Investigations into a new stratified hyperbolic profile

Author:

Heading John

Abstract

AbstractThe symmetrical Epstein refractive index profile (with free space conditions on each side of the transition) is generalized to a non-symmetrical form including both a barrier and a well by the discovery of a profile that cannot be obtained from the standard Epstein profile merely by adjusting the parameters. The analytical evaluation of the reflexion and transmission properties of the model is more complicated than that which occurs in the study of the Epstein profile.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Cited by 8 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Deductions from some artificial refractive index profiles based on the elementary functions;Mathematical Proceedings of the Cambridge Philosophical Society;1977-01

2. Invariant properties of wave propagation in n-dimensional space;Mathematical Proceedings of the Cambridge Philosophical Society;1976-05

3. 2.—Barriers bounded by Two Transition Points of Arbitrary Odd Order;Proceedings of the Royal Society of Edinburgh: Section A Mathematics;1975

4. Resonances in isotropic active media;Mathematical Proceedings of the Cambridge Philosophical Society;1972-05

5. Analytical considerations of barrier transmission;Mathematical Proceedings of the Cambridge Philosophical Society;1972-03

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