The reflection of an electromagnetic plane wave by an infinite set of plates. III

Author:
Albert E. Heins

Journal:
Quart. Appl. Math. **8** (1950), 281-291

MSC:
Primary 78.0X

DOI:
https://doi.org/10.1090/qam/38239

MathSciNet review:
38239

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**[1]**J. F. Carlson and A. E. Heins,*The reflection of an electromagnetic plane wave by an infinite set of plates. I*, Quart. Appl. Math.**4**(1947), 313–329. MR**0019523**, https://doi.org/10.1090/qam/19523**[2]**Albert E. Heins and J. F. Carlson,*The reflection of an electromagnetic plane wave by an infinite set of plates. II*, Quart. Appl. Math.**5**(1947), 82–88. MR**0020929**, https://doi.org/10.1090/S0033-569X-1947-20929-7**[3]**If the propagation normal of the incident wave falls to the left of*ON*, angle is a positive acute angle, while if it falls to the right of*ON*, the angle is a negative acute angle. The case requires separate treatment.**[4]**At this point we realize that to get more than two reflected waves, the inequalities in sec. 2 have to be modified. As we carry on this modification we find that an indefinite number of reflected waves cannot enter. For example, if , then the inequality for two reflected waves reads**[5]**See CH I, p. 321 for some remarks regarding the present use of the term regular.**[6]**See CH I, sec. 4.

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DOI:
https://doi.org/10.1090/qam/38239

Article copyright:
© Copyright 1950
American Mathematical Society