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简介 5jS8{d0 UwQyAD]Ht 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。 8`4Z%;1 qE W3k), 模型 )8244; G|,'6|$jE 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 ^CtA@4 EWX!:BKf Table 1. AZ眼睛模型的定义 ^@a|s
Sb 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd.
`N,q~@gL F~O}@e{ 光源 _w\A=6=q| ,FP<#
0F*a 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 Gi9s*v,s ns/L./z U`HSq=J 图1. 光源和提示信息使用 h+<F,0 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 N-Jp; D z:+fiJB_ 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 6k%Lc4W l^,"^vz 图2. 字母F光源的设定方法光 'A}@XGE:p PRyZ; @ 图3. 字母F在视网膜上位置点列图 G$HXc$OY 视网膜的散射 VBe.&b8 ,^#{k!uaC{ 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 rgOc+[X (uk-c~T!u ow!NH,'Hy 图4. 视网膜朗伯散射设定 ~$FgiW 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。 ^o@N.+`&< 4{Q{>S*h |_ u 图5. 视网膜重点采样规格设定 I6B`G Im5 脚本 \dzHG/e W?
^ ?Kx 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: }+wvZq +c F4|Z:e,Hr 图6. 用户对话框的创建与编辑 Dno'-{- 图7. 用户对话框编辑器 =bwuLno> 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。 bW e_<'N 余下的脚本计算与屈光度有关的所有参数。 Q Jnji rCTH 5" 分析 &LD=Zp% >Y\$9W=t 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 pm 4"Q!K 2[;4D/`* 图7. 字母F在视网膜上颜色分析 MMYV8;c 脚本代码 x%WL!Lo
erW[q Option Explicit 'Remove this to enable non-dimensioned variables to be used. A/%+AH( EG|fGkv" Dim entity As T_ENTITY ?;dfA/ Dim op As T_OPERATION Up/s)8$. Dim mat As T_MODELMATERIAL eInx\/ Dim A As Double k m(Mv Dim pupilDiam As Double hj_%'kk-A Dim eID As Long R;{y]1u Dim parID As Long 9AGf4tuy Dim count As Integer Y4 < Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double ,8vqzI Dim tlens As Double, nlens As Double -x)zyq6 Dim curv As Double, conic As Double yL#bZ9W
} Dim ok As Long #w
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T 9t1aR*b&@ Sub Main MBO3y&\S4 +F9)+wT~;q '用户输入对话框 zxV,v*L) Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 e_6-+l!f TextBox 220,21,40,21,.TextBox1 'default: 0 dg?[gD8!4& Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 n.a55uy OKButton 40,91,90,21 IQ`#M~: CancelButton 190,91,90,21 a+--2+~= Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 <A_L Zi TextBox 220,49,40,21,.TextBox2 'default: 4 EC]b]'._ End Dialog j1yW{
Dim dlg As UserDialog )U~,q>H+
% O'OVj ok = Dialog (dlg) *_aeK~du. Eed5sm$H If ok=0 Then 'cancel button was pressed 6]/LrM, 23 Print "Execution cancelled." YXdd=F End %O!~!'
End If k7 0o=} Buue][[ 'Assign accommodation and pupil diameter & use defaults if field left empty &f:"p*=a\ If dlg.TextBox1 = "" Then C_RxJWka A = 0 'Default accommodation ^F*G Else |?tUUT!`t A = CDbl(dlg.TextBox1) dCF!. End If :ziV3jRM rTgCmr'& If dlg.TextBox2 = "" Then -j6&W` pupilDiam = 4 'Default pupil diameter {5$.:Y Else ]4$t'wI. pupilDiam = CDbl(dlg.TextBox2) %B,>6 `[ End If 8w:A"" {!$E\e^d Print " " bw@"MF{ Print "Accommodation = " & A & " Diopters" i"#36CVT~ Print "Pupil Diameter = " & pupilDiam & " mm" } ! jk >A+0"5+_p ' Calculate new parameters with accommodation aMxg6\8 taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness '\&t3?; Gs2|#*6 Rant = 12.0 - 0.4*A 'Radius of anterior lens h7}D//~p CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens <vP{U 6eUM[C. Rpost = -5.224557 + 0.2*A 'Radius of posterior lens
S#kA$yO CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens Nan@SuKY r&u&$"c tlens = 3.767 + 0.04*A 'Lens thickness i#uc E3):8>R;1 nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction th$?#4SbR GW]b[l 'Adjust parameters to account for accommodation B.e3IM0 7)2Co[t '************************************************************************* l"I
G;qO. 'Aqueous thickness (Position of Lens) J
FYV@%1~ '************************************************************************* 0Y%u[i/ eID = FindFullName( "Geometry.Arizona Eye.Lens" ) $50/wb6s GetCustomElement eID, entity |KV|x^fJ d)_fI*:f parID = FindFullName( "Geometry.Arizona Eye" ) Rh[%UNl Zj(2$9IU ' Delete any shift(s) in z |>/T*zk< count = 0 +A
4};]W| While GetOperationCount(eID)>count $jpAnZR- / GetOperation eID, count, op W?`%it5 If op.Type="ShiftZ" Then n<}t\<LG^c DeleteOperation eID,count |f:1Br count=count-1 k>2tC< End If j9V*f
