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简介 giw &&l=_ F_{Yo?_ 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。 R"t,xM H3=qe I 模型 A[{yCn`tM D'PI1
0t 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。 j-}O0~Jz D.u{~ Table 1. AZ眼睛模型的定义 0-Ku7<a 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. _|I#{jK Flm%T-Dl 光源 }V`"s^ y/7\?qfTk 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。 ~P**O~ :J&oX
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n>S#SZ 图1. 光源和提示信息使用 \V~eVf;~ 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。 AH7}/Rc pO3SUOP 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。 5e^ChK0Q 2eY_%Y0 图2. 字母F光源的设定方法光 flbd0NB 0=1T.4+= 图3. 字母F在视网膜上位置点列图 B%6)}Nl[ 视网膜的散射 iz PDd{[ d^
8ZeC# 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。 :tg)p+KB c-6?2\]j@ X5$ Iyis 图4. 视网膜朗伯散射设定 ;dgp+ 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。 z46~@y%k QlU8uI[dk :':s@gqr 图5. 视网膜重点采样规格设定 e6$W Qd`O 脚本 fr6fj yWo; a 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: cR<fJ[* c`w}|d]mC 图6. 用户对话框的创建与编辑 Iit;F 图7. 用户对话框编辑器 ENs&RZ; 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 @lr ztM 余下的脚本计算与屈光度有关的所有参数。 c<Tf
2]vZE V {ddr:]4 分析 +a{1)nCXe /@TF5]Ri 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 BUXpCxQ 'zuIBOH`j3 图7. 字母F在视网膜上颜色分析 s9DYi~/, 脚本代码 j'"J%e] fuf"Ae Option Explicit 'Remove this to enable non-dimensioned variables to be used. E{P|)`,V 6mxfLlZ Dim entity As T_ENTITY Z,Dl` w Dim op As T_OPERATION j{+.tIzpq[ Dim mat As T_MODELMATERIAL `7V]y- Dim A As Double .Vvx,>>D Dim pupilDiam As Double #?- wm Dim eID As Long [?N~s:} Dim parID As Long ^o&. fQ* Dim count As Integer ;+hH Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double M gi,$H Dim tlens As Double, nlens As Double BuXqd[;K% Dim curv As Double, conic As Double LBDjIpR6 Dim ok As Long T!)(Dv8@F MeZf*'
J Sub Main VQOezQs\ '3^'B03 '用户输入对话框 Ry6@VQ"NLb Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 T'Dv.h TextBox 220,21,40,21,.TextBox1 'default: 0 v O_*yh1 Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 ^WWQI+pk OKButton 40,91,90,21 uiR8,H9*M CancelButton 190,91,90,21 w@w(-F!%l Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 'c$+sp ? TextBox 220,49,40,21,.TextBox2 'default: 4 Fd9[pU End Dialog z 1X` o Dim dlg As UserDialog R%[ c;i s&3Vg7B ok = Dialog (dlg) {V
CWn95Z V+9 MoT?8 If ok=0 Then 'cancel button was pressed -r]W Print "Execution cancelled." 3eQ&F~S End @_}P-h End If G2:
agqL/ NyNXP_8 'Assign accommodation and pupil diameter & use defaults if field left empty p9{mS7R9T If dlg.TextBox1 = "" Then C,|,-CY A = 0 'Default accommodation =fFP5e [' Else d5:c^` A = CDbl(dlg.TextBox1) FXkM#}RgNm End If ,.FxIl] xMG~N`r If dlg.TextBox2 = "" Then FJ)$f?=Qd pupilDiam = 4 'Default pupil diameter smo~7; Else Yr[\|$H5 pupilDiam = CDbl(dlg.TextBox2) 4~Q/"hMSkO End If L)
T (< {&1/V Print " " ~oY^;/ j Print "Accommodation = " & A & " Diopters" d>qY{Fdz Print "Pupil Diameter = " & pupilDiam & " mm" *u;Iw{.{ .U]-j\ ' Calculate new parameters with accommodation 1=Z0w +v{ taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness ji0@P'^; v mk2{f,g Rant = 12.0 - 0.4*A 'Radius of anterior lens nZYBE030 CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens TAW/zpps$ >tW#/\x{ Rpost = -5.224557 + 0.2*A 'Radius of posterior lens &gx%b*;`L0 CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens {9q4)R}G Lt>IX") tlens = 3.767 + 0.04*A 'Lens thickness @b2aNS<T 9p(.A$ nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction 7J<5f) vUM4S26"NT 'Adjust parameters to account for accommodation XlR@pr6tw c\AfaK^KF '************************************************************************* cSV aI 'Aqueous thickness (Position of Lens) Lw>N rY(Y '*************************************************************************
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y eID = FindFullName( "Geometry.Arizona Eye.Lens" ) 3)ywX&4"L GetCustomElement eID, entity $-sHWYZ qY!Zt_Be6 parID = FindFullName( "Geometry.Arizona Eye" ) =B @2#W# )\$|X}uny& ' Delete any shift(s) in z #AQV(;r7@ count = 0 v`
