Basics of OPTICS OF MULTILAYER SYSTEMS L^^4=ao0
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Contents M. td^l0
Preface……………………………………………………………………….………..……….4 8_K6 0eXz
Chapter 1 B??J@+Nf
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: ""svDfy$
THEORY……………………………………………………………………………………….5 gGMWr.!
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1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 Rte+(- iL
1.1.1 Layered medium electromagnetic field equations………………………………...5 3gQPKBpc
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 b6E<r>q
1.1.3 The Fresnel formulas ……………………………………………………………18 _j>;ipTb+
1.1.4 Other ways of determining amplitude transmittance and reflectance of the \ (p{t
layered medium…………………………………………………………………..19 MCh#="L2
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 !6}O.Nu
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 _ IeU+tS
1.2.1 Matrix calculating method ………………………………………………………22 ]4 (?BJ
1.2.2 Description of optical coating and presentation of calculation results…………..28 !jqWwi
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 V\K<$?oUb
1.2.4 Approximate formulas…………………………………………………………...33 0Aa`p3.)
1.2.5 Other recurrent methods…………………………………………………………34 dd|W@Xp -
1.2.6 The admittance phase plane……………………………………………………...38 S-+M; @'Rl
1.3 Some common properties of multilayer coatings…………………………………….46 TzBzEiANn
1.3.1 The relation between the characteristic matrix and spectral coefficients of a -= 698h*
multilayer coating ……………………………………………………………….47 bAr` E
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 Y RlDX:oX~
1.3.3 Transmittance and reflectance of the combination of two multilayer UofTll)
subsystems ……………………………………………………………………....54 Y\2|x*KwvF
1.4 The multilayer coatings optical properties: impact of variations in the layer V^Rkt%JY
parameters……………………………………………………………………………...58 D@X+{
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… -RJE6~>'\
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral CVXytS?@x
coefficients: probability assessment method ……………………….…………...63 KjB/.4lLq
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter 4e9 q`~ sO
variations ………………………………………………………………………...66 % ]p6Kn/>
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 buk =p-oi
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 pUl8{YGS
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 N~ANjn/wL
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 V,%L ~ dI
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the f=J<* h
central wavelength ………………………………………………………………80 (
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1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 bl/,*Wx:4.
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 /NF# + bx
1.6.1 Common expressions for spectral coefficients of filter-type systems near central dV 8iwI
wavelength ………………………………………………………………………88 b]gY~c bI8
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 uHNpfK nZ
Chapter 2 jw6T j;c
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 (P6 vOo
2.1 Synthesis methods based on merit function optimization …………………………...98 Hoz5 6y
2.1.1 Merit function selection …………………………………………………………98 0=v{RQ;W4
2.1.2 Merit function optimization ……………………………………………………101 z 2/!m[U
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 8n4 V
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2.2 Synthesis method based on the needle-like variations of the refractive index ……114 t^E hE
2.2.1 Needle-like variations of the refractive index ………………………………….115 `#IcxweA
2.2.2 The principal idea of the method ………………………………………………119 #l1Q e`
2.2.3 Description of the method ……………………………………………………...124 f"&Xr!b.h
Bibliography …...………………………………………….……………….………..……130
