Evaluation method for the design results of space gravitational-wave telescopes

Li, Jiancong; Lin, Hongan; Huang, Yaozhang; Miao, Yu; Luo, Jiaxiong; Xiao, Zihao; Wang, Zhi; Wu, Yanxiong

doi:10.1088/1361-6501/acb167

Cited by 7 publications

(8 citation statements)

References 17 publications

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“…When gravitational waves pass through these measurement arms, the optical range difference caused by space-time changes is read by the interferometer. The measurement point of each interferometer arm is the TM within inertial sensors on this measurement arm, so each satellite contains two inertial sensors [17]. The inertial sensor consists of a housing, electrodes, and the TM of free-falling, as shown in figure 2.…”

Section: Charge Measurement Principlementioning

confidence: 99%

“…The finite element simulation is a powerful tool for solving practical problems because it can deal with the objects with complex geometries and under multiple physical fields [16][17][18][19], which can simulate the TM's dynamics with different parameters for effectively evaluating the measurement precision. Therefore, this study will construct the finite element model with the actual size of space inertial sensor and introduce five primary influence factors into the measurement process, namely, geometric structure, charge distribution, modulation voltage, interference voltage and relative motion of the TM and housing.…”

Section: Introductionmentioning

confidence: 99%

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Using finite element simulation to evaluate charge measurement precision for space inertial sensors

Chen,

Hong,

et al. 2024

Meas. Sci. Technol.

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Non-contact measurement and control are essential for accumulated charges on the test mass of space inertial sensors, as these charges can worsen the sensitivity of space-based gravitational wave detection. However, it is a challenge to evaluate measurement precision due to the limitations of experimental methods. In this study, the charge measurement process is described using an electrostatic force model, and five influence factors in terms of measurement precision are quantitatively evaluated through finite element simulation. The results indicate that the main contributors to mean relative errors are the geometric structure of inertial sensors and the charge distribution on the test mass. By correcting the capacitance gradient coefficient in the measurement model, the mean relative error caused by geometric structure can be reduced from 48% to 2%. Furthermore, the rotational modulation scheme demonstrates lower mean relative errors and relative standard deviations, making it a preferred scheme for charge measurement. This study provides a feasible approach to designing and evaluating the charge measurement scheme for space-based gravitational wave detection.

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Section: Charge Measurement Principlementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Using finite element simulation to evaluate charge measurement precision for space inertial sensors

Chen,

Hong,

et al. 2024

Meas. Sci. Technol.

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“…(5). Therefore, we could control the wavefront error and coupling coefficient simultaneously by applying the aforementioned methods 23 . According to the special design requirements of the Taiji telescope, we have established the design flowchart for optimization, as shown in Fig.…”

Section: Design and Optimizationmentioning

confidence: 99%

Optical system design of large-aperture space gravitational wave telescope

Miao

Lin

et al. 2023

Opt. Eng.

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.In the Taiji Program, the space gravitational wave (GW) telescope is an important component of the space laser interferometer, which is used to receive and transmit laser signals, and has strict requirements in terms of light intensity signals and tilt-to-length (TTL) noise. Therefore, the telescope has a particular design; it should have a large aperture to meet the demand for light intensity signals, and the TTL coupling noise should be suppressed in the design process. Based on the primary aberration theory, the solution of the four-mirror off-axis initial structure is described. According to the interference model of flat-topped and Gaussian beams, the coupling coefficient of wavefront error and TTL noise at the exit pupil of the telescope are analytically calculated using the average phase signal. The optimization method and design flow are established, considering the special requirements of the space GW telescope. The results indicate that the diameter of the telescope entrance pupil is 400 mm, and the system magnification is 80 × . The root mean square (RMS) value of wavefront errors is better than 0.00504 λ (λ = 1064 nm) within ±8 μrad of the scientific field of view, and the coupling coefficient is not more than 1.7 pm / μrad within ±600 μrad of jitter angle. The tolerance analysis of the design results shows that the RMS value and coupling coefficient meet the requirements of space GW detection. Therefore, the proposed design is a good candidate for the Taiji Program.

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“…Moreover, the Tianqin gravitational wave detector is an aperture conjugate system, effectively suppressing the diffraction effect. Therefore, the flat-top beam received by the receiving end telescope and transmitted through the telescope system to the detector can be represented as a flat-top beam [17][18][19] with wavefront aberration W(ρ,θ), where: (ρ,θ) .…”

Section: Calculation Model For Ttl Coupling Noise Inside the Telescopementioning

confidence: 99%

“…Lin's team proposed to suppress TTL coupling noise by requiring the ratio of any two wavefront error amplitudes and controlling the wavefront error amplitude requirements when superimposing noise [17]. Li established a sensitivity matrix mapping the telescope manufacturing errors and coupling coefficients based on the error amount and Zernike polynomials first-order sensitivity matrix, and analyzed the impact of telescope manufacturing errors on TTL noise coupling coefficients [18]. Xiao proposed that TTL error can be added as a piston term during pointing, which helps to bring the static point closer to the z-axis and reduce the phase noise detected at the static point [19].…”

Section: Introductionmentioning

confidence: 99%

The impact of telescope aberrations on the magnitude of tilt to length coupling noise in space based gravitational wave detectors

Fan,

Fang,

Hai

et al. 2023

Class. Quantum Grav.

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Tilt-to-length (TTL) coupling noise is one of the main noise sources that affect space gravitational wave detection, and the Tianqin project requires that the internal TTL coupling noise of the telescope used be less than 0.4 pm/Hz1/2 within the frequency band from 0.1 mHz to 1 Hz. In order to design a telescope that meets the requirements of TTL coupling noise and carry out preliminary error allocation research, it is necessary to analyze and calculate the TTL coupling noise, and then guide the design and optimization of the telescope system. This paper establishes a computational analysis model for the non-geometric TTL coupling noise inside the telescope using the first 36-order edge Zernike polynomials. A method was proposed to reduce the internal TTL coupling noise of the telescope by reducing the proportion of sensitive aberrations caused by non-geometric TTL coupling noise. Simulation results show that, with the RMS value of wavefront aberration at the telescope exit pupil unchanged, reducing the proportion of sensitive aberrations at the telescope exit pupil can effectively reduce the internal TTL coupling noise of the telescope. By optimizing the telescope optical system to reduce the proportion of noise-sensitive aberrations, the non-geometric TTL coupling noise inside the telescope has been reduced from 0.34 pm/Hz1/2 @ 0.1 mHz ∼ 1 Hz to 0.25 pm/Hz1/2. This result can provide some guidance for the design of telescope optics based on the suppression of internal TTL coupling noise in the telescope.

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Evaluation method for the design results of space gravitational-wave telescopes

Cited by 7 publications

References 17 publications

Using finite element simulation to evaluate charge measurement precision for space inertial sensors

Using finite element simulation to evaluate charge measurement precision for space inertial sensors

Optical system design of large-aperture space gravitational wave telescope

The impact of telescope aberrations on the magnitude of tilt to length coupling noise in space based gravitational wave detectors

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