|
|
Line 1: |
Line 1: |
| [[Image:Infinitely long green cuboid seen through a Dove-prism array.png|thumb|View through an array of elongated, upright, [[Dove prism]]s, forming a METATOY that flips the horizontal direction of transmitted light rays. A green box, stretched in the direction perpendicular to the METATOY, appears bent into a hyperbola when seen through the METATOY. A close-up view of the METATOY can be seen in the following picture.]]
| | The article below will most likely help you by revealing some easy and fast tips to last longer in bed tonight. PE affects men of all age groups and not very close the young guys possess no sexual experience and issue how how old you have you will like a fast alternative last longer in bed furniture. If you are dealing the new problem of cumming to fast during sexual intercourse you aren't alone as roughly 33% of the men inside of the world are dealing [http://tinyurl.com/nqbkz6z ugg boots usa] this particular particular issue.<br><br>Perhaps our cheating husbands and wives be aware that the danger of being caught cheating lies in excessive contact, leaving messages and texts that happen to be by your spouse. Might even refer have a [http://www.britannica.com/search?query=definite+fantasy definite fantasy] they want to gain and can't get inside your house. You'll begin buying and receiving little gifts or cards from various other. Being involved in an emotional affair undoubtedly the biggest in relation to its [http://tinyurl.com/nqbkz6z uggs on sale] getting caught, you think about them all the time and eventually begin sending texts or recieving little messages. People looking for the best nsa encounter may be very proud their lives and just desire the rush of sexual along with a stranger, someone they aren't supposed to get along with and may never see again. This is how and individuals get busted at their sexual indescretions.<br><br>But is poking fun at it enough help to make the act okay? Things like fertility clinicshave continued to assist improve women's right [http://tinyurl.com/nqbkz6z uggs on sale] the job and made it possible for the have their cake and eat it too. Over the last two decades that viewpoint has seemed to change. Technology has made it feasible for women and try to career or have [http://www.Wonderhowto.com/search/children/ children] with out a father present. Your market 50's, 60's, 70's the particular no strings sex 80's accidental and unwed pregnancies were frowned along. Television and movies have jumped on this rising camp and appear enjoy poking fun in that controversial subject.<br><br>Susan Anderson in her journey across the globe no strings sex and find out lost archaeological treasures from the Great Civil War, Blackbeard the pirate, and an Egyptian Pharaoh in Adventure Chronicles game!<br><br>Now, nobody comes with those options, as various better alternatives are available since downloading. It saves period and no strings sex as well as precious dollars. Gone is the time when people had a person [http://tinyurl.com/nqbkz6z discount ugg boots] option to relish the movie of This morning buying the DVDs? When you're download Recently movie from genuine websites, you surely get prime quality downloads.<br><br>Featuring rich and vivid colors, well-built graphics, different levels and bonuses once you move, Jewellust promises [http://tinyurl.com/nqbkz6z discount ugg boots] to kill the boring moments away. Its simplicity and [http://tinyurl.com/nqbkz6z ugg boots usa] easy rules lead it to highly habit. Carry out you going to restore? Feel your adrenaline rise as you level up while wishing to complete rows of three or four jewels in the same color. Developed by Smartpix games, Jewellust is among one of find fuck buddys [vimeo.com] the most well-liked puzzle games currently regarding Android smartphone.<br><br>For women who are working in their 50s, here couple of casual dress styles who is going to flatter buyers. Choosing proper way cut or silhouette with the dress rrs extremely important, if you would like to look trendy and stylish no strings sex. Although a dress should be chosen as stated by your shape and structure, your age also plays an natural part in getting this done.<br><br>All downloads is only going to take several minnutes to barrier. One of the most awaited movies of all seasons is now within easy reach when you download No strings attached movie online. And with a quality online environment, very good 100 percent safe. Instead of watching it in theaters your own have to remain time, or where you will be lining up for hours or take time to choose a seat, test watching it within the comforts of one's home anytime you like.<br><br>Casual wedding dresses are perfect for brides are generally in a good budget and this kind of wedding dress is also easy to alter, which is an advantage together with quick wedding planning. There are several reasons why other brides opt to get a casual custom made wedding dress. Aside from being less complicated when you are considering styles, casual wedding dresses are quite affordable compared to designer wedding costumes.<br><br>I feel harmful boring using my face for a while, but in terms of as an actress, has been created really a remarkable thing to obtain to work on all actual almost back-to-back. It was actually kind of a lucky order because I did "Your Highness" and then "Black Swan" and then "Thor" and then "No Strings Attached. " To ensure that was important.<br><br>Have to express it out to someone in order to you and whom you trust a huge amount of. Before on the subject of this matter with your spouse, this best to communicate in it out first along with trusted friend and free of whole emotions and feelings. It is way better that way than to suggest it to be able to your husband; which will most definitely end up in anger and fight. |
| A '''METATOY''' is a sheet, formed by a two-dimensional array of small, telescopic optical components, that switches the path of transmitted light rays. METATOY is an acronym for "'''meta'''ma'''t'''erial f'''o'''r ra'''y'''s", representing a number of analogies with [[metamaterial]]s; METATOYs even satisfy a few definitions of metamaterials, but are certainly not metamaterials in the usual sense. When seen from a distance, the view through each individual telescopic optical component acts as one pixel of the view through the METATOY as a whole. In the simplest case, the individual optical components are all identical; the METATOY then behaves like a homogeneous, but pixellated, window that can have very unusual optical properties (see the picture of the view through a METATOY).