HK count=count+1 R-L*N$@! Wend J%Cn `t@Rh~B 'Set new shift in TA2?Ia;@xV op.Type = "ShiftZ" &!kD81?Mm op.val1 = taq _iJ8*v8A op.parent = parID \Ax[/J2aO AddOperation eID, op mbij& 0 Print "Set aqueous humor thickness = " & taq-0.55 {^Y0kvnd 0q@U># '************************************************************************* Y(qyuS3h~* 'Radius and conic constant of anterior lens pb\W7G '************************************************************************* u?ALZxj? eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) 5Tl3k=o} GetConic eID, entity, curv, conic bv%A; #QWG5 SetConic eID, entity, 1/Rant, CCant p$qpC$F Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant >+9f{FP
9 {JJq/[j '************************************************************************* 1ymq7F(2 'Radius and conic constant of posterior lens w9Eb\An '************************************************************************* f vAF0
a eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) _o'3v=5T GetConic eID, entity, curv, conic =;) M+" 6r|Bi HP SetConic eID, entity, 1/Rpost, CCpost Y$@?Y/rhR Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost _&U5 u 2I8RO\zR '************************************************************************* RPXkf71iM 'Lens thickness (Position of posterior lens surface) rA"><pH '************************************************************************* @CxXkR ]0g$3 parID = FindFullName( "Geometry.Arizona Eye.Lens" ) i uNBw] Ah_Ttj ' Delete any z-shift(s) -F]0Py8( count = 0 )|Ho"VEmg While GetOperationCount(eID)>count zvDg1p GetOperation eID, count, op SWrt 4G If op.Type="ShiftZ" Then qv+8wJ(( DeleteOperation eID,count hj8S".A_ count=count-1 "!fvEE End If ^2|G0d@.: count=count+1 {m<NPtp910 Wend .5t|FJ]`$ FtEmSKD 'Set new z-shift ThvVLK op.Type = "ShiftZ" aDae0$lc.S op.val1 = tlens f19~B[a op.parent = parID +Vf39}8 AddOperation eID, op %+1;iuDL Print "Set lens thickness = " & tlens x+X^K_* 8.g(&F '************************************************************************* )=PmHUd 'Lens index of refraction 0Xke26ga '************************************************************************* U,Duq^l~s eID = FindMaterial( "Lens" ) ,pg\5b GetModelMaterial eID, mat +RuPfw{z WX2w7O'R mat.Nd = nlens r=`]L-}V SetModelMaterial eID, mat t!u{sr{j= Print "Set lens index of refraction = " & nlens ]xYm@%>6 s--\<v '************************************************************************* Gp PlO] 'Pupil diameter knPo"GQW '************************************************************************* uPp9
UW eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) Hf
]w V*|#j0}b 'Adjust pupil diameter (trimming volume inner hole) V&j
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SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" gO E3x^X*{ cSkJlhwNn ' Adjust pupil location to just in front of the lens jDaWmy<ha parID = FindFullName( "Geometry.Arizona Eye" ) og! d eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) tR;? o,T count = 0 0D\b;ju< While GetOperationCount(eID)>count 3=SN;cn GetOperation eID, count, op W$l%= / If op.Type="ShiftZ" Then <gdKuoY DeleteOperation eID,count !aVwmd'9 count=count-1 HLPnbI-+ End If IO(Y_7 count=count+1 X5M{No>z Wend w^.^XK4v. op.Type = "ShiftZ" 5T,In+~Kd op.val1 = taq-0.01 HifU65"8 op.parent = parID )R QX1("O AddOperation eID, op S!/N
lSr< 77:s=) Print "Set pupil diameter = " & pupilDiam @aA1=9-L SiM1Go}# 'Update AZ Eye subassembly Description Tt0:rQ. eID = FindFullName( "Geometry.Arizona Eye" ) R
m{\ R GetEntity eID, entity xEA%UFB.!G entity.Description = "Accommodation = " & A & "D" \mBH6GS SetEntity eID, entity S b9In_*
0 I>]t% YKj Update HfF4BQxm Print "DONE!" kRyt|ryWh =t+{)d.w End Sub ) ny,vcU] g;>M{)A 如果屈光度是4,光瞳直径是4,则会输出如下数据: 7=o2$ ddR_+B*H Accommodation = 4 Diopters bwo{
Lw~ Pupil Diameter = 4 mm CD]2a@j{ Set aqueous humor thickness = 2.81 d^&F%)AT Set anterior lens radius = 10.4 and conic constant = -2.375869 iz2I4 _N Set posterior lens radius = -4.424557 and conic constant = -3.081019 BBub' Set lens thickness = 3.927 I& `>6=) Set lens index of refraction = 1.42672 "/EE$eU Set pupil diameter = 4 a-`OE" DONE! `f@VX
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