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简介 $(1t~u<17 人眼光学模型可用来设计眼科用设备,光学系统注定了要与人眼一起使用。本文演示了这样一个模型:Arizona眼睛模型,在Jim Schwiegerling教授的书中有详细描述:《Field Guide to Visual and Ophthalmic Optics》。AZ眼睛模型达到了基于平均临床数据所决定的轴上和轴外像差等级。FRED文件包含了此眼睛模型及几个用来分析它的光源,并包括一个基于想要的屈光度来调整模型的内嵌脚本。 }<Ydj .85 @-q,%)?0}= 模型 Ws2q/[\oz 0|GYt nd 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 Qf:e;1F! t>[QW`EeP Table 1. AZ眼睛模型的定义 u(9pRr
L 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. g@H<Q('fJ jFQ y[k-B 光源 %Wtf24'o;v zw<<st Bp 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 A}(xH`A O"\4[HE^ o$@/@r 图1. 光源和提示信息使用 {4+/0\ 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。 [if(B\& V9[_aP; 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。 B)q }]Qn 9SC1A -nF 图2. 字母F光源的设定方法光 ra~=i|s uQdeKp4( 图3. 字母F在视网膜上位置点列图 ;D'm=uOl 视网膜的散射 P2'c{],3V <Sot{_"li 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。 7FwtBO {aE[h[=r EW$drY@ 图4. 视网膜朗伯散射设定 A!Tl 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 a`Bp^(f} 9Qyc!s` bK "I9T # 图5. 视网膜重点采样规格设定 091m$~r* 脚本 w5Fk#zJv m{>1#1;$t 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: bB@=J~l4 smCACQ$( 图6. 用户对话框的创建与编辑 gwB,*.z 图7. 用户对话框编辑器 j+!u=E 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。 V@0T&# 余下的脚本计算与屈光度有关的所有参数。 t__f=QB/ kQI'kL8> 分析 :V(C+bm * 33%hZ`/> 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 m03dL^( 2IJniS=[> 图7. 字母F在视网膜上颜色分析 14&| (M 脚本代码 J@_M%eN &zYQH@ Option Explicit 'Remove this to enable non-dimensioned variables to be used. J5a8U&A `n,RC2yo Dim entity As T_ENTITY ]Mq-67 Dim op As T_OPERATION 2Ys=/mh Dim mat As T_MODELMATERIAL 39^+;Mev Dim A As Double shB3[W{}!) Dim pupilDiam As Double rk=/iD Dim eID As Long @o[ZJ4>* Dim parID As Long 3ZT3I1/D Dim count As Integer 6O?zi|J[: Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double $\/i t Dim tlens As Double, nlens As Double YUSrZ9Yg Dim curv As Double, conic As Double z*HM_u Dim ok As Long
@Mg&T$ ~_BjcY Sub Main T=NLBJ 9T;>gm '用户输入对话框 o0AT&<K Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 :V$\y up TextBox 220,21,40,21,.TextBox1 'default: 0 Jd `Qa+ Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 lOA
EM OKButton 40,91,90,21 i&(1<S>P CancelButton 190,91,90,21 wv3*o10_w8 Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 HH6n3c!:mm TextBox 220,49,40,21,.TextBox2 'default: 4 vo Et\H End Dialog v2gk1a& Dim dlg As UserDialog a /]FlT u ^#UsOt+ ok = Dialog (dlg) 3L2NenJB o w(9dB&E If ok=0 Then 'cancel button was pressed h@JX?LzZS Print "Execution cancelled." -[N9"Z, End {$t*XTY6R End If BN(=LQ2[" {zd[8TJ~xa 'Assign accommodation and pupil diameter & use defaults if field left empty OL_#Uu If dlg.TextBox1 = "" Then G>?kskm A = 0 'Default accommodation Z=$-S(>J Else 0"j:-1 A = CDbl(dlg.TextBox1) FD!8o End If ;\|GU@K{hC $S>bcsAy If dlg.TextBox2 = "" Then nGX3_-U4 pupilDiam = 4 'Default pupil diameter ;k0Jl0[} Else m*1 pupilDiam = CDbl(dlg.TextBox2) FaJK
R End If hrJ(] [8 s;Bh69 Print " " Dl~(NLM Print "Accommodation = " & A & " Diopters" RFsUb:%V7- Print "Pupil Diameter = " & pupilDiam & " mm" 4cy,'B rYV]<[?~7 ' Calculate new parameters with accommodation )Vy0V= taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness {o^tSEN!- 4n.JRR&; Rant = 12.0 - 0.4*A 'Radius of anterior lens Uufig)6 CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens 2\&3x}@ D9;pjY Rpost = -5.224557 + 0.2*A 'Radius of posterior lens vaQsG6q[ CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens 3 ;" [WOv izcjI.3e, tlens = 3.767 + 0.04*A 'Lens thickness mc`Z;D/mt RIUJX{? nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction [So1`IA6 Hr=|xw8. 'Adjust parameters to account for accommodation G*_]Lz(N =mX26l`B '************************************************************************* R<I#.
