PT Symmetry의 특이점(EP)을 활용한 군함 자이로스코프 개선 방안

이화섭^*

1해군 소령/해군 작전사령부 7기동전단 서애류성룡함 전투체계정비관

Improved Design of Gyroscope for a Naval Vessel Based on PT Symmetry’s Exceptional Point

Hwa-Seob Lee^*

1LCDR/Combat system maintenance officer, Combat System Department, Seoae Ryuseongryong Ship (DDG-993), 7th Fleet Command, Naval Operation Command, ROK Navy

Correspondence to: ^*Hwa-Seob Lee Tel: +82-42-559-7126 E-mail: hwaseob.lee.photonics@gmail.com

초록

본 연구는 비-에르미안의 특이점(EP)를 활용하여 함정 자세 정보를 제공하는 기존의 자이로의 측정 정확도를 향상할 수 있는 방안을 제시하였다. 비-에르미안 시스템이 실수의 고유값을 가지는 PT symmetry 조건과 이때의 수렴점(익셉셔널 포인트, exceptional point) 주위에서 외부 자극에 의한 주파수 분리가 기존 에르미안 시스템 대비 제곱근에 비례하여 향상될 수 있음을 모델링하였다. 마지막으로 메타 메터리얼을 자이로 광경로 상에 배치하여 이러한 특이점을 구현함으로써 기존 자이로 대비 측정 정확도가 향상될 수 있음을 모델링을 통해 제시하였다.

Abstract

In this study, Non-Hermitian system with its spectral degeneracy called as exceptional points (EPs) have been explored for improving the measurement sensitivity of ring layer gyroscopes in a Naval vessel. Special requirements of systems having real eigenvalues in Non-Hermitian systems have been discussed and numerically demonstrated that a frequency splitting can be enhanced by a square root topology near the exceptional point as a perturbation strength increases. As a result, a new ring laser gyroscope utilizing the exceptional point have been suggested and numerically demonstrates that a measurement sensitivity can be enhanced.

Keywords:

Naval Vessel, Ring Laser Gyroscope, Numerical Modeling, Non-Hermitian System, Exceptional Point

키워드:

해군 함정, 링 레이저 자이로스코프, 수학적 모델링, 비에르미안 체계, 특이점

Acknowledgments

이 논문은 2023년도 한국해군과학기술학회 동계학술대회 발표 논문임.

References

Payne, C. M. (Ed.). (2006). Principles of Naval Weapon Systems. Naval Institute Press.
Chow, W. W., Gea-Banacloche, J., Pedrotti, L. M., Sanders, V. E., Schleich, W., & Scully, M. O. (1985). The Ring Laser Gyro. Reviews of Modern Physics, 57(1), 61. [https://doi.org/10.1103/RevModPhys.57.61]
Northrop Grumman Corporation, “Ring Laser Gyro Navigator Inertial Navigation System, AN/WSN-7(V)1, -7(V)2, -7(V)3, PART NUMBERS CN-1695/WSN-7(V), CN-1696/WSN-7(V), and CN-1697/WSN-7(V); Operation and Maintenance, with Parts Lists,” https://navytribe.files.wordpress.com/2015/11/s9427-an-omp-010.pdf, ) (accessed on 29th Oct.).
Miller, D. A. (2008). Quantum Mechanics for Scientists and Engineers. Cambridge University Press. [https://doi.org/10.1017/CBO9780511813962]
Lee, H., Kananen, T., Soman, A., & Gu, T. (2019). Influence of Surface Roughness on Microring-based Phase Shifters. IEEE Photonics Technology Letters, 31(11), 813-816. [https://doi.org/10.1109/LPT.2019.2907224]
Bender, C. M., & Boettcher, S. (1998). Real Spectra in non-Hermitian Hamiltonians Having P T Symmetry. Physical Review Letters, 80(24), 5243. [https://doi.org/10.1103/PhysRevLett.80.5243]
Lee, H., Kecebas, A., Wang, F., Chang, L., Özdemir, S. K., & Gu, T. (2023). Chiral Exceptional Point and Coherent Suppression of Backscattering in Silicon Microring with Low Loss Mie Scatterer. eLight, 3(1), 20. [https://doi.org/10.1186/s43593-023-00043-5]
Feng, L., Zhu, X., Yang, S., Zhu, H., Zhang, P., Yin, X., ... & Zhang, X. (2014). Demonstration of a Large-scale Optical Exceptional Point Structure. Optics Express, 22(2), 1760-1767. [https://doi.org/10.1364/OE.22.001760]