Formulation of differential transfer matrix method in cylindrical geometry

Mohsen Jiani; Sina Khorasani; Bizhan Rashidian; Saeed Mohammadi

doi:10.1117/12.841537

25 February 2010 Formulation of differential transfer matrix method in cylindrical geometry

Mohsen Jiani, Sina Khorasani, Bizhan Rashidian, Saeed Mohammadi

Proceedings Volume 7597, Physics and Simulation of Optoelectronic Devices XVIII; 75971V (2010) https://doi.org/10.1117/12.841537
Event: SPIE OPTO, 2010, San Francisco, California, United States

Abstract

Transfer and scattering matrix methods are widely in use for description of the propagation of waves in multilayered media. When the profile of refractive index is continuous, however, a modified formulation of transfer matrices does exist, which provides a complete analytical solution of the wave phenomena in such structures. Previously reported variations of the so-called Differential Transfer Matrix Method (DTMM) had been limited to Cartesian geometry where layered media form one-dimensional structures and plane waves are used as basis functions. In this work, we extend the formalism to cylindrical geometry with radial symmetry, in which Bessel functions need to be employed as basis functions. Hence, complete analytical formulation of the DTMM under radial and axial symmetry is described and derived. This work could have applications in the analysis of propagation in optical fibers and motion of electrons in nanowires and nanotubes.

Citation Download Citation

Mohsen Jiani, Sina Khorasani, Bizhan Rashidian, and Saeed Mohammadi "Formulation of differential transfer matrix method in cylindrical geometry", Proc. SPIE 7597, Physics and Simulation of Optoelectronic Devices XVIII, 75971V (25 February 2010); https://doi.org/10.1117/12.841537

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available