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简介 C9+Dw#-fV gU*I;s> 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。 N>T=L0` y7
<(,uT 模型 <sF!]R&4 KKMWD\ 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。 rr6"Y&v ix+x3OCip Table 1. AZ眼睛模型的定义 E<P*QZ-C3 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. 5[ hlg(eb {.%0@{Y 光源 J2x$uO{Bn k.ww-nH 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。 n/:Z{ }8X:?S
% uof0Oc. 图1. 光源和提示信息使用 -kt1t@O 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。 $M%}Oz3* ol1AD: Ho 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。 %hrsE5k^, SwQOFE/Dv~ 图2. 字母F光源的设定方法光 A`
oa|k!U pzYG?9cwz 图3. 字母F在视网膜上位置点列图 cbY3m Sfn* 视网膜的散射 ;2 \<M6 a:wJ/ p 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。 I\)N\move jR}*bIzv i$2MjFC- 图4. 视网膜朗伯散射设定 "otr+.{`* 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。 yzODF>KJ puk4D 3<yCe%I: 图5. 视网膜重点采样规格设定 4_Tb)?L+: 脚本 VN1#8{ "1E?3PFJ
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: vjY);aQ PP~CZ2Fze 图6. 用户对话框的创建与编辑 GWVEIZ 图7. 用户对话框编辑器 4ZSfz#<[z 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。 ~ly`u 余下的脚本计算与屈光度有关的所有参数。 GXGN;,7EV h:eN>yW 分析 }"!6Xm w?*'vF_2:# 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。
"`H=AX0 }C9VTJs| 图7. 字母F在视网膜上颜色分析 @|JPE%T 脚本代码 n C\(+K1% dpl"}+ Option Explicit 'Remove this to enable non-dimensioned variables to be used. mJU>f-l f4qS OVv
Dim entity As T_ENTITY gt(X!iN] Dim op As T_OPERATION N GX-'w Dim mat As T_MODELMATERIAL =Td#2V;0 Dim A As Double w;g)Iy6x Dim pupilDiam As Double `XFX`1 Dim eID As Long $u(M 4(} Dim parID As Long y?rK5Yos Dim count As Integer Mr@<ZTw Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double @8T
Vr2uy Dim tlens As Double, nlens As Double Wl@0TUK Dim curv As Double, conic As Double D"1vw<Ak Dim ok As Long m&;zLBA; w%!k?t,*] Sub Main @8}-0c MV:<w3! '用户输入对话框 =2GP^vh Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 htNL2N TextBox 220,21,40,21,.TextBox1 'default: 0 Vf#oKPP1 Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 98<bF{#0WM OKButton 40,91,90,21 S:"z<O CancelButton 190,91,90,21 &eLQ;<qO*| Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 U[H+87zg TextBox 220,49,40,21,.TextBox2 'default: 4 xP|%rl4 End Dialog ]-+.lR%vd9 Dim dlg As UserDialog o>QFdx Es ZnGuY ok = Dialog (dlg) >"m@qkh Oa3=+_C~$1 If ok=0 Then 'cancel button was pressed 96([V|5K Print "Execution cancelled." A$$R_3ne End _tWfb}6;Zb End If 9 Le/'o vq hc31+TL 'Assign accommodation and pupil diameter & use defaults if field left empty 519:yt If dlg.TextBox1 = "" Then NC[GtAPD3 A = 0 'Default accommodation 0YTtA]|`4 Else ?Sd~u1w8K A = CDbl(dlg.TextBox1) 1' @lg*^9 End If .P0Qs&i !D|pbzQc8 If dlg.TextBox2 = "" Then (qq$y
#$ pupilDiam = 4 'Default pupil diameter ^QL/m\zq@% Else U{:(j5m pupilDiam = CDbl(dlg.TextBox2) ofJ]`]~VG End If @{$Cv"6769 %N AFU/& Print " " #|*,zIYo Print "Accommodation = " & A & " Diopters" V?L$ys Print "Pupil Diameter = " & pupilDiam & " mm" #B.w7y5* ,oi`BOh ' Calculate new parameters with accommodation Xxsnpb> taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness )su
<Ji* DJ2]NA$Q* Rant = 12.0 - 0.4*A 'Radius of anterior lens ^Hhw(@`qf CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens r{N{!"G
N@du.d: Rpost = -5.224557 + 0.2*A 'Radius of posterior lens GVHfN5bTqn CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens _XO)`D~ '2qxcc o tlens = 3.767 + 0.04*A 'Lens thickness 94k)a8-! j[=_1~u} nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction +qW w-8 {ALBmSapK" 'Adjust parameters to account for accommodation ;h(;( \eSk7C '************************************************************************* 8UY=}R2C 'Aqueous thickness (Position of Lens) ))+98iU1s '************************************************************************* 3K20f8g eID = FindFullName( "Geometry.Arizona Eye.Lens" ) SAxa7B/U2 GetCustomElement eID, entity 8KELN(o$ 7 >^\>-U| parID = FindFullName( "Geometry.Arizona Eye" ) f [I'j0H% { `|YX_HS ' Delete any shift(s) in z ~FCSq:_ count = 0 (l!D=qy While GetOperationCount(eID)>count AqKx3p6 GetOperation eID, count, op |I^Jn@Mq: If op.Type="ShiftZ" Then )PoI~km DeleteOperation eID,count jvQ+u L count=count-1 JE:n`l/p End If !}Ou|r4_ count=count+1 D>#v 6XI Wend /$.vHt5nt huD\dmQ:] 'Set new shift in a=T7w;\h op.Type = "ShiftZ" P(i2bbU op.val1 = taq 0N[DV] op.parent = parID ~JRuMP AddOperation eID, op 96E7hp !: Print "Set aqueous humor thickness = " & taq-0.55 iF_r'+j D.CsnfJ '************************************************************************* 'e)ze^Jq 'Radius and conic constant of anterior lens .q[sk '************************************************************************* =
