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| View Original: | 22 degree Halo-Angle of Maximum Intensity for each wavelength of light through an Ice Crystal 60 degrees.svg (528x584) | |||
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| Keywords: 22 degree Halo-Angle of Maximum Intensity for each wavelength of light through an Ice Crystal 60 degrees.svg en The angle of maximum intensity is different for each color of light creating the colors in the 22° halo The 22° minimum angle of deflection corresponds to a wavelength of 0 52 μm which is in the center of the green region of the visible spectrum If however one considers the wavelength of peek sensitivity of the eye which is 0 555μm the minimum angle of deflection is at the angle of 21 9° Red light however which is at the far right of spectrum in the illustration has a lower index of refraction and so it is deflected by the smaller angle of 21 6° The light at the blue or violet end of the spectrum is deflected by the larger 22 6° angle Created using the free open source program Inscape http //www inkscape com and the free graphical program Graph http //www padowan dk/graph/ Created with Inkscape It was created using the lower table of refractive indexes to create a 5th order polynomial approximation That was then plugged into the equation <br> Angle 2 60-ACOS COS 60 n <br> which gives the minimum deflection Note Minimum deflection occurs when there is perfect symmetry between the incident and refracted ray The final equation was f x 2 60-ACOS COS 60 TR -0 64433175 x 5+2 6695221 x 4-4 1981692 x 3+3 2308243 x 2-1 2612818 x+1 5139999 TD where TR 2pi/360 and TD 360/2pi Source of the below index table is http //www atmos washington edu/ice_optical_constants/IOPtable_2008 pdf Optical constants of ice from the ultraviolet to the microwave Warren and Brandt 2008 Wavelength ________ Refr Index <br> microns <br> ------------------------------- <br> 0 35 ______________ 1 32492 <br> 0 36 ______________ 1 32376 <br> 0 37 ______________ 1 32262 <br> 0 38 ______________ 1 32152 <br> 0 39 ______________ 1 32045 <br> 0 40 ______________ 1 31940 <br> 0 41 ______________ 1 31854 <br> 0 42 ______________ 1 31775 <br> 0 43 ______________ 1 31702 <br> 0 44 ______________ 1 31633 <br> 0 45 ______________ 1 31569 <br> 0 46 ______________ 1 31509 <br> 0 47 ______________ 1 31452 <br> 0 48 ______________ 1 31399 <br> 0 49 ______________ 1 31349 <br> 0 50 ______________ 1 31302 <br> 0 51 ______________ 1 31257 <br> 0 52 ______________ 1 31215 <br> 0 53 ______________ 1 31175 <br> 0 54 ______________ 1 31136 <br> 0 55 ______________ 1 31099 <br> 0 56 ______________ 1 31064 <br> 0 57 ______________ 1 31031 <br> 0 58 ______________ 1 30999 <br> 0 59 ______________ 1 30968 <br> 0 60 ______________ 1 30938 <br> 0 61 ______________ 1 30909 <br> 0 62 ______________ 1 30882 <br> 0 63 ______________ 1 30855 <br> 0 64 ______________ 1 30829 <br> 0 65 ______________ 1 30804 <br> 0 66 ______________ 1 30780 <br> 0 67 ______________ 1 30756 <br> 0 68 ______________ 1 30733 <br> 0 69 ______________ 1 30710 <br> 0 70 ______________ 1 30688 <br> own Dave3457 2011-02-10 22°-Halo Halo diagrams | ||||
