2014
DOI: 10.1364/ol.39.003242
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Silicon single-crystal cryogenic optical resonator

Abstract: We report on the demonstration and characterization of a silicon optical resonator for laser frequency stabilization, operating in the deep cryogenic regime at temperatures as low as 1.5 K. Robust operation was achieved, with absolute frequency drift less than 20 Hz over 1 hour. This stability allowed sensitive measurements of the resonator thermal expansion coefficient (α). We found α = 4.6 × 10 −13 K −1 at 1.6 K. At 16.8 K α vanishes, with a derivative equal to −6 × 10 −10 K −2 . The temperature of the reson… Show more

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Cited by 29 publications
(27 citation statements)
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“…2 shows the temperature over a period of approximately 420 days with a typical peakpeak variation of 30 mK. The thermal sensitivity of the resonator being |f 15,16], this corresponds to a peak-peak fractional frequency deviation < 4×10 −15 , which is not of importance here. On day 327 the operating temperature had to be raised to 1.55 K because of pressure increase in the JT stage.…”
Section: Fig 1: (Color Online)mentioning
confidence: 98%
“…2 shows the temperature over a period of approximately 420 days with a typical peakpeak variation of 30 mK. The thermal sensitivity of the resonator being |f 15,16], this corresponds to a peak-peak fractional frequency deviation < 4×10 −15 , which is not of importance here. On day 327 the operating temperature had to be raised to 1.55 K because of pressure increase in the JT stage.…”
Section: Fig 1: (Color Online)mentioning
confidence: 98%
“…For a 25-cm-long silicon cavity at 1.6 K, the sensitivity S is measured to be 3 × 10 −14 ∕μW in Ref. [15], while in our simulation for the same cavity, it is 4 × 10 −18 ∕μW. The biggest difference may arise from the CTE value of Ta 2 O 5 at a cryogenic temperature.…”
mentioning
confidence: 53%
“…Therefore, it is important to use accurate CTE values of the coating. However, to date the CTE of Ta 2 O 5 varies, i.e., 3.6 × 10 −6 or −4.4 × 10 −5 ∕K [14,15] , and its CTE at a cryogenic temperature was deduced to be 5.8 × 10 −7 ∕K by only one group [20] . The uncertainty of the coating CTE gives the biggest contribution to the simulation error.…”
mentioning
confidence: 99%
“…For example, at 20 K α Si (T = 20 K) = 4×10 −9 /K (Ref. 28) and α Cu (T = 20 K) = 0.27 × 10 −6 /K (Ref. 36).…”
Section: Coefficient Of Thermal Sensitivitymentioning
confidence: 99%