1924/12/01 by S. Ballantine · 1 citation
Engineering · Physics and Astronomy · Mathematics · #Radio Wave Propagation Studies #Electromagnetic Scattering and Analysis #Antenna Design and Optimization #Antenna (radio) #Poynting vector #Radiation pattern #Physics #Amplitude #Sine wave #Trigonometric functions #Computation #Sine #Plane wave #Radiation #Optics #Mathematics #Mathematical analysis #Geometry #Telecommunications #Magnetic field #Computer science #Quantum mechanics
paper · doi:10.1109/jrproc.1924.220010
openalex publication_date 1924/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2025/11/06
In this paper, the radiation resistance of a filamentary vertical antenna erected over perfectly conducting plane earth is calculated for wave lengths down to 0.3 of the fundamental. Pierce's assumption of sinusoidal variation of the current amplitude along the antenna forms the basis of an application of the methods of the electron theory, whereby the e.m. potentials are found by integration and the field and Poynting vectors subsequently derived by differentiation. An improved method of computation, using the sine- and cosine-integrals, is introduced. The numerical results are tabulated and exhibited graphically.