<p>A supplemental answer to <a href="https://astronomy.stackexchange.com/a/19511/7982">probably someone's answer</a>:</p>

<h2>Why this can indeed be called interferometry:</h2>

<p>Once one thinks in terms of physical optics (e.g. $\text{exp}(j(\omega t - \mathbf{k} \cdot \mathbf{r} ))$ ) instead of ray optics, imaging is always an interference problem, and the math behind correlating signals from an array of radio telescopes to produce an image is <em>not so much different than</em> the math behind calculating an intensity pattern at the focal plane of an optical telescope.</p>

<p>From the <em>Aperture Mask Interferometry</em> section on page 5 of the <a href="https://jwst.stsci.edu/files/live/sites/jwst/files/home/instrumentation/technical%20documents/jwst-pocket-guide.pdf" rel="nofollow noreferrer">JWST Pocket Guide</a> (see below) you can see that they have no problem using terms like "interferometry" and "non-redundant baselines" as one would when laying out a sparse pattern of dish antennas in an array. See for example a Google Maps image of the <a href="https://en.wikipedia.org/wiki/MeerKAT" rel="nofollow noreferrer">Meerkat Array</a> Core below, which has <a href="https://astronomy.stackexchange.com/q/16621/7982">already produced images</a> with only 16 sites occupied with active dishes.</p>

<p>While the mask shown in the question is a <em>pupil mask</em>, the pupil plane is conjugate to the telescope's aperture. So it's very similar to having seven large hexagonal holes in front of the JWST, or just using seven of the telescopes primary mirror's hexagonal mirror elements (with additional masking, these hexagons to not cover the full size of the individual elements, as shown in the illustration).</p>

<p>An important distinction though is that these seven small apertures are of the same order in size as their separation, while in a large radio telescope array, the spacing between receivers is usually somewhere between <em>much larger</em> and <em>much much larger</em> than the aperture of individual elements. So the analogy breaks down at this point.</p>

<h2>What Aperture Masking Interferometry is for:</h2>

<p>The purpose of using the mask is to enhance the system's resolution by narrowing the central peak of the point spread function compared to what you would get from the full aperture. </p>

<p>By loosing contrast in the full field due to diffraction artifacts, as well as loosing ~90% of the transmitted intensity, you can <em>enhance contrast</em> near the center of the field by narrowing the central diffractive peak, in this case in the range of 70 to 400 milli-arc seconds, according to the JAM Team's (JWST Aperture Masking Team) slides linked below. </p>

<p>From the first link:</p>

<blockquote>
  <p>Light admitted by 7 apertures in an otherwise opaque pupil mask interfere to produce an interferogram on the detector. This interfogram has a sharper core than is provided by normal "direct" imaging. The advantage is significant: while the ability to separate closely spaced objects with normal imaging is given by the familiar Rayleigh criterion (separation  δθ=1.22λ/Dδθ=1.22λ/D , where λ is the wavelength of light and D is the diameter of the telescope),  interferometry can resolve objects as close as δθ=0.5λ/Dδθ=0.5λ/D (the Michelson criterion).  AMI allows planetary or stellar companions that are up to ~9 magnitudes fainter than their host star and separated by 70–400 mas to be detected and characterized.  AMI  can also be used to reconstruct high-resolution maps of extended sources, such as active galactic nuclei.</p>
</blockquote>

<p>You can read more about it in: </p>

<ul>
<li>JWST's <a href="https://jwst-docs.stsci.edu/display/JTI/NIRISS+Aperture+Masking+Interferometry" rel="nofollow noreferrer">NIRISS Aperture Masking Interferometry</a></li>
<li>ArXiv <a href="https://arxiv.org/abs/1406.6882" rel="nofollow noreferrer">NIRISS aperture masking interferometry: an overview of science opportunities</a></li>
<li>The <em>JAM Team's:</em> <a href="https://jwst.nasa.gov/resources/Sivaramakrishnan2012_08_08_UMichAnnArbor.pdf" rel="nofollow noreferrer">Non-Redundant Aperture Masking Interferometry (AMI) and Segment Phasing with JWST-NIRISS</a></li>
</ul>

<p><a href="https://i.sstatic.net/OpPbi.jpg" rel="nofollow noreferrer"><img src="https://i.sstatic.net/OpPbi.jpg" alt="enter image description here"></a></p>

<p><strong>Below:</strong> MeerKAT <em>array core</em> from Google Maps at (30.7136109S, 21.4399576E).</p>

<p><a href="https://i.sstatic.net/l9OXm.jpg" rel="nofollow noreferrer"><img src="https://i.sstatic.net/l9OXm.jpg" alt="enter image description here"></a></p>