| |
| | |
| METATOYs are usually treated within the framework of [[geometrical optics]]; the light-ray-direction change performed by a METATOY is described by a [[map (mathematics)|mapping]] of the direction of any incoming light ray onto the corresponding direction of the outgoing ray. The light-ray-direction mappings can be very general. METATOYs can even create pixellated light-ray fields that could not exist in non-pixellated form due to a condition imposed by [[wave optics]].<ref name=HamiltonCourtial2009>{{cite journal |author=A. C. Hamilton and J. Courtial|title=Metamaterials for light rays: ray optics without wave-optical analog in the ray-optics limit|journal=New J. Phys.|volume=11 |issue=1|pages=013042|year=2009|doi=10.1088/1367-2630/11/1/013042 |postscript=.|bibcode = 2009NJPh...11a3042H |arxiv = 0809.4370 }}</ref>
| |
| | |
| Much of the work on METATOYs is currently theoretical, backed up by computer simulations. A small number of experiments have been performed to date; more experimental work is ongoing.
| |
| | |
| ==Examples of METATOYs==
| |
| [[Image:Close-up of Dove-prism array seen from above.png|thumb|Close-up view of a METATOY formed by an array of upright [[Dove prism]]s, seen from above. The view through the METATOY is shown in the previous image.]]
| |
| | |
| Telescopic optical components that have been used as the unit cell of two-dimensional arrays, and which therefore form homogeneous METATOYs, include
| |
| *a pair of identical lenses (focal length <math>f</math>) that share the same optical axis (perpendicular to the METATOY) and that are separated by <math>2 f</math>, that is they share one focal plane (a special case of a [[refracting telescope]] with [[angular magnification]] -1);<ref name=StevensHarvey2002>{{cite journal|unused_data= pages=S17–S21 |author=R. F. Stevens and T. G. Harvey|title=Lens arrays for a three-dimensional imaging system|journal=J. Opt. Soc. Am. A| volume = 4| year=2002|issue=4|doi=10.1088/1464-4258/4/4/353|pages=S17|postscript=.|bibcode = 2002JOptA...4S..17S }}</ref>
| |
| *a pair of non-identical lenses (focal lengths <math>f_1</math> and <math>f_2</math>) that share the same optical axis (again perpendicular to the METATOY) and that are separated by <math>f_1 + f_2</math>, that is they again share one focal plane (a generalization of the former case, a refracting telescope with any angular magnification);<ref name=Courtial2008a>{{cite journal|author=J. Courtial|title=Ray-optical refraction with confocal lenslet arrays|journal=New J. Phys.|volume= 10|issue=8|pages=083033|year=2008|doi=10.1088/1367-2630/10/8/083033|postscript=.|bibcode = 2008NJPh...10h3033C }}</ref>
| |
| *a pair of non-identical lenses (focal lengths <math>f_1</math> and <math>f_2</math>) that share one focal plane, that is, they share the direction of the optical axis, which is not necessarily perpendicular to the METATOY, and they are separated by <math>f_1 + f_2</math> (a generalization of the former case);<ref name=HamiltonCourtial2009b>{{cite journal|author =A. C. Hamilton and J. Courtial|title=Generalized refraction using lenslet arrays|journal=J. Opt. Soc. Am. A|volume= 11|issue =6|pages=065502|year=2009|doi=10.1088/1464-4258/11/6/065502|postscript =.|bibcode = 2009JOptA..11f5502H |arxiv = 0901.3250 }}</ref>
| |
| *a [[prism (optics)|prism]];<ref>{{cite journal|author=Chien-Yue Chen ''et al.''|title=Optics system design applying a micro-prism array of a single lens stereo image pair|journal=Opt. Express|volume=16|pages=15495–15505|year=2008|doi=10.1364/OE.16.015495|pmid=18825188|issue=20|postscript=.|bibcode = 2008OExpr..1615495C }}</ref>
