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{{Refimprove|date=March 2008}}
This is a preview for the new '''MathML rendering mode''' (with SVG fallback), which is availble in production for registered users.
{{otheruses}}
[[Image:EVG-620 & MA-150 steppers at LAAS (FDLS 2007) 0438.jpg|thumb|250px|Two steppers (left: EVG-620; right: MA-150) under [[inactinic light]] at [[Laboratory for analysis and architecture of systems|LAAS]] technological facility in Toulouse, France.]]
A '''stepper''' is a device used in the manufacture of [[integrated circuit]]s (ICs) that is similar in operation to a [[slide projector]] or a photographic [[enlarger]]. Steppers are an essential part of the complex process, called [[photolithography]], that creates millions of microscopic circuit elements on the surface of tiny chips of silicon. These chips form the heart of ICs such as computer processors, memory chips, and many other devices.


==The stepper's role in photolithography==
If you would like use the '''MathML''' rendering mode, you need a wikipedia user account that can be registered here [[https://en.wikipedia.org/wiki/Special:UserLogin/signup]]
* Only registered users will be able to execute this rendering mode.
* Note: you need not enter a email address (nor any other private information). Please do not use a password that you use elsewhere.


Elements of the circuit to be created on the IC are reproduced in a pattern of transparent and opaque areas on the surface of a quartz plate called a [[photomask]] or reticle. The stepper passes light through the reticle, forming an image of the reticle pattern. The image is focused and reduced by a lens, and projected onto the surface of a [[silicon wafer]] that is coated with a photosensitive material called [[photoresist]].
Registered users will be able to choose between the following three rendering modes:


After exposure in the stepper, the coated wafer is developed like photographic film, causing the photoresist to dissolve in certain areas according to the amount of light the areas received during exposure. These areas of photoresist and no photoresist reproduce the pattern on the reticle. The developed wafer is then exposed to acids or other chemicals. The acid etches away the silicon in the parts of the wafer that are no longer protected by the photoresist coating. The other chemicals are used to change the electrical characteristics of the silicon in the bare areas. The wafer is then cleaned, recoated with photoresist, then passed through the stepper again in a process that creates the circuit on the silicon, layer by layer. The entire process is called [[photolithography]] or photo engineering.
'''MathML'''
:<math forcemathmode="mathml">E=mc^2</math>


When the wafer is processed in the stepper, the pattern on the reticle (which may contain a number of individual chip patterns) is exposed repeatedly across the surface of the wafer in a grid. The stepper gets its name from the fact that it moves or "steps" the wafer from one shot location to another. This is accomplished by moving the wafer back and forth and left and right under the lens of the stepper. Previous generations of photolithographic equipment used to expose the entire wafer at once: a stepper, working on a limited area, is capable of higher resolution.
<!--'''PNG'''  (currently default in production)
:<math forcemathmode="png">E=mc^2</math>


As of 2008, the most detailed patterns in [[semiconductor device fabrication]] are transferred using a type of stepper called a scanner, which moves the wafer and reticle with respect to each other during the exposure, as a way of increasing the size of the exposed area and increasing the imaging performance of the lens.
'''source'''
:<math forcemathmode="source">E=mc^2</math> -->


==Basic operation==
<span style="color: red">Follow this [https://en.wikipedia.org/wiki/Special:Preferences#mw-prefsection-rendering link] to change your Math rendering settings.</span> You can also add a [https://en.wikipedia.org/wiki/Special:Preferences#mw-prefsection-rendering-skin Custom CSS] to force the MathML/SVG rendering or select different font families. See [https://www.mediawiki.org/wiki/Extension:Math#CSS_for_the_MathML_with_SVG_fallback_mode these examples].


The silicon wafers are coated with photoresist, and placed in a cassette or "boat" that holds a number of wafers. This is then placed in a part of the stepper called the '''wafer loader''', usually located at the lower front of the stepper.
==Demos==


A [[robot]] in the wafer loader picks up one of the wafers from the cassette and loads it onto the '''wafer stage''' where it is aligned to enable another, finer alignment process that will occur later on.
Here are some [https://commons.wikimedia.org/w/index.php?title=Special:ListFiles/Frederic.wang demos]:


The pattern of the circuitry for each chip is contained in a pattern etched in [[Chrome plating|chrome]] on the reticle, which is a plate of transparent [[quartz]]. A typical reticle used in steppers is 6 inches square and has a usable area of 104mm by 132mm.