CC BY-SA 3.0
2017-12-26T09:25:11.613Z
Allow me to suggest you should accept your own answer.
ProfRob
CC BY-SA 3.0
2017-12-26T17:15:28.807Z
@RobJeffries alas, I didn't ask the question, but thanks anyway :-)
uhoh
CC BY-SA 3.0
2017-12-26T08:19:39.653Z
2017-12-26T08:40:03.643Z
2017-12-26T08:40:03.643Z
uhoh
<p>The reason you would want to cover most of your aperture is so you can point directly at a huge light source (i.e. a star), but ignore most of the light coming from it. This makes it easier to directly detect faint features around the source that would ordinarily be washed out by the light from the source itself (i.e. planets and the like). I believe this is what LocalFluff was getting at with "advanced coronagraphy," and I don't believe it has anything to do with interferometery.</p>

CC BY-SA 3.0
2017-12-26T08:21:06.393Z
Depending on how you look at it, imaging is always a kind of interferometry. See [supplemental answer](https://astronomy.stackexchange.com/a/24182/7982).
uhoh
CC BY-SA 3.0
2017-12-26T09:27:03.120Z
Aperture masking certainly is about interferometry. https://en.m.wikipedia.org/wiki/Aperture_masking_interferometry
ProfRob
CC BY-SA 3.0
2016-12-25T13:35:24.247Z
2016-12-25T13:35:24.247Z
probably_someone
<p><a href="http://www.stsci.edu/jwst/instruments/niriss/ObservationModes/ami" rel="noreferrer">NIRISS</a> is an instrument on the James Webb Space Telescope. It has a <em>"non-redundant aperture mask"</em> which obviously covers most of the area of the sensor. It seems to be advantageous for high contrast imaging (like finding an exoplanet next to a star) and an alternative to <a href="https://en.wikipedia.org/wiki/Coronagraphhttps://en.wikipedia.org/wiki/Coronagraph" rel="noreferrer">coronagraphs</a>. But however does that work? Why is it good to cover most of a sensor?</p>

<p>I have associated interferometers with creating as large as possible baselines for higher resolution, like the Very Large Baseline Array and the <a href="https://en.wikipedia.org/wiki/Spektr-R" rel="noreferrer">Spectr-R</a> radio space telescope which gives up to a 390,000 km long baseline. So what is the magic with sacrificing sensor area to turn a single small telescope into an interferometer? Aren't all photons welcome? Would such an instrument do as well with a correspondingly smaller main mirror (maybe in separate fragments)?</p>

<p><a href="https://i.sstatic.net/muKIp.png" rel="noreferrer"><img src="https://i.sstatic.net/muKIp.png" alt="enter image description here"></a></p>

CC BY-SA 3.0
2015-10-30T20:32:24.683Z
I'm pretty sure you are confusing the terminology. Iterferometry works differently in radio than it does in IR/VIS/UV. Also, "high contrast imaging" is pretty much exactly what coronography is.
Donald.McLean
CC BY-SA 3.0
2015-10-30T21:10:54.030Z
@Donald.McLean Interferometry is easier in longer wavelengths, but I suppose that it is gradual. This is a single IR sensor masked to become an interferometry, unless I totally misunderstand everything here (which is quite possible concerning the magics of interferometry the physics of which is exotic to me). Is it just about some kind of advanced coronagraphy? Covering the sensor in a smarter way than with just a circle in the middle?
LocalFluff
<telescope><optics><infrared><interferometry>
What makes small interferometers useful? Like NIRISS on JWST
LocalFluff
# What makes small interferometers useful? Like NIRISS on JWST

(Asked by: username_0 on 2015-10-30)

[NIRISS](http://www.stsci.edu/jwst/instruments/niriss/ObservationModes/ami) is an instrument on the James Webb Space Telescope. It has a *"non-redundant aperture mask"* which obviously covers most of the area of the sensor. It seems to be advantageous for high contrast imaging (like finding an exoplanet next to a star) and an alternative to [coronagraphs](https://en.wikipedia.org/wiki/Coronagraphhttps://en.wikipedia.org/wiki/Coronagraph). But however does that work? Why is it good to cover most of a sensor?

I have associated interferometers with creating as large as possible baselines for higher resolution, like the Very Large Baseline Array and the [Spectr-R](https://en.wikipedia.org/wiki/Spektr-R) radio space telescope which gives up to a 390,000 km long baseline. So what is the magic with sacrificing sensor area to turn a single small telescope into an interferometer? Aren't all photons welcome? Would such an instrument do as well with a correspondingly smaller main mirror (maybe in separate fragments)?

[![enter image description here](https://i.sstatic.net/muKIp.png)](https://i.sstatic.net/muKIp.png)

**Tags:** telescope, optics, infrared, interferometry
> **Comments:**
> **username_1**: I'm pretty sure you are confusing the terminology. Iterferometry works differently in radio than it does in IR/VIS/UV. Also, "high contrast imaging" is pretty much exactly what coronography is.  
> **username_0**: @Donald.McLean Interferometry is easier in longer wavelengths, but I suppose that it is gradual. This is a single IR sensor masked to become an interferometry, unless I totally misunderstand everything here (which is quite possible concerning the magics of interferometry the physics of which is exotic to me). Is it just about some kind of advanced coronagraphy? Covering the sensor in a smarter way than with just a circle in the middle?  