| |
| *a [[Dove prism]] <ref name= LianChang1996>{{cite journal|author=Tongshu Lian and Ming-Wen Chang|title=New types of reflecting prisms and reflecting prism assembly|journal=Optical Engineering|volume= 35|issue=12|pages=3427–3431|year=1996|doi=10.1117/1.601103|postscript=.|bibcode = 1996OptEn..35.3427L }}</ref><ref>{{Cite journal|inventor1-last=Watkins|inventor1-first=Robert A.|title=Multiple Dove Prism Assembly|year=2000|patent-number=6097554|country-code=US|postscript=.}}</ref><ref name=CourtialNelson2008>{{cite journal|author=J. Courtial and J. Nelson|title=Ray-optical negative refraction and pseudoscopic imaging with Dove-prism arrays|journal=New J. Phys.|volume= 10|issue=2|pages=023028|year=2008|doi=10.1088/1367-2630/10/2/023028|postscript=.|bibcode = 2008NJPh...10b3028C }}</ref><ref name=HamiltonCourtial2008a>{{cite journal|author =A. C. Hamilton and J. Courtial|title=Optical properties of a Dove-prism sheet|journal=J. Opt. Soc. Am. A|volume= 10|issue =12|pages=125302|year=2008|doi=10.1088/1464-4258/10/12/125302|postscript =.|bibcode = 2008JOptA..10l5302H }}</ref> (see pictures).
| |
| | |
| Examples of inhomogeneous METATOYs include
| |
| *the moiré magnifier,<ref name=HutleyEtAl1994>{{cite journal|author=M. C. Hutley ''et al.''|title=The moiré magnifier| journal=Pure Appl. Opt.: J. Eur. Opt. Soc. Part A|volume=3|issue=2|pages=133–142|year=1994|doi=10.1088/0963-9659/3/2/006|postscript=. |bibcode = 1994PApOp...3..133H }}</ref> which is based on deliberately "mis-aligned" pairs of confocal [[microlens|microlens arrays]];
| |
| *[[Fresnel lens]]es, which can be seen as non-homogeneous METATOYs made from prisms;
| |
| *[[frosted glass]], which can be seen as an extreme case of an inhomogeneous, random METATOY made from prisms.
| |
| | |
| Note that examples of METATOYs as defined above have existed long before analogies with metamaterials were noted and it was recognized that METATOYs can perform wave-optically forbidden ray-direction mappings (in pixellated form).<ref name="HamiltonCourtial2009" />
| |
| | |
| ==Wave-optical constraints on light-ray fields and METATOYs==
| |
| [[Wave optics]] describes light at a more fundamental level than [[geometrical optics]]. In the ray-optics limit (in which the optical [[wavelength]] tends towards zero) of scalar optics (in which light is described as a [[scalar wave]], an approximation that works well for [[paraxial]] light with uniform [[Polarization (waves)|polarization]]), the light-ray field '''r'''<math>(x,y,z)</math> corresponding to a light wave <math>u(x,y,z)</math> is its phase gradient,<ref name=LandauLifschitz1992>{{cite book|last=Landau|first=L. D.|coauthors=Lifschitz, E. M.|title=Klassische Feldtheorie|publisher=Akademie Verlag|year=1992|pages=154–157|isbn=3-05-501550-9}}</ref>
| |
| <blockquote>
| |
| <math>\mathbf{r}(x,y,z)=\nabla \phi(x,y,z),</math>
| |
| </blockquote> | |
| where <math>\phi(x,y,z)</math> is the phase of the wave <math>u(x,y,z)=A(x,y,z) \exp(i \phi(x,y,z))</math>. But according to [[vector calculus identities|vector calculus]], the curl of any gradient is zero, that is
| |
| <blockquote>
| |
| <math>\nabla \times \nabla \phi(x,y,z)=0,</math>
| |
| </blockquote>
| |
| and therefore
| |
| <blockquote>
| |
| <math>\nabla \times \mathbf{r}(x,y,z)=0.</math>
| |
| </blockquote>
| |
| This last equation is a condition, derived from wave optics, on light-ray fields.
