Abstract

Cylindrically guided hybrid, TE and TM electromagnetic waves, which satisfy the wave equation, Maxwell’s equations, and certain boundary conditions at the curved surface of a homogeneous, isotropic cylinder, are permitted to be incident normally on plane interfaces between the cylinder and arbitrary outside media. The laws of reflection and transmission are then derived as boundary-value problems, using electromagnetic theory. These laws, for all three types of waves, differ from each other and from Fresnel’s equations, and depend upon the material constants of both media, the frequency, the radius of the cylinder, the form of the incident electromagnetic wave, and on whether the cylinder is experiencing stimulated emission or absorption in the direction of the axis. At interfaces outside the cylinder, these laws recover some of their Fresnel-like properties and depend only upon the material constants and frequency, but there are still differences between the three types of waves and Fresnel’s equations. There are also corresponding differences in the radiant-flux distributions for all three types of waves in each of the media.

© 1972 Optical Society of America

Absorbing and radiating cylinders as boundary-value problems*

A. I. Mahan and C. V. Bitterli
J. Opt. Soc. Am. 64(5) 619-630 (1974)

Some Macroscopic Properties of Dielectric, Absorbing, and Active Cylinders*†

A. I. Mahan, C. V. Bitterli, and H. J. Unger
J. Opt. Soc. Am. 61(5) 577-585 (1971)

Exact Solution of the Equations of Molecular Optics for Refraction and Reflection of an Electromagnetic Wave on a Semi-Infinite Dielectric*

Éamon Lalor and E. Wolf
J. Opt. Soc. Am. 62(10) 1165-1174 (1972)

Propagation of Plane Waves in Biaxially Anisotropic Layered Media*

Joel Schesser and George Eichmann
J. Opt. Soc. Am. 62(6) 786-791 (1972)

Reflection and transmission of plane unbounded electromagnetic waves at an absorbing–nonabsorbing interface with numerical calculations for an ocean–air interface

A. I. Mahan and C. V. Bitterli
Appl. Opt. 20(19) 3345-3359 (1981)