A variety of reticles, each appropriate for one stage in the process, are contained in a rack in the '''reticle loader''', usually located at the upper front of the stepper. Before the wafer is exposed a reticle is loaded onto the '''reticle stage''' by a robot, where it is also very precisely aligned. Since the same reticle can be used to expose many wafers, it is loaded once before a series of wafers is exposed, and is realigned periodically.
* accessibility:
** Safari + VoiceOver: [https://commons.wikimedia.org/wiki/File:VoiceOver-Mac-Safari.ogv video only], [[File:Voiceover-mathml-example-1.wav|thumb|Voiceover-mathml-example-1]], [[File:Voiceover-mathml-example-2.wav|thumb|Voiceover-mathml-example-2]], [[File:Voiceover-mathml-example-3.wav|thumb|Voiceover-mathml-example-3]], [[File:Voiceover-mathml-example-4.wav|thumb|Voiceover-mathml-example-4]], [[File:Voiceover-mathml-example-5.wav|thumb|Voiceover-mathml-example-5]], [[File:Voiceover-mathml-example-6.wav|thumb|Voiceover-mathml-example-6]], [[File:Voiceover-mathml-example-7.wav|thumb|Voiceover-mathml-example-7]]
** [https://commons.wikimedia.org/wiki/File:MathPlayer-Audio-Windows7-InternetExplorer.ogg Internet Explorer + MathPlayer (audio)]
** [https://commons.wikimedia.org/wiki/File:MathPlayer-SynchronizedHighlighting-WIndows7-InternetExplorer.png Internet Explorer + MathPlayer (synchronized highlighting)]
** [https://commons.wikimedia.org/wiki/File:MathPlayer-Braille-Windows7-InternetExplorer.png Internet Explorer + MathPlayer (braille)]
** NVDA+MathPlayer: [[File:Nvda-mathml-example-1.wav|thumb|Nvda-mathml-example-1]], [[File:Nvda-mathml-example-2.wav|thumb|Nvda-mathml-example-2]], [[File:Nvda-mathml-example-3.wav|thumb|Nvda-mathml-example-3]], [[File:Nvda-mathml-example-4.wav|thumb|Nvda-mathml-example-4]], [[File:Nvda-mathml-example-5.wav|thumb|Nvda-mathml-example-5]], [[File:Nvda-mathml-example-6.wav|thumb|Nvda-mathml-example-6]], [[File:Nvda-mathml-example-7.wav|thumb|Nvda-mathml-example-7]].
** Orca: There is ongoing work, but no support at all at the moment [[File:Orca-mathml-example-1.wav|thumb|Orca-mathml-example-1]], [[File:Orca-mathml-example-2.wav|thumb|Orca-mathml-example-2]], [[File:Orca-mathml-example-3.wav|thumb|Orca-mathml-example-3]], [[File:Orca-mathml-example-4.wav|thumb|Orca-mathml-example-4]], [[File:Orca-mathml-example-5.wav|thumb|Orca-mathml-example-5]], [[File:Orca-mathml-example-6.wav|thumb|Orca-mathml-example-6]], [[File:Orca-mathml-example-7.wav|thumb|Orca-mathml-example-7]].
** From our testing, ChromeVox and JAWS are not able to read the formulas generated by the MathML mode.


Once the wafer and reticle are in place and aligned, the wafer stage, which is moved very precisely in the X and Y directions (front to back and left to right) by [[worm gear|worm screws]] or [[linear motor]]s, carries the wafer so that the first of the many patterns (or "shots") to be exposed on it is located below the lens, directly under the reticle.
==Test pages ==


Although the wafer is aligned after it is placed on the wafer stage, this alignment is not sufficient to ensure that the layer of circuitry to be printed onto the wafer exactly overlays previous layers already there. Therefore each shot is aligned using special alignment marks that are located in the pattern for each final IC chip. Once this fine alignment is completed, the shot is exposed by light from the stepper's '''illumination system''' that passes through the reticle, through a '''reduction lens''', and on to the surface of the wafer. A process program or "recipe" determines the length of the exposure, the reticle used, as well as other factors that affect the exposure.
To test the '''MathML''', '''PNG''', and '''source''' rendering modes, please go to one of the following test pages:
*[[Displaystyle]]
*[[MathAxisAlignment]]
*[[Styling]]
*[[Linebreaking]]
*[[Unique Ids]]
*[[Help:Formula]]