Vr[V@ eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) |3lAye,t)a GetConic eID, entity, curv, conic `L[32B9 \ui~n:aWJ SetConic eID, entity, 1/Rant, CCant T2PFE4+Dp Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant IS*"_o<AR e^Wv*OD' '************************************************************************* d*:qFq_ 'Radius and conic constant of posterior lens wQuaB6E '************************************************************************* h \cK eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) #2'&=?J1r GetConic eID, entity, curv, conic w[vIPlSdS E6-(q!"A SetConic eID, entity, 1/Rpost, CCpost WuZn|j' Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost @`*YZq>p Y'H/
$M N '************************************************************************* ^^Q32XC, 'Lens thickness (Position of posterior lens surface) 5@rqU(]< '************************************************************************* v%~ViOgL\ |oi49:NXn parID = FindFullName( "Geometry.Arizona Eye.Lens" ) %=O!K>^vt< J0mCWtx& ' Delete any z-shift(s) iKH T count = 0 c Yn}we}7 While GetOperationCount(eID)>count @z JZoJL]J GetOperation eID, count, op >@e%,z If op.Type="ShiftZ" Then 92_H!m/ DeleteOperation eID,count ssbyvzQ count=count-1 'n.9qxY; End If 'wq:F?viF count=count+1 F(fr,m3 Wend rL/7wa l hp:. 'Set new z-shift R:m=HS_ op.Type = "ShiftZ" 3evfX[V# op.val1 = tlens G'C^C[_W op.parent = parID #@"rp]1xv AddOperation eID, op %D0Ws9:| Print "Set lens thickness = " & tlens /[dAgxL Z'bMIdV '************************************************************************* B&j+fi 'Lens index of refraction k8>^dZub '************************************************************************* :2gO)
'cD eID = FindMaterial( "Lens" ) -7VV5W GetModelMaterial eID, mat ~'\u:Imuo boB{Y 7gO4 mat.Nd = nlens G"sc;nT SetModelMaterial eID, mat ]h$TgX Print "Set lens index of refraction = " & nlens /`@>v$oo <bppu>& '************************************************************************* SP1oBR"3 'Pupil diameter ToM*tXj '************************************************************************* [+7X&B eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) T5+b{qA ^P`'qfZ 'Adjust pupil diameter (trimming volume inner hole)
&g>+tkC /! G0 g%k SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" ub&29Qte }}R!Y) ' Adjust pupil location to just in front of the lens <u/({SZ& parID = FindFullName( "Geometry.Arizona Eye" ) _J;a[Ky+[ eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) &"n9,$ count = 0 Vp4] While GetOperationCount(eID)>count +c_CYkHJ/ GetOperation eID, count, op 8}@a?QS(& If op.Type="ShiftZ" Then D8XXm lo DeleteOperation eID,count "!?Ya{ count=count-1 PyE<`E End If t4uxon count=count+1 JwVv+9hh Wend +=$G6uR$ op.Type = "ShiftZ" DO{4n1-U op.val1 = taq-0.01 w Vmy`OV/ op.parent = parID M/;g|J
jM AddOperation eID, op Z`MQ+ U%l{>*q Print "Set pupil diameter = " & pupilDiam I]1fH xbA2R4| 'Update AZ Eye subassembly Description _?<Fc8F eID = FindFullName( "Geometry.Arizona Eye" ) ]h@:Y] GetEntity eID, entity CB)#;
|aDB entity.Description = "Accommodation = " & A & "D" Mq$=zsj SetEntity eID, entity Y
[S^&pF &ayoTE^0, Update i[J', Print "DONE!" aR $P}]H p(%x&*)f End Sub VTa8.(i6v 9hU@VPB~ 如果屈光度是4,光瞳直径是4,则会输出如下数据: x #g,l2_! KQ3
On(d Accommodation = 4 Diopters AQZ\Kcr Pupil Diameter = 4 mm HR Set aqueous humor thickness = 2.81 =Y0m;-1M Set anterior lens radius = 10.4 and conic constant = -2.375869 ESI}+ Set posterior lens radius = -4.424557 and conic constant = -3.081019 v>R.ou( Set lens thickness = 3.927 ln7.>.F Set lens index of refraction = 1.42672 XF6=xD Set pupil diameter = 4 5N/;'ySAE_ DONE! L_|Y_=r." HY:n{=o `R^VK-=C QQ:2987619807 eF@E|kK
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