| |
| (Each of the three equations that makes up this vector equation expresses the [[symmetry of second derivatives|symmetry of the second spatial derivatives]], which is how the condition was initially formulated.<ref name="HamiltonCourtial2009" />)
| |
| | |
| Using the example of ray-rotation sheets,<ref name=HamiltonEtAl2009>{{cite journal|author=A. C. Hamilton ''et al.''|title=Local light-ray rotation|journal=J. Opt. Soc. Am. A (in press)|year=2009|postscript=.}}</ref> it was shown that METATOYs can create light-ray fields that do not satisfy the above condition on light-ray fields.<ref name="HamiltonCourtial2009" />
| |
| | |
| ==Relationship with metamaterials==
| |
| METATOYs are not [[metamaterial]]s in the standard sense. The acronym "'''meta'''ma'''t'''erial f'''o'''r ra'''y'''s" was chosen because of a number of similarities between METATOYs and metamaterials,<ref name="HamiltonCourtial2009" /> which are discussed below, along with the differences.
| |
| In addition, metamaterials provided the inspiration for early METATOYs research, as summarized in the following quote:<ref name="HamiltonCourtial2009" />
| |
| <blockquote> | |
| Motivated by the desire to build optical elements that have some of the visual properties of metamaterials on an everyday size scale and across the entire visible wavelength spectrum, we recently started to investigate sheets formed by miniaturized optical elements that change the direction of transmitted light rays.
| |
| </blockquote>
| |
| | |
| ===Similarities with metamaterials===
| |
| In a number of ways, METATOYs are analogous to [[metamaterial]]s:<ref name="HamiltonCourtial2009" />
| |
| *'''structure''': metamaterials are arrays of small (sub-wavelength size) wave-optical components (electro-magnetic circuits resonant with the optical frequency), whereas METATOYs are arrays of small (so that they work well as pixels), telescopic, "ray-optical components";
| |
| *'''functionality''': both metamaterials and METATOYs can behave like homogeneous materials, in the case of metamaterials a volume of material, in the case of METATOYs a sheet material, in both cases with very unusual optical properties such as negative refraction.
| |
| | |
| ===Differences with metamaterials===
| |
| Arguably amongst the most startling properties of metamaterials are some that are fundamentally wave-optical, and therefore not reproduced in METATOYs. These include
| |
| *amplification of evanescent waves, which can, in principle, lead to perfect lenses ("superlenses") <ref name=Pendry2000>{{cite journal|author=J. B. Pendry|title=Negative Refraction Makes a Perfect Lens|journal=Phys. Rev. Lett.|volume=85|pages=3966–3969|year=2000|doi=10.1103/PhysRevLett.85.3966|pmid=11041972|issue=18|postscript=.|bibcode=2000PhRvL..85.3966P}}</ref> and magnifying superlenses ("hyperlenses");<ref name=JacobEtAl2006>{{cite journal|author=Z. Jacob ''et al.''|title=Optical Hyperlens: Far-field imaging beyond the diffraction limit|journal=Opt. Express|volume=14|pages=8247–8256|year=2006|doi=10.1364/OE.14.008247|pmid=19529199|issue=18|postscript=.|arxiv = physics/0607277 |bibcode = 2006OExpr..14.8247J }}</ref><ref>{{cite journal|author=Z. Liu ''et al.''|title=Far-Field Optical Hyperlens Magnifying Sub-Diffraction-Limited Objects|journal=Science|volume=315|page=1686|year=2007|doi=10.1126/science.1137368|pmid=17379801|issue=5819|postscript=.|bibcode=2007Sci...315.1686L}}</ref>
| |
| *reversal of the [[phase velocity]];
| |
| *reversal of the [[Doppler shift]].
| |
| | |
| On the other hand, because they are not bound by wave-optical constraints on light-ray fields, it can be argued that METATOYs can perform light-ray-direction changes that metamaterials could not, unless a METATOY was effectively built out of metamaterials.
