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简介 J]ri|a MwE^.6xl{ 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。 fG"4\A XjFaP { 模型 KN<KZM bMGU9~CeJ 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。 f\u5=!kjN Yu+;vjbK- Table 1. AZ眼睛模型的定义 c~)H" n 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. M<K}H8? 70F(`; 光源 Iy;bzHXs dTVh{~/ 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。 GhC%32F 4<btWbk5u* rCsH
0:l8P 图1. 光源和提示信息使用 j"Z9}F@ 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。 cnL@j_mb j&l2n2z 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。 }>yQ!3/i H=@S+4_bK 图2. 字母F光源的设定方法光 91oAg[@4G ]L;X Aj? 图3. 字母F在视网膜上位置点列图 #XeEpdE 视网膜的散射 3e?a$~9 83pXj=k< 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 w)<h$<tU eMOnzW|h K!O7q~s[D 图4. 视网膜朗伯散射设定 js[H $ 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。 evE$$# 6R !glGW[r/7 &\5%C\0Z< 图5. 视网膜重点采样规格设定 l~#%j( Yo 脚本 1z-Q~m@@ iX6'3\Q3A 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: qwvch^?>FQ t@+z r3 图6. 用户对话框的创建与编辑 UEH+E&BCC 图7. 用户对话框编辑器 VI;)VJbq 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。 ;T|hNsSt 余下的脚本计算与屈光度有关的所有参数。 ~+anI MB"<^ZX 分析 te
b/ F2C v,&' 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 .ZVo0 ;hkzL_' E) 图7. 字母F在视网膜上颜色分析 I`[s(C>3@ 脚本代码 9 UcSQ"D e)kVS}e? Option Explicit 'Remove this to enable non-dimensioned variables to be used. ^T_2s c n^z=? Dim entity As T_ENTITY dL|*#e Dim op As T_OPERATION }^Ky)** Dim mat As T_MODELMATERIAL :eL
ja* Dim A As Double k(R&` Dim pupilDiam As Double a{4RG(I_ Dim eID As Long jbs)]fqC; Dim parID As Long }x+s5a;!3/ Dim count As Integer (nt= Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double \"=b8x Dim tlens As Double, nlens As Double RrRE$g Dim curv As Double, conic As Double iNEE2BPp Dim ok As Long BLcsIyq t(\P8J Sub Main B$&&'i% Qh!h "] '用户输入对话框 "Rq)%o$Z Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 _?~)B\@~0 TextBox 220,21,40,21,.TextBox1 'default: 0 O`2hTY\ Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 Fa9gr/.F,@ OKButton 40,91,90,21 N-<m/RS CancelButton 190,91,90,21 Z >F5rkJ Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 {aYCrk1 TextBox 220,49,40,21,.TextBox2 'default: 4 YN($rAkL End Dialog 6^vHFJ$ Dim dlg As UserDialog >
@n?W" )+v'@]r ok = Dialog (dlg) TptXH? FX:'38-fk If ok=0 Then 'cancel button was pressed QP1bm]QYA Print "Execution cancelled." V8IEfU End U(u$5 End If r^$WX@ t& Bw8&Amxx: 'Assign accommodation and pupil diameter & use defaults if field left empty @DK;i_i If dlg.TextBox1 = "" Then 7 J+cs^2 A = 0 'Default accommodation 0\Ga&Q0-(O Else riY[p, A = CDbl(dlg.TextBox1) X)k+BJ End If N[8y+2SZ p'`pO"EO If dlg.TextBox2 = "" Then Fc.1)yh. pupilDiam = 4 'Default pupil diameter h;`]rK;g Else z\r|5Z pupilDiam = CDbl(dlg.TextBox2) .qG*$W2f End If `6`oLu\l us3fBY' Print " " = *~Q5F Print "Accommodation = " & A & " Diopters" 7(1UXtT Print "Pupil Diameter = " & pupilDiam & " mm" "
H;iAv LSN%k5G7. ' Calculate new parameters with accommodation HE>sZ; taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness !>gu#Q{\- 84UI)nE:Q Rant = 12.0 - 0.4*A 'Radius of anterior lens eE-c40Bae CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens 4.}J'3 . Lyj0$wbH` Rpost = -5.224557 + 0.2*A 'Radius of posterior lens &0QtHcXpR CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens >Pw
ZHY Gp5=cV'k tlens = 3.767 + 0.04*A 'Lens thickness ]eD5It\ of>"qrdZ nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction >djTJ>dl_u 1E|~;wo\ 'Adjust parameters to account for accommodation #(Ah>y F^)SQ%xx '************************************************************************* d:1TSJff%/ 'Aqueous thickness (Position of Lens) _;yi/)-2 '************************************************************************* dLIZ)16& eID = FindFullName( "Geometry.Arizona Eye.Lens" ) 6pi^ rpo GetCustomElement eID, entity E]26a,^L QwL'5ws{q parID = FindFullName( "Geometry.Arizona Eye" ) K%/:V @Nk]f ' Delete any shift(s) in z [r"`rBw count = 0 h.D*Y3=< While GetOperationCount(eID)>count X9xXL%Q GetOperation eID, count, op L4C_qb k;: If op.Type="ShiftZ" Then "8|a4Y+F DeleteOperation eID,count U*7Yi-"/* count=count-1 %.3]F2_Q End If >:yU bo) count=count+1 0zvA>4cq) Wend "Ooc;xD3< e$+/;MRq 'Set new shift in eX9Hwq4X44 op.Type = "ShiftZ" k yI -nE op.val1 = taq XK7$Xbd op.parent = parID 07:N)y, AddOperation eID, op hB:}0@l6p= Print "Set aqueous humor thickness = " & taq-0.55 ;[>g(W+ 1__Mf.A '************************************************************************* pg;y\} 'Radius and conic constant of anterior lens I||4.YT '************************************************************************* bRzw.