Note: Measuring capacitance and inductance of a helical resonator and improving its quality factor by mutual inductance alteration

Panja, Subhasis; De, Sun; Yadav, Sandeep; Gupta, Anurag

doi:10.1063/1.4919910

Cited by 14 publications

(5 citation statements)

References 12 publications

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“…The design parameters of our helical resonator are described in the earlier publications 15 , 16 . The antenna and the secondary coil have self inductances, L R 1 and L R 2 ; resistances, R R 1 and R R 2 and a parasitic capacitance, C R 1 .…”

Section: Methodsmentioning

confidence: 99%

“…Towards designing of a precision ion trap that will be used for building of a Yb-ion optical clock 13 , 14 , we have estimated electrical equivalent loads resulting from different sources and verified them experimentally. This helps us to build a desired helical resonator 15 , 16 and to estimate the BBR shift resulting from resistive heating of the ion-trap.…”

Section: Introductionmentioning

confidence: 99%

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Estimation of the ion-trap assisted electrical loads and resulting BBR shift

Sharma

Roy

Panja

et al. 2018

Sci Rep

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Capacitive, inductive and resistive loads of an ion-trap system, which can be modelled as LCR circuits, are important to know for building a high accuracy experiment. Accurate estimation of these loads is necessary for delivering the desired radio frequency (RF) signal to an ion trap via an RF resonator. Of particular relevance to the trapped ion optical atomic clock, determination of these loads lead to accurate evaluation of the Black-Body Radiation (BBR) shift resulting from the inaccurate machining of the ion-trap itself. We have identified different sources of these loads and estimated their values using analytical and finite element analysis methods, which are found to be well in agreement with the experimentally measured values. For our trap geometry, we obtained values of the effective inductive, capacitive and resistive loads as: 3.1 μH, 3.71 (1) μH, 3.68 (6) μH; 50.4 pF, 51.4 (7) pF, 40.7 (2) pF; and 1.373 Ω, 1.273 (3) Ω, 1.183 (9) Ω by using analytical, numerical and experimental methods, respectively. The BBR shift induced by the excess capacitive load arising due to machining inaccuracy in the RF carrying parts has been accurately estimated, which results to a fractional frequency shift of 6.6 × 10−17 for an RF of 1 kV at 2π × 15 MHz and with ±10 μm machining inaccuracy. This needs to be incorporated into the total systematic uncertainty budget of a frequency standard as it is about one order of magnitude higher than the present precision of the trapped ion optical clocks.

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Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Estimation of the ion-trap assisted electrical loads and resulting BBR shift

Sharma

Roy

Panja

et al. 2018

Sci Rep

Self Cite

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“…By purposefully degrading the impedance matching between the primary and secondary coils, the mutual inductance of the resonator coils is reduced [51], increasing Q. The voltage on the secondary coil scales with √ Q · P in , where P in is the coupled power.…”

Section: The Ion Trapmentioning

confidence: 99%

A cryogenic radio-frequency ion trap for quantum logic spectroscopy of highly charged ions

Leopold

King

Micke

et al. 2019

Review of Scientific Instruments

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A cryogenic radio-frequency ion trap system designed for quantum logic spectroscopy of highly charged ions is presented. It includes a segmented linear Paul trap, an in-vacuum imaging lens and a helical resonator. We demonstrate ground state cooling of all three modes of motion of a single 9 Be + ion and determine their heating rates as well as excess axial micromotion. The trap shows one of the lowest levels of electric field noise published to date. We investigate the magnetic-field noise suppression in cryogenic shields made from segmented copper, the resulting magnetic field stability at the ion position and the resulting coherence time. Using this trap in conjunction with an electron beam ion trap and a deceleration beamline, we have been able to trap single highly charged Ar 13+ (Ar XIV) ions concurrently with single Be + ions, a key prerequisite for the first quantum logic spectroscopy of a highly charged ion.

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“…[25] To trap ions within a radio-frequency (RF) trap, a high RF voltage is delivered to the trap electrodes to yield a deep pseudo potential well. Generally, the RF voltage is coupled to the trap with a helical resonator [26][27][28] which has a high Q-factor. The helical resonator is the key factor to get perfect impedance matching between the RF generator and the trap, then provides higher voltages per input power for the ion trap.…”

Section: Introductionmentioning

confidence: 99%

“…Thus, we consider using a precision potentiometer for the first time and realize the impedance matching by adjusting it. Compared with altering the physical properties of the antenna coil [26,27] or optimizing mutual separation of two coils, [28] our method of impedance matching is simpler.…”

Section: Introductionmentioning

confidence: 99%

New designed helical resonator to improve measurement accuracy of magic radio frequency

Guo¹,

Liu²,

Lee³

2022

Chinese Phys. B

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Based upon the new designed helical resonator, the RF resonant frequency for trapping ions can be consecutively adjusted in a large range (about 12 MHz to 29 MHz) with high Q-factors (above 300). We analyze the helical resonator with a lumped element circuit model and find that the theoretical results fit well with experiment data. With our resonator system, the resonant frequency near magic RF frequency (where the scalar Stark shift and the second-order Doppler shift due to excess micromotion cancel each other) can be continuously changed at kHz level. For 88Sr+ ion, compared to earlier results, the measurement accuracy of magic RF frequency can be improved by an order of magnitude upon rough calculation, and therefore the net micromotion frequency shifts can be further reduced. Also, the differential static scalar polarizability △α 0 of clock transition can be experimentally measured more accurately.

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Note: Measuring capacitance and inductance of a helical resonator and improving its quality factor by mutual inductance alteration

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Cited by 14 publications

References 12 publications

Estimation of the ion-trap assisted electrical loads and resulting BBR shift

Estimation of the ion-trap assisted electrical loads and resulting BBR shift

A cryogenic radio-frequency ion trap for quantum logic spectroscopy of highly charged ions

New designed helical resonator to improve measurement accuracy of magic radio frequency

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