SOME RESULTS ON CYLINDRICAL CAVITY RESONATORS 443 



15. J. A. Stratton, "Electromagnetic Theory," McGraw-Hill, (1941). 



16. F. Jahnke and E. Emde, "Tables of Functions," pp. 288-293, Dover Publications 



(1943). 



17. N. VV. McLachlan, " Bessel Function for Engineers," Clarendon Press, Oxford (1934). 



18. F. Borgnis, "Die konzentrische Leitung als Resonator," Hochf: tech u. Elek:akus., 



56, pp. 47-54, (1940). — Resonant modes and Q of the full coaxial resonator. For 

 long abstract, see Wireless Engineer, 18, pp. 23-25, (1941). 



Additional Bibliography 



19. J. J. Thomson, "Notes on Recent Researches in Electricity and Magnetism," Oxford, 



Clarendon Press, 1893, — §300 gives the resonant frequencies of the TE modes in a 

 cylinder with a/L = 0; §315-316 consider two concentric spheres; §317-318 treat 

 of the Q of the spherical cavity. 



20. Lord Rayleigh, "On the passage of electric waves through tubes or the vibrations of 



dielectric cylinders" Phil. Mag.; 43, pp. 125-132 (1897) .^Considers rectangular 

 and circular cross-sections. 



21. A. Becker, " Interf erenzrohren fiir elektrische Wellen," Ann. d. Phys., 8, pp. 22-62 



(1902)— Abstract in Set. Abs., 5, No. 1876 (1902)— Experimental work at 5 cm. 

 and 10 cm. 



22. R. H. Weber, " Elektromagnetische Schwingungen in Metallrohren," Ann. d. Phys., 



8, pp. 721-751 (1902)— Abstract in Set. Abs., 6A, No. 96 (1903). 



23. A Kalahne, "Elektrische Schwingungen in ringformigen Metallrohren," Ann. d. 



Phys., 18, pp. 92-127 (1905).— Abstract in Sci. Abs., 8A, No. 2247 (1905). 



24. G. Mie, "Beitrage zur Optik triiber Medien, spezieU kolloidaler Metallosungen," 



Ann. d. Phys., 25, pp. 337-445 (1908) — A part of this article deals with the solution 

 of the equations for the sphere; also shown are the E and H lines for the lowest 

 eight resonant modes. 



25. H. W. Droste, " Ultrahochfrequenz-Ubertragung langs zylindrischen Leitern und 



Nichtleitern," TFT, 27, pp. 199-205, 273-279, 310-316, 337-341 (1931)— Abstract 

 in Wireless Engr., 15, p. 617, No. 4209 (1938). 



26. W. L. Barrow, "Transmission of Electromagnetic Waves in Hollow Tubes of Metal," 



Proc. I.R.E., 24, pp. 1298-1328 (1936)— A development of the equations of propa- 

 gation together with a discussion of terminal connections. 



27. S. A. Schelkunoff, "Transmission Theory of Plane Electromagnetic waves," Proc. 



I.R.E., 25, pp. 1457-1492 (1937)— Treats waves in free space and in cylindrical 

 tubes of arbitrary cross-section; special cases; rectangle, circle, sector of circle and 

 ring. 



28. L. J. Chu, "Electromagnetic Waves in Elliptic Hollow Pipes of Metal," Jour. App. 



Phys., 9, pp. 583-591 (1938) — A study of field configurations, ci;itical frequencies, 

 and attenuations. 



29. G. Reber, "Electric Resonance Chambers," Communications, Vol. 18, No. 12, pp. 



5-8 (1938). 



30. F. Borgnis, " Electromagnetische Eigenschwingungen dielektrischer Raume," Ann. 



d. Phys., 35, pp. 359-384 (1939). Solution of Maxwells equations for rectangular 

 prism, circular cylinder, sphere; also derivations of stored energy and Q values. 



31. W. W. Hansen, "On the Resonant Frequency of Closed Concentric Lines," Jour. App. 



Phys., 10, pp. 38-45 (1939). — Series approximation method for TM OOp mode. 



32. R. D. Richtmyer, "Dielectric Resonators," Jour. App. Phys., 10, pp. 391-398 (1939). 



33. H. R. L. Lamont, "Theory of Resonance in Microwave Transmission Lines with 



Discontinuous Dielectric," Phil. Mag., 29, pp. 521-540 (1940).— With bibliography 

 covering wave guides, 1937-1939. 



34. E. H. Smith, "On the Resonant Frequency of a Type of Klystron Resonator," Phys. 



Rev., 57, p. 1080 (1940).— Abstract. 



35. W. C. Hahn, "A New Method for the Calculation of Cavity Resonators," Jour. App. 



Phys., 12, pp. 62-68 (1941). — Series approximation method for certain circularly 

 symmetric resonators. 



36. E. U. Condon, "Forced Oscillations in Cavity Resonators," Jour. App. Phys., 12 



pp. 129-132 (1941). — Formulas for coupUng loop and capacity coupling. 



37. W. L. Barrow and H. Schaevitz, "Hollow Pipes of Relatively Small Dimensions," 



A.I.E.E. Trans., 60, pp. 119-122 (1941). — Septate coaxial wave guide and cavity 

 resonator, based on bending a fiat rectangular guide into a cylinder. 



