
Coded apertures or coded-aperture masks are grids, gratings, or other patterns of materials opaque to various wavelengths of electromagnetic radiation. The wavelengths are usually high-energy radiation such as
X-rays
X-rays (or rarely, ''X-radiation'') are a form of high-energy electromagnetic radiation. In many languages, it is referred to as Röntgen radiation, after the German scientist Wilhelm Conrad Röntgen, who discovered it in 1895 and named it ' ...
and
gamma rays
A gamma ray, also known as gamma radiation (symbol γ or \gamma), is a penetrating form of electromagnetic radiation arising from the radioactive decay of atomic nuclei. It consists of the shortest wavelength electromagnetic waves, typically sh ...
. By blocking radiation in a known pattern, a coded "shadow" is cast upon a plane. The properties of the original radiation sources can then be mathematically reconstructed from this shadow. Coded apertures are used in X- and gamma ray imaging systems, because these high-energy rays cannot be focused with lenses or mirrors that work for visible light.
Rationale

Imaging is usually done at optical wavelengths using lenses and mirrors. However, the energy of hard
X-ray
X-rays (or rarely, ''X-radiation'') are a form of high-energy electromagnetic radiation. In many languages, it is referred to as Röntgen radiation, after the German scientist Wilhelm Conrad Röntgen, who discovered it in 1895 and named it ' ...
s and
γ-rays is too high to be reflected or refracted, and simply passes through the lenses and mirrors of optical telescopes. Image modulation by apertures is therefore often used instead. The
pinhole camera
A pinhole camera is a simple camera without a lens but with a tiny aperture (the so-called '' pinhole'')—effectively a light-proof box with a small hole in one side. Light from a scene passes through the aperture and projects an inverted image ...
is the most basic form of such a modulation imager, but its disadvantage is low throughput, as its small aperture allows through little radiation. Only a tiny fraction of the light passes through the pinhole, which causes a low
signal-to-noise ratio
Signal-to-noise ratio (SNR or S/N) is a measure used in science and engineering that compares the level of a desired signal to the level of background noise. SNR is defined as the ratio of signal power to the noise power, often expressed in d ...
. To solve this problem, the mask can contain many holes, in one of several particular patterns, for example. Multiple masks, at varying distances from a detector, add flexibility to this tool. Specifically the
modulation collimator, invented by
Minoru Oda
Minoru is a masculine Japanese given name. Notable people with the name include:
* Minoru Arakawa (荒川 實, born 1946), Japanese former president of Nintendo of America
* Minoru Chiaki (千秋 実, 1917–1999), Japanese actor
* Minoru Fujita ...
, was used to identify the first cosmic X-ray source and thereby to launch the new field of
X-ray astronomy in 1965. Many other applications in other fields, such as
tomography
Tomography is imaging by sections or sectioning that uses any kind of penetrating wave. The method is used in radiology, archaeology, biology, atmospheric science, geophysics, oceanography, plasma physics, materials science, cosmochemistry, ...
, have since appeared.
In a coded aperture more complicated than a
pinhole camera
A pinhole camera is a simple camera without a lens but with a tiny aperture (the so-called '' pinhole'')—effectively a light-proof box with a small hole in one side. Light from a scene passes through the aperture and projects an inverted image ...
, images from multiple apertures will overlap at the detector array. It is thus necessary to use a computational algorithm (which depends on the precise configuration of the aperture arrays) to reconstruct the original image. In this way a sharp image can be achieved without a lens. The image is formed from the whole array of sensors and is therefore tolerant to faults in individual sensors; on the other hand it accepts more background radiation than a focusing-optics imager (e.g., a refracting or reflecting
telescope
A telescope is a device used to observe distant objects by their emission, absorption, or reflection of electromagnetic radiation. Originally meaning only an optical instrument using lenses, curved mirrors, or a combination of both to obse ...
), and therefore is normally not favored at wavelengths where these techniques can be applied.
The coded aperture imaging technique is one of the earliest forms of
computational photography
Computational photography refers to digital image capture and processing techniques that use digital computation instead of optical processes. Computational photography can improve the capabilities of a camera, or introduce features that were no ...
and has a strong affinity to
astronomical interferometry. Aperture-coding was first introduced by Ables
and Dicke
and later popularized by other publications.
