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简介 [9mL $;M
W b-@\R\T 人眼光学模型可用来设计眼科用设备,光学系统注定了要与人眼一起使用。本文演示了这样一个模型:Arizona眼睛模型,在Jim Schwiegerling教授的书中有详细描述:《Field Guide to Visual and Ophthalmic Optics》。AZ眼睛模型达到了基于平均临床数据所决定的轴上和轴外像差等级。FRED文件包含了此眼睛模型及几个用来分析它的光源,并包括一个基于想要的屈光度来调整模型的内嵌脚本。 cPn+<M# |%D%0TR&Q 模型 PoShQR< p"`% 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 >0Ev#cX4 f+Dn9t Table 1. AZ眼睛模型的定义 IeF keE 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. *~z#.63oZ gJ3c; 光源 2GWDEgI1o wH"kk4^ 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 {SG>'KXZ VjbG(nB?_ +&ZX$ 图1. 光源和提示信息使用 C:\(~D*GS 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。 jN/C'\QL )%Y
IGV;& 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。 ~fzuwz R9r+kj_ 图2. 字母F光源的设定方法光 > %*B`oqo :WXf.+IA 图3. 字母F在视网膜上位置点列图 Jm(ixekp 视网膜的散射 u/AT-er; ^uaFg`S 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。 m-1?\bs <%bw/ QLbMPS 图4. 视网膜朗伯散射设定 gs`^~iD]m 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。 V`fL%du,3 }uX|5&=~f EychR/s 图5. 视网膜重点采样规格设定 A%ywj'|z 脚本 zTCP)x s`>H 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: 3;$bS<> !Qu PG/=X 图6. 用户对话框的创建与编辑 RTd^ImV 图7. 用户对话框编辑器 ~v:#zU 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 8?jxDW
a 余下的脚本计算与屈光度有关的所有参数。 p/|(,)'+jx :d'65KMi 分析 x3p9GAd# T$b\Q 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 EI`vVI UR>_)* 图7. 字母F在视网膜上颜色分析 V
4qtaHf 脚本代码 mf*Nr0L;J !p%@Deu Option Explicit 'Remove this to enable non-dimensioned variables to be used. ySruAkw% z
Bf;fi Dim entity As T_ENTITY l]vohLz
3! Dim op As T_OPERATION %yw=[]Vjze Dim mat As T_MODELMATERIAL ;?im(9h"v! Dim A As Double pv$tTWk Dim pupilDiam As Double 1*R_"# Dim eID As Long E\e]K
! Dim parID As Long >_#)3K1y8 Dim count As Integer +rQg7a} Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double u
2lXd' Dim tlens As Double, nlens As Double D=w9cKa Dim curv As Double, conic As Double SL*DK. Dim ok As Long <;KRj85"j $,`VUe{ Sub Main lS{4dvr?w j:?N!*r= '用户输入对话框 cHn;}l!I Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 S1C^+Sla] TextBox 220,21,40,21,.TextBox1 'default: 0 ~x+Ykq0 Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 T#e4":A&x OKButton 40,91,90,21 B/u*<k4 CancelButton 190,91,90,21 7ti< Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 ]S]"`;Wh TextBox 220,49,40,21,.TextBox2 'default: 4 a#R%8) End Dialog XZBj=2~-3 Dim dlg As UserDialog 9L=;KtE1 nh.b/\o ok = Dialog (dlg) ho|8U (+$ol'i If ok=0 Then 'cancel button was pressed qnTi_c Print "Execution cancelled." tBTJmih" End )6C`&Mj End If BGA%"b bQ=s8' 'Assign accommodation and pupil diameter & use defaults if field left empty vu>YH)N_h If dlg.TextBox1 = "" Then v+7*R)/ A = 0 'Default accommodation >~>{;Wq(p+ Else 7n<#y;wo A = CDbl(dlg.TextBox1) xrX?ZJ End If /9TL&_A-T IE@ z@+\( If dlg.TextBox2 = "" Then FB.!`%{ pupilDiam = 4 'Default pupil diameter ${CYDD"mdy Else ){jqfkL pupilDiam = CDbl(dlg.TextBox2) B{N=0 cSi End If kYTOldfY2 WkcH5[ Print " " Flne=ij6g Print "Accommodation = " & A & " Diopters" ->Q`'@'|P Print "Pupil Diameter = " & pupilDiam & " mm" t0I>5#*WU 6HB]T)n ' Calculate new parameters with accommodation a]{uZGn@i taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness VEr 6uvB 0\ZaMu # Rant = 12.0 - 0.4*A 'Radius of anterior lens hQP6@KIe) CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens QQSH + >9(7h&[Y Rpost = -5.224557 + 0.2*A 'Radius of posterior lens PGMv(}%; CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens lJ("6aT? nh?9R& tlens = 3.767 + 0.04*A 'Lens thickness sio)_8tp s&Z35IM8| nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction %
i%ew4 Gmqs`{tc 'Adjust parameters to account for accommodation v hR twi `X3Xz! '************************************************************************* JO}#f+w} 'Aqueous thickness (Position of Lens) ?'TA!MR '************************************************************************* XX*'N+ eID = FindFullName( "Geometry.Arizona Eye.Lens" ) <[/PyNYK GetCustomElement eID, entity HDa~7wE RCoeJ| parID = FindFullName( "Geometry.Arizona Eye" ) :QxL 9&" 0,;E.Py?. ' Delete any shift(s) in z 0zlM.rjEZ count = 0 u'#`yTB6b While GetOperationCount(eID)>count **Qe`}E: GetOperation eID, count, op xI-=tib If op.Type="ShiftZ" Then DN4fP-m- DeleteOperation eID,count =W;t@"6>2 count=count-1
