Abstract
A novel approximate analytical method is presented for calculating parameters of Whispering Gallery Mode (WGM) in a sapphire dielectric resonator (SDR). It is based on ray optics and wave theory. The frequency of WGM is computed with less computation time and the influence of sapphire’s parameters on the frequency is also analyzed. The Q value of SDR in the liquid helium temperature is optimized by adjusting the coupling coefficient and the surface roughness of the sapphire. According to the computed results, a SDR employing WGM at X-Band is fabricated. The loaded QL value reaches 4.0 × 108 and the eigen frequency is 9.205 GHz in the liquid helium temperature.
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References
Hartnett JG, Nand NR (2010) Ultra-low vibration pluse-tube cryocooler stabilized cryogenic sapphire oscillator with 10−16 fractional frequency stability. IEEE Trans Microw Theory Tech 10:1–8
Locke CR, Ivanov EN, Hartnett JG, Stanwix PL, Tobar ME (2008) Invited article: design techniques and noise properties of ultrastable cryogenically cooled sapphire-dielectric resonator oscillators. Rev Sci Instrum 79:1–12
Grop S, Bourgeois PY, Boudot R et al (2010) 10 GHz cryocooled sapphire oscillator with extremely low phase noise. Electron Lett 46:420–422
Hartnett JG, Tobar ME, Ivanov EN et al (2013) Optimum design of a high-Q room-temperature whispering-gallery-mode X-band sapphire resonator. IEEE Trans Ultrason Ferroelectr Freq Control 60:1041–1047
Tobar ME, Mann AG (1991) Resonant frequencies of higher order modes in cylindrical anisotropic dielectric resonators. IEEE Trans Microw Theory Tech 39:2077–2082
Ivanov EN, Blair DG, Kalinichev VI (1993) Approximate approach to the design of shielded dielectric disk resonators with whispering-gallery modes. IEEE Trans Microw Theory Tech 41:632–638
Taber RC, Flory CA (1995) Microwave oscillators incorporating cryogenic sapphire dielectric resonators. IEEE Trans Ultrason Ferroelectr Freq Control 42:111–119
Kobayashi Y, Senju T (1993) Resonant modes in shielded uniaxial-anisotropic dielectric rod resonators. IEEE Trans Microw Theory Tech 41:2198–2205
Fluhr C, Grop S, Dubois B et al (2016) Characterization of the individual short-term frequency stability of cryogenic sapphire oscillators at the 10−16 level. IEEE Trans Ultrason Ferroelectr Freq Control 63:915–921
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Zhu, X., Chen, H., Huang, K., Gao, L. (2018). Analytical Analysis Method of Whispering Gallery Mode of Sapphire Dielectric Resonators and the Optimization of the Q Value in Liquid Helium Temperature. In: Sun, J., Yang, C., Guo, S. (eds) China Satellite Navigation Conference (CSNC) 2018 Proceedings. CSNC 2018. Lecture Notes in Electrical Engineering, vol 497. Springer, Singapore. https://doi.org/10.1007/978-981-13-0005-9_51
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DOI: https://doi.org/10.1007/978-981-13-0005-9_51
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