Basics of OPTICS OF MULTILAYER SYSTEMS 4%L`~J4 wr
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Contents TR :V7 d
Preface……………………………………………………………………….………..……….4 [@"~'fu0
Chapter 1 UH=pQm ^W
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: u 0M[B7Q
THEORY……………………………………………………………………………………….5 * SH5p
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 =0,:w(Sb!
1.1.1 Layered medium electromagnetic field equations………………………………...5 ] ?!#*<t r
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 LE^kN<qMK
1.1.3 The Fresnel formulas ……………………………………………………………18 qcau(#I9.
1.1.4 Other ways of determining amplitude transmittance and reflectance of the pR6mS fer
layered medium…………………………………………………………………..19 ;&B;RUUnTO
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 V 8`o71p
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 bup)cX^
1.2.1 Matrix calculating method ………………………………………………………22 $X1T!i[.X
1.2.2 Description of optical coating and presentation of calculation results…………..28 )}QtK+Rq
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 IC& >PwXb
1.2.4 Approximate formulas…………………………………………………………...33 G9'Wo.$ t
1.2.5 Other recurrent methods…………………………………………………………34 Jq 0aDf
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1.2.6 The admittance phase plane……………………………………………………...38 13
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1.3 Some common properties of multilayer coatings…………………………………….46 A1Tk6i<F1
1.3.1 The relation between the characteristic matrix and spectral coefficients of a "G. L)oD
multilayer coating ……………………………………………………………….47 d:08@~#
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 e UMOV ]h
1.3.3 Transmittance and reflectance of the combination of two multilayer f'
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subsystems ……………………………………………………………………....54 %M"rc4Xd
1.4 The multilayer coatings optical properties: impact of variations in the layer v@_}R_pX
parameters……………………………………………………………………………...58 u#9 H
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… cXM4+pa=%
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral $['_m~
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coefficients: probability assessment method ……………………….…………...63 wrw4Uxq
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter m-V_J` 9"
variations ………………………………………………………………………...66 S ]_iobWK
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 OV<'v%_&
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 M<h2+0(il
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 3>60_:+Zb
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 +OSF0#bj
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the [D/q
central wavelength ………………………………………………………………80 ;+ : C
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 sfb)iH|sW
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 Zb> UY8
1.6.1 Common expressions for spectral coefficients of filter-type systems near central 4%k{vo5i
wavelength ………………………………………………………………………88 #0OW 0:Q
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 tzH~[n,
Chapter 2 l /WQqT
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 ! @EZ
2.1 Synthesis methods based on merit function optimization …………………………...98 mn5 y]:;`
2.1.1 Merit function selection …………………………………………………………98 TsiI5'tx
2.1.2 Merit function optimization ……………………………………………………101 90R z#qrI*
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 Y!!w*G9b
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 2G=prS`s
2.2.1 Needle-like variations of the refractive index ………………………………….115 ck0K^o v
2.2.2 The principal idea of the method ………………………………………………119 W(~7e?fO
2.2.3 Description of the method ……………………………………………………...124 {lv@V*_Y0
Bibliography …...………………………………………….……………….………..……130
