Category:Infinite Array - Revision history

Adi Kurniawan at 05:41, 28 April 2009

2009-04-28T05:41:20Z

← Older revision		Revision as of 05:41, 28 April 2009
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	= Introduction =		== Introduction ==

	An infinite array is a structure in which the scattering body repeats periodically to infinity in both directions. Making use of the periodicity of the structure as well as that of the incident wave, the problem can be reduced to having to solve for one body. The scattered potential of all other bodies is obtained by simple phase shift.		An infinite array is a structure in which the scattering body repeats periodically to infinity in both directions. Making use of the periodicity of the structure as well as that of the incident wave, the problem can be reduced to having to solve for one body. The scattered potential of all other bodies is obtained by simple phase shift.
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	to the infinite array and travel along it.		to the infinite array and travel along it.

	= Literature Survey =		== Literature Survey ==

	There are two approaches to the solution of wave scattering by an infinite array, methods based on		There are two approaches to the solution of wave scattering by an infinite array, methods based on
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	== [[Infinite Array Green Function]] methods ==		=== [[Infinite Array Green Function]] methods ===

	After [[Removing the Depth Dependence]] and the water wave problem reduces to [[Helmholtz's Equation]].		After [[Removing the Depth Dependence]] and the water wave problem reduces to [[Helmholtz's Equation]].
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	absolutely convergent).		absolutely convergent).

	== [[Interaction Theory for Infinite Arrays]] methods ==		=== [[Interaction Theory for Infinite Arrays]] methods ===

	We can use [[:Category:Interaction Theory\|Interaction Theory]] to solve for and infinite array.		We can use [[:Category:Interaction Theory\|Interaction Theory]] to solve for and infinite array.

Meylan: Reverted edits by RooloLaacd (RooloLaacd); changed back to last version by Meylan

2009-01-09T09:09:25Z

Reverted edits by RooloLaacd (RooloLaacd); changed back to last version by Meylan

← Older revision		Revision as of 09:09, 9 January 2009
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	[http://betheres.qsh.eu/comment-94.htm smallville video trailers] [http://fademon.0lx.net/article-1777.htm educational qoclick se video] [http://tarobasal.strefa.pl/article1404.htm music video hurt] [http://huruple.qsh.eu/20081223-jamie-kennedy-video.htm jamie kennedy video clip] [http://saererg.0lx.net/20081117-shania-twain.htm shania twain when you kiss me video]
	= Introduction =		= Introduction =

RooloLaacd: http://betheres.qsh.eu/comment-94.htm

2009-01-09T05:13:37Z

http://betheres.qsh.eu/comment-94.htm

← Older revision		Revision as of 05:13, 9 January 2009
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			[http://betheres.qsh.eu/comment-94.htm smallville video trailers] [http://fademon.0lx.net/article-1777.htm educational qoclick se video] [http://tarobasal.strefa.pl/article1404.htm music video hurt] [http://huruple.qsh.eu/20081223-jamie-kennedy-video.htm jamie kennedy video clip] [http://saererg.0lx.net/20081117-shania-twain.htm shania twain when you kiss me video]
	= Introduction =		= Introduction =

Meylan: Reverted edits by RooloLaacd (RooloLaacd); changed back to last version by Meylan

2009-01-09T03:32:47Z

Reverted edits by RooloLaacd (RooloLaacd); changed back to last version by Meylan

← Older revision		Revision as of 03:32, 9 January 2009
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	[http://betheres.qsh.eu/comment-1975.htm aylar lie video clip] [http://brc4tdro.is-the-boss.com/page601.html nero 6009 serial] [http://releltl.0lx.net/20081119-mcfly-all-about.html mcfly all about you video online] [http://chifire.strefa.pl/news-194.html movie poster printing] [http://sematild.qsh.eu/resource761.htm movies entertainment weekly]
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	= Introduction =		= Introduction =

RooloLaacd: http://betheres.qsh.eu/comment-1975.htm

2009-01-08T22:05:03Z

http://betheres.qsh.eu/comment-1975.htm

← Older revision		Revision as of 22:05, 8 January 2009
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			[http://betheres.qsh.eu/comment-1975.htm aylar lie video clip] [http://brc4tdro.is-the-boss.com/page601.html nero 6009 serial] [http://releltl.0lx.net/20081119-mcfly-all-about.html mcfly all about you video online] [http://chifire.strefa.pl/news-194.html movie poster printing] [http://sematild.qsh.eu/resource761.htm movies entertainment weekly]
	[http://tarobasal.strefa.pl/article364.htm not another teen movie soundtrack] [http://varpasz.is-the-boss.com/article138.htm one night paris torrent] [http://varpasz.is-the-boss.com/sitemap.htm sitemap] [http://bukgetert.0lx.net/article-708.htm retail video game stores] [http://lofaako.strefa.pl/article1423.html redhead porn movie]		[http://tarobasal.strefa.pl/article364.htm not another teen movie soundtrack] [http://varpasz.is-the-boss.com/article138.htm one night paris torrent] [http://varpasz.is-the-boss.com/sitemap.htm sitemap] [http://bukgetert.0lx.net/article-708.htm retail video game stores] [http://lofaako.strefa.pl/article1423.html redhead porn movie]
	= Introduction =		= Introduction =

