Basics of OPTICS OF MULTILAYER SYSTEMS 4?1Qe\A^
8j;Un]
Contents X#t tDB
Preface……………………………………………………………………….………..……….4 >lV,K 1Z
Chapter 1 +#MXeUX"
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: a5pl/d
THEORY……………………………………………………………………………………….5 $KbZ4bB[Bo
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 >t3_]n1e
1.1.1 Layered medium electromagnetic field equations………………………………...5 )vS0Au^C~
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 )] j3-#
1.1.3 The Fresnel formulas ……………………………………………………………18 s{@R|5
1.1.4 Other ways of determining amplitude transmittance and reflectance of the 6ieul@?*u*
layered medium…………………………………………………………………..19 AOZ C D{
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 YSeH;<'
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 rS_G;}Zr
1.2.1 Matrix calculating method ………………………………………………………22 bI &<L O
1.2.2 Description of optical coating and presentation of calculation results…………..28 G`zNCx.
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 Uw("+[ 5O0
1.2.4 Approximate formulas…………………………………………………………...33 +
f6 7y
1.2.5 Other recurrent methods…………………………………………………………34 TI D gIK
1.2.6 The admittance phase plane……………………………………………………...38 'hjEd.
1.3 Some common properties of multilayer coatings…………………………………….46 Lto*L X
1.3.1 The relation between the characteristic matrix and spectral coefficients of a f256;3n
multilayer coating ……………………………………………………………….47 _/LGGt4&%
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 [Kwj
7q`
1.3.3 Transmittance and reflectance of the combination of two multilayer }n==^2
subsystems ……………………………………………………………………....54 XL n9NBT4K
1.4 The multilayer coatings optical properties: impact of variations in the layer O6hzOyNX@
parameters……………………………………………………………………………...58 RE;A 0E_3
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… }*6BaB
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral .nD#:86M
coefficients: probability assessment method ……………………….…………...63 [h3xW
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter !kE5]<H\
variations ………………………………………………………………………...66 cX- M9Cz
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 ]lC% HlID
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 (L/>LZn|
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 yl-:9|LT
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 <c}@lj-j
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the +yP!7]
central wavelength ………………………………………………………………80 FW |&
iS$
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 t neTOj
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 {U=J>#@G
1.6.1 Common expressions for spectral coefficients of filter-type systems near central =npE?wK
wavelength ………………………………………………………………………88 kG>jb!e@(
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 a#j,0FKv
Chapter 2 y&$n[j
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 7_\sx7h{3
2.1 Synthesis methods based on merit function optimization …………………………...98 Pp_ 4B
2.1.1 Merit function selection …………………………………………………………98 L"bJ#0m
2.1.2 Merit function optimization ……………………………………………………101 \(\a=
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 q| D5
A|)
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 L jy797{f
2.2.1 Needle-like variations of the refractive index ………………………………….115 [9">} l
2.2.2 The principal idea of the method ………………………………………………119 >G5aFk
2.2.3 Description of the method ……………………………………………………...124 K3!3[dR*
Bibliography …...………………………………………….……………….………..……130
