Basics of OPTICS OF MULTILAYER SYSTEMS GxhE5f;
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Contents Cfi4~ &
Preface……………………………………………………………………….………..……….4 T1C_L?L
Chapter 1 s&$?m [w
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: PaKa bPY
THEORY……………………………………………………………………………………….5 JSB+g;
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 "WKOlfPa
1.1.1 Layered medium electromagnetic field equations………………………………...5 &. =8Q?
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 5M>h[Q"R
1.1.3 The Fresnel formulas ……………………………………………………………18 DXf
1.1.4 Other ways of determining amplitude transmittance and reflectance of the K$Bv4_|x
layered medium…………………………………………………………………..19 _%CM<z
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1.1.5 Transmittance, reflectance and absorptance …………………………………….20 jG1(Oe;#
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 EGl<oxL*R2
1.2.1 Matrix calculating method ………………………………………………………22 "lt <$.
1.2.2 Description of optical coating and presentation of calculation results…………..28 {dF@Vg_n
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 qxI $F
1.2.4 Approximate formulas…………………………………………………………...33 TJv .T2|
1.2.5 Other recurrent methods…………………………………………………………34 $+80V{J#
1.2.6 The admittance phase plane……………………………………………………...38 ^0zfQu+!
1.3 Some common properties of multilayer coatings…………………………………….46 c+ZO C8R
1.3.1 The relation between the characteristic matrix and spectral coefficients of a eay|>xa2
multilayer coating ……………………………………………………………….47 +mrLMbBiD
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 |Z>-<]p9g
1.3.3 Transmittance and reflectance of the combination of two multilayer fizW\f8ai
subsystems ……………………………………………………………………....54 Y*BmBRN
1.4 The multilayer coatings optical properties: impact of variations in the layer &h/r]KrZ
parameters……………………………………………………………………………...58 d dgDq0N1j
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… uqc G3Pi
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral vhF9 |('G
coefficients: probability assessment method ……………………….…………...63 HVa D
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter TyV~2pc N
variations ………………………………………………………………………...66 k' 8q /]
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 ~Z5AIm R|
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 G
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1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 WD%( RC"Q
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 >12jU m)
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the >T;!Z 5L1
central wavelength ………………………………………………………………80 ! \s}A7
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 !Q"L )%)'A
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 - ;gQy [U
1.6.1 Common expressions for spectral coefficients of filter-type systems near central u0#KBXRo
wavelength ………………………………………………………………………88 d Co)en
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 7@"X?uo%o
Chapter 2 Ct'tUF<K5
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 uzxwJs'fz
2.1 Synthesis methods based on merit function optimization …………………………...98 9 &r]k8K
2.1.1 Merit function selection …………………………………………………………98 v9 \n=Z
2.1.2 Merit function optimization ……………………………………………………101 i1x4$ }
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 z*T 41;b
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 m%.4OXX"&
2.2.1 Needle-like variations of the refractive index ………………………………….115 )bg |l?
2.2.2 The principal idea of the method ………………………………………………119 D zD 5n
2.2.3 Description of the method ……………………………………………………...124 hwM<0Jf
Bibliography …...………………………………………….……………….………..……130
