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Hi Don,

I see you are trying to find the numbers by looking simply at the ratios of the angles. However, if we are talking about refraction of light (especially since the diagram looks like a typical ray diagram), then we need to be using refraction equations, namely using Snells law. What this law does is tell us is how much a ray of light will be refracted (or bent) when it passes from one medium to the other. Mathematically it is expressed as

n(1)sin Q(1) = n(2) sin Q(2), where n(1,2) is the refractive index of the first and second medium, and Q(1,2) are the angles of incidence and refraction (as measured from the normal of the interface).

So if we use your diagram, and have the interface as the horizontal line passing through G2 (and hence the normal is the vertical line), and if we assume that the ray of light is travelling from the direction of G1 towards G2, then we can use Snells law to calculate certain things.

This is where you will find things interesting. Lets assume that we are passing light from air into some unknown medium n(2), and use the angles to calculate the refractive index of the second medium. Typically we would use the refractive index of air as 1, but I know you like decimal places so we will use the value of air (at 0 Celsius and at 1 Atm) of n = 1.000293

So we have

n(1)sin Q(1) = n(2) sin Q(2)

1.000293 X sin(43.33) = n(2) X sin (31.95)

Thus rearranging we get

1.000293 X sin(43.33)/sin(31.95) = n(2)

hence the refractive index of the second medium is n(2) = 1.2971, Which is close to the value for ice, it is not exact. It is closer to the refractive index of ice at 0C measured at infra-red wavelengths (1250 nm) or at UV wavelengths (84.7, 135.5, and 138.7 nm). It even corresponds to some microwave wavelengths (calculated using here [www.wolframalpha.com])


Note using pure gases will not get you the desired angles as the refraction angles will be very small due to the small differences between refractive indices of each gas. You can use Snells law to verify this for yourself.

Jonny




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Subject Views Written By Posted
Totally confused on The Periodic Table 1151 Ahatmose 05-Feb-12 03:39
Re: Totally confused on The Periodic Table 383 JonnyMcA 05-Feb-12 09:55
Re: Totally confused on The Periodic Table 270 Ahatmose 05-Feb-12 14:57
Re: Totally confused on The Periodic Table 357 JonnyMcA 05-Feb-12 15:52
Re: Totally confused on The Periodic Table 347 JonnyMcA 05-Feb-12 16:01
Re: Totally confused on The Periodic Table 309 Ahatmose 06-Feb-12 03:10
Re: Totally confused on The Periodic Table 312 JonnyMcA 06-Feb-12 18:26
Re: Totally confused on The Periodic Table 329 Spiros 05-Feb-12 22:00
Re: Totally confused on The Periodic Table 334 JonnyMcA 05-Feb-12 22:47
Re: Totally confused on The Periodic Table 327 Spiros 07-Feb-12 22:40
Re: Totally confused on The Periodic Table 327 Susan Doris 06-Feb-12 08:43
Re: Jonny/Ahatmose 360 Thunderbird 08-Feb-12 03:02
Index of Refraction 386 Ahatmose 09-Feb-12 03:08
Re: Index of Refraction 353 Ahatmose 09-Feb-12 03:25
Re: Index of Refraction 1333 JonnyMcA 09-Feb-12 08:34
Re: Index of Refraction 358 Ahatmose 09-Feb-12 16:10
Index of Refraction: The solution ? 404 Ahatmose 09-Feb-12 17:41
Re: Index of Refraction: The solution ? 362 JonnyMcA 11-Feb-12 09:03
Re: Index of Refraction 354 JonnyMcA 11-Feb-12 08:59
Re: Index of Refraction 342 Ahatmose 11-Feb-12 12:29
Re: Index of Refraction 390 JonnyMcA 11-Feb-12 14:12
Re: Index of Refraction 350 Ahatmose 12-Feb-12 13:11
Addendum: Index of Refraction 334 Ahatmose 12-Feb-12 13:19
Second Addendum: Index of Refraction 286 Ahatmose 12-Feb-12 13:26
Third Addendum: Index of Refraction 315 Ahatmose 12-Feb-12 13:32
Re: Third Addendum: Index of Refraction 321 JonnyMcA 12-Feb-12 16:03
Re: Third Addendum: Index of Refraction 337 JonnyMcA 12-Feb-12 21:17
Re: Second Addendum: Index of Refraction 342 JonnyMcA 12-Feb-12 15:40
Re: Addendum: Index of Refraction 322 JonnyMcA 12-Feb-12 15:34
Re: Index of Refraction 386 JonnyMcA 12-Feb-12 13:30
Re: Index of Refraction 323 Ahatmose 12-Feb-12 13:48
Re: Index of Refraction 336 JonnyMcA 12-Feb-12 15:32
Re: Index of Refraction 339 Ahatmose 13-Feb-12 01:23
Re: Index of Refraction 384 JonnyMcA 13-Feb-12 08:23
Re: Index of Refraction 366 Ahatmose 13-Feb-12 16:01
Re: Index of Refraction 362 JonnyMcA 13-Feb-12 19:01
Re: Index of Refraction 336 Ahatmose 13-Feb-12 16:47
Re: Index of Refraction 322 JonnyMcA 13-Feb-12 19:07
Re: Index of Refraction 334 Ahatmose 13-Feb-12 17:37
Re: Index of Refraction 323 JonnyMcA 13-Feb-12 19:20
Re: Index of Refraction 457 Spiros 05-Apr-18 14:20
Talk about stretching credibility: Index of Refraction 350 Ahatmose 13-Feb-12 05:48


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