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简介 >\5I B5'j [V _\SQV0 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。 /eNDv(g)M R1NwtnS 模型 T@\%h8@~] gWpG-RL0 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。 UZb!tO2 d+158qQOh] Table 1. AZ眼睛模型的定义 %hH@< <b(s 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. hT?|:!ED.F .[8g6:> 光源 P*.0kR1n I2^Eo5' 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。 [3fmhc 9 7Mi{Zz Tg\wBhJr| 图1. 光源和提示信息使用 wzz>N@| 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。 bbxo!K
m" :zLeS- 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。 !;h`J:dN /aX5G 图2. 字母F光源的设定方法光 HA0Rv#p ?)L X4GY 图3. 字母F在视网膜上位置点列图 e<1)KqG 视网膜的散射 %Tm8sQ)1 xI(Y}> 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。 ,R2;oF_
:to1%6 N@G~+GCxL 图4. 视网膜朗伯散射设定 pCt0[R;? 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。 q$BS@
*nc9u" D~LU3#n 图5. 视网膜重点采样规格设定 Xw |6
#^ 脚本 J'#R9NO< mqk tM6 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: jpRC6b? PWbi`qF)r 图6. 用户对话框的创建与编辑 c3q @]|aI 图7. 用户对话框编辑器 [[gfR'79{ 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。 5BsfbLKC 余下的脚本计算与屈光度有关的所有参数。 85 <%L:EC !(>yB;u 分析 \>nY%* T
}^2IJ] 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 S1G3xY$0 6*tbil_G+ 图7. 字母F在视网膜上颜色分析 ]#t5e>o| 脚本代码 ST7Xgma- I^itlQ Option Explicit 'Remove this to enable non-dimensioned variables to be used. Sxg&73;ZV %y_AT2A Dim entity As T_ENTITY + 3%i7 Dim op As T_OPERATION $ Ov#^wfA Dim mat As T_MODELMATERIAL Z&Ao;=Gp1 Dim A As Double 2E_*'RT Dim pupilDiam As Double $3D#U^7i Dim eID As Long }Asp=<kCc Dim parID As Long /{HK0fd Dim count As Integer V^ 5Z9! Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double Aa`'g0wmc Dim tlens As Double, nlens As Double &RbT& Dim curv As Double, conic As Double 2z615?2_U Dim ok As Long 8@J5tFJ&% to"[r Sub Main }&:F,q* k%fy '用户输入对话框 ZK8I f?SD Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 h(Ccm44 TextBox 220,21,40,21,.TextBox1 'default: 0 |{JJ2c\W Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 \jGvom. OKButton 40,91,90,21 bk{.9nz 2 CancelButton 190,91,90,21 8bP4 Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 Y~+`F5xX< TextBox 220,49,40,21,.TextBox2 'default: 4 M+Jcgb] End Dialog bJ6@
B< Dim dlg As UserDialog D>).^>|q tpP2dg9dF ok = Dialog (dlg) c0M>CaKD _rjLCvv- If ok=0 Then 'cancel button was pressed 'p:L"L}Q? Print "Execution cancelled." Z4aK End 1l`$. k End If GYM6 ` j~:N8(= 'Assign accommodation and pupil diameter & use defaults if field left empty 5*31nMP\ If dlg.TextBox1 = "" Then s#2<^6 A = 0 'Default accommodation kx_PMpc Else eQ}o;vJN A = CDbl(dlg.TextBox1) | 'SqG}h End If JVzU'd;1! 8H>: C(h If dlg.TextBox2 = "" Then (Ut)APM pupilDiam = 4 'Default pupil diameter v Kzq7E Else u |hT1l pupilDiam = CDbl(dlg.TextBox2) xp395ub6 End If 2qb,bp1$ y]
Io`w(> Print " " %n3lm(-0U Print "Accommodation = " & A & " Diopters" Z;^UY\&X Print "Pupil Diameter = " & pupilDiam & " mm" K%) K$/A p&nIUx" ' Calculate new parameters with accommodation Yy4?|wVl taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness 'g8~ uP A;t6duBDf/ Rant = 12.0 - 0.4*A 'Radius of anterior lens [jD.l;jF CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens `&.]>H)N* Zd/ACZ[ Rpost = -5.224557 + 0.2*A 'Radius of posterior lens 3H0~?z_ CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens je^!W?U4< ,8KD-" l^g tlens = 3.767 + 0.04*A 'Lens thickness : -@o3Syg V@0Z\& nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction x"@Y[ %)7HBj(*J 'Adjust parameters to account for accommodation ;:nO5VFOg N 798(" '************************************************************************* `TM[7' 'Aqueous thickness (Position of Lens) /( /)nYAjk '************************************************************************* ]j.??'+rg eID = FindFullName( "Geometry.Arizona Eye.Lens" ) niZ/yW{w GetCustomElement eID, entity 4s?x 8oAy aZ% parID = FindFullName( "Geometry.Arizona Eye" ) C.r9)#G Rc2| o.'y ' Delete any shift(s) in z \:cr2 w'c count = 0 RO-ABFEi( While GetOperationCount(eID)>count 0jY#,t?> GetOperation eID, count, op 26fbBt8nP If op.Type="ShiftZ" Then #`tn:cP DeleteOperation eID,count KGCm@oy count=count-1 FFH9$>A End If K)|#FRPM u count=count+1 ,t4g^67R{ Wend c;w%R8z s6k,'`. 