Each shot located in a grid pattern on the wafer is exposed in turn as the wafer is stepped back and forth under the lens. When all shots on the wafer are exposed, the wafer is unloaded by the wafer loader robot, and another wafer takes its place on the stage. The exposed wafer is eventually moved to a developer where the [[photoresist]] on its surface is exposed to developing chemicals that wash away areas of the photoresist, based on whether or not they were exposed to the light passing through the reticle. The developed surface is then subjected to other processes of [[photolithography]].
*[[Inputtypes|Inputtypes (private Wikis only)]]
 
*[[Url2Image|Url2Image (private Wikis only)]]
==Major subassemblies==
==Bug reporting==
 
If you find any bugs, please report them at [https://bugzilla.wikimedia.org/enter_bug.cgi?product=MediaWiki%20extensions&component=Math&version=master&short_desc=Math-preview%20rendering%20problem Bugzilla], or write an email to math_bugs (at) ckurs (dot) de .
A typical stepper has the following subassemblies: wafer loader, wafer stage, wafer alignment system, reticle loader, reticle stage, reticle alignment system, reduction lens, and illumination system. Process programs for each layer printed on the wafer are executed by a control system centering on a computer that stores the process program, reads it, and communicates with the various subassemblies of the stepper in carrying out the program's instructions. The components of the stepper are contained in a sealed chamber that is maintained at a precise temperature to prevent distortions in the printed patterns that might be caused by expansion or contraction of the wafer due to temperature variations. The chamber also contains other systems that support the process, such as [[air conditioning]], [[power supply|power supplies]], control boards for the various electrical components, and others.
 
==Illumination and the challenges of improving resolution==
 
The greatest limitation on the ability to produce increasingly finer lines on the surface of the wafer has been the [[wavelength]] of the [[light]] used in the exposure system. As the required lines have become narrower and narrower, illumination sources producing light with progressively shorter wavelengths have been put into service in steppers and scanners.
 
The ability of an exposure system, such as a stepper, to resolve narrow lines is limited by the wavelength of the light used for illumination, the ability of the lens to capture light (or actually orders of [[diffraction]]) coming at increasingly wider angles (called [[numerical aperture]] or N.A.), and various improvements in the process itself. This is expressed by the following equation:
 
<center><math>\mathrm{CD}=k\frac{\lambda}{\mathrm{NA}}</math></center>
 
<math>\mathrm{CD}</math> is the critical dimension, or finest line resolvable, <math>k</math> is a [[coefficient]] expressing process-related factors, <math>\lambda</math> is the wavelength of the light, and <math>\mathrm{NA}</math> is the numerical aperture. Decreasing the wavelength of the light in the illumination system increases the resolving power of the stepper.
 
Twenty years ago, the [[ultraviolet]] "g-line" (436 nm) of the [[mercury (element)|mercury]] [[spectrum]] was used to create lines in the 750 nm range in steppers that employed mercury lamps as their illumination source. Several years later systems employing the "i-line" (365 nm) from mercury lamps were introduced to create lines as low as 350 nm. As the desired line widths approached and eventually became narrower than the wavelength of the light used to create them, a variety of [[resolution enhancement techniques]] were developed to make this possible, such as [[phase shifting]] reticles and various techniques for manipulating the angles of the exposure light in order to maximize the resolving power of the lens.
 
Eventually however, the desired line widths became narrower than what was possible using mercury lamps, and near the middle of the last decade, the semiconductor industry moved towards steppers that employed [[Krypton fluoride laser|krypton-fluoride]] (KrF) [[excimer laser]]s producing 248 nm light. Such systems are currently being used to produce lines in the 110 nm range. Lines as low as 32 nm are being resolved by production-capable steppers using [[argon]]-fluoride (ArF) excimer lasers that emit light with a wavelength of 193 nm. Although fluoride (F2) lasers are available that produce 157 nm light, they are not practical because of their low power and because they quickly degrade the materials used to make the lenses in the stepper.
 
