Solution of a Generalized Resonance-Tunneling Equation,
Abstract
This paper discusses a generalized second order resonance tunneling ordinary differential equation, (z + i Gamma) phi (z) + alpha phi' (z) - (beta sub 1 - z beta sub 2) phi (z) = O, where the parameter alpha is real and positive, alpha > or = O, and all other parameters are complex. We have obtained solutions of this equation when the independent variable covers the infinite domain, -oo < z < oo, and making use of suitable integral representations we have determined their asymptotic expansions. With the aid of their leading terms the two transmission reflection problems have been solved. Thus, we show that the expected Budden absorption occurs for alpha = 2N, N = O, 1, 2, .... However, in bands centered about alpha = 2N + 1, the modulus of the reflection coefficient is generally larger than unity.
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1986
- Accession Number
- ADA177574
Entities
People
- A. Banos Jr.
- George J. Morales
- J. E. Maggs
Organizations
- University of California, Los Angeles