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简介 N0U/u'J!g h`fVQN.3 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。 B~Q-V&@o /'O8RUjN 模型 XX;4A
^?69|, 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。 h$>F}n
j )^h6'h` Table 1. AZ眼睛模型的定义 ?HZp@& 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. I-7LT?r W+XWS,( 光源 ~,'{\jDrS /Y Kd [RQ 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 8OfQ : e5h*GKF ]' mbHkn68 图1. 光源和提示信息使用 Otn,UoeeB 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 s>rR\` LzygupxY! 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 lG*Rw-?a &[.5@sv 图2. 字母F光源的设定方法光 `S&a.k l/$GF|`U 图3. 字母F在视网膜上位置点列图 z*Sm5i&)_q 视网膜的散射 *P()&}JK Er~ 17$b 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 XGlt^<` Iw1Y?Qia ^}3^|jF 图4. 视网膜朗伯散射设定 ,m=F
H?5 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 *2X6;~ TyxIlI4" gmTBT#{6yH 图5. 视网膜重点采样规格设定 O--p)\ 脚本 61\u{@o$ 1I Yip\:lS 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: #GsOE#*>T l,wlxh$}( 图6. 用户对话框的创建与编辑 `i{d"H0E 图7. 用户对话框编辑器 (5a73%>@ 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。 Q&m85'r5X 余下的脚本计算与屈光度有关的所有参数。 Re%[t9F& vr!J3H f 分析 [f6uwp <+8'H:wz 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 ,OZ &K[*vyD 图7. 字母F在视网膜上颜色分析 :I"CQ
C[Z 脚本代码 ROO*/OOd !U`&a=k Option Explicit 'Remove this to enable non-dimensioned variables to be used. {f*Y}/@ EZtU6kW" Dim entity As T_ENTITY DF%d/a{] Dim op As T_OPERATION I-v}
DuM Dim mat As T_MODELMATERIAL ` Xc7b Dim A As Double :XKYfc_y Dim pupilDiam As Double Z0|5VLk,<{ Dim eID As Long ,(jJOFf Dim parID As Long 01bCP Dim count As Integer ~f QrH%@ Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double $CcjuPsK Dim tlens As Double, nlens As Double <,.$U\W Dim curv As Double, conic As Double T+8Yd(:hX Dim ok As Long j:9M${~ zal]t$z> Sub Main 6iFlz9XiI -oD,F
$Rb '用户输入对话框 p^l#Wq5 Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 7T[~~V^x TextBox 220,21,40,21,.TextBox1 'default: 0 !E70e$Th Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 Q+CJd>B OKButton 40,91,90,21
/SvhOi CancelButton 190,91,90,21 |T#cq! Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 F)P:lvp<r TextBox 220,49,40,21,.TextBox2 'default: 4 i Ad&o`C End Dialog 9#E *o~1 Dim dlg As UserDialog glAS$< 2g(_Kdj*{ ok = Dialog (dlg) #%,X),%- 1N5
E If ok=0 Then 'cancel button was pressed gt4GN`-k Print "Execution cancelled." K5>3 End O[X*F2LC4 End If dT`nR" ZbRRDXk! 'Assign accommodation and pupil diameter & use defaults if field left empty F`}'^> If dlg.TextBox1 = "" Then yoE-a
A = 0 'Default accommodation DJ ru|2 Else 8lQ/cGAc A = CDbl(dlg.TextBox1) LpHGt]|D End If IRW0.'Dn }gSoBu If dlg.TextBox2 = "" Then ;W0J pupilDiam = 4 'Default pupil diameter bGh&@&dHr Else N'1I6e" pupilDiam = CDbl(dlg.TextBox2) 2BY|Cp4R End If deVd87;@7[ \Z*:l( Print " " ]4rmQAS7" Print "Accommodation = " & A & " Diopters" as07~Xvp- Print "Pupil Diameter = " & pupilDiam & " mm" $W._FAAJ# `&;#A*C0 ' Calculate new parameters with accommodation q NGR6i taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness kH g|! EeaJUK]z9 Rant = 12.0 - 0.4*A 'Radius of anterior lens z$<=8ox8e CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens ]36SF5<0r
]t[%.^5# Rpost = -5.224557 + 0.2*A 'Radius of posterior lens mQj# \<* CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens #v
c+;`X 8~ y!X0Ov! tlens = 3.767 + 0.04*A 'Lens thickness R ENCk( cT(nKHL nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction zU5@~J
e]<Syrk 'Adjust parameters to account for accommodation %6ckau1_; )St0}?I~ '************************************************************************* AFt- V 'Aqueous thickness (Position of Lens) .M6. ]H '************************************************************************* {\Pk;M{Y& eID = FindFullName( "Geometry.Arizona Eye.Lens" ) 1I;q@g0 GetCustomElement eID, entity GzEw~JAs AA-$;s parID = FindFullName( "Geometry.Arizona Eye" ) 4'faE="1)S %
:G78. ' Delete any shift(s) in z h(WlJCln count = 0 e`Yj}i*bx] While GetOperationCount(eID)>count 8YSvBy GetOperation eID, count, op qMaO1cE\ If op.Type="ShiftZ" Then ,|f=2t+5X DeleteOperation eID,count c{'Z.mut count=count-1 M:O*_>KF End If N\|B06X count=count+1 n3e,vP? R Wend e"@r[pq-{u q~>!_q]FE 'Set new shift in c[J 2;"SP op.Type = "ShiftZ" (~@.9&cBD op.val1 = taq hn .(pI1 op.parent = parID Iq|h1ie