Since practical light sources with wavelengths narrower than these lasers have not been available, manufacturers have sought to improve [[optical resolution|resolution]] by reducing the process coefficient <math>k</math>.  This is done by further improving techniques for manipulating the light as it passes through the illumination system and the reticle, as well as improving techniques for processing the wafer before and after exposure.  Manufacturers have also introduced ever larger and more expensive lenses as a means of increasing the numerical aperture. However, these techniques are approaching their practical limit, and line widths in the 45 nm range appear to be near the best that can be achieved with conventional design.
 
Ultimately, other sources of illumination will have to be put to use, such as [[electron beam]]s, [[x-ray]]s or similar sources of [[Electromagnetism|electromagnetic]] [[energy]] with wavelengths much shorter than visible light. However, in order to delay as long as possible the vast expense and difficulty of adopting a whole new type of illumination technology, manufacturers have turned to a technique, previously used in [[microscope]]s, for increasing the numerical aperture of the lens by allowing the light to pass through [[water]] instead of [[air]]. This method, called [[immersion lithography]], is the current cutting edge of practical production technology.  It works because numerical aperture is a function of the maximum angle of light that can enter the lens and the [[refractive index]] of the medium through which the light passes. When water is employed as the medium, it greatly increases numerical aperture, since it has a refractive index of 1.44 at 193nm, while air has an index of 1. Current production machines employing this technology are capable of resolving lines in the 32 nm range<ref>[http://www.fabtech.org/content/view/6156/ New Product: Carl Zeiss SMT’s ‘PROVE’ handles mask pattern alignment and registration at 32nm node - Fabtech - The online information source for semiconductor professionals<!-- Bot generated title -->]</ref>, and may eventually be able to achieve lines of 30 nm.
 
== Scanners ==
Modern scanners are steppers that increase the length of the area exposed in each shot (the exposure field) by moving the reticle stage and wafer stage in opposite directions to each other during the exposure.  Instead of exposing the entire field at once, the exposure is made through an "exposure slit" that is as wide as the exposure field, but only a fraction of its length (such as a 9x25 mm slit for a 35x25 mm field).  The image from the exposure slit is scanned across the exposure area.
 
{|
|-
| [[Image:scanstartnew.gif|thumb|225px|Start of scan exposure]]
| [[Image:scanmidnew.gif|thumb|225px|Middle of scan exposure]]
| [[Image:scanendnew.gif|thumb|225px|End of scan exposure]]
|}
There are several benefits to this technique.  The field can be exposed with a lesser reduction of size from the reticle to the wafer (such as 4x reduction on a scanner, compared with 5x reduction on a stepper), while allowing a field size much larger than that which can be exposed with a typical stepper.  Also the optical properties of the projection lens can be optimized in the area through which the image of the projection slit passes, while optical aberrations can be ignored outside of this area, because they will not affect the exposed area on the wafer.
 
Successful scanning requires extremely precise synchronization between the moving reticle and wafer stages during the exposure. Accomplishing this presents many technological challenges.
 
== See also ==
 
* [[Stepping level]]
* [[Photolithography]]
* [[Semiconductor]]
* [[Integrated circuit]]
 
'''Stepper makers''':
* [[ASML Holding|ASML]]
* [[Ultratech, Inc.|Ultratech]]
* [[Nikon]]
* [[Canon (company)|Canon]]
 
==References==
 
<references/>
 
[[Category:Lithography (microfabrication)]]
 
[[de:Stepper (Halbleitertechnik)]]
[[ja:ステッパー]]
[[ru:Степпер]]
[[zh:光刻机]]

Latest revision as of 23:52, 15 September 2019

This is a preview for the new MathML rendering mode (with SVG fallback), which is availble in production for registered users.

If you would like use the MathML rendering mode, you need a wikipedia user account that can be registered here [[1]]

  • Only registered users will be able to execute this rendering mode.
  • Note: you need not enter a email address (nor any other private information). Please do not use a password that you use elsewhere.

Registered users will be able to choose between the following three rendering modes:

MathML


Follow this link to change your Math rendering settings. You can also add a Custom CSS to force the MathML/SVG rendering or select different font families. See these examples.

Demos

Here are some demos:


Test pages

To test the MathML, PNG, and source rendering modes, please go to one of the following test pages:

Bug reporting

If you find any bugs, please report them at Bugzilla, or write an email to math_bugs (at) ckurs (dot) de .