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简介 zMzf=~ X /,1] 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。 GdeR#%z #'Y6UGJ\n 模型 Po!JgcJ#\ MQH8Q$5D 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 |ezO@ +Y9D!=_lj Table 1. AZ眼睛模型的定义 bA^:p3 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. IA 9v1:> f9XO9N,hE: 光源 h9w^7MbO )7"DR+;: 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 &R FM
d= us,,W(q ~K#_'Ldrd 图1. 光源和提示信息使用 p F*~)e 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 \v
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v, 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 ID).*@(I" X.AWs=:- 图2. 字母F光源的设定方法光 VBsFT2XiL <_{4-Q>S3# 图3. 字母F在视网膜上位置点列图 vQTQS[R=z 视网膜的散射 M|E2&ht awSS..g}L 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 \%?8jQ'tX y7IbE !_z<W~t" 图4. 视网膜朗伯散射设定 ])ALAAIc- 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 -k[tFBlw J%-lw{FC Gp3nR<+ 图5. 视网膜重点采样规格设定 k5%0wHpk = 脚本 'UXj\vJ3E Q~Sv2 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: Jn@Mbl N"
Jtg@w 图6. 用户对话框的创建与编辑 "G-0i KW; 图7. 用户对话框编辑器 s8yTK2v2\ 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 Wh'_slDH+ 余下的脚本计算与屈光度有关的所有参数。 q~'
K9 #9hXZr/8 分析 gQpD]p%k <&Y}j&( 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 e<O;pM: oB{}-[G 图7. 字母F在视网膜上颜色分析 X?v^>mA 脚本代码 ~ut& U ZG\ I1 Option Explicit 'Remove this to enable non-dimensioned variables to be used. wp]7Lx?F k"^t?\Q%vI Dim entity As T_ENTITY \`Ph=lJO Dim op As T_OPERATION j#nO6\&o Dim mat As T_MODELMATERIAL hA1gkEM2o Dim A As Double x+*L5$;h Dim pupilDiam As Double "U5Ln2X{J Dim eID As Long 0q>NE<L Dim parID As Long K@j^gF/0B Dim count As Integer z^a!C#IX Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double fBWJ%W Dim tlens As Double, nlens As Double RqN_vk\ Dim curv As Double, conic As Double |!xfIR>=F Dim ok As Long H6PXx TH(Lzrbg Sub Main e2-70UvW^ H ?=pWB '用户输入对话框 Gkodk[VuLs Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 k}f<'g<H TextBox 220,21,40,21,.TextBox1 'default: 0 z7t'6Fy9' Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 [nN\{"~O OKButton 40,91,90,21 5;K-,"UQ CancelButton 190,91,90,21 BudWbZ5>Ep Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 Ot2zhR ) TextBox 220,49,40,21,.TextBox2 'default: 4 ><#2O End Dialog CNpe8M=/3 Dim dlg As UserDialog uku}Mr"p =_?pOq ok = Dialog (dlg)
ENYF0wW %g]$Vfpy If ok=0 Then 'cancel button was pressed "3Xv%U9@ Print "Execution cancelled." :uIi
? End 7$1fy0f[l End If bU:}ZO^S 94p:| 5@ 'Assign accommodation and pupil diameter & use defaults if field left empty *b6I%MZn If dlg.TextBox1 = "" Then dxkRk#mf: A = 0 'Default accommodation q2S!m6 ! Else 6HEqm>Yau A = CDbl(dlg.TextBox1) u6iU[5 End If ?x5wS$^q< {;Y 89&*R If dlg.TextBox2 = "" Then zldfRo\wl pupilDiam = 4 'Default pupil diameter l}Q"Nb) Else QX/X {h6 pupilDiam = CDbl(dlg.TextBox2) [w+h-q End If cD'HQ3+ I+Ncmg )> Print " " ?u_gXz;A Print "Accommodation = " & A & " Diopters" !^)wPmk Print "Pupil Diameter = " & pupilDiam & " mm" tp6csS,
X6LhM ' Calculate new parameters with accommodation tT@w%Sz57N taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness [5?4c'Ev fr}1_0DDz Rant = 12.0 - 0.4*A 'Radius of anterior lens T}L^CU0 CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens E-yT `2xH7a- Rpost = -5.224557 + 0.2*A 'Radius of posterior lens E[|s>Xv~ CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens YGq=8p7.R b!'l\~`{i tlens = 3.767 + 0.04*A 'Lens thickness 99l>CYXd P+)qE6\ nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction D00G1:Ft(T ]^J+-c 'Adjust parameters to account for accommodation GI2eJK ia%z+:G '************************************************************************* c;:">NR 'Aqueous thickness (Position of Lens) (O)\#%,@R '************************************************************************* gk!E$NyE eID = FindFullName( "Geometry.Arizona Eye.Lens" ) v229H< GetCustomElement eID, entity B ~fSMB6h B :.@Qi^ parID = FindFullName( "Geometry.Arizona Eye" ) &8[ZN$Xe" G(U 9rJ9 ' Delete any shift(s) in z qP~WEcH`[ count = 0 1R0ffP] While GetOperationCount(eID)>count w)+wj[6
E GetOperation eID, count, op yfmp$GO: If op.Type="ShiftZ" Then 403[oOj DeleteOperation eID,count uh]"(h(> count=count-1
f~w>v End If
