Displacement Measurement Based on the Missing-Order Talbot Effect
Displacement measurement is a crucial application, with laser-based methods offering high precision and being well established in commercial settings. However, these methods often come with the drawbacks of significant size and exorbitant costs. We introduce a novel displacement measurement method t...
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| Format: | Article |
| Language: | English |
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MDPI AG
2025-01-01
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| Series: | Sensors |
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| Online Access: | https://www.mdpi.com/1424-8220/25/1/292 |
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| _version_ | 1841548909270269952 |
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| author | Liuxing Song Kailun Zhao Xiaoyong Wang Jinping He Guoliang Tian Shihua Yang Yaning Li |
| author_facet | Liuxing Song Kailun Zhao Xiaoyong Wang Jinping He Guoliang Tian Shihua Yang Yaning Li |
| author_sort | Liuxing Song |
| collection | DOAJ |
| description | Displacement measurement is a crucial application, with laser-based methods offering high precision and being well established in commercial settings. However, these methods often come with the drawbacks of significant size and exorbitant costs. We introduce a novel displacement measurement method that utilizes the missing-order Talbot effect. This approach circumvents the need to measure contrast in the Talbot diffraction field, opting instead to leverage the displacement within the missing-order Talbot diffraction pattern. Our method only requires parallel light, an amplitude grating, and a detector to achieve displacement measurement. The measurement dynamic range can be adjusted by altering the grating period and the wavelength of the incident light. Through careful simulation and experimental validation, our method exhibits a correlation coefficient <i>R</i> surpassing <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>0.999</mn></mrow></semantics></math></inline-formula> across a 30 mm dynamic range and achieves a precision superior to 3 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="sans-serif">μ</mi></semantics></math></inline-formula>m. |
| format | Article |
| id | doaj-art-3743ccc2d7e44459b0d1c728aa1bdca1 |
| institution | Kabale University |
| issn | 1424-8220 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Sensors |
| spelling | doaj-art-3743ccc2d7e44459b0d1c728aa1bdca12025-01-10T13:21:29ZengMDPI AGSensors1424-82202025-01-0125129210.3390/s25010292Displacement Measurement Based on the Missing-Order Talbot EffectLiuxing Song0Kailun Zhao1Xiaoyong Wang2Jinping He3Guoliang Tian4Shihua Yang5Yaning Li6College of Astronautics, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, ChinaBeijing Institute of Space Mechanics and Electricity, Beijing 100081, ChinaBeijing Institute of Space Mechanics and Electricity, Beijing 100081, ChinaBeijing Institute of Space Mechanics and Electricity, Beijing 100081, ChinaBeijing Institute of Space Mechanics and Electricity, Beijing 100081, ChinaBeijing Institute of Space Mechanics and Electricity, Beijing 100081, ChinaBeijing Institute of Space Mechanics and Electricity, Beijing 100081, ChinaDisplacement measurement is a crucial application, with laser-based methods offering high precision and being well established in commercial settings. However, these methods often come with the drawbacks of significant size and exorbitant costs. We introduce a novel displacement measurement method that utilizes the missing-order Talbot effect. This approach circumvents the need to measure contrast in the Talbot diffraction field, opting instead to leverage the displacement within the missing-order Talbot diffraction pattern. Our method only requires parallel light, an amplitude grating, and a detector to achieve displacement measurement. The measurement dynamic range can be adjusted by altering the grating period and the wavelength of the incident light. Through careful simulation and experimental validation, our method exhibits a correlation coefficient <i>R</i> surpassing <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>0.999</mn></mrow></semantics></math></inline-formula> across a 30 mm dynamic range and achieves a precision superior to 3 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="sans-serif">μ</mi></semantics></math></inline-formula>m.https://www.mdpi.com/1424-8220/25/1/292Talbot effectdisplacement measurementgratingmissing-order Talbot effectFFT |
| spellingShingle | Liuxing Song Kailun Zhao Xiaoyong Wang Jinping He Guoliang Tian Shihua Yang Yaning Li Displacement Measurement Based on the Missing-Order Talbot Effect Sensors Talbot effect displacement measurement grating missing-order Talbot effect FFT |
| title | Displacement Measurement Based on the Missing-Order Talbot Effect |
| title_full | Displacement Measurement Based on the Missing-Order Talbot Effect |
| title_fullStr | Displacement Measurement Based on the Missing-Order Talbot Effect |
| title_full_unstemmed | Displacement Measurement Based on the Missing-Order Talbot Effect |
| title_short | Displacement Measurement Based on the Missing-Order Talbot Effect |
| title_sort | displacement measurement based on the missing order talbot effect |
| topic | Talbot effect displacement measurement grating missing-order Talbot effect FFT |
| url | https://www.mdpi.com/1424-8220/25/1/292 |
| work_keys_str_mv | AT liuxingsong displacementmeasurementbasedonthemissingordertalboteffect AT kailunzhao displacementmeasurementbasedonthemissingordertalboteffect AT xiaoyongwang displacementmeasurementbasedonthemissingordertalboteffect AT jinpinghe displacementmeasurementbasedonthemissingordertalboteffect AT guoliangtian displacementmeasurementbasedonthemissingordertalboteffect AT shihuayang displacementmeasurementbasedonthemissingordertalboteffect AT yaningli displacementmeasurementbasedonthemissingordertalboteffect |