Comparative study of the use of the matrix approach and the flow-graph approach for optical analysis of isotropic stratified planar structures

Dorian Minkov; Ryno Swanepoel

doi:10.1117/12.219524

15 September 1995 Comparative study of the use of the matrix approach and the flow-graph approach for optical analysis of isotropic stratified planar structures

Dorian Minkov, Ryno Swanepoel

Author Affiliations +

Proceedings Volume 2540, Current Developments in Optical Design and Engineering V; (1995) https://doi.org/10.1117/12.219524
Event: SPIE's 1995 International Symposium on Optical Science, Engineering, and Instrumentation, 1995, San Diego, CA, United States

Abstract

The matrix approach and the flow graph approach are basic mathematical tools used for calculation of the transmission and the reflection of isotropic stratified planar structures. It is shown that both approaches give the same analytical expressions for both the transmission and the reflection of a substrate, and of a thin layer on a substrate, independently of the optical parameters and the angle of light incidence. The expressions for the transmission and the reflection are different in the two approaches for a structure of two substrates. T plus R equals 1 is valid in both approaches for all the cases investigated when the structures are transparent.

Citation Download Citation

Dorian Minkov and Ryno Swanepoel "Comparative study of the use of the matrix approach and the flow-graph approach for optical analysis of isotropic stratified planar structures", Proc. SPIE 2540, Current Developments in Optical Design and Engineering V, (15 September 1995); https://doi.org/10.1117/12.219524

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