Position measurement in standing wave interferometer for metrology of length

Lazar, Josef; Oulehla, Jindřich; Pokorný, Pavel; Fejfar, A.; Stuchlı́k, J.

doi:10.1117/12.913615

Cited by 4 publications

(3 citation statements)

References 14 publications

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“…Similar temperature measurement setup to measure the magnetic field photon number is expected to be also possible using materials whose field-matter interactions have been engineered to be sensitive to magnetic fields instead of electric fields, using, e.g., micro-coil sensors [18] or magnetic metamaterials [19] at least at microwave frequencies. Another possible measurement setup for the local electric field temperature could, for example, use the transparent intracavity photodetector studied by Lazar et al [20,21]. Measuring the electric field at equilibrium conditions using a movable transparent intracavity detector allows one to determine the electric LDOS since the photon number is known and constant.…”

Section: Thermal Balancementioning

confidence: 99%

Unified position-dependent photon-number quantization in layered structures

et al. 2014

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We have recently developed a position-dependent quantization scheme for describing the ladder and effective photon-number operators associated with the electric field to analyze quantum optical energy transfer in lossy and dispersive dielectrics [Phys. Rev. A, 89, 033831 (2014)]. While having a simple connection to the thermal balance of the system, these operators only described the electric field and its coupling to lossy dielectric bodies. Here we extend this field quantization scheme to include the magnetic field and thus to enable description of the total electromagnetic field and discuss conceptual measurement schemes to verify the predictions. In addition to conveniently describing the formation of thermal balance, the generalized approach allows modeling of the electromagnetic pressure and Casimir forces. We apply the formalism to study the local steady state field temperature distributions and electromagnetic force density in cavities with cavity walls at different temperatures. The calculated local electric and magnetic field temperatures exhibit oscillations that depend on the position as well as the photon energy. However, the effective photon number and field temperature associated with the total electromagnetic field is always position-independent in lossless media. Furthermore, we show that the direction of the electromagnetic force varies as a function of frequency, position, and material thickness.

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Section: Thermal Balancementioning

confidence: 99%

Unified position-dependent photon-number quantization in layered structures

et al. 2014

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“…Also, the control of the refractive index which is kept constant was suggested [37]. We proposed a concept with an over-determined counter-measuring interferometric displacement measuring setup [38–40] where the length in one axis was measured by two interferometers with their position fixed to a highly stable mechanical reference. In this contribution we present a new version of this concept with three interferometers with corner-cube reflectors where the overall length is not a sum value of two, but rather an independently measured value (Figure 1).…”

Section: Introductionmentioning

confidence: 99%

Refractive Index Compensation in Over-Determined Interferometric Systems

Lazar

Holá

Čížek

et al. 2012

Sensors

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Abstract:We present an interferometric technique based on a differential interferometry setup for measurement under atmospheric conditions. The key limiting factor in any interferometric dimensional measurement are fluctuations of the refractive index of air representing a dominating source of uncertainty when evaluated indirectly from the physical parameters of the atmosphere. Our proposal is based on the concept of an over-determined interferometric setup where a reference length is derived from a mechanical frame made from a material with a very low thermal coefficient. The technique allows one to track the variations of the refractive index of air on-line directly in the line of the measuring beam and to compensate for the fluctuations. The optical setup consists of three interferometers sharing the same beam path where two measure differentially the displacement while the third evaluates the changes in the measuring range, acting as a tracking refractometer. The principle is demonstrated in an experimental setup.

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“…The mechanical referencing simply cannot be avoided so we at least link one source of variations and uncertainty (refractive index) to another (mechanical). We proposed a concept with an overdetermined counter-measuring interferometric displacement measuring setup [22][23][24] where the length in one axis was measured by two interferometers with their position fixed to a highly stable mechanical reference. In this case the reference relied on a material with thermal stability low enough to overcome the uncertainty caused by fluctuations of the refractive index of air.…”

Section: Stabilization Of Wavelengthmentioning

confidence: 99%

Precision displacement interferometry with stabilization of wavelength on air

Lazar

Holá

Hrabina

et al. 2013

EPJ Web of Conferences

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Abstract. We present an interferometric technique based on differential interferometry setup for measurement in the subnanometer scale in atmospheric conditions. The motivation for development of this ultraprecise technique is coming from the field of nanometrology. The key limiting factor in any optical measurement are fluctuations of the refractive index of air representing a source of uncertainty on the 10 -6 level when evaluated indirectly from the physical parameters of the atmosphere. Our proposal is based on the concept of overdetermined interferometric setup where a reference length is derived from a mechanical frame made from a material with very low thermal coefficient on the 10 -8 level. The technique allows to track the variations of the refractive index of air on-line directly in the line of the measuring beam and to compensate for the fluctuations. The optical setup consists of three interferometers sharing the same beam path where two measure differentially the displacement while the third represents a reference for stabilization of the wavelength of the laser source. The principle is demonstrated on an experimental setup and a set of measurements describing the performance is presented.

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Position measurement in standing wave interferometer for metrology of length

Cited by 4 publications

References 14 publications

Unified position-dependent photon-number quantization in layered structures

Unified position-dependent photon-number quantization in layered structures

Refractive Index Compensation in Over-Determined Interferometric Systems

Precision displacement interferometry with stabilization of wavelength on air

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