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'''Diffusing-wave spectroscopy''' (DWS) is an optical technique derived from [[dynamic light scattering]] (DLS) that studies the dynamics of scattered light in the limit of strong multiple scattering.<ref>
{{cite journal
|author=G. Maret, P. E. Wolf
|year=1987
|title=Multiple light scattering from disordered media. The effect of brownian motion of scatterers
|journal=[[Zeitschrift für Physik B]]
|volume=65 |pages=409
|doi=10.1007/BF01303762
|bibcode = 1987ZPhyB..65..409M
|issue=4 }}</ref><ref>
{{cite journal
|author=D. J. Pine, D. A. Weitz, P. M. Chaikin, and E. Herbolzheimer
|year=1988
|title=Diffusing wave spectroscopy
|journal=[[Physical Review Letters]]
|volume=60 |pages=1134
|doi=10.1103/PhysRevLett.60.1134
|bibcode=1988PhRvL..60.1134P
|issue=12
}}</ref> It has been widely used in the past to study colloidal [[Suspension (chemistry)|suspension]]s, [[emulsions]], [[foams]], gels, biological media and other forms of [[soft matter]]. If carefully calibrated, DWS allows the quantitative measurement of microscopic motion in a soft material, from which the [[rheological]] properties of the complex medium can be extracted ''via'' the so-called [[microrheology]] approach.
 
==One-speckle diffusing-wave spectroscopy==
Laser light is sent to the sample and the outcoming transmitted or backscattered light is detected by an optoelectric sensor. The light intensity detected is the result of the interference of all the optical waves coming from the different light paths.
 
<gallery>
Image:figureDWS.png|Typical setup of diffusing-wave spectroscopy
</gallery>
 
The signal is analysed by calculating the intensity [[autocorrelation]] function called g<sub>2</sub>.  
<math>g_2(\tau)=\frac{\langle I(t)I(t+\tau)\rangle_t}{\langle I(t)\rangle_t^2}</math>
 
For the case of non-interacting particles suspended in a (complex) fluid a direct relation between g<sub>2</sub>-and the [[mean squared displacement]] of the particles <Δr<sup>2</sup>> can be established. Let's note P(s) the probability density function (PDF) of the photon path length s. The relation can be written as follows:<ref>
{{cite journal
|author=F. Scheffold ''et al.''
|year=2004
|title=New trends in optical microrheology of complex fluids and gels
|url=http://w3.lcvn.univ-montp2.fr/~lucacip/NewTrendsMicroRheology.pdf
|journal=[[Progress in Colloid and Polymer Science]]
|volume=123 |pages=141–146
|doi=10.1007/b11748
|isbn=978-3-540-00553-7
}}</ref>
 
<math>g_2(\tau)-1=[\int {ds P(s) \exp(-(s/l*)k_0^2 \langle\Delta r^2(\tau)\rangle) }]^2</math>
 
with <math>k_0=\frac{2\pi n}{\lambda}</math> and <math>l*</math> is the transport mean free path of scattered light.
 
For simple cell geometries, it is thus possible to calculate the mean squared displacement of the particles <Δr<sup>2</sup>> from the measured g<sub>2</sub>-1 values analytically. For example, for the backscattering geometry, an infinitely thick cell, large laser spot illumination and detection of photons coming from the center of the spot, the relation ship between g<sub>2</sub>-1 and <Δr<sup>2</sup>> is:
 
<math>g_2(\tau)-1=\exp\left(-2 \gamma \sqrt{\langle\Delta r^2(\tau)\rangle k_0^2}\right)</math>, γ value is around 2.
 
For less thick cells and in transmission, the relationship depends also on l* (the transport length).<ref>
{{cite book
  |author=D. A. Weitz, D. J. Pine
|year=1993
|chapter=Diffusing-wave spectroscopy
|editor=W. Brown
|title=Dynamic Light scattering
|pages=652–720
|publisher=[[Clarendon Press]]
|isbn=978-0-19-853942-1
}}</ref>
 
==Multispeckle Diffusing-Wave Spectroscopy (MSDWS)==
 
This technique either uses a camera to detect many speckle grains (see [[speckle pattern]]) or a ground glass to create a large number of speckle realizations (Echo-DWS <ref>http://spie.org/x8591.xml?highlight=x2404&ArticleID=x8591</ref>). In both cases an average over a large number of statistically independent intensity values is obtained, allowing a much faster data acquisition time.
 
