Basics of OPTICS OF MULTILAYER SYSTEMS zKp R:F
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Contents I:6XM?
Preface……………………………………………………………………….………..……….4 y Pg0 :o-
Chapter 1 lJ,\^\q
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: VLJ]OW8cO
THEORY……………………………………………………………………………………….5
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1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 I!SIy&=W
1.1.1 Layered medium electromagnetic field equations………………………………...5 reM~q-M~o@
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 !;P[Y"h@r
1.1.3 The Fresnel formulas ……………………………………………………………18 | g1Cs
1.1.4 Other ways of determining amplitude transmittance and reflectance of the %@|)&][hO
layered medium…………………………………………………………………..19 >[:qJ|i%
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 ei"c|/pO
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 {u -J?(s}
1.2.1 Matrix calculating method ………………………………………………………22 Z
1.2.2 Description of optical coating and presentation of calculation results…………..28 lCBH3-0^
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 e+:X%a4\
1.2.4 Approximate formulas…………………………………………………………...33 |WSpWsr,
1.2.5 Other recurrent methods…………………………………………………………34 ?GqH/
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1.2.6 The admittance phase plane……………………………………………………...38 Y88N*axDW.
1.3 Some common properties of multilayer coatings…………………………………….46 ii>^ ]iT
1.3.1 The relation between the characteristic matrix and spectral coefficients of a yE(< F 2
multilayer coating ……………………………………………………………….47 ]&9=f#k%
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 } E[vW
1.3.3 Transmittance and reflectance of the combination of two multilayer xxr'g =
subsystems ……………………………………………………………………....54 6y57m;JW/
1.4 The multilayer coatings optical properties: impact of variations in the layer Qwve-[
parameters……………………………………………………………………………...58 +5 gX6V\
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...…………
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1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral `Q# )N0
coefficients: probability assessment method ……………………….…………...63 Y3s8@0b3
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter atw*t1)g
variations ………………………………………………………………………...66 j}`ku9S~
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 WFhppi
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 :ln?PT
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 Ts3!m jn
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 @&%/<|4P5
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the /-t!)_zvw
central wavelength ………………………………………………………………80 7I@df.rf6J
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 .o,-a >jL
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 dLeos9M:
1.6.1 Common expressions for spectral coefficients of filter-type systems near central m,J
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wavelength ………………………………………………………………………88 R0F [
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 Sw$/Z)1K&
Chapter 2 R lbJ4`a
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 2(Yg',aMY-
2.1 Synthesis methods based on merit function optimization …………………………...98 &4 #%xg
2.1.1 Merit function selection …………………………………………………………98 9 _.pLLx
2.1.2 Merit function optimization ……………………………………………………101 Xw jm T
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 G2 V$8lh
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 EwgNd Gcj
2.2.1 Needle-like variations of the refractive index ………………………………….115 ;!lwB
2.2.2 The principal idea of the method ………………………………………………119 s{{8!Q
2.2.3 Description of the method ……………………………………………………...124 ) EQI>1_
Bibliography …...………………………………………….……………….………..……130