7=$+k]U8 End If v; je<DT count=count+1 L`<T'3G Wend *(@L+D0N }R7sj 'Set new shift in +3NlkN# op.Type = "ShiftZ" aW52.X z%8 op.val1 = taq 1}i&HIr!b op.parent = parID ~uP
r]# AddOperation eID, op Y\+(rC27 Print "Set aqueous humor thickness = " & taq-0.55 -d$8WSI8 Ib_n'$5#z '************************************************************************* ?|%\<h@; 'Radius and conic constant of anterior lens <`oCz Q1 '************************************************************************* D[?k ,* eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) 'd|Q4RE+W GetConic eID, entity, curv, conic }:,o Y< j|^-1X SetConic eID, entity, 1/Rant, CCant v9j4|w Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant "N?%mCPI +YGw4{\EL '************************************************************************* VEFwqB1l 'Radius and conic constant of posterior lens aF;]7i@ '************************************************************************* `<l/GwtAJ eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) icKg7-$N GetConic eID, entity, curv, conic T% /xti5$! aB$y+`f)@ SetConic eID, entity, 1/Rpost, CCpost &cv@Kihq( Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost iBGSBSeL& >z fq*_ '************************************************************************* u7<qaOzs? 'Lens thickness (Position of posterior lens surface) Q:-%3)g<< '************************************************************************* xA[Wb' kT Z?+hx parID = FindFullName( "Geometry.Arizona Eye.Lens" ) yV 9]_k yr/]xc$ ' Delete any z-shift(s) 7yqSt)/U count = 0 AF9[2AH=Y While GetOperationCount(eID)>count 4~MJ4: GetOperation eID, count, op \-$bo=s. If op.Type="ShiftZ" Then imJ[:E DeleteOperation eID,count 7dM6;`V^ count=count-1 /ZIJ<#o[ End If <WQ<<s@#pb count=count+1 #f|NM7 Wend IF36K^K A}t&- 'Set new z-shift bo~{<UT op.Type = "ShiftZ" CN8@c!mB
op.val1 = tlens *MnG-\{j op.parent = parID ]RJb; AddOperation eID, op (T%F!2i([U Print "Set lens thickness = " & tlens +qh<
Fj> Kc2OLz# '************************************************************************* niBjq#bJi 'Lens index of refraction =,>TpE '************************************************************************* zDvP7hl eID = FindMaterial( "Lens" ) 7 BnenHD GetModelMaterial eID, mat [6&CloY3 xnRp/I mat.Nd = nlens sw=JUfAhy SetModelMaterial eID, mat
Z}'F"}QI Print "Set lens index of refraction = " & nlens R$T[%AGZ. xZ S\#{ '************************************************************************* @LWxz 'Pupil diameter [U3D`V$xD '************************************************************************* c`$`0} eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) XRz%KVysp 5E\<r/FeJ 'Adjust pupil diameter (trimming volume inner hole) wEHAkc)Q )D"G3g. SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" *Sz{DE1U \AtwO ' Adjust pupil location to just in front of the lens xT=kxyu parID = FindFullName( "Geometry.Arizona Eye" ) )v!lPpe8 eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) mSk :7ozZ count = 0 IioE<wS) While GetOperationCount(eID)>count 'wB Huq GetOperation eID, count, op <igx[2X If op.Type="ShiftZ" Then a7v[l04 DeleteOperation eID,count AHMV@o`V count=count-1 -'H+lrmv End If ?D~SHcBaN count=count+1 ,@'){V Wend -t~B@% op.Type = "ShiftZ" i9EMi_% op.val1 = taq-0.01 `6BS-AVO7 op.parent = parID "$E!_ AddOperation eID, op ev: !,}]w @DQ"vFj6< Print "Set pupil diameter = " & pupilDiam l5y#i7q -o!,,XYj . 'Update AZ Eye subassembly Description n;k97>m${x eID = FindFullName( "Geometry.Arizona Eye" ) "<. GetEntity eID, entity I>8@=V~ entity.Description = "Accommodation = " & A & "D" \'LCC- SetEntity eID, entity t0V_ c'm
|b-Zy~6 Update NKUI! [ Print "DONE!" 5KH'|z mZ5K hPvf8 End Sub +/>YH-P= MMA@J 如果屈光度是4,光瞳直径是4,则会输出如下数据: JbC\l xu?QK6D: Accommodation = 4 Diopters -SY:qG3? Pupil Diameter = 4 mm 6P*)rye Set aqueous humor thickness = 2.81 B]KLn?zt5 Set anterior lens radius = 10.4 and conic constant = -2.375869 ^Lfn3.M Set posterior lens radius = -4.424557 and conic constant = -3.081019 9hs{uxwuEE Set lens thickness = 3.927 W];6u
Set lens index of refraction = 1.42672 *ckrn>E{h Set pupil diameter = 4 FTYLMQ
i DONE! wpdEI(
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