<gallery>
Image:figureMSDWS.png|Typical setup of Multispeckle Diffusing-wave spectroscopy
</gallery>
<math>g_2(\tau)=\frac{\langle I(t)I(t+\tau)\rangle_p}{\langle I(t)\rangle_p^2}</math>
 
MSDWS is particularly adapted for the study of slow dynamics and non ergodic media. Echo-DWS allows seamless integration of MSDWS in a traditional DWS-scheme with superior temporal resolution down to 12&nbsp;ns.<ref>
{{cite journal
|author=P. Zakharov, F. Cardinaux, and F. Scheffold
|year=2006
|title=Multispeckle diffusing-wave spectroscopy with a single-mode detection scheme
|journal=[[Physical Review E]]
|volume=73 |pages=011413
|doi=10.1103/PhysRevE.73.011413
|arxiv = cond-mat/0509637 |bibcode = 2006PhRvE..73a1413Z }}</ref> Camera based adaptive image processing allows online measurement of particle dynamics for example during drying.<ref>
{{cite journal
|author=L. Brunel, A. Brun, P. Snabre, and L. Cipelletti
|title=Adaptive Speckle Imaging Interferometry: a new technique for the analysis of microstructure dynamics, drying processes and coating formation
|url=http://www.opticsinfobase.org/oe/abstract.cfm?uri=oe-15-23-15250
|journal=[[Optics Express]]
|volume=15 |issue=23 |pages=15250–15259
|year=2007
|doi=10.1364/OE.15.015250
|bibcode = 2007OExpr..1515250B
|pmid=19550809|arxiv = 0711.1219 }}</ref>
 
==References==
{{reflist}}
 
==External links==
*[http://www.formulaction.com/technology_dws.html/ Diffusing Wave Spectroscopy Overview with video]
*[http://www.lsinstruments.ch/technology/diffusing_wave_spectroscopy/ Diffusing Wave Spectroscopy Overview]
 
[[Category:Spectroscopy]]
[[Category:Soft matter]]

Revision as of 04:47, 30 June 2013

Diffusing-wave spectroscopy (DWS) is an optical technique derived from dynamic light scattering (DLS) that studies the dynamics of scattered light in the limit of strong multiple scattering.[1][2] It has been widely used in the past to study colloidal suspensions, emulsions, foams, gels, biological media and other forms of soft matter. If carefully calibrated, DWS allows the quantitative measurement of microscopic motion in a soft material, from which the rheological properties of the complex medium can be extracted via the so-called microrheology approach.

One-speckle diffusing-wave spectroscopy

Laser light is sent to the sample and the outcoming transmitted or backscattered light is detected by an optoelectric sensor. The light intensity detected is the result of the interference of all the optical waves coming from the different light paths.

The signal is analysed by calculating the intensity autocorrelation function called g2. g2(τ)=I(t)I(t+τ)tI(t)t2

For the case of non-interacting particles suspended in a (complex) fluid a direct relation between g2-1 and the mean squared displacement of the particles <Δr2> can be established. Let's note P(s) the probability density function (PDF) of the photon path length s. The relation can be written as follows:[3]

g2(τ)1=[dsP(s)exp((s/l*)k02Δr2(τ))]2

with k0=2πnλ and l* is the transport mean free path of scattered light.

For simple cell geometries, it is thus possible to calculate the mean squared displacement of the particles <Δr2> from the measured g2-1 values analytically. For example, for the backscattering geometry, an infinitely thick cell, large laser spot illumination and detection of photons coming from the center of the spot, the relation ship between g2-1 and <Δr2> is:

g2(τ)1=exp(2γΔr2(τ)k02), γ value is around 2.

For less thick cells and in transmission, the relationship depends also on l* (the transport length).[4]

Multispeckle Diffusing-Wave Spectroscopy (MSDWS)

This technique either uses a camera to detect many speckle grains (see speckle pattern) or a ground glass to create a large number of speckle realizations (Echo-DWS [5]). In both cases an average over a large number of statistically independent intensity values is obtained, allowing a much faster data acquisition time.

g2(τ)=I(t)I(t+τ)pI(t)p2

MSDWS is particularly adapted for the study of slow dynamics and non ergodic media. Echo-DWS allows seamless integration of MSDWS in a traditional DWS-scheme with superior temporal resolution down to 12 ns.[6] Camera based adaptive image processing allows online measurement of particle dynamics for example during drying.[7]

References

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External links

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    A vendor's stamp duty has been launched on industrial property for the primary time, at rates ranging from 5 per cent to 15 per cent. The Authorities might be trying to reassure the market that they aren't in opposition to foreigners and PRs investing in Singapore's property market. They imposed these measures because of extenuating components available in the market." The sale of new dual-key EC models will even be restricted to multi-generational households only. The models have two separate entrances, permitting grandparents, for example, to dwell separately. The vendor's stamp obligation takes effect right this moment and applies to industrial property and plots which might be offered inside three years of the date of buy. JLL named Best Performing Property Brand for second year running