| |
| | |
| ==References==
| |
| {{reflist|2}}
| |
| | |
| ==External links==
| |
| *[http://www.physics.gla.ac.uk/Optics/projects/METATOYs/ METATOYs project]
| |
| *[http://www.physics.gla.ac.uk/Optics/ Optics Group]
| |
| *[http://www.gla.ac.uk/departments/physics/ Department of Physics and Astronomy], [[University of Glasgow]], UK
| |
| *[http://www.opfocus.org/index.php?topic=story&v=6&s=9 Didactic article on METATOYs]
| |
| | |
| ==See also==
| |
| *[[Fresnel lens]]
| |
| *[[Zone plate]]
| |
| | |
| {{DEFAULTSORT:Metatoy}}
| |
| [[Category:Geometrical optics]]
| |
| [[Category:Optical devices]]
| |
| [[Category:Optical materials]]
| |
| [[Category:Imaging]]
| |
The article below will most likely help you by revealing some easy and fast tips to last longer in bed tonight. PE affects men of all age groups and not very close the young guys possess no sexual experience and issue how how old you have you will like a fast alternative last longer in bed furniture. If you are dealing the new problem of cumming to fast during sexual intercourse you aren't alone as roughly 33% of the men inside of the world are dealing ugg boots usa this particular particular issue.
Perhaps our cheating husbands and wives be aware that the danger of being caught cheating lies in excessive contact, leaving messages and texts that happen to be by your spouse. Might even refer have a definite fantasy they want to gain and can't get inside your house. You'll begin buying and receiving little gifts or cards from various other. Being involved in an emotional affair undoubtedly the biggest in relation to its uggs on sale getting caught, you think about them all the time and eventually begin sending texts or recieving little messages. People looking for the best nsa encounter may be very proud their lives and just desire the rush of sexual along with a stranger, someone they aren't supposed to get along with and may never see again. This is how and individuals get busted at their sexual indescretions.
But is poking fun at it enough help to make the act okay? Things like fertility clinicshave continued to assist improve women's right uggs on sale the job and made it possible for the have their cake and eat it too. Over the last two decades that viewpoint has seemed to change. Technology has made it feasible for women and try to career or have children with out a father present. Your market 50's, 60's, 70's the particular no strings sex 80's accidental and unwed pregnancies were frowned along. Television and movies have jumped on this rising camp and appear enjoy poking fun in that controversial subject.
Susan Anderson in her journey across the globe no strings sex and find out lost archaeological treasures from the Great Civil War, Blackbeard the pirate, and an Egyptian Pharaoh in Adventure Chronicles game!
Now, nobody comes with those options, as various better alternatives are available since downloading. It saves period and no strings sex as well as precious dollars. Gone is the time when people had a person discount ugg boots option to relish the movie of This morning buying the DVDs? When you're download Recently movie from genuine websites, you surely get prime quality downloads.
Featuring rich and vivid colors, well-built graphics, different levels and bonuses once you move, Jewellust promises discount ugg boots to kill the boring moments away. Its simplicity and ugg boots usa easy rules lead it to highly habit. Carry out you going to restore? Feel your adrenaline rise as you level up while wishing to complete rows of three or four jewels in the same color. Developed by Smartpix games, Jewellust is among one of find fuck buddys [vimeo.com] the most well-liked puzzle games currently regarding Android smartphone.
For women who are working in their 50s, here couple of casual dress styles who is going to flatter buyers. Choosing proper way cut or silhouette with the dress rrs extremely important, if you would like to look trendy and stylish no strings sex. Although a dress should be chosen as stated by your shape and structure, your age also plays an natural part in getting this done.
All downloads is only going to take several minnutes to barrier. One of the most awaited movies of all seasons is now within easy reach when you download No strings attached movie online. And with a quality online environment, very good 100 percent safe. Instead of watching it in theaters your own have to remain time, or where you will be lining up for hours or take time to choose a seat, test watching it within the comforts of one's home anytime you like.
Casual wedding dresses are perfect for brides are generally in a good budget and this kind of wedding dress is also easy to alter, which is an advantage together with quick wedding planning. There are several reasons why other brides opt to get a casual custom made wedding dress. Aside from being less complicated when you are considering styles, casual wedding dresses are quite affordable compared to designer wedding costumes.
I feel harmful boring using my face for a while, but in terms of as an actress, has been created really a remarkable thing to obtain to work on all actual almost back-to-back. It was actually kind of a lucky order because I did "Your Highness" and then "Black Swan" and then "Thor" and then "No Strings Attached. " To ensure that was important.
Have to express it out to someone in order to you and whom you trust a huge amount of. Before on the subject of this matter with your spouse, this best to communicate in it out first along with trusted friend and free of whole emotions and feelings. It is way better that way than to suggest it to be able to your husband; which will most definitely end up in anger and fight.