Well known types of masks
Different mask patterns exhibit different image resolutions, sensitivities and background-noise rejection, and computational simplicities and ambiguities, aside from their relative ease of construction.
* FZP =
Fresnel Zone Plate
* ORA =
Optimized RAndom pattern
* URA = Uniformly Redundant Array
* HURA = Hexagonal Uniformly Redundant Array
[
Jean in 't Zand and Heiko Groeneveld]
"coded aperture instruments designed for astronomical observations"
* MURA =
Modified Uniformly Redundant Array
A modified uniformly redundant array (MURA) is a type of mask used in coded aperture imaging. They were first proposed by Gottesman and Fenimore in 1989.
Mathematical Construction of MURAs
MURAs can be generated in any length ''L'' that is pr ...
* Levin
Coded-aperture space telescopes
Spacelab-2 X-ray TelescopeXRT (1985)
*
Rossi X-ray Timing Explorer
The Rossi X-ray Timing Explorer (RXTE) was a NASA satellite that observed the time variation of astronomical X-ray sources, named after physicist Bruno Rossi. The RXTE had three instruments — an All Sky Monitor, the High-Energy X-ray Timing E ...
(RXTE) – ASM (1995–2012)
*
BeppoSAX
BeppoSAX was an Italian–Dutch satellite for X-ray astronomy which played a crucial role in resolving the origin of gamma-ray bursts (GRBs), the most energetic events known in the universe. It was the first X-ray mission capable of simultaneous ...
– Wide Field Camera (1996–2002)
*
INTEGRAL
In mathematics, an integral assigns numbers to functions in a way that describes displacement, area, volume, and other concepts that arise by combining infinitesimal data. The process of finding integrals is called integration. Along with ...
– IBIS and SPI (2002–present)
*
Swift
Swift or SWIFT most commonly refers to:
* SWIFT, an international organization facilitating transactions between banks
** SWIFT code
* Swift (programming language)
* Swift (bird), a family of birds
It may also refer to:
Organizations
* SWIFT ...
– BAT (2004–present)
*
Ultra-Fast Flash Observatory Pathfinder mission (launched 2016) and UFFO-100 (its next generation)
[A next generation Ultra-Fast Flash Observatory (UFFO-100) for IR/optical observations of the rise phase of gamma-ray bursts]
/ref>
* Astrosat
''Astrosat'' is India's first dedicated multi-wavelength space telescope. It was launched on a PSLV-XL on 28 September 2015. With the success of this satellite, ISRO has proposed launching '' AstroSat-2'' as a successor for ''Astrosat''. – CZTI (Launched in 2015)
* SVOM
The Space Variable Objects Monitor (SVOM) is a planned small X-ray telescope satellite under development by China National Space Administration (CNSA), Chinese Academy of Sciences (CAS) and the French Space Agency ( CNES), to be launched in th ...
– ECLAIRs (Projected launch in 2022)
* In addition, the SAS-3 and RHESSI missions detect radiation based on a combination of masks and rotational modulation
See also
*
* Computational photography
Computational photography refers to digital image capture and processing techniques that use digital computation instead of optical processes. Computational photography can improve the capabilities of a camera, or introduce features that were no ...
* Deconvolution
In mathematics, deconvolution is the operation inverse to convolution. Both operations are used in signal processing and image processing. For example, it may be possible to recover the original signal after a filter (convolution) by using a de ...
* Pinhole camera
A pinhole camera is a simple camera without a lens but with a tiny aperture (the so-called '' pinhole'')—effectively a light-proof box with a small hole in one side. Light from a scene passes through the aperture and projects an inverted image ...
*
* Rotational modulation collimator
* Tomographic reconstruction
Tomographic reconstruction is a type of multidimensional inverse problem where the challenge is to yield an estimate of a specific system from a finite number of projection (linear algebra), projections. The mathematical basis for tomographic imag ...
* X-ray computed tomography
X-rays (or rarely, ''X-radiation'') are a form of high-energy electromagnetic radiation. In many languages, it is referred to as Röntgen radiation, after the German scientist Wilhelm Conrad Röntgen, who discovered it in 1895 and named it ' ...
References
{{Reflist
External links
Coded Aperture Imaging in High-Energy Astronomy
*
* In the news
Sky-high system to aid soldiers. August 2008
Radiation
Observational astronomy
Physical computing