138 



Prof. F. L. 0. WadsAvorth on the 



fields S^ S^^, S^^^ and S^^ of cases A-B, and field S of case F. 

 This has been done for three gratings, one having the same 

 angular aperture (/5i = *01) as already used, the others having 

 angular apertures of yS2 = '02o and ^.^ = '0h. The results are 

 given in Table III. 



Table Ill.—Values of R, and R. 



K. 



For /3 = 0-01. 



i=0^. 



i 



i = 15^. /=30^ e = 60°. 



R^. 



B, 



1 



E, 



E,. 



K. 



E, E, 



E, ' 



0° 0' 



+ 1-00 



+ TOO 



+ 1-00 + 100 



+ 1-00 



+ 100 + 1-00 



+ 100 + 1-00 



+ 1-00 



o' 



+ 0-44 



+ 1-56 



+ 0-44 



+ 1-56 



+ 0-42 



+ 1-58 + 0-35 



+ 1-65 



- 0-12 



+ 2-12 



10' 



- 0-16 



+ 2-16 



- 016 



+ 2-16 



- 0-20 



+ 2-20 - 0-34 



+ 2-34 



- 1-32 



+ 3-32 



15' 



- 0-77 



+ 2-76 



- 0-77 4- 2-77 



- 0-82 + 2-82 



- 103 



+ 303 



- 2-52 



+ 4-52 



30' 



- 2-48 



+ 4-48 



- 2-49 + 4-49 



- 2-60 + 4-60 



- 302 



+ 5-02 



- 5-96 



+ 7-961 



1° 



- 5-96 



+ 7-96 



- 5-99 + 7-98 



- 6-21 + 8-20 



- 7-04 



+ 9-04 -12-92 



+14-92 



2° 



-12-97 



+ 14-95 



-13-03 +1501 -13-46 +15-44 



-15-13 



+ 17-11 -26-94 



+28-90 



3° 



-19-98 



+21-94 



-2007 +22-02 --20-72 +22-67 -23-23 



+25-18 -40-96 



+42-88 



5° 



- 3406 



+35-94 -34-20 +36-08 -35-29 +3716 -39-49 



+41-36-6911 



+70-88 



For ^=0025. 



0° 0' 



+ 1-00 



+ 1-00 



+ 1-00 



+ 100 



-h 1-00 



+ 1-00 



+ 1-00 



+ 1-00 



+ 1-00 



+ 1-00 



5' 



+ 0-78 



+ 1-22 



+ 0-77 



+ 1-23 



+ 0-77 



+ 1-23 



+ 0-74 



+ 1-26 



+ 0-55 



+ 1-45 



10' 



H- 0-54 



+ 1-46 



+ 0-53 



+ 1-47 



+ 0-52 



+ 1-4S 



+ 0-46 



+ 1-54 



+ 0-07 



+ 1-93 



15' 



+ 0-30 



+ 1-70 



+ 0-29 



+ 1-71 



+ 027 



+ 1-73 



+ 0-19 



+ 1-81 



- 0-41 



+ 2-41 



30' 



- 0-39 



+ 2-40 



- 0-40 



+ 2-40 



- 0-44 



+ 2-44 



- 0-61 



+ 2-61 



- 1-78 



+ 3-78 



1° 



- 1-79 



+ 3-78 



- 1-80 



+ 3-79 



- 1-86 



+ 3-88 



- 2-22 



+ 4-21 



- 4-57 



+ 6-56 



2° 



- 4-59 



+ 6-59 



- 4-62 



+ 6-60 



- 4-82 



+ 6-80 



- 5-46 



+ 7-44 



-10-19 



+ 12-15 



3° 



- 9-41 



+ 9-36 



- 7-44 



+ 9-39 



- 7-70 



+ 9-66 



- 8-71 



+ 10-66 



-15-81 



+ 17-73 



5° 



-13-06 



+14-94 



-13-12 



+1500 



-13-56 



+15-43 



-15-24 



+ 17-10 



-27-12 



+28-89 



For ,3=005. 





0° 0' 



+ 1-CO + 1-00 -f 1-00 



+ 1-00 



+ 100 



+ 100 



+ 1-00 



+ 1-00 



+ 1-00 + 1-00 



b' 



+ 0-89 



+ 1-11 + 0-89 



+ 1-11 



+ 0-88 



+ 1-12 



+ 0-87 



+ 1-12 



+ 0-78 + 1-22 



10' 



+ 077 



+ 1-23 + 0-77 



+ 1-23 



+ 0-76 



+ 1-24 



+ 0-73 



+ 1-27 



+ 0-54 + 1-46' 



15' 



+ 0-65 



+ 1-35 + 0-65 



+ 1-35 



+ 0-64 



+ 1-36 + 0-59 



+ 1-41 



+ 0-30 + 1-70 



so- 



+ 0-30 



+ 1-70 + 0-3U 



+ 1-70 



+ 0-28 



+ 1-72 + 0-20 + 1-80 



- 0-39 + 2-39 



lo 0' 



- 0-40 



+ 2-39 - 0-40 



+ 2-40 



- 0-44 



+ 2-44 - 0-61 + 2-eO 



- 1-79 



+ 3-78 



2° 



- 1-80 



+ 3-78 - 1-81 



+ 3-79 



- 1-90 



+ 3-88 - 2-23 + 4-21 



- 4-60 



+ 6-57 



3° 



- 3-21 



+ 5-17 - 3-23 



!+ 5-19 



- 3-36 



+ 5-32 - 3-86 + 5-82 



- 7-42 



+ 9-34 



5° 



- 6-06 



+ 7-94 - 609 



'+ 7-97 



- 6-31 



+ 8-lS - 7-15 + 9-01 



-13-12 



+ 14-89 



