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简介 /j3oHi$ ilFM+x@ 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。 F
\} Kh3 S,Tm=} wj 模型 a$;+-Y LnR3C:NO k 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 t*Lo;]P ?e&CbVc4 Table 1. AZ眼睛模型的定义 oJXZ}>>iT 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. x1A^QIuxO 'fK_J}+P 光源 ]1D>3 XXe7w3x{ 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 S7N54X2JwL )
e;F@o3 nJ2l$J< 图1. 光源和提示信息使用 B%'Np7 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。 Td8'z' f_;3|i 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。 xB9^DURr\ ?&/9b)c S 图2. 字母F光源的设定方法光
KJ'MK~g ;'p0"\SV 图3. 字母F在视网膜上位置点列图 w8>T ~Mv 视网膜的散射 qJISB7F[%O U0)(k}Q) 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。 h"ZF,g;a ?8vjHEE :Z1_;`>CT 图4. 视网膜朗伯散射设定 %tQIKjsVaY 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。 `bt]v $ Or6'5e?N I`5MAvP 图5. 视网膜重点采样规格设定 q{KRM\ooYs 脚本 _#N~$ /a9+R)Al 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: hA/FK ~(hmiNa; 图6. 用户对话框的创建与编辑 -AcQ_dS 图7. 用户对话框编辑器 Rzb663d 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。 Zsf<)Vx 余下的脚本计算与屈光度有关的所有参数。 ugMJ}IGq QW~o+N~~ 分析 CR,
Y%0vQ :%!SzI? 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 _Zb_9& &dOV0y_ 图7. 字母F在视网膜上颜色分析 Zz/w>kAG*{ 脚本代码 %\5y6 'n>|jw) Option Explicit 'Remove this to enable non-dimensioned variables to be used. z|pH>R?: ]=]'*Z% Dim entity As T_ENTITY BDB-OJ Dim op As T_OPERATION ~r>WnI:vg Dim mat As T_MODELMATERIAL (<8T*Xo Dim A As Double ?w<x_Lo Dim pupilDiam As Double -B`;Sx Dim eID As Long HjV^6oP Dim parID As Long >n` OLHg; Dim count As Integer NWoZDsu Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double B /Dj2 Dim tlens As Double, nlens As Double Qt@~y'O Dim curv As Double, conic As Double qTffh{q V Dim ok As Long l(&CO<4q? L;BYPZR Sub Main .h7b 4J a"WnBdFZ '用户输入对话框 @br%:Nt Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 y`(z_5ClT TextBox 220,21,40,21,.TextBox1 'default: 0 u2Rmp4] Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 mZq*o<kTA OKButton 40,91,90,21 4@8i,q> CancelButton 190,91,90,21 Ylo@ Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 OgOu$. TextBox 220,49,40,21,.TextBox2 'default: 4 nS4~1a End Dialog 3QXGbu}:h! Dim dlg As UserDialog 59EAqz[: RmzK?muk ok = Dialog (dlg) '{7A1yJnY% xRaYm If ok=0 Then 'cancel button was pressed uO":\<1# Print "Execution cancelled." ]v9<^! End Zr$PSp} End If "bw4{pa+ 071wo7 'Assign accommodation and pupil diameter & use defaults if field left empty "%}PVO! If dlg.TextBox1 = "" Then k+s<;{ A = 0 'Default accommodation f$H"|Mbe Else <-lz_ A = CDbl(dlg.TextBox1) b!`:|!7r' End If 'z!I#Y!Y lGcHfW)Y If dlg.TextBox2 = "" Then Kvk;D ]$ pupilDiam = 4 'Default pupil diameter Ebq5P$ Else ^ro?.,c T pupilDiam = CDbl(dlg.TextBox2) jMw;`yh End If w5&UG/z%l k@wT,?kD Print " " my04>6j0 Print "Accommodation = " & A & " Diopters"
YemOP9 Print "Pupil Diameter = " & pupilDiam & " mm" J@R+t6$3O @l@lE0 ' Calculate new parameters with accommodation z:fd'NC taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness >i=O =w nbOMtK Rant = 12.0 - 0.4*A 'Radius of anterior lens
NghQ#c CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens @AyC0} ZNuyGo; Rpost = -5.224557 + 0.2*A 'Radius of posterior lens ?j $z[_K CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens @c{Z?>dUc# yJKezIL\z tlens = 3.767 + 0.04*A 'Lens thickness 9VP|a- NIYAcLa@n8 nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction }"3L>%Q5 jh=:Q P/ 'Adjust parameters to account for accommodation %n-LDn S:t7U% '************************************************************************* 778L[wYe 'Aqueous thickness (Position of Lens) t[^}/
S '************************************************************************* l+T\DZ eID = FindFullName( "Geometry.Arizona Eye.Lens" ) k:d'aP3 GetCustomElement eID, entity v3hNvcMpf -
+>~ parID = FindFullName( "Geometry.Arizona Eye" ) fEgZ/p!g `N|WCiBV. ' Delete any shift(s) in z
xXHz)w count = 0 al"1T- While GetOperationCount(eID)>count ;f6G&>p GetOperation eID, count, op q Rtgk If op.Type="ShiftZ" Then WQ6E8t) DeleteOperation eID,count 6?hv,^ count=count-1 QtX ->6P> End If ;GvyL>|-~ count=count+1 hz )L+ Wend (6.0gB$aTu ss-Be 'Set new shift in IG#=}q op.Type = "ShiftZ" -EITz op.val1 = taq qk:F6kL\` op.parent = parID O>'o; 0 AddOperation eID, op Q_@
