Noise and information in interferometric cross correlators

Hill, Kent B.; Basinger, Scott A.; Stack, Ronald A.; Brady, David J.

doi:10.1364/ao.36.003948

Cited by 9 publications

(3 citation statements)

References 32 publications

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“…(29) and with the exception of very fast detectors, fluctuations exist, but are usually too small to be even mentioned. Indeed, accurate measurements with fast detectors do reach the classical detection noise and can account for the influence of the interferometer on measured intensity fluctuations 11,12 . Figure 7 summarizes the cases illustrated by the previous simulations.…”

Section: The Law Of Interference and The Corresponding Fluctuationsmentioning

confidence: 99%

Teaching temporal coherence and the Wiener Khintchin theorem at a senior/graduate level

Chavel¹,

Jonathan

2002

SPIE Proceedings

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One important issue in teaching interferences is that two separate wavelengths usually do not interfere: any interference pattern is the spectral integral of all interference patterns of all monochromatic components. Although optical detectors are quadratic in nature, crossed terms involving two different frequencies in the expression of an interference pattern vanish. More precisely, while in non stationary signals such as ultrashort pulses two wavelengths can give rise to beating phenomena, this does not happen with the usual thermal light beams. The phenomenon is directly connected with the Wiener Khintchin theorem, and therefore with the principle of Fourier transform spectroscopy.In an introductory course, oversimplification leading to frustrating physical and mathematical deficiencies is hardly avoidable. In this communication, we suggest an introduction of this question at a senior/graduate level. Numerical simulations are used to provide an intuitive understanding of the phenomena. If the Wiener Khintchin theorem is introduced by defining the power spectrum from the infinite time limit of the ordinary Fourier transform of a gaussian windowed version of the signal, the mathematics are simple and the method offers a clear connection with the operation of real (i.e. finite time) detectors analysing interference fringes.

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Section: The Law Of Interference and The Corresponding Fluctuationsmentioning

confidence: 99%

Teaching temporal coherence and the Wiener Khintchin theorem at a senior/graduate level

Chavel¹,

Jonathan

2002

SPIE Proceedings

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“…1) It is well known that the SCF obeys the same wave equation as the laser light. 2) Recently, numerous interesting works on the measurement of SCF have been reported, including measurement of the SCF for the case of a broadband light source, 3) SCF measurement in the presence of thermal noise, 4) direct measurement of a transversally spatially localized optical field, 5) and higher dynamic range direct measurement of the SCF for a monochromatic field. 6) Another powerful method is to use the Wigner distribution function.…”

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confidence: 99%

Measurement of Coherence and Beam Parameter of a Propagating Laser Beam by using Wigner Distribution Function Measurement

Lee

Kang

Noh

2009

Appl. Phys. Express

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The spatial coherence and propagation property of a laser beam propagating through several optical components were studied experimentally by using the Wigner distribution function measurement method. It is shown experimentally that the total degree of coherence, the beam quality parameter, and the near and the far field information of the propagating beam can be obtained from the Wigner function measurement at one plane. More complete characterization of the laser beam was achieved by applying Schmidt mode decomposition to the Wigner distribution function, spatial coherence function, and directional coherence function, respectively. Fine details of the coherence property can be understood by the characteristics of the contributing eigenmodes.

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“…Unlike the Maxwell fields, Γ may be completely specified from intereferometric irradiance measurements. The mutual coherence of two incoherent fields can be measured using classical optical interferometry [4,5]. Techniques that seek to characterize the coherent E field, such as holographic imaging in spatial domain [6] or optical homodyne and heterodyne measurements in time domain [7] use irradiance detectors to characterize Γ 12 .…”

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confidence: 99%

Direct sampling of optical coherence using quantum interference

Kim,

Brady

2008

Preprint

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We describe a detector that measures the mutual coherence of two optical fields directly using quantum interference, free from photon noise of the individual irradiances. Our approach utilizes Raman transition in an atomic system where the state evolution is driven by the mutual coherence of the fields interacting with the atoms. Feedback control is used to balance the interaction of the fields being characterized, providing a measure of the mutual coherence. We show that the sensitivity of the coherence measurement can be enhanced significantly above that of conventional interferometric methods when the mutual coherence of the two fields is weak.

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Noise and information in interferometric cross correlators

Cited by 9 publications

References 32 publications

Teaching temporal coherence and the Wiener Khintchin theorem at a senior/graduate level

Teaching temporal coherence and the Wiener Khintchin theorem at a senior/graduate level

Measurement of Coherence and Beam Parameter of a Propagating Laser Beam by using Wigner Distribution Function Measurement

Direct sampling of optical coherence using quantum interference

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