation of the refractive index of air in laser interferometer for distance measurement: a review. Int J Precis Eng Manuf 18(12):1881–1890

    Article  Google Scholar 

  9. Kontogiannis K, Sóbester A, Taylor N (2017) Efficient parameterization of Waverider geometries. J Aircr 54(3):890–901

    Article  Google Scholar 

  10. Li L, Zhang X, Wang C, Pu L, Shi J, Wei S (2019) High-speed aircraft single channel SAR-GMTI based on neural network. In: IGARSS 2019—2019 IEEE international geoscience and remote sensing symposium, pp 1354–1357

  11. Picone J, Hedin A, Drob DP, Aikin A (2002) NRLMSISE-00 empirical model of the atmosphere: Statistical comparisons and scientific issues. J Geophys Res Space Phys 107(A12):SIA-15

  12. Polák D, Hovanec M, Korba P, Semrád K, Al-Rabeei S, Golisova M, Gašparovič P (2020) Hypersonic design optimization for ultra-high-speed aircraft transport. In: 2020 New trends in aviation development (NTAD). IEEE, pp 202–205

  13. Rasmussen M, Jischke M, Daniel D (1982) Experimental forces and moments on cone-derived Waveriders for m = 3 to 5. J Spacecr Rockets 19(6):592–598

    Article  Google Scholar 

  14. Takashima N, Lewis MJ (1999) Optimization of Waverider-based hypersonic cruise vehicles with off-design considerations. J Aircr 36(1):235–245

    Article  Google Scholar 

  15. Wei LY, Qi H, Niu ZT, Ren YT, Ruan LM (2019) Reverse Monte Carlo coupled with Runge–Kutta ray tracing method for radiative heat transfer in graded-index media. Infrared Phys Technol 99:5–13

    Article  Google Scholar 

  16. Xu B, Wang Y, Liu L (2018) Multi-stage boost aircraft trajectory optimization strategy based on HP adaptive gauss pseudo spectral method. In: 2018 10th International conference on modelling, identification and control (ICMIC), 1–7

  17. Yang G et al (2020) Integrability in constructive k-theory mathematical model for operation algorithms of an airship anti-stealth radar. Softw Eng Rev 1(1) (2020)

  18. Zhang Z, Yagi T, Arisawa T (1997) Ray-tracing model for stretcher dispersion calculation. Appl Opt 36(15):3393–3399

    Article  Google Scholar 

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Acknowledgements

The authors gratefully acknowledge the financial support of the National Natural Science Foundation of China (No. 11672183).

Funding

Funding was received from the National Natural Science Foundation of China (no. 11672183).

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All authors contributed to the study conception and design.

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Correspondence to Fang Chen.

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This article does not contain any studies with human or animal subjects performed by any of the authors.

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Guo, C., Chen, F. Influence analysis of Waverider wake on the deflection rate of light. AS (2022). https://doi.org/10.1007/s42401-022-00137-x

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  • DOI: https://doi.org/10.1007/s42401-022-00137-x

Keywords

  • Hypersonic
  • Target detection
  • Ray tracing method
  • Waverider
  • Light refraction