Basics of OPTICS OF MULTILAYER SYSTEMS p; n"zr8 U
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Contents N|\Q:<!2_w
Preface……………………………………………………………………….………..……….4 5)i OG#8qJ
Chapter 1 v,^W& W.
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: Bvsxn5z+:
THEORY……………………………………………………………………………………….5 2 rPmu
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 c e:p*
1.1.1 Layered medium electromagnetic field equations………………………………...5 K $/&C:,Q
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 B nUWg ^E
1.1.3 The Fresnel formulas ……………………………………………………………18 TP{2q51yM
1.1.4 Other ways of determining amplitude transmittance and reflectance of the O QGKH6q
layered medium…………………………………………………………………..19 -+{<a!Nb
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 ???` BF[|
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 (NC]S
1.2.1 Matrix calculating method ………………………………………………………22 Lz{z~xNHW.
1.2.2 Description of optical coating and presentation of calculation results…………..28 @L?Kc GD
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 {e p( _1
1.2.4 Approximate formulas…………………………………………………………...33 xtO#reL"q?
1.2.5 Other recurrent methods…………………………………………………………34 z}w7X6&e
1.2.6 The admittance phase plane……………………………………………………...38 YJu~iQ`i
1.3 Some common properties of multilayer coatings…………………………………….46 J"~!jrzBh(
1.3.1 The relation between the characteristic matrix and spectral coefficients of a 5yk#(i 7C
multilayer coating ……………………………………………………………….47 AF\Jh+ynT!
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 z"P/Geb :O
1.3.3 Transmittance and reflectance of the combination of two multilayer QTC!vKM
subsystems ……………………………………………………………………....54 dVe,;?+A
1.4 The multilayer coatings optical properties: impact of variations in the layer $Da?)Hz'F
parameters……………………………………………………………………………...58 * }) W>
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… * o{7 a$V
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral z3I
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coefficients: probability assessment method ……………………….…………...63 %X|u({(zb
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter Q$(Fm a 4a
variations ………………………………………………………………………...66 s@IgaF {
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 _;M3=MTM9
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 %+^Qs\j
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 T>68 ,; p
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 l "-Z#[
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the Bmt^*;WY+
central wavelength ………………………………………………………………80 ^B:;uyG]M
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 3 3zE5 vr
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 Q_>W!)p Gz
1.6.1 Common expressions for spectral coefficients of filter-type systems near central ly:2XvV3~
wavelength ………………………………………………………………………88 5]xSK'6W
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 !_P&SmK3
Chapter 2 N "} N>xe2
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 A `{hKS
2.1 Synthesis methods based on merit function optimization …………………………...98 -Xx4:S
2.1.1 Merit function selection …………………………………………………………98 0X3yfrim
2.1.2 Merit function optimization ……………………………………………………101 dXfLN<nD>U
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 TV=K3F 5)M
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 # %EHcgF
2.2.1 Needle-like variations of the refractive index ………………………………….115 ,Qs%bq{t
2.2.2 The principal idea of the method ………………………………………………119 _b$ yohQ
2.2.3 Description of the method ……………………………………………………...124 t)1`^W}
Bibliography …...………………………………………….……………….………..……130