(k0`r eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) PWw2;3`-6w GetConic eID, entity, curv, conic @<W^/D1#L {~RS$ | SetConic eID, entity, 1/Rant, CCant WFBVAD Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant *U69rbYI KL}o%wfLy '************************************************************************* %m5&U6 'Radius and conic constant of posterior lens RN0=jo!58 '************************************************************************* h72#AN eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) '3MCb GetConic eID, entity, curv, conic ; OpN&q+ LAT%k2%Wx SetConic eID, entity, 1/Rpost, CCpost 8w|-7$ v Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost %tRQK$]c ZLRAiL '************************************************************************* M((]> *g 'Lens thickness (Position of posterior lens surface) n,E=eNc '************************************************************************* }&{z-/;H O5:2B\B parID = FindFullName( "Geometry.Arizona Eye.Lens" ) n)'5h .h;PMY+ ' Delete any z-shift(s) !y{t}|U/d count = 0 =oPc\VYW While GetOperationCount(eID)>count AM ZWPU GetOperation eID, count, op lwU$*?yv If op.Type="ShiftZ" Then 1 ynjDin< DeleteOperation eID,count zAxscDf' count=count-1 GvCB3z End If ]U8VU count=count+1 M#PutrH Wend -!kfwJg8N( .<Lbv5m 'Set new z-shift 1JIo,7 op.Type = "ShiftZ" > (.V(]{3y op.val1 = tlens !k= ~5)x op.parent = parID aj71oki) AddOperation eID, op Q0\tK=Z/ Print "Set lens thickness = " & tlens fuQb h WjrUns '************************************************************************* \ tK{!v+ 'Lens index of refraction >O:31Uk '************************************************************************* 0xe!tA eID = FindMaterial( "Lens" ) W_##8[r(? GetModelMaterial eID, mat 4KkjBPV w!=Fi mat.Nd = nlens Y<vsMf_U SetModelMaterial eID, mat aq|R? Print "Set lens index of refraction = " & nlens EPZ^I) qXH\e| '************************************************************************* @4'bI) 'Pupil diameter !p4y@U{ '************************************************************************* jBTXs5q eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) u9:+^F+ P a{)@xT 'Adjust pupil diameter (trimming volume inner hole) oBm^RHTZ >Y h7By SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" GomTec9. aa'u5<<W ' Adjust pupil location to just in front of the lens I4%p?'i,C parID = FindFullName( "Geometry.Arizona Eye" ) 0
tZ>yR eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) h#o3qY count = 0 yJheni While GetOperationCount(eID)>count KVvzVQ1 GetOperation eID, count, op _msV3JBr If op.Type="ShiftZ" Then QEavbh^S DeleteOperation eID,count 7.r}98V count=count-1 &!y7PWHJ End If (&w'"-` count=count+1 v[aFSXGj) Wend 9'qU4I op.Type = "ShiftZ" }|k_sx: op.val1 = taq-0.01 0{8^)apII op.parent = parID [BH^SvE AddOperation eID, op y}fF<qih'> j=%^CRum Print "Set pupil diameter = " & pupilDiam #q06K2 c\n&Z'vK 'Update AZ Eye subassembly Description 6(Qr!< eID = FindFullName( "Geometry.Arizona Eye" ) &?],uHB?d GetEntity eID, entity Ag>E%N entity.Description = "Accommodation = " & A & "D" Xm|Uz`A; SetEntity eID, entity nTJ-1A7EP n9;z= Update >d`XR"_e Print "DONE!" =1JS6~CTLN {M7`z,,[ End Sub "funFvY B]`!L/ 如果屈光度是4,光瞳直径是4,则会输出如下数据: /D]V3|@E IZ$7'Mo86 Accommodation = 4 Diopters >t[beRcR6 Pupil Diameter = 4 mm wIrjWU2 Set aqueous humor thickness = 2.81 wH=L+bA>a Set anterior lens radius = 10.4 and conic constant = -2.375869 aKLA_-E Set posterior lens radius = -4.424557 and conic constant = -3.081019 UN~dzA~V Set lens thickness = 3.927 WcCJ;z:S?k Set lens index of refraction = 1.42672 _^)Wrf+ Set pupil diameter = 4 o]&w"3vOP0 DONE! F/"Q0% (m 0Cox+QJt NF}QQwG3 QQ:2987619807 6 9 PTo
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