Basics of OPTICS OF MULTILAYER SYSTEMS 1B4Qj`:+0
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Contents S ~Gse+*
Preface……………………………………………………………………….………..……….4 ?@ oF@AEx=
Chapter 1 X <%D@$
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: z V&l^.
THEORY……………………………………………………………………………………….5 l{[@A hb}?
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 \V>5) R n
1.1.1 Layered medium electromagnetic field equations………………………………...5 = QBvU)Ki
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 OXEEpoU?V
1.1.3 The Fresnel formulas ……………………………………………………………18 p3M!H2W
1.1.4 Other ways of determining amplitude transmittance and reflectance of the ;M3%t=KV
layered medium…………………………………………………………………..19 %zcA|SefP
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 VE+H! ob
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1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 h$02#(RHJ
1.2.1 Matrix calculating method ………………………………………………………22 izl6L
1.2.2 Description of optical coating and presentation of calculation results…………..28 \l59/ZFan
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 -uYxc=4Lh
1.2.4 Approximate formulas…………………………………………………………...33 1{a%V$S[
1.2.5 Other recurrent methods…………………………………………………………34 |[.-pA^
1.2.6 The admittance phase plane……………………………………………………...38 TDH^x1P
1.3 Some common properties of multilayer coatings…………………………………….46 |oPRP1F-;e
1.3.1 The relation between the characteristic matrix and spectral coefficients of a '`2KLO>!
multilayer coating ……………………………………………………………….47 E#J})cPzw
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 fu5L)P^T
1.3.3 Transmittance and reflectance of the combination of two multilayer a:cci?cb
subsystems ……………………………………………………………………....54 bT ,_=7F
1.4 The multilayer coatings optical properties: impact of variations in the layer p [Po*c.b
parameters……………………………………………………………………………...58 @su<h\)
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… iXMJ1\!q\|
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral i\sBey ND"
coefficients: probability assessment method ……………………….…………...63 8c9HJ9 vk
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter { M**a
variations ………………………………………………………………………...66 &r1(1<
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 ,31 ?
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1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 83v Mj$P
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 cyl%p$
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 \BnU ?z
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the : B^"V\WE
central wavelength ………………………………………………………………80 kq}byv}3I
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 ;5tOQ&p%v
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 `\UY5 n72
1.6.1 Common expressions for spectral coefficients of filter-type systems near central Bv<g Vt
wavelength ………………………………………………………………………88 tkj-.~@g0'
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 , jY:@< n
Chapter 2 =~;~hZj
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 JN
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2.1 Synthesis methods based on merit function optimization …………………………...98 2VN].t:
2.1.1 Merit function selection …………………………………………………………98 r9ulTv}X
2.1.2 Merit function optimization ……………………………………………………101 ]h S:0QE
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 e0`z~z]6&
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 cB uuq
2.2.1 Needle-like variations of the refractive index ………………………………….115 ^-"Iw y
2.2.2 The principal idea of the method ………………………………………………119 b? );
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2.2.3 Description of the method ……………………………………………………...124 \bARp z?a
Bibliography …...………………………………………….……………….………..……130
