Thermally induced refractive index fluctuations in transmissive optical components and their influence on the sensitivity of Einstein telescope

Meyer, Jan Christian; Dickmann, Walter; Kroker, Stefanie; Gaedtke, Mika; Dickmann, Johannes

doi:10.1088/1361-6382/ac6e21

Cited by 3 publications

(2 citation statements)

References 40 publications

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“…The acquired data has now unlocked the potential for novel optimizations in the blueprint of the detector. Furthermore, the influence of photoelasticity on ongoing laser stabilization cavities could constitute a notable noise source 14 . For this application, the available material will also lay the foundation for future enhancements and improvements of measurement sensitivity.…”

Section: Discussionmentioning

confidence: 99%

“…Additionally, however, statistical temperature fluctuations in optical components result in refractive index changes and subsequent phase fluctuations due to the influence of the photo-elastic coefficient. This phenomenon, known as photoelastic noise, plays a critical role in limiting the sensitivity of high-precision opto-mechanical measurements such as future gravitational wave detectors as the Einstein Telescope or Cosmic Explorer [14][15][16][17] . To address these limitations, cooling the optical components to cryogenic temperatures presents a potential solution to mitigate both birefringence and photoelastic noise.…”

Section: Introductionmentioning

confidence: 99%

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Temperature-dependent Photo-Elastic Coefficient of Silicon at 1550 nm

Dickmann,

Meyer,

Gaedtke

et al. 2023

Preprint

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This paper presents a study on the temperature dependent photo-elastic coefficient in single-crystal silicon with (100) and (110) orientations at a wavelength of 1550 nm. The measurement of the photo-elastic coefficient was performed using a polarimetric scheme across a wide temperature range from 5 K to 300 K. The experimental setup employed high-sensitivity techniques and incorporated automatic beam path correction, ensuring precise and accurate determination of the coefficient’s values. The results show excellent agreement with previous measurements at room temperature, specifically yielding a value of dn/dσ = −2.463 × 10-11 1/Pa for the (100) orientation. Interestingly, there is a significant difference in photo-elasticity between the different crystal orientations of approximately 50 %. The photo-elastic coefficient’s absolute value increases by approximately 40 % with decreasing temperature down to 5 K. These findings provide valuable insights into the photo-elastic properties of silicon and its behavior under varying mechanical stress, particularly relevant for optomechanical precision experiments like cryogenic gravitational wave detectors and microscale optomechanical quantum sensors.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Temperature-dependent Photo-Elastic Coefficient of Silicon at 1550 nm

Dickmann,

Meyer,

Gaedtke

et al. 2023

Preprint

View full text Add to dashboard Cite

show abstract

Temperature-dependent photo-elastic coefficient of silicon at 1550 nm

Dickmann,

Meyer,

Gaedtke

et al. 2023

Sci Rep

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This paper presents a study on the temperature dependent photo-elastic coefficient in single-crystal silicon with (100) and (110) orientations at a wavelength of 1550 nm. The measurement of the photo-elastic coefficient was performed using a polarimetric scheme across a wide temperature range from 5 to 300 K. The experimental setup employed high-sensitivity techniques and incorporated automatic beam path correction, ensuring precise and accurate determination of the coefficient’s values. The results show excellent agreement with previous measurements at room temperature, specifically yielding a value of $$dn/d\sigma = -2.463 \times 10^{-11}$$ d n / d σ = - 2.463 × 10 - 11 1/Pa for the (100) orientation. Interestingly, there is a significant difference in photo-elasticity between the different crystal orientations of approximately $$50\%$$ 50 % . The photo-elastic coefficient’s absolute value increases by approximately 40% with decreasing temperature down to 5 K. These findings provide valuable insights into the photo-elastic properties of silicon and its behavior under varying mechanical stress, particularly relevant for optomechanical precision experiments like cryogenic gravitational wave detectors and microscale optomechanical quantum sensors.

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Levitating the noise performance of ultra-stable laser cavities assisted by a deep neural network: the non-intuitive role of the mirrors

Dickmann¹,

Neto²,

Gaedtke

et al. 2023

Opt. Express

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The most precise measurand available to science is the frequency of ultra-stable lasers. With a relative deviation of 4 × 10−17 over a wide range of measuring times between one second and 100 seconds, the smallest effects in nature can thus be made measurable. To enable cutting-edge precision, the laser frequency is stabilized to an external optical cavity. This complex optical device must be manufactured to the highest standards and shielded from environmental influences. Given this assumption, the smallest internal sources of perturbation become dominant, namely the internal noise of the optical components. In this work, we present the optimization of all relevant noise sources from all components of the frequency-stabilized laser. We discuss the correlation between each individual noise source and the different parameters of the system and discover the significance of the mirrors. The optimized laser offers a design stability of 8 × 10−18 for an operation at room temperature for measuring times between one second and 100 seconds.

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Thermally induced refractive index fluctuations in transmissive optical components and their influence on the sensitivity of Einstein telescope

Cited by 3 publications

References 40 publications

Temperature-dependent Photo-Elastic Coefficient of Silicon at 1550 nm

Temperature-dependent Photo-Elastic Coefficient of Silicon at 1550 nm

Temperature-dependent photo-elastic coefficient of silicon at 1550 nm

Levitating the noise performance of ultra-stable laser cavities assisted by a deep neural network: the non-intuitive role of the mirrors

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