m+ AddOperation eID, op {UH45#Ua Print "Set aqueous humor thickness = " & taq-0.55 ?`TQ!m6y ]xf89[;0 '************************************************************************* :F d1k
Jm 'Radius and conic constant of anterior lens QXI~Toddj '************************************************************************* [KUkv eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) t{,$?} GetConic eID, entity, curv, conic 1uo |a 58?WO} SetConic eID, entity, 1/Rant, CCant 7L+Wj }m Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant w !kk(QMV HubG>] '************************************************************************* Ov"wcJ 'Radius and conic constant of posterior lens Wz^;:6F '************************************************************************* xK8m\=# eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) `+=Zq :0 GetConic eID, entity, curv, conic oVqx)@$K u!xgLf'` SetConic eID, entity, 1/Rpost, CCpost ,T;sWl Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost dLQp"vs $ Zn1((J7 '************************************************************************* ^PdD-tY< 'Lens thickness (Position of posterior lens surface) =$}`B{(H '************************************************************************* t<`wK8) lC*xyOK parID = FindFullName( "Geometry.Arizona Eye.Lens" ) }?b\/l< !:d\A ' Delete any z-shift(s) !B[Y?b: count = 0 |yNyk7~ While GetOperationCount(eID)>count 4JBfA, GetOperation eID, count, op oCwep^P(v If op.Type="ShiftZ" Then $_% DeleteOperation eID,count ?:q"qwt$F count=count-1 gISA13 End If H/f}tw count=count+1 8<Nz34Y Wend c[1{>z{G HJr*\%D}1 'Set new z-shift =5:vKL j op.Type = "ShiftZ" 2!f'l'} op.val1 = tlens 6
y"r' op.parent = parID E.'6p \ AddOperation eID, op yyPj!<.MGP Print "Set lens thickness = " & tlens =M{&g
1>_$O|dE '************************************************************************* r?`nc6$0| 'Lens index of refraction E=v4|/['N '************************************************************************* `,
|l eID = FindMaterial( "Lens" ) uA?a
DjA GetModelMaterial eID, mat >iJxq6! 7DW-brd
mat.Nd = nlens 48gpXcc@| SetModelMaterial eID, mat U ;4;> Print "Set lens index of refraction = " & nlens "{{@N4^ 7Aw <: '************************************************************************* _#<l -R` 'Pupil diameter p<VW;1bt5 '************************************************************************* <!u(_Bxw/ eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) B^1jd!m 8Z@O%\1x6 'Adjust pupil diameter (trimming volume inner hole) Rlr[uU_ 3,+UsB% SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" +SRM?av Mi!ak ' Adjust pupil location to just in front of the lens I1ibrn parID = FindFullName( "Geometry.Arizona Eye" ) 'u[cT$ eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) d{^K8T3 count = 0 I#yd/d5^ While GetOperationCount(eID)>count [o'}R`5) GetOperation eID, count, op or`"{wop If op.Type="ShiftZ" Then ]sI{+$~:c DeleteOperation eID,count wRWKem= count=count-1 `Q^Vm3h End If @XF/hhGE_y count=count+1 ,g)9ZP.F Wend KrECAc op.Type = "ShiftZ" =2wy;@f op.val1 = taq-0.01 &kOb#\11u op.parent = parID FLlL0Gu AddOperation eID, op qmpU{fs a'@?c_y;$ Print "Set pupil diameter = " & pupilDiam 7"_gX 6dCqS 'Update AZ Eye subassembly Description %8L5uMx eID = FindFullName( "Geometry.Arizona Eye" ) LZ9IE>sj GetEntity eID, entity cW $~86u"C entity.Description = "Accommodation = " & A & "D" PI")^` SetEntity eID, entity wa9{Q}wSa #`Et{6WS Update |z%*}DPrpa Print "DONE!" *r3u=oWb |Oaj
Jux End Sub "2/VDB4!FG _nnl+S>K 如果屈光度是4,光瞳直径是4,则会输出如下数据: dv\oVD Fx*IeIs(:~ Accommodation = 4 Diopters b+}*@xhl Pupil Diameter = 4 mm HaamLu Set aqueous humor thickness = 2.81 yYTiAvN Set anterior lens radius = 10.4 and conic constant = -2.375869 ;c>Rjg&[ Set posterior lens radius = -4.424557 and conic constant = -3.081019 P(r}<SM Set lens thickness = 3.927 Z.0^:rVp~ Set lens index of refraction = 1.42672 k}Vu!+c z Set pupil diameter = 4 ?3i-wpzMp DONE! hAZ"M:f
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