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f`^ yGZb 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。 eDX{}Dq( /XS}<!)% 模型 1q}iUnR jNaK] 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。 !RFlv \uQ(-ji Table 1. AZ眼睛模型的定义 o" &7$pAh 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. -+Kx^V#'R \[B5j0vV, 光源 => )l6**UE }/SbmW8(1 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。 xs.>+(@|; \P^WUWY XcR2]\ 图1. 光源和提示信息使用 &Jk0SUk MP 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。 $*H_0w Qc 8}XtVF; 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。 h-<('w:A ",w@_}z: 图2. 字母F光源的设定方法光 +Z/*=; wta\C{{ 图3. 字母F在视网膜上位置点列图 kHo0I8
视网膜的散射 PUuxKW} F7Mf>." 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。 =n
cu#T] HIk5Q'e k CDK0 $W n 图4. 视网膜朗伯散射设定 d2Z5HFtY 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。 -iR}kP| [v^T]L )%- FnW 图5. 视网膜重点采样规格设定 /[q6"R!uMz 脚本 mHM38T9C% :p;!\4)u 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: Z[)t34EY" `J'xVq#O 图6. 用户对话框的创建与编辑 x{*g^f 图7. 用户对话框编辑器 Q]S~H+eRy 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。 %nSm 32/t3 余下的脚本计算与屈光度有关的所有参数。 S*Qip,u IGV @tI 分析 9s>q4_D AME3hA 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 0BMKwZg Pv17wUB 图7. 字母F在视网膜上颜色分析 -y5^xR 脚本代码 "T=Z/@Vy !TA6- ]1 Option Explicit 'Remove this to enable non-dimensioned variables to be used. TD'Rv Tpl jV2L;APCq Dim entity As T_ENTITY ]>tYU Dim op As T_OPERATION uUB,OmLN Dim mat As T_MODELMATERIAL 3k.{gAZKh Dim A As Double 4/;hA
z Dim pupilDiam As Double :.e`w#$7 Dim eID As Long q_bE?j{ Dim parID As Long 'W(+rTFf! Dim count As Integer z#ab
V1
Xi Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double ^I4'7]n- Dim tlens As Double, nlens As Double E
( Dim curv As Double, conic As Double 48hu=,)81* Dim ok As Long pM],-7UM 2BZYC5jy Sub Main ]-QY,
k \3JZ=/ '用户输入对话框 b`){f\#t Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 #tg,%*.s TextBox 220,21,40,21,.TextBox1 'default: 0 S96H`kedZo Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 R4"*<%1 OKButton 40,91,90,21 Ydm0 CancelButton 190,91,90,21 $&&mGD;?K Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 t2skg TextBox 220,49,40,21,.TextBox2 'default: 4 i8iv{e2 End Dialog )hs"P%Zg Dim dlg As UserDialog K&Ner(/X`6 'w3BSaJi ok = Dialog (dlg) @ol=gBU '#RzX8|v< If ok=0 Then 'cancel button was pressed PP)iw@9j Print "Execution cancelled." w^OV;gp End 1N6.r:wg)% End If %IrR+f+H QZ?# ixvJ 'Assign accommodation and pupil diameter & use defaults if field left empty wNo2$>* If dlg.TextBox1 = "" Then <Hd8Jd4f A = 0 'Default accommodation c%y(Z5 Else H'KCIqo
A = CDbl(dlg.TextBox1) j5Kw0Wy7 End If `EKmp|B_p_ )4:K@ If dlg.TextBox2 = "" Then KYE)#<V}@ pupilDiam = 4 'Default pupil diameter MDV<[${ Else EQe !&; pupilDiam = CDbl(dlg.TextBox2) @Wgd(Ezd End If .5L|(B=H <A|X4; Print " " ?QA![ Print "Accommodation = " & A & " Diopters" .#^ta9^t7 Print "Pupil Diameter = " & pupilDiam & " mm" Pq\
`0/4_ krqz;q-p~ ' Calculate new parameters with accommodation NSe Huk taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness ot\ FZ `HVS}}{a Rant = 12.0 - 0.4*A 'Radius of anterior lens T_t5Tg~i[N CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens (V&5EO8) }9:(l Rpost = -5.224557 + 0.2*A 'Radius of posterior lens =MR.*m{ CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens o\/&05rp] grD[7;1~:) tlens = 3.767 + 0.04*A 'Lens thickness h/oRWl0r &10l80vj nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction _{j'` # /ILj}g' 'Adjust parameters to account for accommodation w8=&rzr8 s!k7Wwj '************************************************************************* x,wXR=H 'Aqueous thickness (Position of Lens) 5(wmy-x\ '************************************************************************* x[?N[>uw eID = FindFullName( "Geometry.Arizona Eye.Lens" ) 0gRj3al( GetCustomElement eID, entity l7h6R$7; 0 -VZn`6%s parID = FindFullName( "Geometry.Arizona Eye" ) 87!D@Xn ^b M\:z"M ' Delete any shift(s) in z 6=cfr; BH2 count = 0 LTZ8Eu While GetOperationCount(eID)>count zH"a>+st= GetOperation eID, count, op su$IXI#R-& If op.Type="ShiftZ" Then u+/Uc:XK) DeleteOperation eID,count 5)5$h]Nz> count=count-1 WCNycH+1 End If rn$G.SMgz count=count+1 ]ilQq~X Wend 3Pu8IXW QhhL_vP 'Set new shift in C/$bgK[ev op.Type = "ShiftZ" 18^#:=Z op.val1 = taq --fRh N> op.parent = parID SND@#?hiO AddOperation eID, op D`|8Og Print "Set aqueous humor thickness = " & taq-0.55 ^ps6\>=0cW kzE<Y '************************************************************************* reQr=OAez 'Radius and conic constant of anterior lens %p48=|+ '************************************************************************* >jU25"XI[ eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) Y/x>wNW GetConic eID, entity, curv, conic @T"-%L8PL zRU9Q2Y SetConic eID, entity, 1/Rant, CCant `uKsFXM Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant [vGkr" = |}7!'f\M '************************************************************************* XF&_**0n 'Radius and conic constant of posterior lens eo@kn yA<& '************************************************************************* 4wMZNa<Sx eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) <4LW.q GetConic eID, entity, curv, conic tk)JE^' KuRJo] SetConic eID, entity, 1/Rpost, CCpost ,i jB3J Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost &SG5f[ .@Lktc '************************************************************************* C'y4 ~7 'Lens thickness (Position of posterior lens surface) s=e`}4 '************************************************************************* {Gr"lOi*@ {/FdrS parID = FindFullName( "Geometry.Arizona Eye.Lens" ) +CVB[r#hu qfkdQ/fP ' Delete any z-shift(s) "{S6iH)]8 count = 0 lak,lDt] While GetOperationCount(eID)>count mm9uhlV8 GetOperation eID, count, op s{Og3qUy If op.Type="ShiftZ" Then csd9[=HW/Q DeleteOperation eID,count iT;Ld $!{f count=count-1 pO/vD~C> End If 5DpvMhc_ count=count+1 }4g$aTc Wend soRYM dB)-qL8,2 'Set new z-shift =H`yzGt op.Type = "ShiftZ" Z2L7US- op.val1 = tlens i[?VF\Y( op.parent = parID sf0\#Q AddOperation eID, op ]K3bDU~ Print "Set lens thickness = " & tlens 04WxV(fo' h<Ct[46,S '************************************************************************* (rc7Cp3 'Lens index of refraction l^XOW- ;u '************************************************************************* cyLl,OA eID = FindMaterial( "Lens" ) S0Ur{!9\#^ GetModelMaterial eID, mat 3-=AmRxW't P5H_iH mat.Nd = nlens ym p
ik.' SetModelMaterial eID, mat [dR#!"6t Print "Set lens index of refraction = " & nlens Y_}_)nE@m aX~Jk >a0 '************************************************************************* UT5xUv5' 'Pupil diameter 6g\hQ\+Z} '************************************************************************* a)4%sX*I
eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) cV"Ov@_.k op@=0d?? 'Adjust pupil diameter (trimming volume inner hole) qw*) R#= ]bAVOKm- SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" _R(9O?;q Q_Br{
`c ' Adjust pupil location to just in front of the lens `rXb:P7m{j parID = FindFullName( "Geometry.Arizona Eye" ) Zb&pH~ 7 eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) ?(Ua+*b count = 0 ie11syhV" While GetOperationCount(eID)>count
>S-JAPuO GetOperation eID, count, op }VRl L>HAC If op.Type="ShiftZ" Then n=PfV3B DeleteOperation eID,count +0 }_X count=count-1 [mv!r-= End If LXWI'nxV count=count+1 '=O1n H< Wend d``wx}#Uk op.Type = "ShiftZ" xFekSH7[F op.val1 = taq-0.01 @)x*6 2r+ op.parent = parID qe'ssX; AddOperation eID, op ?E_;[(Mcr Zwz co Print "Set pupil diameter = " & pupilDiam m[(_fOd Ozhn`9L+1! 'Update AZ Eye subassembly Description z@J>A![m eID = FindFullName( "Geometry.Arizona Eye" ) K@JaN/OM GetEntity eID, entity [KFCc_: entity.Description = "Accommodation = " & A & "D" ByuBZ!m SetEntity eID, entity RJUIB R8:5N3Fx Update VM:|I~gJ Print "DONE!" kMK0|+ *`|xa@1v` End Sub !yVY[ Z:<an+v|5 如果屈光度是4,光瞳直径是4,则会输出如下数据: Xtfs)" DRR)mQBb Accommodation = 4 Diopters Qclq^|O0 Pupil Diameter = 4 mm %$kd`Rl} Set aqueous humor thickness = 2.81 k0O5c[j Set anterior lens radius = 10.4 and conic constant = -2.375869 a??8)=0|} Set posterior lens radius = -4.424557 and conic constant = -3.081019 UlXxG| Set lens thickness = 3.927 a$h^<D
^ Set lens index of refraction = 1.42672 wPm Set pupil diameter = 4 SE43C %hv DONE! %k32:qe /:Gy . ;gZ/i93:Q QQ:2987619807 utBrH
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