Basics of OPTICS OF MULTILAYER SYSTEMS ]|y] ?7
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Contents 6uAo0+-k
Preface……………………………………………………………………….………..……….4 DIU9Le
Chapter 1 sivd@7r\Fa
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: t=;84lA
THEORY……………………………………………………………………………………….5 s?2DLXv}!
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 uv,_?x\'
1.1.1 Layered medium electromagnetic field equations………………………………...5 .M$}.v
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 L`!M3c@u
1.1.3 The Fresnel formulas ……………………………………………………………18 7w U$P
1.1.4 Other ways of determining amplitude transmittance and reflectance of the jD
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layered medium…………………………………………………………………..19 RXj6L~vs5_
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 3hr ODts
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 UI,i 2<&
1.2.1 Matrix calculating method ………………………………………………………22 aeBA`ry"B
1.2.2 Description of optical coating and presentation of calculation results…………..28 5}/TB_W7j
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 ?5oeyBA@
1.2.4 Approximate formulas…………………………………………………………...33 h6Vm;{ ~
1.2.5 Other recurrent methods…………………………………………………………34 5 * d
1.2.6 The admittance phase plane……………………………………………………...38 4p %=8G|
1.3 Some common properties of multilayer coatings…………………………………….46 P=j 89-e
1.3.1 The relation between the characteristic matrix and spectral coefficients of a j+_pF<$f:
multilayer coating ……………………………………………………………….47 FrXh\4C
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 3/w) mY-o
1.3.3 Transmittance and reflectance of the combination of two multilayer f~3_Rv!
subsystems ……………………………………………………………………....54 1YklPMx6
1.4 The multilayer coatings optical properties: impact of variations in the layer mu1Lg s$;
parameters……………………………………………………………………………...58 l-N4RC t h
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… [ uh$\s7
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral _(q| W3
coefficients: probability assessment method ……………………….…………...63 r95l.v
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter z>f>B6
variations ………………………………………………………………………...66 ET&Q}UO E
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 @?w8XHEa|
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 a^*@j :[
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 e (^\0 =u<
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 qQ_o>+3VAy
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the )cMW,
central wavelength ………………………………………………………………80 =H F||p@
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 CS:mO |
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 U se`E
1.6.1 Common expressions for spectral coefficients of filter-type systems near central D &xb tJd
wavelength ………………………………………………………………………88 9\|n2$H:
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 ?}N@bsl08w
Chapter 2 +N9(o+UrU
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 QX*HvT
2.1 Synthesis methods based on merit function optimization …………………………...98 8G>;X;W
2.1.1 Merit function selection …………………………………………………………98 % m hnd):
2.1.2 Merit function optimization ……………………………………………………101 ' Vp6=,P
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 l"\W] 'T:r
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 r2EIhaGF;
2.2.1 Needle-like variations of the refractive index ………………………………….115 ?\ QEK
2.2.2 The principal idea of the method ………………………………………………119 }<EA)se"
2.2.3 Description of the method ……………………………………………………...124 T4\F=iw4
Bibliography …...………………………………………….……………….………..……130
