Waveguide Analog of Tunneling through Quantum Potential Barriers
作者:
Morris Campi,
Mark Harrison,
期刊:
American Journal of Physics
(AIP Available online 1967)
卷期:
Volume 35,
issue 2
页码: 133-139
ISSN:0002-9505
年代: 1967
DOI:10.1119/1.1973911
出版商: American Association of Physics Teachers
数据来源: AIP
摘要:
Expressions are derived for the electromagnetic fields of guided waves which are analogous to the quantum-mechanical equations representing barrier tunneling. This analogy is achieved by comparing the propagation constant of the Schrödinger time-independent wave equation with that of the electromagnetic wave equation in waveguide and by comparing the de Broglie wavelength of a particle with the wavelength of the waves that propagate the energy. This results in an expression relating the form of an arbitrary one-dimensional energy barrier to the physical dimensions of a section of waveguide. The analogy is tested by the propagation of energy in theTE10mode at both the 3- and 6-cm bands for the cases of rectangular and hyperbolic barriers. Although evanescent modes are present at the discontinuous regions, the analog for the rectangular barrier, which is considered to be the worse case, is verified when an effective barrier lengthleffof about 1.2lis used. This experimental verification demonstrates the possibility of waveguide simulation of quantum-mechanical energy barriers and the practicality of utilizing an electromagnetic analog for demonstrating the tunneling phenomenon and provides a method for measurement of the transmission coefficient through an arbitrarily shaped barrier.
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