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简介 fx_#3=bXi aP 人眼光学模型可用来设计眼科用设备,光学系统注定了要与人眼一起使用。本文演示了这样一个模型:Arizona眼睛模型,在Jim Schwiegerling教授的书中有详细描述:《Field Guide to Visual and Ophthalmic Optics》。AZ眼睛模型达到了基于平均临床数据所决定的轴上和轴外像差等级。FRED文件包含了此眼睛模型及几个用来分析它的光源,并包括一个基于想要的屈光度来调整模型的内嵌脚本。 WMa0L&C~v N2}SR|. 模型 S"Cz.
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dHP 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 7a'yO+7-) A ]A{HEX Table 1. AZ眼睛模型的定义 #4'wF4DR@ 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. ls
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Pbe 光源 ! dzgi: >s{I@#9 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 .r<aPy$ Iy9hBAg\y |qUGB.Q 图1. 光源和提示信息使用 nTqU~'d' 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 s7 "xDDV yXR1NYg 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 MuY:(zC% 'K,\ 图2. 字母F光源的设定方法光 q`<:CfCt yV{B,T`W 图3. 字母F在视网膜上位置点列图 c1'@_Is 视网膜的散射 o]e,5] wGArR7r 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 |RiJ>/MK\ QO'Hyf t i?6&4 图4. 视网膜朗伯散射设定 uDDa>Ka#+ 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 i<Vc~!pT +FTc/r 9* )&hhBs, 图5. 视网膜重点采样规格设定 6 Xvpk1 脚本 _
>OP RPz[3y 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: \HeJc:^ d/7fJ8y8 图6. 用户对话框的创建与编辑 Pp8S\%z~h 图7. 用户对话框编辑器 +vh|m5"7I7 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 S>yi D`v 余下的脚本计算与屈光度有关的所有参数。 n$/|r &K9;GZS? 分析 v"bWVc~H 7*5B 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 jdxHWkQ iE~!?N|a3 图7. 字母F在视网膜上颜色分析 +K4XMf 脚本代码 bwsKdh hw
DxGiU Option Explicit 'Remove this to enable non-dimensioned variables to be used. O*xx63%jR ')uYI;h9 Dim entity As T_ENTITY TjW!-s?S Dim op As T_OPERATION uwNJM Dim mat As T_MODELMATERIAL ]&*POri& Dim A As Double Ds`e-X)O;\ Dim pupilDiam As Double -H-U8/W C Dim eID As Long )pWgt5:7~ Dim parID As Long !7N:cx'Qy Dim count As Integer E'QAsU8pP Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double FOTe,F.8 Dim tlens As Double, nlens As Double KYFKH+d>m Dim curv As Double, conic As Double kuEXNi1l Dim ok As Long UUt"8]@[ F\:~^` Sub Main 37U8< p*g Fr hm '用户输入对话框 ='7m$,{(Q[ Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 y~9wxK TextBox 220,21,40,21,.TextBox1 'default: 0 )@g[aRFa Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 b;i*}4h! OKButton 40,91,90,21 8em'7hR9 CancelButton 190,91,90,21 72<9xNcB!} Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 wLV,E,gM TextBox 220,49,40,21,.TextBox2 'default: 4 RNT9M:w End Dialog Za|7gt];l Dim dlg As UserDialog QK-aH1r |+cz\+ ok = Dialog (dlg) k6tCfq; @cDB 7w\ If ok=0 Then 'cancel button was pressed Etz#+R&* Print "Execution cancelled." >F$9&s& End {*_Ln End If aHhLz>H' y1V}c, 'Assign accommodation and pupil diameter & use defaults if field left empty TFSdb\g If dlg.TextBox1 = "" Then &h5Vhzq(< A = 0 'Default accommodation VUP|j/qD Else A*h8 o9M A = CDbl(dlg.TextBox1)
b_x!m{ End If E?w#$HS 8FsQLeOE If dlg.TextBox2 = "" Then ndSu-8?L pupilDiam = 4 'Default pupil diameter RD`|Z~:q:K Else A c_P^ pupilDiam = CDbl(dlg.TextBox2) 3D|Lb]= End If x\yM|WGL > X~\(|EM Print " " _}{KS, f]0 Print "Accommodation = " & A & " Diopters" ZU\$x<, Print "Pupil Diameter = " & pupilDiam & " mm" WIWo4[( ]3,'U(!+ ' Calculate new parameters with accommodation !r/i<~'Bx taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness i\xs!QU #$WnMJ@ Rant = 12.0 - 0.4*A 'Radius of anterior lens re/-Yu$' CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens &8VH m?h %JeNDXbI4 Rpost = -5.224557 + 0.2*A 'Radius of posterior lens 6#=Iv X4 CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens htB2?%S=T ]OpGD5jZ tlens = 3.767 + 0.04*A 'Lens thickness HNZ$CaJh z %}"= nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction 7gX32r$%V M6-uTmN:d 'Adjust parameters to account for accommodation ]}`t~#Irz D0J{pAJ '************************************************************************* B)q }]Qn 'Aqueous thickness (Position of Lens) 9SC1A -nF '************************************************************************* ruaZ(R[ eID = FindFullName( "Geometry.Arizona Eye.Lens" ) ,2AulX1 GetCustomElement eID, entity $1=7^v[U +*.*bo parID = FindFullName( "Geometry.Arizona Eye" ) g$Tsht(rHD ,ei9 ?9J1 ' Delete any shift(s) in z ~&:-c v count = 0 fw %p_Cm While GetOperationCount(eID)>count Q<>u)%92@ GetOperation eID, count, op 'DW|a If op.Type="ShiftZ" Then ivo3pibk% DeleteOperation eID,count $HwF:L)* count=count-1 d.