Forum for Science, Industry and Business

Sponsored by:     3M 
Search our Site:

 

Getting sharp images from dull detectors

13.10.2014

Operating in the fuzzy area between classical and quantum light

Observing the quantum behavior of light is a big part of Alan Migdall’s research at the Joint Quantum Institute.  Many of his experiments depend on observing light in the form of photons---the particle complement of light waves---and sometimes only one photon at a time, using “smart” detectors that can count the number of individual photons in a pulse. 


Coherent light passes through a pair of slits (top center). The two resulting concentric trains of waves will interfere, resulting in a fixed pattern when measured by a detector (top right). Non-coherent thermal light passes through slits and meets with a beam splitter (green plane), which reflects half the waves toward one detector and the other half toward a second detector (lower left). Each of the detectors records a temporary interference pattern (lower right). JQI/Kelley

Furthermore, to observe quantum effects, it is normally necessary to use a beam of coherent light, light for which knowing the phase or intensity for one part of the beam allows you to know things about distant parts of the same beam.

In a new experiment, however, Migdall and his JQI colleagues perform an experiment using incoherent light, where the light is a jumble of waves.  And they use what Migdall calls “stupid” detectors that, when counting the number of photons in a light pulse, can really only count up to zero, as anything more than zero befuddles these detectors and is considered as number that is known only to be more than zero.

Basically the surprising result is this: using incoherent light (with a wavelength of 800 nm) sent through a double-slit baffle, the JQI scientists obtain an interference pattern with fringes (the characteristic series of dark and light stripes denoting respectively destructive and constructive interference) as narrow as 30 nm.

This represents a new extreme in the degree to which sub-wavelength interference (to be defined below) has been pushed using thermal light and small-photon-number light detection.  The physicists were surprised that they could so easily obtain such a sharp interference effect using standard light detectors.  The importance of achieving sub-wavelength imaging is underscored by the awarding of the 2014 Nobel Prize for chemistry to scientists who had done just that.

The results of Migdall’s new work appear in the journal Applied Physics Letters (1).  Achieving this kind of sharp interference pattern could be valuable for performing a variety of high-precision physics and astronomy measurements.

BEATING THE DIFFRACTION LIMIT
When they pass through a hole or past a material edge, light waves will diffract---that is, a portion of the light will fan out as if the edge were a source of waves itself.  This diffraction will limit the sharpness of any imaging performed by the light.  Indeed, this diffraction limitation is one of the traditional features of classical optical science dating back to the mid 19th century.  What this principle says is that in using light with a certain wavelength (denoted by the Greek letter lambda) an object can in general be imaged with a spatial resolution roughly no finer than lambda.

  One can improve resolution somewhat by increasing lens diameters, but unless you can switch to light of shorter lambda, you are stuck with the imaging resolution you’ve got.  And since all the range of available wavelengths for visible light covers only a range of about 2, gaining much resolution by switching wavelengths requires exotic sources and optics. 

The advent of quantum optics and the use of “nonclassical light” dodged the diffraction limit.  It did this, in certain special circumstances, by considering light as consisting of particles and using the correlations between those particles 

The JQI experiment starts out with a laser beam, but it purposely degrades the coherence of the light by sending it through a moving disk of ground glass.  Thereafter the light waves propagating toward the measuring apparatus downstream originate from a number of places across the profile of the rough disk and are no longer coordinated in space and time (in contrast to laser light).  Experiments more than a decade ago, however, showed that “thermal” light (not unlike the light emitted haphazardly by an incandescent bulb) made this way, while incoherent over long times, is coherent for times shorter than some value easily controlled by the speed of the rotating ground glass disk.

Why should the JQI researchers use such thermal light if laser light is available?  Because in many measurement environments (such as light coming from astronomical sources) coherent light is not available, and one would nevertheless like to make sharp imaging or interference patterns.  And why use “stupid” detectors?  Because they are cheaper to use. 

THE EXPERIMENT
In the case of coherent light, a coordinated train of waves approach a baffle with two openings (figure, top).  The light waves passing through will interfere, creating a characteristic pattern as recorded by a detector, which is moved back and forth to record the arrival of light at various points.  The interference of coherent light yields a fixed pattern (right top in the figure).   By contrast, incoherent light waves, when they pass through the slits will also interfere (lower left), but will not create a fixed pattern.  Instead the pattern will change from moment to moment. 

In the JQI experiment, the waves coming through the slits meets with a beam splitter, a thin layer of material that reflects roughly half the waves at an angle of 90 degrees and transmits the other half straight ahead.  Each of these two portions of light will strike movable detectors which scan across sideways.  If the detectors could record a whole pattern, they would show that the pattern changes from moment to moment.  Adding up all these patterns washes out the result.  That is, no fringes would appear.

Things are different if you record not just the instantaneous interference pattern but rather a correlation between the two movable detectors.  Correlation, in this case, means answering this question: when detector 1 observes light at a coordinate x1 how often does detector 2 observe light at a coordinate x2?

Plotting such a set of correlations between the two detectors does result in an interference-like pattern, but it is important to remember that this is not a pattern of light and dark regions.  Instead, it is a higher order effect that tells you the probability of finding light “here” given that you found it “over there.”  Because scientists want to record those correlations over a range of separations between “here” and “over there” that includes separations that pass through zero, there is a problem. If the two locations are too close, the detectors would run into each other.

