Reference-free holographic diversity interferometry via iterative measurements for high accuracy phase detection

Goto, Yuta; Okamoto, Atsushi; Wakayama, Yuta; Ogawa, Kensuke; Nozawa, Jin; Tomita, Akira; Tsuritani, Takehiro

doi:10.1364/oe.24.024739

Cited by 6 publications

(4 citation statements)

References 29 publications

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“…On the other hand, weak measurements are no longer required in the proposed method, and the mechanism of wavefunction determination is more clear; that is, in front of the detector depicted in figure 4(e), the interference between the measured light (vertical polarization) and plane-wave self-reference light (horizontal polarization) leads to the direct measurement of wavefunctions. This mechanism of wavefunction determination-interference between measured light and plane-wave selfreference light-has been previously used in classical wavefront sensing applications [37]. Hence, the direct measurement of wavefunctions by weak measurements can be considered equivalent to a simple classical measurement technique-complex amplitude measurement using plane-wave self-reference light.…”

Section: Other Weak Value Measurement Methods In the Proposed Frameworkmentioning

confidence: 97%

A framework for measuring weak values without weak interactions and its diagrammatic representation

et al. 2019

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Weak values are typically obtained experimentally by performing weak measurements, which involve weak interactions between the measured system and a probe. However, the determination of weak values does not necessarily require weak measurements, and several methods without weak systemprobe interactions have been developed previously. In this work, a framework for measuring weak values is proposed to describe the relationship between various weak value measurement techniques in a unified manner. This framework, which uses a probe-controlled system transformation instead of the weak system-probe interaction, improves the understanding of the currently used weak value measurement methods. Furthermore, a diagrammatic representation of the proposed framework is introduced to intuitively identify the complex values obtained in each measurement system. By using this diagram, a new method for measuring weak values with a desired function can be systematically derived. As an example, a scan-free and more efficient direct measurement method of wavefunctions than the conventional techniques using weak measurements is developed.

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Section: Other Weak Value Measurement Methods In the Proposed Frameworkmentioning

confidence: 97%

A framework for measuring weak values without weak interactions and its diagrammatic representation

et al. 2019

Self Cite

View full text Add to dashboard Cite

show abstract

“…4(e), the interference between the measured light (vertical polarization) and planewave self-reference light (horizontal polarization) leads to the direct measurement of wavefunctions. This mechanism of wavefunction determination-interference between measured light and plane-wave self-reference light-has been previously used in classical wavefront sensing applications [34]. Hence, the direct measurement of wavefunctions by weak measurements can be considered equivalent to a simple classical measurement technique-complex amplitude measurement using plane-wave self-reference light.…”

Section: Application Of the Diagram-derivation Of A New Direct Measur...mentioning

confidence: 97%

A framework for measuring weak values without weak interactions and its diagrammatic representation

Ogawa,

Yasuhiko,

Kobayashi

et al. 2018

Preprint

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Weak values are typically obtained experimentally by performing weak measurements, which involve weak interactions between the measured system and a probe. However, the determination of weak values does not necessarily require weak measurements, and several methods without weak system-probe interactions have been developed previously. In this work, a framework for measuring weak values is proposed to describe the relationship between various weak measurement techniques in a unified manner. This framework, which uses a probe-controlled system transformation instead of the weak system-probe interaction, improves the understanding of the currently used weak value measurement methods. Furthermore, a diagrammatic representation of the proposed framework is introduced to intuitively identify the complex values obtained in each measurement system. By using this diagram, a new method for measuring weak values with a desired function can be systematically derived. As an example, a scan-free and more efficient direct measurement method of wavefunctions than the conventional techniques using weak measurements is developed.

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“…However, when trying to transmit the split beam to a remote site via free space, the wavefront distortion due to the atmosphere is inevitable for the reference beam as well as the signal beam. To solve these problems, a spatial filter (SF) method has been developed, [16][17][18] in which a plane wave component is extracted by using a SF from a signal beam after passing through a measurement target and used as a reference beam. This provides stable relative frequency.…”

Section: Introductionmentioning

confidence: 99%

Remote digital holography using a repeater laser for reference beam generation

Sakuma¹,

Imai²,

Arai³

et al. 2021

Jpn. J. Appl. Phys.

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We propose a repeater laser (RL) method to generate a reference beam with low relative frequency instability and stable optical power for remote digital holography (DH), in which a measurement target is large scale such as the atmosphere or laid optical fibers. An RL, a laser phase-locked to a signal beam, plays the role of a repeater of the optical frequency, and a beam from it is used as a reference beam. As a proof of principle, we experimentally demonstrate wavefront measurements using a phase-only spatial light modulator as a measurement target with known phase distribution. Results show that the remote DH using the RL method achieves the same measurement accuracy as local DH.

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Reference-free holographic diversity interferometry via iterative measurements for high accuracy phase detection

Cited by 6 publications

References 29 publications

A framework for measuring weak values without weak interactions and its diagrammatic representation

A framework for measuring weak values without weak interactions and its diagrammatic representation

A framework for measuring weak values without weak interactions and its diagrammatic representation

Remote digital holography using a repeater laser for reference beam generation

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