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简介 DZ5QC aA {&d )O 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。 ~fR-cXj" 6h3TU,$r 模型 DfV'1s4y cOo@UU P 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 *e}1KcJ `d6,]' Table 1. AZ眼睛模型的定义 uPQrDr5 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. kb2M3%6V =%ZR0cWPoI 光源 [[gfR'79{ f5dctDHP 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。
j^qI~|# SJXP}JB_ F vae lB 图1. 光源和提示信息使用 1J @43>u{ 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 =?s0.(; H!vX# 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 Q3|I.I e p4M7BK:nf 图2. 字母F光源的设定方法光 Z|IFT1K @1^:V-= 图3. 字母F在视网膜上位置点列图 hsZ}FLStJ 视网膜的散射 F`U
YgN gi5Ffvs$ 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。 Z&j?@k,k A!.* eIV| DX#_0-o 图4. 视网膜朗伯散射设定 FErKr) 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。 ztHEXM. >J>|+W w;(B4^? 图5. 视网膜重点采样规格设定 JTI 'W 脚本 'Bb@K[=s pSh$#]mZ` 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: l5fF.A7TT F}dq~QCzw 图6. 用户对话框的创建与编辑 n 9N'}z 图7. 用户对话框编辑器 }}MZgm~U) 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 JwMFu5 @ 余下的脚本计算与屈光度有关的所有参数。 U7@)RJ 5X=ik7m^ 分析 h(H b+7g Y%A
KN 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 SF?s^ oq3{q 图7. 字母F在视网膜上颜色分析 KuohUH+ 脚本代码 **L3T3$) ?7CHHk Option Explicit 'Remove this to enable non-dimensioned variables to be used. yNkE> elzKtVw Dim entity As T_ENTITY Mh;rhQ Dim op As T_OPERATION 1?5UVv_F Dim mat As T_MODELMATERIAL `p{,C`g,R Dim A As Double H]JVv8 Dim pupilDiam As Double 08JVX'X-mr Dim eID As Long AiE\PMF~{P Dim parID As Long HG)c\b Dim count As Integer Pu7cL Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double Yiy|^j Dim tlens As Double, nlens As Double qtLXdSc Dim curv As Double, conic As Double 'I *&P5| Dim ok As Long 'YUx&FcM jtFet{ Sub Main $bv l.c y/}ENUGR '用户输入对话框 u{"@
4 Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 #w:6<$ TextBox 220,21,40,21,.TextBox1 'default: 0 l5bd);Ltq Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 YMEI
J} OKButton 40,91,90,21 #m<<]L(o8W CancelButton 190,91,90,21 6a\YD{D] _ Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 ZFsJeF'" TextBox 220,49,40,21,.TextBox2 'default: 4 "-;l{tL End Dialog %B{NH~ Dim dlg As UserDialog !NfN16 en6oFPG ok = Dialog (dlg) baVSQtda ;r}>1LhN If ok=0 Then 'cancel button was pressed A"8"e* Print "Execution cancelled." OK"B`* End rJ UXA<:2 End If @JL+xfz u/8urxpy 'Assign accommodation and pupil diameter & use defaults if field left empty _hb@O2f If dlg.TextBox1 = "" Then \dIQhF%%2 A = 0 'Default accommodation 1~#2AdG Else zz+p6` A = CDbl(dlg.TextBox1) z
nc' End If w
9mi2= -n `igC If dlg.TextBox2 = "" Then [# '38 pupilDiam = 4 'Default pupil diameter `/z6Q" Else Ydr/ T/1 pupilDiam = CDbl(dlg.TextBox2) p#Vh[UTl^ End If *Tt*\ O pwvcH3l/r Print " " &4ScwK: Print "Accommodation = " & A & " Diopters" W l+[{# Print "Pupil Diameter = " & pupilDiam & " mm" 2"~QI xY= {LLy4m ' Calculate new parameters with accommodation G}&{]w@ taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness e:~r_,K krC4O2Fkj Rant = 12.0 - 0.4*A 'Radius of anterior lens $rh {f< CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens R""P01IZH Hi 1@ Rpost = -5.224557 + 0.2*A 'Radius of posterior lens 6DFF:wrm& CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens M=hH:[6 & U Ux] tlens = 3.767 + 0.04*A 'Lens thickness lo*)%fy v{}i`|~J nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction D{{ME8 z3 lZ3 'Adjust parameters to account for accommodation }!i#1uHUH: 65ctxxWv1 '************************************************************************* SJtQK-%wK> 'Aqueous thickness (Position of Lens) UtF8T6PKdW '************************************************************************* aF9p%HPDw eID = FindFullName( "Geometry.Arizona Eye.Lens" ) hwaU;> F GetCustomElement eID, entity 5;5DEMe -o8H_MR parID = FindFullName( "Geometry.Arizona Eye" ) `!.)"BI/s ]Fc<%wzp ' Delete any shift(s) in z d_j%
,1-# count = 0 #S/]=D While GetOperationCount(eID)>count ) /kf GetOperation eID, count, op W -Yv0n3 If op.Type="ShiftZ" Then (hB&OP5Fne DeleteOperation eID,count mZ^z%+Ca| count=count-1 H+`s#'(i_P End If QQso<.d& count=count+1 P,x'1`k~ Wend )x/Spb <6]TazW?S 'Set new shift in fWx
