Handbook of Optics: Devices, Measurements, and Properties, Volume II, Second Edition

Chapter 27: ELLIPSOMETRY

Rasheed M. A. Azzam

Department of Electrical Engineering
College of Engineering
University of New Orleans
New Orleans, Louisiana

27.1 GLOSSARY

A

instrument matrix

?/2S 1

E

electrical field

E 0

constant complex vector

f ( )

function

I

interface scattering matrix

k

extinction coefficient

L

layer scattering matrix

N

complex refractive index = n ? jk

n

real part of the refractive index

R

reflection coefficient

r

reflection coefficient

S ij

scattering matrix elements

s, p

subscripts for polarization components

X

exp ( ? j2 ?d/ )

?

ellipsometric angle

dielectric function

psuedo dielectric function

?

? i / ? r

angle of incidence

? i

E is /E ip

? r

E rs /E rp

?

ellipsometric angle

27.2 INTRODUCTION

Ellipsometry is a nonperturbing optical technique that uses the change in the state of polarization of light upon reflection for the in-situ and real-time characterization of surfaces, interfaces, and thin films. In this chapter we provide a brief account of this subject with an emphasis on modeling and instrumentation. For extensive coverage, including applications, the reader is referred to several monographs,1 3 user s guides,4 5 collected reprints,6 conference proceedings,7 12 and general and topical reviews .13 32

In ellipsometry, a collimated beam of monochromatic or quasi-monochromatic light, which is polarized in a known state, is incident on a sample surface under examination, and the state of polarization of the reflected light is analyzed. From the incident and reflected...

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