---

## 2 answers

### Answer by username_2 on 2017-12-26. Score: 3 | Accepted answer

A supplemental answer to [probably someone's answer](https://astronomy.stackexchange.com/a/19511/7982):

## Why this can indeed be called interferometry:

Once one thinks in terms of physical optics (e.g. $\text{exp}(j(\omega t - \mathbf{k} \cdot \mathbf{r} ))$ ) instead of ray optics, imaging is always an interference problem, and the math behind correlating signals from an array of radio telescopes to produce an image is *not so much different than* the math behind calculating an intensity pattern at the focal plane of an optical telescope.

From the *Aperture Mask Interferometry* section on page 5 of the [JWST Pocket Guide](https://jwst.stsci.edu/files/live/sites/jwst/files/home/instrumentation/technical%20documents/jwst-pocket-guide.pdf) (see below) you can see that they have no problem using terms like "interferometry" and "non-redundant baselines" as one would when laying out a sparse pattern of dish antennas in an array. See for example a Google Maps image of the [Meerkat Array](https://en.wikipedia.org/wiki/MeerKAT) Core below, which has [already produced images](https://astronomy.stackexchange.com/q/16621/7982) with only 16 sites occupied with active dishes.

While the mask shown in the question is a *pupil mask*, the pupil plane is conjugate to the telescope's aperture. So it's very similar to having seven large hexagonal holes in front of the JWST, or just using seven of the telescopes primary mirror's hexagonal mirror elements (with additional masking, these hexagons to not cover the full size of the individual elements, as shown in the illustration).

An important distinction though is that these seven small apertures are of the same order in size as their separation, while in a large radio telescope array, the spacing between receivers is usually somewhere between *much larger* and *much much larger* than the aperture of individual elements. So the analogy breaks down at this point.

## What Aperture Masking Interferometry is for:

The purpose of using the mask is to enhance the system's resolution by narrowing the central peak of the point spread function compared to what you would get from the full aperture.

By loosing contrast in the full field due to diffraction artifacts, as well as loosing ~90% of the transmitted intensity, you can *enhance contrast* near the center of the field by narrowing the central diffractive peak, in this case in the range of 70 to 400 milli-arc seconds, according to the JAM Team's (JWST Aperture Masking Team) slides linked below.

From the first link:

> Light admitted by 7 apertures in an otherwise opaque pupil mask interfere to produce an interferogram on the detector. This interfogram has a sharper core than is provided by normal "direct" imaging. The advantage is significant: while the ability to separate closely spaced objects with normal imaging is given by the familiar Rayleigh criterion (separation δθ=1.22λ/Dδθ=1.22λ/D , where λ is the wavelength of light and D is the diameter of the telescope), interferometry can resolve objects as close as δθ=0.5λ/Dδθ=0.5λ/D (the Michelson criterion). AMI allows planetary or stellar companions that are up to ~9 magnitudes fainter than their host star and separated by 70–400 mas to be detected and characterized. AMI can also be used to reconstruct high-resolution maps of extended sources, such as active galactic nuclei.

You can read more about it in:

* JWST's [NIRISS Aperture Masking Interferometry](https://jwst-docs.stsci.edu/display/JTI/NIRISS+Aperture+Masking+Interferometry)
* ArXiv [NIRISS aperture masking interferometry: an overview of science opportunities](https://arxiv.org/abs/1406.6882)
* The *JAM Team's:* [Non-Redundant Aperture Masking Interferometry (AMI) and Segment Phasing with JWST-NIRISS](https://jwst.nasa.gov/resources/Sivaramakrishnan2012_08_08_UMichAnnArbor.pdf)

[![enter image description here](https://i.sstatic.net/OpPbi.jpg)](https://i.sstatic.net/OpPbi.jpg)

**Below:** MeerKAT *array core* from Google Maps at (30.7136109S, 21.4399576E).

[![enter image description here](https://i.sstatic.net/l9OXm.jpg)](https://i.sstatic.net/l9OXm.jpg)

> **Comments:**
> **username_3**: Allow me to suggest you should accept your own answer.  
> **username_2**: @RobJeffries alas, I didn't ask the question, but thanks anyway :-)  

---

### Answer by username_4 on 2016-12-25. Score: 2

The reason you would want to cover most of your aperture is so you can point directly at a huge light source (i.e. a star), but ignore most of the light coming from it. This makes it easier to directly detect faint features around the source that would ordinarily be washed out by the light from the source itself (i.e. planets and the like). I believe this is what LocalFluff was getting at with "advanced coronagraphy," and I don't believe it has anything to do with interferometery.

> **Comments:**
> **username_2**: Depending on how you look at it, imaging is always a kind of interferometry. See [supplemental answer](https://astronomy.stackexchange.com/a/24182/7982).  
> **username_3**: Aperture masking certainly is about interferometry. https://en.m.wikipedia.org/wiki/Aperture_masking_interferometry  

---