To avoid that a simple partially silvered mirror, commonly called a beam splitter, effectively makes two copies of the light field.  That way the two detectors can simultaneously sample the light from virtual positions that can be as close as desired and even pass through each other.  

And what about the use of stupid detectors, those for which each “click” denoting an arrival tells us only that more than zero photons have arrived? However, here the time structure of the incoming light pulse becomes important in clarifying the measurement. If we look at a short enough time, we can arrange that the probability of more than one photon is very low, so a click tells us that with good accuracy that indeed just one photon has arrived. But then if we design the light so that its limited coherence time is larger than the recovery time of our stupid detectors, it is possible for the detector to tell us that a specific number of photons were recorded, perhaps 3 or 10, not just the superfluous  “more than zero” answer.  “In this way, we get dumb detectors to act in a smart way,” says Migdall.

This improved counting the number of photons, or equivalently the intensity of the light at various places at the measuring screen, ensures that the set of correlations between the two detectors does result in an interference-like pattern in those correlations.  Not only that, but the fringes of this correlation pattern---the distance between the successive peaks---can be as small as 30 nm.

So while seeing an interference pattern could not be accomplished with dumb detectors, it could be accomplished by engineering the properties of the light source to accommodate the lack of ability of the detectors and then accumulating a pattern of correlation between two detectors.

Considering that the incoming light has a wavelength of 800 nm, the pattern is sharper by a factor of 20 or more from what you would expect if the diffraction limitation were at work.  The fact that the light used is thermal in nature, and not coherent, makes the achievement more striking.

This correlation method is not the same as imaging an object.  But the ease and the degree to which the conventional diffraction resolution limit could be surmounted will certainly encourage a look for specific applications that might take advantage of that remarkable feature. 
Reference Publication
"Direct measurement of sub-wavelength interference using thermal light and photon-number-resolved detection," Y. Zhai, F.E. Becerra, J. Fan, A. Migdall, Applied Physics Letters, 105, - (2014)
 
Research Contact
Alan Migdall
Migdall@nist.gov
 
Media Contact
Phillip Schewe|
pschewe@umd.edu
(301) 405-0989

Phillip F. Schewe | idw - Informationsdienst Wissenschaft
Further information:
http://jqi.umd.edu/news/getting-sharp-images-dull-detectors

More articles from Physics and Astronomy:

nachricht Prediction: More gas-giants will be found orbiting Sun-like stars
22.02.2017 | Carnegie Institution for Science

nachricht NASA's fermi finds possible dark matter ties in andromeda galaxy
22.02.2017 | NASA/Goddard Space Flight Center

All articles from Physics and Astronomy >>>

The most recent press releases about innovation >>>

Die letzten 5 Focus-News des innovations-reports im Überblick:

Im Focus: Breakthrough with a chain of gold atoms

In the field of nanoscience, an international team of physicists with participants from Konstanz has achieved a breakthrough in understanding heat transport

In the field of nanoscience, an international team of physicists with participants from Konstanz has achieved a breakthrough in understanding heat transport

Im Focus: DNA repair: a new letter in the cell alphabet

Results reveal how discoveries may be hidden in scientific “blind spots”

Cells need to repair damaged DNA in our genes to prevent the development of cancer and other diseases. Our cells therefore activate and send “repair-proteins”...

Im Focus: Dresdner scientists print tomorrow’s world

The Fraunhofer IWS Dresden and Technische Universität Dresden inaugurated their jointly operated Center for Additive Manufacturing Dresden (AMCD) with a festive ceremony on February 7, 2017. Scientists from various disciplines perform research on materials, additive manufacturing processes and innovative technologies, which build up components in a layer by layer process. This technology opens up new horizons for component design and combinations of functions. For example during fabrication, electrical conductors and sensors are already able to be additively manufactured into components. They provide information about stress conditions of a product during operation.

The 3D-printing technology, or additive manufacturing as it is often called, has long made the step out of scientific research laboratories into industrial...

Im Focus: Mimicking nature's cellular architectures via 3-D printing

Research offers new level of control over the structure of 3-D printed materials

Nature does amazing things with limited design materials. Grass, for example, can support its own weight, resist strong wind loads, and recover after being...

Im Focus: Three Magnetic States for Each Hole

Nanometer-scale magnetic perforated grids could create new possibilities for computing. Together with international colleagues, scientists from the Helmholtz Zentrum Dresden-Rossendorf (HZDR) have shown how a cobalt grid can be reliably programmed at room temperature. In addition they discovered that for every hole ("antidot") three magnetic states can be configured. The results have been published in the journal "Scientific Reports".

Physicist Dr. Rantej Bali from the HZDR, together with scientists from Singapore and Australia, designed a special grid structure in a thin layer of cobalt in...

All Focus news of the innovation-report >>>

Anzeige

Anzeige

Event News

Booth and panel discussion – The Lindau Nobel Laureate Meetings at the AAAS 2017 Annual Meeting

13.02.2017 | Event News

Complex Loading versus Hidden Reserves

10.02.2017 | Event News

International Conference on Crystal Growth in Freiburg

09.02.2017 | Event News

 
Latest News

Microhotplates for a smart gas sensor

22.02.2017 | Power and Electrical Engineering

Scientists unlock ability to generate new sensory hair cells

22.02.2017 | Life Sciences

Prediction: More gas-giants will be found orbiting Sun-like stars

22.02.2017 | Physics and Astronomy

VideoLinks
B2B-VideoLinks
More VideoLinks >>>