'Set new shift in eMPkk=V op.Type = "ShiftZ" CwKo'PAJ op.val1 = taq 4}:a"1P" op.parent = parID eGrC0[SH AddOperation eID, op (>THN*i Print "Set aqueous humor thickness = " & taq-0.55 ;~Eb Q s2t'jIB '************************************************************************* ^c1%$@H 'Radius and conic constant of anterior lens ;<Dou7= '************************************************************************* H\tz"<*`` eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) }(AgXvRq GetConic eID, entity, curv, conic +kF$I7LN bP%0T++vo SetConic eID, entity, 1/Rant, CCant #4. S2m4 Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant zmf`}j[ wv>uT{g# '************************************************************************* krkRP%jy 'Radius and conic constant of posterior lens 3%Jg' Tr+ '************************************************************************* }-H<wQ&x eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) 41y}n{4n8 GetConic eID, entity, curv, conic HFD5*Z~M A~ugx~S0 SetConic eID, entity, 1/Rpost, CCpost C'C'@?] Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost |
fAt[e _E k$nQY '************************************************************************* 8fzmCRFH 'Lens thickness (Position of posterior lens surface) j[!'l,I '************************************************************************* ,5" vzGLJ rf"%D<bb parID = FindFullName( "Geometry.Arizona Eye.Lens" ) hETTD% Gd$odKtI ' Delete any z-shift(s) eiB5 8b3 count = 0 3R%'<MV| While GetOperationCount(eID)>count 24_F`" :-= GetOperation eID, count, op wrq0fHwM If op.Type="ShiftZ" Then 7Wg0-{yK4 DeleteOperation eID,count "WOY`su> count=count-1 %of#VSk End If LGq}wxq count=count+1 BBy"qkTe Wend pX
]K- s$e0;C!D 'Set new z-shift U@v=q9'W op.Type = "ShiftZ" `INcZr" op.val1 = tlens 1P&XG@ op.parent = parID cF_hU" AddOperation eID, op :70cOt~Z Print "Set lens thickness = " & tlens w~>V2u_- O#Ab1FQn '************************************************************************* c;l
d 'Lens index of refraction xe[Cuy$P '************************************************************************* _@0>yMZ^ eID = FindMaterial( "Lens" ) T!eb=oy GetModelMaterial eID, mat s
}q6@I b@@`2O3" mat.Nd = nlens 5DKR1z: SetModelMaterial eID, mat NZ`W`#{ Print "Set lens index of refraction = " & nlens UX=JWb_uGm \3w=')({ '************************************************************************* hRZ9[F[[ 'Pupil diameter ?1 $.^ '************************************************************************* g]O"l?xx1D eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) Kl~jcq&z s<x2*yVUA 'Adjust pupil diameter (trimming volume inner hole) FCU~*c8Cs Px:PoOw\ SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" \:C@L&3[ ZiodJ"r ' Adjust pupil location to just in front of the lens :WejY`}H% parID = FindFullName( "Geometry.Arizona Eye" ) b8v?@s~ eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) 4;8
Z?. count = 0 p%5RE%u While GetOperationCount(eID)>count 1{R1:` GetOperation eID, count, op g&;:[&%T] If op.Type="ShiftZ" Then Y(
n# = DeleteOperation eID,count XEMi~L+ count=count-1 NK'awv),pM End If nE)?P*$3 Z count=count+1 lCg'K(|" Wend ?cf9q@eAH op.Type = "ShiftZ" !Y/$I?13Z op.val1 = taq-0.01 W>036 op.parent = parID C0;c'4( AddOperation eID, op X2!vC!4P?L };!S2+ Print "Set pupil diameter = " & pupilDiam n\&[^Q#b| .0;Z:x_3 'Update AZ Eye subassembly Description 7a 4G: eID = FindFullName( "Geometry.Arizona Eye" ) "<x%kD GetEntity eID, entity 9.f/d4 entity.Description = "Accommodation = " & A & "D" W#E-vi+l SetEntity eID, entity %g}ri8 +s.r!?49+ Update uqPagt< Print "DONE!" dX-Xzg }7E2,A9_" End Sub DE:FWD<} PX}YDC zP$ 如果屈光度是4,光瞳直径是4,则会输出如下数据: 0dA'f0Uy\X l[mXbQd Accommodation = 4 Diopters rI)op1K Pupil Diameter = 4 mm gq4le=,v Set aqueous humor thickness = 2.81 smW
7zGE Set anterior lens radius = 10.4 and conic constant = -2.375869 Fu:VRul=5$ Set posterior lens radius = -4.424557 and conic constant = -3.081019 Va>~7 Set lens thickness = 3.927 ZAVj q;bq Set lens index of refraction = 1.42672 H->J.5~,K Set pupil diameter = 4 wB}s>o\ DONE! ^6`"f ZW
n j- NL%5'8F>, QQ:2987619807 E'zLgU)r`
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