KD 'Aqueous thickness (Position of Lens) O..{wdZy '************************************************************************* `, ]ui* eID = FindFullName( "Geometry.Arizona Eye.Lens" ) rS!@AgPLE GetCustomElement eID, entity ,K@[+ R! K@:omT parID = FindFullName( "Geometry.Arizona Eye" ) |Wa.W0A 'aV'Am+: ' Delete any shift(s) in z H}_R `S count = 0 cGm?F,/` While GetOperationCount(eID)>count V=&M\58 GetOperation eID, count, op /Q)I5sL@E If op.Type="ShiftZ" Then sMVk]Mb DeleteOperation eID,count x'?p?u~[ count=count-1 B R End If C6F7,v62 count=count+1 RiAMW|M"C Wend <-'
!I& [\eVX`it 'Set new shift in %A3m%&(m&% op.Type = "ShiftZ" {7DXSe4 op.val1 = taq G0Z5 h op.parent = parID IS!OO< AddOperation eID, op iOZ#}" Print "Set aqueous humor thickness = " & taq-0.55 +w.$"dF! n8)&1
q?V '************************************************************************* CV=qcD 'Radius and conic constant of anterior lens [aA@V0l '************************************************************************* w-R.) eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) u23_*W\ GetConic eID, entity, curv, conic zx$1.IM"4 ?%~^PHgZ| SetConic eID, entity, 1/Rant, CCant *aS+XnT/ Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant uD?G\"L
i 1anh@T. '************************************************************************* 9.xRDk 'Radius and conic constant of posterior lens ia_@fQ '************************************************************************* .hG*mXw> eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) xk/-TXB
0 GetConic eID, entity, curv, conic uxDM
# EFx>Hu/[G SetConic eID, entity, 1/Rpost, CCpost QnP3U Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost 4'`P+p"A 9M($_2,44 '*************************************************************************
7FY2a 'Lens thickness (Position of posterior lens surface) +XO\#$o>W '************************************************************************* ))Z>$\<: G{4s~Pco[Q parID = FindFullName( "Geometry.Arizona Eye.Lens" ) ,YvOk|@R "@hd\w{. ' Delete any z-shift(s) Q~0>GOq* count = 0 T\$i=,_$ While GetOperationCount(eID)>count _4)z:?G5 GetOperation eID, count, op %1jcY0zEQ If op.Type="ShiftZ" Then |LbAW/9a DeleteOperation eID,count <B0f count=count-1 JrY*K|YdW End If rq!*unJ count=count+1 &V~l(1 Wend j-R*!i qF`6l( 'Set new z-shift 2'- "&d+O op.Type = "ShiftZ" 8 I_ op.val1 = tlens gELG/6l op.parent = parID KgkRs?'z AddOperation eID, op {]}94T~/k Print "Set lens thickness = " & tlens QM3DB $qYP|W '************************************************************************* 6*>Lud 'Lens index of refraction vaP`' '************************************************************************* x,U_x eID = FindMaterial( "Lens" ) %EVgS F!r GetModelMaterial eID, mat o.fqJfpj mrnPZf i mat.Nd = nlens =HsE:@ SetModelMaterial eID, mat =(7nl#o Print "Set lens index of refraction = " & nlens b=/'cQ X)~wB7_0G '************************************************************************* P][jB 'Pupil diameter =iKl<CqI$E '************************************************************************* 7>j~;p{ eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) YVDFcN9v P* `*^r3 'Adjust pupil diameter (trimming volume inner hole) :[_msd ; iia?f1 SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" *QiQ,~Ep < z2wt ' Adjust pupil location to just in front of the lens 1s.2z[B~ parID = FindFullName( "Geometry.Arizona Eye" ) 9)'f)60^ eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) ;50&s .gZ count = 0 \_8wU'7 While GetOperationCount(eID)>count m:?"|.] GetOperation eID, count, op kc^,V|Nbq6 If op.Type="ShiftZ" Then 3)W zX DeleteOperation eID,count esnq/ count=count-1 PZusYeV8b End If _#:/ ~Jp count=count+1 (n*:LS=0 Wend /v+)#[]> op.Type = "ShiftZ" W/ Q*NB op.val1 = taq-0.01 !>`Fg>uy op.parent = parID 1Q>nS[ AddOperation eID, op GcdJf/k DaQl ip Print "Set pupil diameter = " & pupilDiam z2uL[deN'" I}
jgz 'Update AZ Eye subassembly Description MY@&^71i4 eID = FindFullName( "Geometry.Arizona Eye" ) }LT&BNZj GetEntity eID, entity Xv-p7$?f entity.Description = "Accommodation = " & A & "D" Y/FPkH4 SetEntity eID, entity
L\PmT c[,h|~K/_? Update 2aM7zP[Z Print "DONE!" ">oySo.B? O1z]d3x
End Sub E7MSoBX9M Tf86CH=)5 如果屈光度是4,光瞳直径是4,则会输出如下数据: W}CM;~*L ;v:( Accommodation = 4 Diopters IA@>'O Pupil Diameter = 4 mm tR|dnC4U Set aqueous humor thickness = 2.81 w*ans}P7 Set anterior lens radius = 10.4 and conic constant = -2.375869 4a-JC" Set posterior lens radius = -4.424557 and conic constant = -3.081019 I x%>aee Set lens thickness = 3.927 pUXoSnIq: Set lens index of refraction = 1.42672 H;1@]|sH# Set pupil diameter = 4 @b,Az{EH DONE! 3#>W\_FY*D !#c'|
*k (文章来源:讯技光电)
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