Interferometers - Revision history

Bsboggs at 19:14, 11 January 2024

2024-01-11T19:14:35Z

Bsboggs at 19:10, 11 January 2024

2024-01-11T19:10:49Z

Wikiuser at 23:23, 10 December 2014

2014-12-10T23:23:34Z

Wikiuser at 18:38, 6 August 2014

2014-08-06T18:38:56Z

Wikiuser at 18:36, 6 August 2014

2014-08-06T18:36:44Z

Wikiuser at 18:36, 6 August 2014

2014-08-06T18:36:12Z

Wikiuser at 18:35, 6 August 2014

2014-08-06T18:35:44Z

Wikiuser at 18:29, 6 August 2014

2014-08-06T18:29:34Z

Wikiuser at 22:43, 21 March 2014

2014-03-21T22:43:02Z

Wikiuser at 22:42, 21 March 2014

2014-03-21T22:42:09Z

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 The Michelson can as well be used to determine the index of refraction, n, of a material. One would need to place an object within the path of one of the beams and as the angle is changed, theta,fringes should begin to appear or disappear, N. Now in order to find n, one also needs to know the wavelength f the light source, lambda, and the thickness of the material t;
                                               n=[(2*t-N*lambda)*(1-cos(theta))]/[2*t*(1-cos(theta))-N*lambda] (see equation (15) in link below)
-[[Media:Refractive_index.pdf]]
+[[Media:Michelson_Interferometer_Lab_Manual.pdf]]
 One can also use the Mach-Zehnder to determine the index of refraction, n, of a material but in this case one can choose to look at a gas rather than a solid as was done with the Michelson. Just place a vacuum tube with clear lenses on each end and watch the fringe count, N, as the pressure is increased. The equation for n is;
                                               n=[(N*lambda)/(2*l*deltaP)]*(deltaP)+1
 where lambda is the wavelength, deltaP is the change in pressure, and l is the length of the vacuum tube. One should see a linear growth of the index of refraction as the pressure is increased

@@ Line 30: / Line 30: @@
 The Michelson can as well be used to determine the index of refraction, n, of a material. One would need to place an object within the path of one of the beams and as the angle is changed, theta,fringes should begin to appear or disappear, N. Now in order to find n, one also needs to know the wavelength f the light source, lambda, and the thickness of the material t;
-                                              n=[(2*t-N*lambda)*(1-cos(theta))]/[2*t*(1-cos(theta))-N*lambda]
+                                              n=[(2*t-N*lambda)*(1-cos(theta))]/[2*t*(1-cos(theta))-N*lambda] (see equation (15) in link below)
-[[https://webmail.uoregon.edu/?_task=mail&_uid=2818&_mbox=INBOX&_action=get&_part=1&_embed=1&_mimeclass=image&_thumb=1]]
+[[Media:Refractive_index.pdf]]
 One can also use the Mach-Zehnder to determine the index of refraction, n, of a material but in this case one can choose to look at a gas rather than a solid as was done with the Michelson. Just place a vacuum tube with clear lenses on each end and watch the fringe count, N, as the pressure is increased. The equation for n is;
                                               n=[(N*lambda)/(2*l*deltaP)]*(deltaP)+1
 where lambda is the wavelength, deltaP is the change in pressure, and l is the length of the vacuum tube. One should see a linear growth of the index of refraction as the pressure is increased

← Older revision		Revision as of 23:23, 10 December 2014
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	[http://www.phy.davidson.edu/stuhome/cabell_f/diffractionfinal/pages/michelson.htm The Michelson Interferometer]		[http://www.phy.davidson.edu/stuhome/cabell_f/diffractionfinal/pages/michelson.htm The Michelson Interferometer]
		+
		+
		+	Some more interesting uses for the Michelson and Mach-Zehnder is to determine the index of refraction for various material. More so, the Michelson can actually find the coherence length of a laser in a different way, one can observe the visibility as one changes the distance of one of the arm lengths of one of the mirrors. For instance as the arm length, d, is increased the intensity can be recorded by a laser power meter and can then directly determine the visibility of light. Once this has been completed one will need to then determine the modes of the laser within this distance and can then determine the coherence length by relating it to the n-mode laser and solve for L, the coherence length.
		+
		+	The Michelson can as well be used to determine the index of refraction, n, of a material. One would need to place an object within the path of one of the beams and as the angle is changed, theta,fringes should begin to appear or disappear, N. Now in order to find n, one also needs to know the wavelength f the light source, lambda, and the thickness of the material t;
		+	n=[(2t-Nlambda)(1-cos(theta))]/[2t(1-cos(theta))-Nlambda]
		+	[[https://webmail.uoregon.edu/?_task=mail&_uid=2818&_mbox=INBOX&_action=get&_part=1&_embed=1&_mimeclass=image&_thumb=1]]
		+
		+	One can also use the Mach-Zehnder to determine the index of refraction, n, of a material but in this case one can choose to look at a gas rather than a solid as was done with the Michelson. Just place a vacuum tube with clear lenses on each end and watch the fringe count, N, as the pressure is increased. The equation for n is;
		+	n=[(Nlambda)/(2ldeltaP)](deltaP)+1
		+	where lambda is the wavelength, deltaP is the change in pressure, and l is the length of the vacuum tube. One should see a linear growth of the index of refraction as the pressure is increased
		+	[[https://webmail.uoregon.edu/?_task=mail&_uid=2824&_mbox=INBOX&_action=get&_part=1&_embed=1&_mimeclass=image&_thumb=1]]

