Basics of OPTICS OF MULTILAYER SYSTEMS Gd)@PWK
"`DCXn#mB
Contents H1uNlPT
Preface……………………………………………………………………….………..……….4 IKM=Q.
7j
Chapter 1 Q{Gi**<
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: (9h{7<wD`
THEORY……………………………………………………………………………………….5 Dg]ua5jk
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 0px@3/
1.1.1 Layered medium electromagnetic field equations………………………………...5 "t+VF 4r
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 H&6 5X
1.1.3 The Fresnel formulas ……………………………………………………………18 jNN$/ZWm
1.1.4 Other ways of determining amplitude transmittance and reflectance of the im^G{ 3z
layered medium…………………………………………………………………..19
%-+lud
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 ^f{+p*i}:
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 uXuMt
a* Y
1.2.1 Matrix calculating method ………………………………………………………22 @3bQ2jn
1.2.2 Description of optical coating and presentation of calculation results…………..28 M:OY8=V
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 [{_JO+)+n
1.2.4 Approximate formulas…………………………………………………………...33 QQKvy0?1
1.2.5 Other recurrent methods…………………………………………………………34 ZD1UMB0$4
1.2.6 The admittance phase plane……………………………………………………...38 {A4"K X(U
1.3 Some common properties of multilayer coatings…………………………………….46 raGov`
1.3.1 The relation between the characteristic matrix and spectral coefficients of a 9r X[z :
multilayer coating ……………………………………………………………….47 VrhG=CK
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 w%cd $"EH
1.3.3 Transmittance and reflectance of the combination of two multilayer x~ xaE*r
subsystems ……………………………………………………………………....54 -^8gZk/(W
1.4 The multilayer coatings optical properties: impact of variations in the layer >?yaG=
parameters……………………………………………………………………………...58 VAc -RaA
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… @B$ Y`eK\
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral x+( h#+F
coefficients: probability assessment method ……………………….…………...63 b L+Hw6;
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter j_SRCm~:
variations ………………………………………………………………………...66 Vw=e C"
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 6a PZW
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 wH[@#UP3l
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 <tAn2e!
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 e cA[
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the KYVB=14
central wavelength ………………………………………………………………80 5aw#!K=J'
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 E/:<9xl
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 #KZ- "$
1.6.1 Common expressions for spectral coefficients of filter-type systems near central Zb`}/%\7
wavelength ………………………………………………………………………88 vk+TWf
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 BCF- lrZ &
Chapter 2 $lci{D32,
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 Y_ S ^B)y
2.1 Synthesis methods based on merit function optimization …………………………...98
N\DEY]
2.1.1 Merit function selection …………………………………………………………98 UaCEh?D+Y
2.1.2 Merit function optimization ……………………………………………………101 'OSZ'F3PV
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 $k*E^~qT
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 InMeD[*^
2.2.1 Needle-like variations of the refractive index ………………………………….115 2(LS <HqP[
2.2.2 The principal idea of the method ………………………………………………119 :{%6< j
2.2.3 Description of the method ……………………………………………………...124 >+R`3 |o
'
Bibliography …...………………………………………….……………….………..……130
