Diffraction - Revision history

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2017-04-07T17:08:08Z

Removed category physics

: Added some maths

2016-09-26T14:08:28Z

Added some maths

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2016-09-19T18:05:02Z

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2012-05-08T11:05:35Z

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AugustO: Created page with "'''Diffraction''' occurs ''“when waves pass through small openings, around obstacles, or past sharp edges. When an opaque object is placed between a point source of light..."

2012-05-06T16:27:50Z

Created page with "'''Diffraction''' occurs ''“when waves pass through small openings, around obstacles, or past sharp edges. When an opaque object is placed between a point source of light..."

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'''Diffraction''' occurs ''“when waves pass through small openings, around obstacles, or past sharp edges. When an opaque object is placed between a point source of light and a screen, no sharp boundary exists on the screen between a shadowed region and an illuminated region. The illuminated region above the shadow of the object contains alternating light and dark fringes. Such a display is called a '''diffraction pattern'''.” ''<ref>Halliday, Resnik, Walker: ''Fundamentals of Physics, 8th edition. p. 1200</ref>

==References==
<references />

← Older revision		Revision as of 17:08, April 7, 2017
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	[[Double-slit experiment]]		[[Double-slit experiment]]

−	~~[[Category:Physics]]~~
	[[Category:Optics]]		[[Category:Optics]]

← Older revision		Revision as of 14:08, September 26, 2016
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	'''Diffraction''' occurs ''“when [[waves]] pass through small openings, around obstacles, or past sharp edges. When an opaque object is placed between a point source of [[light]] and a screen, no sharp boundary exists on the screen between a [[shadow]]ed region and an illuminated region. The illuminated region above the shadow of the object contains alternating light and dark fringes. Such a display is called a '''diffraction pattern'''.” ''<ref>Halliday, Resnik, Walker: ''Fundamentals of Physics, 8th edition. p. 1200</ref>		'''Diffraction''' occurs ''“when [[waves]] pass through small openings, around obstacles, or past sharp edges. When an opaque object is placed between a point source of [[light]] and a screen, no sharp boundary exists on the screen between a [[shadow]]ed region and an illuminated region. The illuminated region above the shadow of the object contains alternating light and dark fringes. Such a display is called a '''diffraction pattern'''.” ''<ref>Halliday, Resnik, Walker: ''Fundamentals of Physics, 8th edition. p. 1200</ref>
		+
		+	==Young's Double Slit Experiment==
		+
		+	Consider two slits a distance <math>d</math> apart and a screen a distance <math>R</math> from the slits. To find the positions of the maxima (brightest points) on the screen, the path difference from each of the slits, <math>\Delta</math> must be an [[integer]] number of wavelengths <math>n \lambda</math>. The the angle between a ray of light from one slit and the normal of that slit is <math>\theta</math>, then for constructive interference:
		+
		+	<math>d \sin{\theta} = n \lambda</math>
		+
		+	If <math>y</math> is the distance from the centre of the screen to a maxima, then <math>y= R \tan{\theta} </math>.
		+
		+	If we assume the screen is much further away than the slits, such that <math>R>>d</math> then using the small angle approximation, <math>\tan{\theta} \approx \sin{\theta}</math>, rearranging gives:
		+
		+	<math>y_n = \frac{nR \lambda}{d}</math>
		+
		+	where
		+	:<math>y_n</math> is the distance on the screen to the n<sup>th</sup> maxima
		+	:<math>\lambda</math> is the [[wavelength]]
		+
		+	For destructive interference, the path difference must be <math>(n+\frac{1}{2}) \lambda</math>. This gives:
		+
		+	<math>y_n = \frac{(n+ \frac{1}{2})R \lambda}{d}</math>
		+
		+	for the n<sup>th</sup> minima.

	==References==		==References==

← Older revision		Revision as of 18:05, September 19, 2016
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	[[Category:Physics]]		[[Category:Physics]]
		+	[[Category:Optics]]

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-'''Diffraction'''  occurs ''&ldquo;when [[waves]] pass through small openings, around obstacles, or past sharp edges.  When an opaque object is placed between a point source of [[light]] and a screen, no sharp boundary exists on the screen between a [[shadow|shadowed]] region and an illuminated region. The illuminated region above the shadow of the object contains alternating light and dark fringes. Such a display is called a '''diffraction pattern'''.&rdquo; ''<ref>Halliday, Resnik, Walker: ''Fundamentals of Physics, 8th edition. p. 1200</ref>
+'''Diffraction'''  occurs ''&ldquo;when [[waves]] pass through small openings, around obstacles, or past sharp edges.  When an opaque object is placed between a point source of [[light]] and a screen, no sharp boundary exists on the screen between a [[shadow]]ed region and an illuminated region. The illuminated region above the shadow of the object contains alternating light and dark fringes. Such a display is called a '''diffraction pattern'''.&rdquo; ''<ref>Halliday, Resnik, Walker: ''Fundamentals of Physics, 8th edition. p. 1200</ref>
 ==References==
 <references />
-==See Also==
+==See also==
 [[Double-slit experiment]]
 [[Category:Physics]]

@@ Line 1: / Line 1: @@
-'''Diffraction'''  occurs ''&ldquo;when waves pass through small openings, around obstacles, or past sharp edges.  When an opaque object is placed between a point source of light and a screen, no sharp boundary exists on the screen between a shadowed region and an illuminated region. The illuminated region above the shadow of the object contains alternating light and dark fringes. Such a display is called a '''diffraction pattern'''.&rdquo; ''<ref>Halliday, Resnik, Walker: ''Fundamentals of Physics, 8th edition. p. 1200</ref>
+'''Diffraction'''  occurs ''&ldquo;when [[waves]] pass through small openings, around obstacles, or past sharp edges.  When an opaque object is placed between a point source of [[light]] and a screen, no sharp boundary exists on the screen between a [[shadow|shadowed]] region and an illuminated region. The illuminated region above the shadow of the object contains alternating light and dark fringes. Such a display is called a '''diffraction pattern'''.&rdquo; ''<ref>Halliday, Resnik, Walker: ''Fundamentals of Physics, 8th edition. p. 1200</ref>
 ==References==
 <references />
 [[Category:Physics]]

← Older revision		Revision as of 11:05, May 8, 2012
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	==References==		==References==
	<references />		<references />
		+	[[Category:Physics]]