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简介 L9GLjRp- I!x.bp~V! 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。 >O'\
jp}$l L%'J]HL- 模型 P/%7kD@5; *PJH&g#Ge 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。 OO:S2-]Y>e /{T&l*' Table 1. AZ眼睛模型的定义 7!O"k# 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. g4K+AK +m=b
"g 光源 $)lkiA&; mm/\\my 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 ,Qj G|P ``MO5${ crmQn ^4\ 图1. 光源和提示信息使用 -amo8V;2H 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。 !)s(Lv%] )aS:h}zn 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。 L.n@;* "?"
: 图2. 字母F光源的设定方法光 YteIp'T l6M?[ 图3. 字母F在视网膜上位置点列图 &l(T},-X 视网膜的散射 _O`prX.:B0 qv!(In>u 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。 kmQ:wf: Vt`4u5HG 26V6Y2X 图4. 视网膜朗伯散射设定 corm'AJ/ 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。 E=NjWO Dri6\/0 :;$MUOps 图5. 视网膜重点采样规格设定 d$ouH%^cGu 脚本 UZdnsG7 pb!2G/,.[ 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: \!ZA#7 h ldZA 图6. 用户对话框的创建与编辑 ;,y_^-h; 图7. 用户对话框编辑器 <ZC.9 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。 y?sz&*: 余下的脚本计算与屈光度有关的所有参数。 H_xHoCLI [P2>KQ\ 分析 }8'_M/u\ gS(3 m_ 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 #}A"yo V&zeC/xSq 图7. 字母F在视网膜上颜色分析 [R]V4Hb 脚本代码 h#1:ypA6l Z$z-Hx@% Option Explicit 'Remove this to enable non-dimensioned variables to be used. P~7(x7/7~ Bg|d2,im Dim entity As T_ENTITY fTxd8an{ Dim op As T_OPERATION [Rj4=qq= Dim mat As T_MODELMATERIAL bTs2$81[ Dim A As Double (Mc{nFqS Dim pupilDiam As Double tI^91I Dim eID As Long GRc)3
2, Dim parID As Long V_i&@<J Dim count As Integer \8(Je"S Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double EU(e5vO Dim tlens As Double, nlens As Double PYQ0&;z Dim curv As Double, conic As Double ?e%*q^~Cu Dim ok As Long 2Z; !N37U enk`I$Xx Sub Main kEh9J>|M |5>Tf6$( '用户输入对话框 yLRe'5#m Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 ,Uh^e]pC TextBox 220,21,40,21,.TextBox1 'default: 0 <?41-p-; Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 1 |z4]R,< OKButton 40,91,90,21 4KH'S'eR CancelButton 190,91,90,21 7 [e-3 Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 S @[]znH TextBox 220,49,40,21,.TextBox2 'default: 4 gj|5"'g% End Dialog $YJ 1P Dim dlg As UserDialog ?0)K[Kd'Y gY+d[3N ok = Dialog (dlg) KKwM\ RIkIE=+6 If ok=0 Then 'cancel button was pressed 8kK L= Print "Execution cancelled." NG3?OAQTw End 8{Wl End If {?Slo5X| "Lvk?k
)hx 'Assign accommodation and pupil diameter & use defaults if field left empty _J*l,]}S If dlg.TextBox1 = "" Then A}"|_&E A = 0 'Default accommodation nLL2/!'n Else "%K'~"S#Q, A = CDbl(dlg.TextBox1) #-%D(=&I End If -.Wwo(4 gpq ,rOIK If dlg.TextBox2 = "" Then @de ZZ pupilDiam = 4 'Default pupil diameter @Ez>?#z Else >QDyG8* pupilDiam = CDbl(dlg.TextBox2) V 2Xv) End If M._h=wX{} aj|3(2;Kp Print " " S))B^).0- Print "Accommodation = " & A & " Diopters" :TVo2Zm[@ Print "Pupil Diameter = " & pupilDiam & " mm" Qfp4}a= z<Z0/a2'1 ' Calculate new parameters with accommodation a<*+rGI taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness E2l"e?AN~ ~LI } Rant = 12.0 - 0.4*A 'Radius of anterior lens Uhu?G0>O CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens \[!{tbK`2 i`YZ;L L Rpost = -5.224557 + 0.2*A 'Radius of posterior lens Wrbv<8}%c CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens kM-8%a2i iwIn3R, tlens = 3.767 + 0.04*A 'Lens thickness */~|IbZ`o _I)TO_L; nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction '`tFZfT NXLb'mH~ 'Adjust parameters to account for accommodation "r`2V-E mR2"dq;U '************************************************************************* g3s5ra[ 'Aqueous thickness (Position of Lens) Q?hf2iw '************************************************************************* f2tCB1[D+ eID = FindFullName( "Geometry.Arizona Eye.Lens" ) TlO=dLR7d GetCustomElement eID, entity ZYY`f/qi *QNX?8Fm_ parID = FindFullName( "Geometry.Arizona Eye" ) nUs=PD3) m,+E5^ ' Delete any shift(s) in z t.&JPTK-H count = 0 Cm5L99Y While GetOperationCount(eID)>count Ww~C[8q GetOperation eID, count, op LD{~6RP If op.Type="ShiftZ" Then r:rPzq1 DeleteOperation eID,count ?gu!P:lZS count=count-1 fx:vhEX End If -~sW@u)O count=count+1 >q')%j Wend 2./z6jXW_ zp4@T) 'Set new shift in ']Czn._ op.Type = "ShiftZ" O*2{V]Y
