Basics of OPTICS OF MULTILAYER SYSTEMS XM/ P2=;
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Contents fB5Bh;K
Preface……………………………………………………………………….………..……….4 h2 Ifq!(:
Chapter 1 s,^?|Eo;0
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: +w/Ax[K
THEORY……………………………………………………………………………………….5 Tk-PCra
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 OwP 9=9};
1.1.1 Layered medium electromagnetic field equations………………………………...5 :^SpKe(7
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 G'(
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1.1.3 The Fresnel formulas ……………………………………………………………18 -A9 !Y{Z
1.1.4 Other ways of determining amplitude transmittance and reflectance of the 'uUp 1 +
layered medium…………………………………………………………………..19 $JTy`g0>x
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 p5C
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1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 1fL@rR
1.2.1 Matrix calculating method ………………………………………………………22 uNnwz%w
1.2.2 Description of optical coating and presentation of calculation results…………..28 qH6DZ|
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 -8tWc]c
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1.2.4 Approximate formulas…………………………………………………………...33 rsf A.o
1.2.5 Other recurrent methods…………………………………………………………34 5;V#Z@S
1.2.6 The admittance phase plane……………………………………………………...38 IxCEE 5+`%
1.3 Some common properties of multilayer coatings…………………………………….46 Cc]s94
1.3.1 The relation between the characteristic matrix and spectral coefficients of a d@"eWvnlZ
multilayer coating ……………………………………………………………….47 *&e+z-E
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 Bh*~I_T a>
1.3.3 Transmittance and reflectance of the combination of two multilayer d{0 w4_x
subsystems ……………………………………………………………………....54 w;'
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1.4 The multilayer coatings optical properties: impact of variations in the layer #hd<5+$U}l
parameters……………………………………………………………………………...58 AEi@t0By
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… 3h ";
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1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral eEn_ aX
coefficients: probability assessment method ……………………….…………...63 i#1T68y}
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter 8N6a= [fv<
variations ………………………………………………………………………...66 )?pin|_x
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 (k
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1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 nl5K1!1
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 )1j~(C)E8
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 !j4C: L3F
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the ;FZ\PxN
central wavelength ………………………………………………………………80 K4n1#]8i
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 Vw9 ^otJu
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 Sl ZL%C;
1.6.1 Common expressions for spectral coefficients of filter-type systems near central xbo-~{
wavelength ………………………………………………………………………88 v5w I ?HE
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 KN~E9oGs
Chapter 2 D5T\X-+]O
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 ^i-%FY_i5}
2.1 Synthesis methods based on merit function optimization …………………………...98 )gR14a
2.1.1 Merit function selection …………………………………………………………98 /~7H<^ }
2.1.2 Merit function optimization ……………………………………………………101 B0 q![
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 P>pkLP}
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2.2 Synthesis method based on the needle-like variations of the refractive index ……114 <4{@g]0R V
2.2.1 Needle-like variations of the refractive index ………………………………….115 2t [c^J
2.2.2 The principal idea of the method ………………………………………………119 =]xN pX)
2.2.3 Description of the method ……………………………………………………...124 l(=#c/f
Bibliography …...………………………………………….……………….………..……130