← Older revision		Revision as of 18:38, 6 August 2014
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	[[Media:How_Does_a_Mach-Zehnder_Interferometer_Work?.pdf]]		[[Media:How_Does_a_Mach-Zehnder_Interferometer_Work?.pdf]]

−	[http://www.phy.davidson.edu/stuhome/cabell_f/diffractionfinal/pages/michelson.htm \| The Michelson Interferometer]	+	[http://www.phy.davidson.edu/stuhome/cabell_f/diffractionfinal/pages/michelson.htm The Michelson Interferometer]

← Older revision		Revision as of 18:36, 6 August 2014
Line 24:		Line 24:
	[[Media:How_Does_a_Mach-Zehnder_Interferometer_Work?.pdf]]		[[Media:How_Does_a_Mach-Zehnder_Interferometer_Work?.pdf]]

−	[http://www.phy.davidson.edu/stuhome/cabell_f/diffractionfinal/pages/michelson.htm\| The Michelson Interferometer]	+	[http://www.phy.davidson.edu/stuhome/cabell_f/diffractionfinal/pages/michelson.htm \| The Michelson Interferometer]

← Older revision		Revision as of 18:35, 6 August 2014
Line 23:		Line 23:

	[[Media:How_Does_a_Mach-Zehnder_Interferometer_Work?.pdf]]		[[Media:How_Does_a_Mach-Zehnder_Interferometer_Work?.pdf]]
		+
		+	[http://www.phy.davidson.edu/stuhome/cabell_f/diffractionfinal/pages/michelson.htm\|The Michelson Interferometer]

← Older revision		Revision as of 18:29, 6 August 2014
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	Due to outside noise, it was not possible to obtain a clean measurement of the photocurrent. In order to reduce noise, future experiments might include a lock-in amplifier.		Due to outside noise, it was not possible to obtain a clean measurement of the photocurrent. In order to reduce noise, future experiments might include a lock-in amplifier.
		+
		+	[[Media:How_Does_a_Mach-Zehnder_Interferometer_Work?.pdf]]

@@ Line 13: / Line 13: @@
 The mach-zehnder interferometer setup is shown in Figure 4.  As with the Michelson interferometer, an optial iris was employed to minimize outside noise.  However, the optical isolator proved unnecessary with the Mach-Zehnder interferometer as no fringe drift was observed.
 [[File:mach.jpg|400px|right|thumb|Figure 2: Setup of the Mach-Zehnder interferometer]]
 The Setup of the Sagnac interferometer is shown in figure 5.  To rotate the interferometer, it was placed on a stool.  The power source and digital oscilloscope were placed on another platform above the interferometer (Figure 6).

@@ Line 16: / Line 16: @@
 The Setup of the Sagnac interferometer is shown in figure 5.  To rotate the interferometer, it was placed on a stool.  The power source and digital oscilloscope were placed on another platform above the interferometer (Figure 6).
-[[File:giraffe.jpg|400px|right|thumb|Figure 5: Setup of the Sagnac interferometer.  The extra mirror behind the beam splitter added to fit detector and lens on rotating platform]]
+[[File:giraffe.jpg|400px|right|thumb|Figure 5: Setup of the Sagnac interferometer.  The extra mirror behind the beam splitter was added to fit both the detector and lens on rotating platform]]
 [[File:Sangac.jpg|400px|right|thumb|Figure 6: Sagnac interferometer on rotating stage]]