}65{F,x End If 9fp"r,aHN& count=count+1 -zECxHjx Wend \J:+Wl.9A Rk9n,"xpv 'Set new shift in CC^D4]ug op.Type = "ShiftZ" \d:Q%S op.val1 = taq xxGm T.& op.parent = parID yBK$2to~ AddOperation eID, op s:{[Y7\? Print "Set aqueous humor thickness = " & taq-0.55 zFOtOz`9H WvU[9ME^) '************************************************************************* b GSj?t9/ 'Radius and conic constant of anterior lens aPJTH0u '************************************************************************* Xau%v5r eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) YusmMsN? GetConic eID, entity, curv, conic D[^K0<-Z 9>{ml&$ SetConic eID, entity, 1/Rant, CCant )d[n-Si Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant Jk{SlH3' )pI( < '************************************************************************* 3MX#}_7A 'Radius and conic constant of posterior lens @zGF9O<3,@ '************************************************************************* 5CnNp?.t^ eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) S^R dj ] GetConic eID, entity, curv, conic h]@'M1D% C32*RNG?U SetConic eID, entity, 1/Rpost, CCpost [(
xPX Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost sssw(F }^I36$\ '************************************************************************* -sHX 'Lens thickness (Position of posterior lens surface) %nJo:/ '************************************************************************* UR'v;V&Cb\ 9@qkj
4w parID = FindFullName( "Geometry.Arizona Eye.Lens" ) / 8O=3 8XV RRk ' Delete any z-shift(s) NvzPZ9=@- count = 0 5XT^K)' While GetOperationCount(eID)>count 7j|CWurvq GetOperation eID, count, op 2KO`+ If op.Type="ShiftZ" Then x7B;\D#`i/ DeleteOperation eID,count jhRr! count=count-1 ['>ZC3?"h End If ^coCsV^CW" count=count+1 NJJ=ch Wend zw'%n+5m = y^5PjN 'Set new z-shift 3LyNi$`f op.Type = "ShiftZ" Z|KDi
`S op.val1 = tlens XFTqt] op.parent = parID DhxS@/ AddOperation eID, op xi"ff. Print "Set lens thickness = " & tlens NPv.7, #P!<u Lc% '************************************************************************* lpPPI+|4N 'Lens index of refraction \ v+>qY<q '************************************************************************* 6RIbsy eID = FindMaterial( "Lens" ) N, u]2,E GetModelMaterial eID, mat z3[J
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_BI< mat.Nd = nlens f>xi (0 SetModelMaterial eID, mat D,*|:i Print "Set lens index of refraction = " & nlens .~
uKr^% NHUJ:j@ '************************************************************************* &b>&XMIK 'Pupil diameter l(x0d '************************************************************************* }>y!I5O eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 3ouy-SQ x?A<X2 'Adjust pupil diameter (trimming volume inner hole) AEM;ZQU aZo}Ix:/ SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" k:7Gb7\ bD/ZKvg ' Adjust pupil location to just in front of the lens PN99 R]K0g parID = FindFullName( "Geometry.Arizona Eye" ) a
Z)1S X`D eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) W=g'Xu!|!2 count = 0 2aR9vmR While GetOperationCount(eID)>count \^pc"?Rc GetOperation eID, count, op U<F|A!Fg If op.Type="ShiftZ" Then [< g9jX5 DeleteOperation eID,count @x*xgf count=count-1 =!DX,S7 End If Q)XH5C2X count=count+1 iEI#J!~ Wend zC:Pg4=w] op.Type = "ShiftZ" |_g7k2oLY op.val1 = taq-0.01 sk07|9nU op.parent = parID &=S:I!9;; AddOperation eID, op OpazWcMoo ab9ec Z Print "Set pupil diameter = " & pupilDiam `z q+Xl ^B%ki 'Update AZ Eye subassembly Description |Wa.W0A eID = FindFullName( "Geometry.Arizona Eye" ) 'aV'Am+: GetEntity eID, entity H}_R `S entity.Description = "Accommodation = " & A & "D" cGm?F,/` SetEntity eID, entity V=&M\58 czT2f Update ?vbAaRg50s Print "DONE!" yaG:}=.3 ]zAwKuIK End Sub jPo,mz&^ :J@3:+sr 如果屈光度是4,光瞳直径是4,则会输出如下数据: kf<c[ su s8's(*] Accommodation = 4 Diopters h|PC?@jp Pupil Diameter = 4 mm w2s06`g Set aqueous humor thickness = 2.81 wC%qS y' Set anterior lens radius = 10.4 and conic constant = -2.375869 vw:GNpg'R6 Set posterior lens radius = -4.424557 and conic constant = -3.081019 WC=d@d)M Set lens thickness = 3.927 %rhZH^2 Set lens index of refraction = 1.42672 f34/whD65 Set pupil diameter = 4 }%PK %/ zI DONE! J,?F+Qji&=
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