Z.{ Print "Set aqueous humor thickness = " & taq-0.55 \DfvNeF qAG0t{K '************************************************************************* M/B_-8B_D 'Radius and conic constant of anterior lens Y6g[y\*t '************************************************************************* yqB{QFXO eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) m2 N
?Fg GetConic eID, entity, curv, conic 46$u}"E 2-{8+*_' SetConic eID, entity, 1/Rant, CCant JfC.U,7Nc Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant d)dIIzv Mu{mj4Y{ '************************************************************************* 5+ VdZ'@ 'Radius and conic constant of posterior lens iRPd=) '************************************************************************* f2yc]I<lr~ eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) ;qzCoe GetConic eID, entity, curv, conic {;z3$/JB *d(wOl5[ SetConic eID, entity, 1/Rpost, CCpost } |sP;Rpu Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost 0w(<pNA ~tz[=3!1H '************************************************************************* AbfLV942 'Lens thickness (Position of posterior lens surface) ^t#]E# '************************************************************************* Hm4lR{A
)u[2TI1 parID = FindFullName( "Geometry.Arizona Eye.Lens" ) &_!BMzp4 ,`H=%# ' Delete any z-shift(s) )zr/9aV count = 0 ( 6r9y3' While GetOperationCount(eID)>count />+JK5 GetOperation eID, count, op J }JT%SW If op.Type="ShiftZ" Then M0_K%Z(zaR DeleteOperation eID,count YB)1dzU count=count-1 I ][8[UZ End If [0_Kz"| count=count+1 lt(,/ Wend V1j&>-]]9* AKL~F|t 'Set new z-shift s31^9a op.Type = "ShiftZ" ~r|.GY op.val1 = tlens rytizbc op.parent = parID V ;>{-p AddOperation eID, op {J|P2a[ Print "Set lens thickness = " & tlens 1w\Y._jK kv) LH{ '************************************************************************* WhK?>u 'Lens index of refraction 93YD\R+q '************************************************************************* ,[~Ydth eID = FindMaterial( "Lens" ) Fbk<qQH GetModelMaterial eID, mat xcoYo .W?POJT mat.Nd = nlens RV&2y=eb SetModelMaterial eID, mat vy-{BH Print "Set lens index of refraction = " & nlens W*8D@a0 _ }H^# } '************************************************************************* J-u,6c 'Pupil diameter z*x6V0'yt '************************************************************************* y@hdN=- eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) /mr&Y}7T c*\^61T 'Adjust pupil diameter (trimming volume inner hole) K$(U>D| v[lytX4) SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" `D#l(gZ nPv2: x ' Adjust pupil location to just in front of the lens Yh"Z@D[d parID = FindFullName( "Geometry.Arizona Eye" ) 9|'bPOKe eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) Y&gfe8%5N count = 0 P,wFib^1 While GetOperationCount(eID)>count Q~*A`h# GetOperation eID, count, op 7<N X;Fx If op.Type="ShiftZ" Then /$q;-/DnTZ DeleteOperation eID,count w7%N=hL1 count=count-1 .+B!mmp End If 3bPVKsY count=count+1 ]enqkiS Wend 5B98}N op.Type = "ShiftZ" rj{'X / op.val1 = taq-0.01 N ~LR op.parent = parID _I'O4s1S AddOperation eID, op kXG+zsT gc(1,hv Print "Set pupil diameter = " & pupilDiam .h*&$c/l Xi0/Wb h\ 'Update AZ Eye subassembly Description X\$M _b>O eID = FindFullName( "Geometry.Arizona Eye" ) 6tnAE': GetEntity eID, entity 8zpK;+ entity.Description = "Accommodation = " & A & "D" "@ox= SetEntity eID, entity ^?juY}rZ=| T!;<Fy"p Update DO%YOv Print "DONE!" P-vA.7 }D=h"\_= End Sub t zV"|s=o ,fYO>l';`f 如果屈光度是4,光瞳直径是4,则会输出如下数据: &0ULj6jj } g
Accommodation = 4 Diopters W C`1;(#G Pupil Diameter = 4 mm _l/6Qpf Set aqueous humor thickness = 2.81 xt`znNN Set anterior lens radius = 10.4 and conic constant = -2.375869 50'6l
X(v, Set posterior lens radius = -4.424557 and conic constant = -3.081019 5hDE&hp Set lens thickness = 3.927 1hMk\ -3S Set lens index of refraction = 1.42672 r@n% Set pupil diameter = 4 7unu-P<C DONE! e`_3= kI
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