%?J op.Type = "ShiftZ" 5U&b")3IT! op.val1 = taq 2g elmQnc op.parent = parID 9+G.86Iky AddOperation eID, op ieN}Ajl2 Print "Set aqueous humor thickness = " & taq-0.55
G[}$s7@k 3[g%T2&[ '************************************************************************* {8)Pke 'Radius and conic constant of anterior lens X|}yp| '************************************************************************* "lcNjyU\O eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) Jhclg0q GetConic eID, entity, curv, conic Fb&Xy{kt1 uT'}_2=: SetConic eID, entity, 1/Rant, CCant @ 5!Mr5; Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant ]Q Y:t:- Q ke8BRBn '************************************************************************* *;QIAd 'Radius and conic constant of posterior lens $TON`+lB '************************************************************************* $4^cbk eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) '?Mt*%J@=$ GetConic eID, entity, curv, conic }Ut*Y* CdCo+U5z{ SetConic eID, entity, 1/Rpost, CCpost Yj/aa0Ka4 Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost p5 |.E rBd}u+:* '************************************************************************* |,*N>e 'Lens thickness (Position of posterior lens surface) ]Ek6EuaK '************************************************************************* {9kH<,PJ;! ;GW[Yw>Rz parID = FindFullName( "Geometry.Arizona Eye.Lens" ) 3*< O-Jr J*Dt\[X ' Delete any z-shift(s) D00I!D16 count = 0 RRW/.y While GetOperationCount(eID)>count 4~mYj@lvd GetOperation eID, count, op kvWP[! j?) If op.Type="ShiftZ" Then {MP8B'r-6 DeleteOperation eID,count : +Na8\d count=count-1 .<0|V End If kD&%
7Vz count=count+1 a$0,T_wD Wend F't4Q K4\{G 'Set new z-shift o~Jce$X op.Type = "ShiftZ" mlq+Z#9 op.val1 = tlens
+#%#QL op.parent = parID ObK-<kGcB AddOperation eID, op }V20~ hi Print "Set lens thickness = " & tlens }HO3D.HE^ V}?*kx~T2C '************************************************************************* asDk@Gcu 'Lens index of refraction J7Z`wjX1 '************************************************************************* Q"o* \I eID = FindMaterial( "Lens" ) p:*)rE GetModelMaterial eID, mat Z~&$s IUB#Vdx mat.Nd = nlens mGss9eZa SetModelMaterial eID, mat 1k=w 9 Print "Set lens index of refraction = " & nlens 5<Ly^Na: 9|kc$+(+6 '************************************************************************* :%_*C09 'Pupil diameter vJybhdvP '************************************************************************* vpt*?eR eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) OvL@@SX | $KSdNFtM)A 'Adjust pupil diameter (trimming volume inner hole) R,+Pcn$ws uu5AW=j SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" 5Q)hl.<{o7 (R'GrN> ' Adjust pupil location to just in front of the lens %y7&~me parID = FindFullName( "Geometry.Arizona Eye" ) }XOTK^YA eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) #6fQ$x(F#j count = 0 Lek!5Ug While GetOperationCount(eID)>count |hx"yy'ux GetOperation eID, count, op #$-zg^ If op.Type="ShiftZ" Then w'[^RZW:j DeleteOperation eID,count cSbyVC[r count=count-1 = aO1uC|6C End If \`ya08DP( count=count+1 }MUQO<=* Wend !hMD>B2Z op.Type = "ShiftZ" 5
)A(q\ op.val1 = taq-0.01 Eo\pNz#) op.parent = parID V-1H(wRu AddOperation eID, op Z<P?P` x9DG87P~+ Print "Set pupil diameter = " & pupilDiam bD2):U*Fzo *5e"suS2 'Update AZ Eye subassembly Description o\TXWqt eID = FindFullName( "Geometry.Arizona Eye" ) p`+=)
n GetEntity eID, entity aXv[~ entity.Description = "Accommodation = " & A & "D" ";kwh8wB SetEntity eID, entity teQ<v[W. 5L?_AUL Update 0A,u!"4[ Print "DONE!" 6dH> 0l g!QX#_~Il End Sub [Re.sX}$Y Kia34 ~W 如果屈光度是4,光瞳直径是4,则会输出如下数据: "dkDT7 %qycxEVP Accommodation = 4 Diopters *#n#J[ Pupil Diameter = 4 mm EPd9'9S Set aqueous humor thickness = 2.81 O:%,.??<% Set anterior lens radius = 10.4 and conic constant = -2.375869 =<BPoGs5 Set posterior lens radius = -4.424557 and conic constant = -3.081019 E;o
"^[we Set lens thickness = 3.927 zfsGf'U Set lens index of refraction = 1.42672 w\K(kNd( Set pupil diameter = 4
Qhc>,v) DONE! G5oBe6\C Kggc9^ 7 ! %~P[;. QQ:2987619807 Ye=c;0V(w
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