Basics of OPTICS OF MULTILAYER SYSTEMS TQJF+;%
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Contents GV8)Kor%
Preface……………………………………………………………………….………..……….4 bS rZ{l
Chapter 1 ? Y3@" rdR
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: aZKXD! 4
THEORY……………………………………………………………………………………….5 z0Xa_w=
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 e$w t&^ W
1.1.1 Layered medium electromagnetic field equations………………………………...5 gS$A
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 DYRE1!
1.1.3 The Fresnel formulas ……………………………………………………………18 tU:FX[&?R
1.1.4 Other ways of determining amplitude transmittance and reflectance of the i03gX<=*
layered medium…………………………………………………………………..19 %v4ZGtKC@
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 zvr\36
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 Q2c*.Y
1.2.1 Matrix calculating method ………………………………………………………22 9j#@p
1.2.2 Description of optical coating and presentation of calculation results…………..28 ETp'oh}?
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 v!trsjb
1.2.4 Approximate formulas…………………………………………………………...33 x?L hq2
1.2.5 Other recurrent methods…………………………………………………………34 ^i`*Wm@!
1.2.6 The admittance phase plane……………………………………………………...38 "E H ,J
1.3 Some common properties of multilayer coatings…………………………………….46 l1<?ONB.#
1.3.1 The relation between the characteristic matrix and spectral coefficients of a ?@U AL .y
multilayer coating ……………………………………………………………….47 2EfflZL3
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 \hbi U ]
1.3.3 Transmittance and reflectance of the combination of two multilayer _M5Xk? e=
subsystems ……………………………………………………………………....54 54q3R`y
1.4 The multilayer coatings optical properties: impact of variations in the layer vg(K$o{BT
parameters……………………………………………………………………………...58 }-p,iTm
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… doD>m?rig3
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral hZN<Yd8:
coefficients: probability assessment method ……………………….…………...63 ;+`uER
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter 0x5xL g;Q
variations ………………………………………………………………………...66 >IY,be6>P
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 Y= Hz;Ni
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 XDYosC:
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 >Z\BfH
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 DB@EVH
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the >}SRSqJu
central wavelength ………………………………………………………………80 X/+OF'po
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 ;fGx;D
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 'm O2t~n
1.6.1 Common expressions for spectral coefficients of filter-type systems near central 8#59iQl
wavelength ………………………………………………………………………88 (vQ+e
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 yVS\Q,:J9
Chapter 2 d e YyaV
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 s;{K!L@
2.1 Synthesis methods based on merit function optimization …………………………...98 zj%cQkZ
2.1.1 Merit function selection …………………………………………………………98 -3hCiKq
2.1.2 Merit function optimization ……………………………………………………101 >5Lexj
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 FFe) e>bH
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 <4mQ*6
2.2.1 Needle-like variations of the refractive index ………………………………….115 qI2'u %
2.2.2 The principal idea of the method ………………………………………………119 Fe$/t(
2.2.3 Description of the method ……………………………………………………...124 T=\!2gt
Bibliography …...………………………………………….……………….………..……130