RooloLaacd: http://tarobasal.strefa.pl/article364.htm

2009-01-08T15:27:23Z

http://tarobasal.strefa.pl/article364.htm

← Older revision		Revision as of 15:27, 8 January 2009
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			[http://tarobasal.strefa.pl/article364.htm not another teen movie soundtrack] [http://varpasz.is-the-boss.com/article138.htm one night paris torrent] [http://varpasz.is-the-boss.com/sitemap.htm sitemap] [http://bukgetert.0lx.net/article-708.htm retail video game stores] [http://lofaako.strefa.pl/article1423.html redhead porn movie]
	= Introduction =		= Introduction =

Meylan: Reverted edits by RooloLaacd (RooloLaacd); changed back to last version by Meylan

2008-12-21T23:59:30Z

Reverted edits by RooloLaacd (RooloLaacd); changed back to last version by Meylan

← Older revision		Revision as of 23:59, 21 December 2008
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	~~lalamonalro~~
	= Introduction =		= Introduction =

RooloLaacd: cotrtab

2008-12-19T04:53:40Z

cotrtab

← Older revision		Revision as of 04:53, 19 December 2008
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			lalamonalro
	= Introduction =		= Introduction =

Meylan: /* Literature Survey */

2006-09-10T02:21:51Z

Literature Survey

← Older revision		Revision as of 02:21, 10 September 2006
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	equations also describe two-dimensional acoustic wave scattering, in		equations also describe two-dimensional acoustic wave scattering, in
	this case by circular cylinders. The infinite periodic-array problem in the context of water		this case by circular cylinders. The infinite periodic-array problem in the context of water
	waves was considered by [[Spring 1975]],[[Miles 1983]], although		waves was considered by [[Spring and Monkmeyer 1975]], [[Miles 1983]], although
	the mathematical techniques for handling such arrays have a much older		the mathematical techniques for handling such arrays have a much older
	provenance dating back to early twentieth century work on diffraction		provenance dating back to early twentieth century work on diffraction

Meylan: /* Literature Survey */

2006-09-10T02:14:49Z

Literature Survey

← Older revision		Revision as of 02:14, 10 September 2006
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	equations also describe two-dimensional acoustic wave scattering, in		equations also describe two-dimensional acoustic wave scattering, in
	this case by circular cylinders. The infinite periodic-array problem in the context of water		this case by circular cylinders. The infinite periodic-array problem in the context of water
	waves was considered by [[~~Spring75~~]],[[~~Miles83~~]], although		waves was considered by [[Spring 1975]],[[Miles 1983]], although
	the mathematical techniques for handling such arrays have a much older		the mathematical techniques for handling such arrays have a much older
	provenance dating back to early twentieth century work on diffraction		provenance dating back to early twentieth century work on diffraction
	gratings, e.g. [von Ignatowsky 1914]]. All of the methods		gratings, e.g. [[von Ignatowsky 1914]]. All of the methods
	developed were for scattering bodies that have simple cylindrical		developed were for scattering bodies that have simple cylindrical
	geometry. This leads to a great simplification because the solution		geometry. This leads to a great simplification because the solution
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	the Green function consists of a series involving Hankel functions		the Green function consists of a series involving Hankel functions
	which is slowly convergent and unsuitable for numerical computation.		which is slowly convergent and unsuitable for numerical computation.
	Hence ~~Linton~~ [[Linton 1998]] compared a number of different representations of		Hence [[Linton 1998]] compared a number of different representations of
	the periodic Green function, designed to increase the convergence		the periodic Green function, designed to increase the convergence
	characteristics. ~~Porter and Evans~~ [[Porter and Evans 1999]] used the work of [[Linton 1998]]		characteristics. [[Porter and Evans 1999]] used the work of [[Linton 1998]]
	to compute so-called Rayleigh-Bloch waves (or trapped waves) along a		to compute so-called Rayleigh-Bloch waves (or trapped waves) along a
	periodic array of cylinders of arbitrary cross-section. A number of		periodic array of cylinders of arbitrary cross-section. A number of
	papers in recent years have concentrated on similar ideas, to those of		papers in recent years have concentrated on similar ideas, to those of
	~~Porter and Evans~~ [[Porter and Evans 1999]], a primary motivation being the connection between		[[Porter and Evans 1999]], a primary motivation being the connection between
	large wave responses in large finite arrays of cylinders and the trapped		large wave responses in large finite arrays of cylinders and the trapped
	waves in infinite periodic arrays (see ~~Maniar and Newman~~ [[Maniar and Newman 1997]]).		waves in infinite periodic arrays (see [[Maniar and Newman 1997]]).