@ op.val1 = taq .R)Ho4CE op.parent = parID ;
p+C0!B2 AddOperation eID, op FYNUap,A Print "Set aqueous humor thickness = " & taq-0.55 &]f8Xd JFu.o8[Q '************************************************************************* "tb KbFn9 'Radius and conic constant of anterior lens Hl}m*9<9us '************************************************************************* H[R6 ?H@$F eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) aA%x9\Y GetConic eID, entity, curv, conic U_9|ED: XYV`[,^h& SetConic eID, entity, 1/Rant, CCant E-X02A Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant F)l1%FCm b;`MHEzw&q '************************************************************************* -R$ Q`Xw 'Radius and conic constant of posterior lens yqJ>Z%)hf '************************************************************************* e*<pO@Uy eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) Ug[0l) GetConic eID, entity, curv, conic #BEXj<m+J / H GPy SetConic eID, entity, 1/Rpost, CCpost cri-u E? Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost 3nq4Y' D1]?f` '************************************************************************* !~m PxGY 'Lens thickness (Position of posterior lens surface) FIJ]` '************************************************************************* RR`\q>| 5n::]Q%=D parID = FindFullName( "Geometry.Arizona Eye.Lens" ) GB*^?Ii
1[Q~&QC ' Delete any z-shift(s) bHDZ=Ik count = 0 Kk \,q? While GetOperationCount(eID)>count %@I= $8j GetOperation eID, count, op Pr/q?qZY If op.Type="ShiftZ" Then vN6)Szim DeleteOperation eID,count r"7 !J[u count=count-1 +nYF9z2 End If \ 6Y%z
count=count+1 1LmbXH]% Wend P$__c{1\ lo7>$`Q 'Set new z-shift "NV~lJS% op.Type = "ShiftZ"
" v'%M({ op.val1 = tlens JWQd6JQ_~V op.parent = parID =EHKu|rX~ AddOperation eID, op ypvz&SzIh Print "Set lens thickness = " & tlens ) C#>@W bM,%+9oz; '************************************************************************* >b*}Td~J 'Lens index of refraction L3S29-T '************************************************************************* UE/iq\a> eID = FindMaterial( "Lens" ) Q-e(>=Gv_ GetModelMaterial eID, mat 9 KU3)%U @
&GA0;q0t mat.Nd = nlens cS",Bw\ SetModelMaterial eID, mat . N5$s2t Print "Set lens index of refraction = " & nlens 1mv8[^pF 'V4B{n7h '************************************************************************* "6WE6zq 'Pupil diameter F@xKL;'N74 '************************************************************************* 1?y
QjW, eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) #!jwn^yq `$] ZT>& 'Adjust pupil diameter (trimming volume inner hole) 8$ _8Yva"e 7]
>z e SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" .|LY /q\A p+F>+OQ* ' Adjust pupil location to just in front of the lens c*V/2"
5 parID = FindFullName( "Geometry.Arizona Eye" ) ?[8s`caK. eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) 3Q#3S count = 0 \lpvRZ\L&g While GetOperationCount(eID)>count \2[ GetOperation eID, count, op JIMi~mEiN If op.Type="ShiftZ" Then Mgux(5`; DeleteOperation eID,count iB*1Yy0DC count=count-1 p=dM2> End If E>1%7"
i< count=count+1 jGn2QL Wend -aM7>YR op.Type = "ShiftZ" $*+`;PG- op.val1 = taq-0.01 vn.j>;E' op.parent = parID f!}e*oX AddOperation eID, op Uclta u/HNXJ7M`9 Print "Set pupil diameter = " & pupilDiam ej]>*n p~<d8n4UH 'Update AZ Eye subassembly Description Z7=k$e eID = FindFullName( "Geometry.Arizona Eye" ) aB~=WWLR\ GetEntity eID, entity 7eyx cr;z entity.Description = "Accommodation = " & A & "D" 7HQ|3rt SetEntity eID, entity *qw//W B"Ttr+ Update k mX:~KMb Print "DONE!" CQET &BRi& &f End Sub ,M9Hdm 2]_fNCNLN 如果屈光度是4,光瞳直径是4,则会输出如下数据: I~>Ye<g# 0t0m?rVW Accommodation = 4 Diopters e`t-:~' Pupil Diameter = 4 mm i/q1> Set aqueous humor thickness = 2.81 FrQRHbp3 Set anterior lens radius = 10.4 and conic constant = -2.375869 2~!+EH
Set posterior lens radius = -4.424557 and conic constant = -3.081019 $McbVn)~f Set lens thickness = 3.927 LVNJlRK Set lens index of refraction = 1.42672 pa6-3c Set pupil diameter = 4 Qr]`flQ8 DONE! _iZ9Ch\
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