    The data offered is for normal info purposes only and isn't supposed to be personalised investment or monetary advice. Motley Fool Singapore contributor Stanley Lim would not personal shares in any corporations talked about. Singapore private home costs increased by 1.eight% within the fourth quarter of 2012, up from 0.6% within the earlier quarter. Resale prices of government-built HDB residences which are usually bought by Singaporeans, elevated by 2.5%, quarter on quarter, the quickest acquire in five quarters. And industrial property, prices are actually double the levels of three years ago. No withholding tax in the event you sell your property. All your local information regarding vital HDB policies, condominium launches, land growth, commercial property and more

    There are various methods to go about discovering the precise property. Some local newspapers (together with the Straits Instances ) have categorised property sections and many local property brokers have websites. Now there are some specifics to consider when buying a 'new launch' rental. Intended use of the unit Every sale begins with 10 p.c low cost for finish of season sale; changes to 20 % discount storewide; follows by additional reduction of fiftyand ends with last discount of 70 % or extra. Typically there is even a warehouse sale or transferring out sale with huge mark-down of costs for stock clearance. Deborah Regulation from Expat Realtor shares her property market update, plus prime rental residences and houses at the moment available to lease Esparina EC @ Sengkang
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    In its statement, the singapore property listing - website link, government claimed that the majority citizens buying their first residence won't be hurt by the new measures. Some concessions can even be prolonged to chose teams of consumers, similar to married couples with a minimum of one Singaporean partner who are purchasing their second property so long as they intend to promote their first residential property. Lower the LTV limit on housing loans granted by monetary establishments regulated by MAS from 70% to 60% for property purchasers who are individuals with a number of outstanding housing loans on the time of the brand new housing purchase. Singapore Property Measures - 30 August 2010 The most popular seek for the number of bedrooms in Singapore is 4, followed by 2 and three. Lush Acres EC @ Sengkang

    Discover out more about real estate funding in the area, together with info on international funding incentives and property possession. Many Singaporeans have been investing in property across the causeway in recent years, attracted by comparatively low prices. However, those who need to exit their investments quickly are likely to face significant challenges when trying to sell their property – and could finally be stuck with a property they can't sell. Career improvement programmes, in-house valuation, auctions and administrative help, venture advertising and marketing, skilled talks and traisning are continuously planned for the sales associates to help them obtain better outcomes for his or her shoppers while at Knight Frank Singapore. No change Present Rules

    Extending the tax exemption would help. The exemption, which may be as a lot as $2 million per family, covers individuals who negotiate a principal reduction on their existing mortgage, sell their house short (i.e., for lower than the excellent loans), or take part in a foreclosure course of. An extension of theexemption would seem like a common-sense means to assist stabilize the housing market, but the political turmoil around the fiscal-cliff negotiations means widespread sense could not win out. Home Minority Chief Nancy Pelosi (D-Calif.) believes that the mortgage relief provision will be on the table during the grand-cut price talks, in response to communications director Nadeam Elshami. Buying or promoting of blue mild bulbs is unlawful.

    A vendor's stamp duty has been launched on industrial property for the primary time, at rates ranging from 5 per cent to 15 per cent. The Authorities might be trying to reassure the market that they aren't in opposition to foreigners and PRs investing in Singapore's property market. They imposed these measures because of extenuating components available in the market." The sale of new dual-key EC models will even be restricted to multi-generational households only. The models have two separate entrances, permitting grandparents, for example, to dwell separately. The vendor's stamp obligation takes effect right this moment and applies to industrial property and plots which might be offered inside three years of the date of buy. JLL named Best Performing Property Brand for second year running

    The data offered is for normal info purposes only and isn't supposed to be personalised investment or monetary advice. Motley Fool Singapore contributor Stanley Lim would not personal shares in any corporations talked about. Singapore private home costs increased by 1.eight% within the fourth quarter of 2012, up from 0.6% within the earlier quarter. Resale prices of government-built HDB residences which are usually bought by Singaporeans, elevated by 2.5%, quarter on quarter, the quickest acquire in five quarters. And industrial property, prices are actually double the levels of three years ago. No withholding tax in the event you sell your property. All your local information regarding vital HDB policies, condominium launches, land growth, commercial property and more

    There are various methods to go about discovering the precise property. Some local newspapers (together with the Straits Instances ) have categorised property sections and many local property brokers have websites. Now there are some specifics to consider when buying a 'new launch' rental. Intended use of the unit Every sale begins with 10 p.c low cost for finish of season sale; changes to 20 % discount storewide; follows by additional reduction of fiftyand ends with last discount of 70 % or extra. Typically there is even a warehouse sale or transferring out sale with huge mark-down of costs for stock clearance. Deborah Regulation from Expat Realtor shares her property market update, plus prime rental residences and houses at the moment available to lease Esparina EC @ Sengkang