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^W count=count+1 3lo;^KX ! Wend yJ!OsD )v[XmJ>H~o 'Set new shift in :P3{Nxa op.Type = "ShiftZ" 2O
eshkE op.val1 = taq WtEI] WO op.parent = parID &&[zT/]P AddOperation eID, op #SKfE Print "Set aqueous humor thickness = " & taq-0.55 !Y (apVQ O0^?f/&k '************************************************************************* ^_v[QV 'Radius and conic constant of anterior lens q[7CPE0n '************************************************************************* yn SBVb!) eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) yL0f1nS GetConic eID, entity, curv, conic 5L8&/EN9- _ Yfmxn8V SetConic eID, entity, 1/Rant, CCant k`Nyi)AGe Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant !; IJ ,V,f2W 4 '************************************************************************* 3KSpB;HX 'Radius and conic constant of posterior lens R (G2qi '************************************************************************* |,b2b2v? eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) z~,mRgc$B GetConic eID, entity, curv, conic ZWO)tVw9G lsk_P&M SetConic eID, entity, 1/Rpost, CCpost Yu'a<5f Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost 4'' ,6KJ@ e}c&LDgU '************************************************************************* dL-i)F
'Lens thickness (Position of posterior lens surface) NUCiY\td '************************************************************************* ._?V%/ zh\$t]d<I parID = FindFullName( "Geometry.Arizona Eye.Lens" ) F|>05>8 YTK^ijmU6x ' Delete any z-shift(s) (89Ji'dc count = 0 ;f:gX`"\ While GetOperationCount(eID)>count `H\)e%] GetOperation eID, count, op &iNwvA%9D If op.Type="ShiftZ" Then > !L&>OOx DeleteOperation eID,count CK0l9#g count=count-1 Us,)]W.S End If `\bT'~P count=count+1 \q "N/$5{f Wend RT^v:paNT2 `5q
;ssu 'Set new z-shift {T=52h=e op.Type = "ShiftZ" OR:[J5M) op.val1 = tlens v?%LQKO op.parent = parID 3GF2eS$$P AddOperation eID, op /`[!_4i Print "Set lens thickness = " & tlens _%~$'Hy D8%AV;-Y '************************************************************************* 03k?:D+5 'Lens index of refraction %d1draL '************************************************************************* MPIlSMe eID = FindMaterial( "Lens" ) i^)WPP>4Aw GetModelMaterial eID, mat K B!5u 9 lwT9~Hyp mat.Nd = nlens =>|C~@C? SetModelMaterial eID, mat ]5'
d&f Print "Set lens index of refraction = " & nlens x&Cp> +i N2ied^* 0 '************************************************************************* d,0 }VaY=D 'Pupil diameter <P_ea/5:| '************************************************************************* x({H{'9? eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) WA6!+Gy #]E(N~ 'Adjust pupil diameter (trimming volume inner hole) ";x+1R.d v.=/Y(J SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" JBC$Ku -)jax ' Adjust pupil location to just in front of the lens ffe1lw% parID = FindFullName( "Geometry.Arizona Eye" ) l>6@:nq|R eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) #Yuvbb[ count = 0 D)Q)NI While GetOperationCount(eID)>count H={&3poBz GetOperation eID, count, op "5Uh<X If op.Type="ShiftZ" Then ^e Gue DeleteOperation eID,count ;@3FF count=count-1 En6H%^d2 End If t*G/] count=count+1 80pid[F Wend t<j^q`;@v op.Type = "ShiftZ" ;sPoUn
s' op.val1 = taq-0.01 -|S]oJy op.parent = parID LD>\#q8a* AddOperation eID, op ;eL9{eF *\uM.m0$ Print "Set pupil diameter = " & pupilDiam ememce,Np jS.g]k 'Update AZ Eye subassembly Description b:J(b? eID = FindFullName( "Geometry.Arizona Eye" ) "TcW4U9 GetEntity eID, entity ORN6vX(1 entity.Description = "Accommodation = " & A & "D" $ ((6=39s SetEntity eID, entity Oakb' O#a6+W"U Update D${={x Print "DONE!" o|BP$P8V 3+Qxg+< End Sub k S#
CEU7 O81X;JdP3 如果屈光度是4,光瞳直径是4,则会输出如下数据: laKuOx} E
Y<8B3y Accommodation = 4 Diopters ~EzaC?fQ Pupil Diameter = 4 mm FR[ B v Set aqueous humor thickness = 2.81 h}`!(K^;3 Set anterior lens radius = 10.4 and conic constant = -2.375869 |RkcDrB~ Set posterior lens radius = -4.424557 and conic constant = -3.081019 S~Z|PLtF Set lens thickness = 3.927 4mjgt<` Set lens index of refraction = 1.42672 /u%h8!"R Set pupil diameter = 4 }[+!$# DONE! I` K$E/ns Yap?^&GV *l+OlQI0+ QQ:2987619807 B+d<F[|
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