. The Bell System technical journal. Telecommunication; Electric engineering; Communication; Electronics; Science; Technology. FILTER-TYPE CIRCUITS 197 p - ^ ^ n si"h y{d - y) j^, ±Lz — —J — Ho r—-.— e coe cosh yd /3o = /3- - T At y = 0 we have from () and () E, = -j - Hoe~'^' tanh yd E, = -i ^ ^oe"'^' tan /3o/^ coe Hence, we must have yh tanh {{d/h)yh) = /5o/? tan /Jq/^ () () () () (). Fig. —The transverse mode of the circuit of Fig. exists in this circuit also. Here we have added parameter, (d/h). For any value of d/h, we can obtain yh vs f^oh; an
. The Bell System technical journal. Telecommunication; Electric engineering; Communication; Electronics; Science; Technology. FILTER-TYPE CIRCUITS 197 p - ^ ^ n si"h y{d - y) j^, ±Lz — —J — Ho r—-.— e coe cosh yd /3o = /3- - T At y = 0 we have from () and () E, = -j - Hoe~'^' tanh yd E, = -i ^ ^oe"'^' tan /3o/^ coe Hence, we must have yh tanh {{d/h)yh) = /5o/? tan /Jq/^ () () () () (). Fig. —The transverse mode of the circuit of Fig. exists in this circuit also. Here we have added parameter, (d/h). For any value of d/h, we can obtain yh vs f^oh; and we can obtain (Sh in terms of yh by means of 0h = ({yhY + (l3ohYy" We see that for small values of jSah (low frequencies) 7- = (I'/d) 0l 1^ ^ 1^0 h + d () () () If we examine Fig. , to which this applies, we find () easy to explain. At low frequencies, the magnetic field is essentially constant from y = d to y = —h, and hence the inductance is proportional to the height h + d. The electric field will, however, extend only from y = 0 to y == ^; hence the capacitance is proportional to \/d. The phase constant is proportional to \/LC, and hence (). At higher frequencies the electric and magnetic fields vary with y and () does not hold. We see that () predicts infinite values of y for j3h = -kJI. As in the previous cases, cutoff occurs at ,3^ = Please note that these images are extracted from scanned page images that may have been digitally enhanced for readability - coloration and appearance of these illustrations may not perfectly resemble the original American Telephone and Telegraph Company. [Short Hills, N. J. , etc. , American Telephone and Telegraph Co. ]
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Keywords: ., bookcentury1900, bookdecade1920, booksubjecttechnology, bookyear1