1lxX'* While GetOperationCount(eID)>count oNF6<A(@$ GetOperation eID, count, op Ig>(m49d If op.Type="ShiftZ" Then brUF6rQ DeleteOperation eID,count O:Tj"@h count=count-1 TOQP'/ End If TuaBm1S{f count=count+1 i=2N;sAl Wend FU4L6n nAdf=D'P 'Set new shift in b d!Y\OD op.Type = "ShiftZ" d/~9&wLSb op.val1 = taq R (n2A$ op.parent = parID hp|YE'uYT AddOperation eID, op `VguQl_,gA Print "Set aqueous humor thickness = " & taq-0.55 '6%2.[o ?4T-@~~*`= '************************************************************************* ' S/gmn 'Radius and conic constant of anterior lens :^h$AWR^f '************************************************************************* \qJXF|z<K eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) G]&qx`TBK GetConic eID, entity, curv, conic nAlQ7' +v:SM9 SetConic eID, entity, 1/Rant, CCant -aCKRN85 Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant FfT`;j (TT}6j '************************************************************************* Ml-6OvQ7g 'Radius and conic constant of posterior lens Uw<nxD/+ '************************************************************************* [ub e6 eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) sK?twg;D*| GetConic eID, entity, curv, conic |M;7>'YNC* )zDCu` SetConic eID, entity, 1/Rpost, CCpost j^RmrOg, Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost <lJ345Q PLBrP '************************************************************************* a/xn'"eli 'Lens thickness (Position of posterior lens surface) MkXmA`cP '************************************************************************* E|shs=I SNk=b6`9 parID = FindFullName( "Geometry.Arizona Eye.Lens" ) Z6MO^_m2 J\=*#*rJ1 ' Delete any z-shift(s) K_}K@' count = 0 ]u/sphPe While GetOperationCount(eID)>count )MT}+ai GetOperation eID, count, op jq0O22
-R If op.Type="ShiftZ" Then XC#oB~K' DeleteOperation eID,count LCV(,lu count=count-1 $U-0)4yf End If s_p!43\J count=count+1 S~G]~gt Wend t\O16O7S &q*Aj17 'Set new z-shift QIFgQ0{ op.Type = "ShiftZ" -jmY)(\ op.val1 = tlens +R75v ) op.parent = parID i SQu#p@ AddOperation eID, op
|-~Y#] Print "Set lens thickness = " & tlens * kh tJ]= v4 E}D '************************************************************************* @oGcuE 'Lens index of refraction goWuw}? '************************************************************************* vtJJ#8a]
eID = FindMaterial( "Lens" ) "_?nN"A7 GetModelMaterial eID, mat AFt s( ,|/f`Pl mat.Nd = nlens Zx>=tx} SetModelMaterial eID, mat \a3+rNdj Print "Set lens index of refraction = " & nlens Q\0'lQJdy ?:9"X$XR '************************************************************************* V>3X\)qu 'Pupil diameter NvX[zqNP_R '************************************************************************* 4s
oJ.j8 eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) G=bCNn< :.`2^ 'Adjust pupil diameter (trimming volume inner hole) u: 'dc#F3 SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" %J-GKpo/S 1G`Pmh@ ' Adjust pupil location to just in front of the lens ~)M~EX&pK parID = FindFullName( "Geometry.Arizona Eye" ) O^rD HFj, eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) u)Whr@m count = 0 WTiD[u While GetOperationCount(eID)>count `kSZX:=}; GetOperation eID, count, op 9;If&uM If op.Type="ShiftZ" Then l;E(I_
i) DeleteOperation eID,count M )(DZ} count=count-1 Rf% a'b End If 0b 54fD= count=count+1 b\,+f n Wend )Q JUUn# op.Type = "ShiftZ" i"=\d op.val1 = taq-0.01 B`sAk
% op.parent = parID 'Z]w^< AddOperation eID, op PQE=D0 /g.U&oI]D Print "Set pupil diameter = " & pupilDiam asqV~n `EQL" =) 'Update AZ Eye subassembly Description yWf`rF{ eID = FindFullName( "Geometry.Arizona Eye" ) y>ktcuML GetEntity eID, entity bW:!5"_{H entity.Description = "Accommodation = " & A & "D" y<.5xq5_3 SetEntity eID, entity 1B\WA8 -tU'yKhn Update lk =<A"^S Print "DONE!" *yGGBqd lmhLM. 2 End Sub dgP3@`YS @E8+C8' 如果屈光度是4,光瞳直径是4,则会输出如下数据: :Iz8aQ _','9| Accommodation = 4 Diopters A?0Nm{O;3v Pupil Diameter = 4 mm og>uj>H& Set aqueous humor thickness = 2.81 2+WaA, Set anterior lens radius = 10.4 and conic constant = -2.375869 2t1ZIyv3D Set posterior lens radius = -4.424557 and conic constant = -3.081019 -7|H}!DFT Set lens thickness = 3.927 iJ|uvPCE Set lens index of refraction = 1.42672 fTX;.M/%
Set pupil diameter = 4 8l">cVo]T DONE! .c cp
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