Flow graph analysis of spectral properties of multilayered media

Gustavo E. Aizenberg; Pieter L. Swart; Beatrys M. Lacquet

doi:10.1117/12.175694

1 September 1994 Flow graph analysis of spectral properties of multilayered media

Gustavo E. Aizenberg, Pieter L. Swart, Beatrys M. Lacquet

Author Affiliations +

Optical Engineering, Vol. 33, Issue 9, (September 1994). https://doi.org/10.1117/12.175694

Abstract

A theoretical examination of the optical properties of layered structures is performed by means of signal flow graphs. Analytical expressions for reflectivity, transmissivity, reflectance, and transmittance are obtained for one-, two-, and three-layer media by using Mason's rule. We also derive alternative formulations of the bilinear transformed reflectance expressed as functions of the Fresnel reflectivity coefficients between the interfaces of the various layers. Under the assumption of lossless materials and normal incidence, these formulas are expressed as functions of refractive indices. These expressions are coincident with those obtained in the past when using the matrix technique. The study of transmittance for layered structures proves, however, that information about thickness and refractive index steps between layers is also available by applying similar digital signal processing techniques to the inverse transmittance.

Citation Download Citation

Gustavo E. Aizenberg, Pieter L. Swart, and Beatrys M. Lacquet "Flow graph analysis of spectral properties of multilayered media," Optical Engineering 33(9), (1 September 1994). https://doi.org/10.1117/12.175694

Published: 1 September 1994

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