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简介 \IQP`JR "HR
&Rf k 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。 wL 5p0Xl ilv6A9/ 模型 SJVqfi3A DBi3 j 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。 Rs;,_ Tr}@fa Table 1. AZ眼睛模型的定义 g5TXs^g 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. [|~X~AO% ~S Js2-2 光源 1 'EMYQ wxPg*R+t 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。 .a:Oj3=0 st36xS IsO'aFK)ln 图1. 光源和提示信息使用 %>cc%(POO 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。 g#=^U`y 'w.:I
TJf 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。 /= P!9d
{ ?,|_<'$4T 图2. 字母F光源的设定方法光 {rOz[E9vm GpF, =: 图3. 字母F在视网膜上位置点列图 C78d29 视网膜的散射 LJZEM;;} Dbyy H_ 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 kYs2AzS{d V]}/e!XK\ Z.m.Uyz{7 图4. 视网膜朗伯散射设定 Jg
k@ti.}Z 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 e,I-u'mLQs M 0-> DC*|tHl 图5. 视网膜重点采样规格设定 ]8YHA}P 脚本 >T~{_|N ~C=`yj 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: c#9 zw[y-L `Y.RAw5LrE 图6. 用户对话框的创建与编辑 Q}]:lmqH 图7. 用户对话框编辑器 O\OG~`HBN 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 2ok>z$Y 余下的脚本计算与屈光度有关的所有参数。 {b/60xl? @]*z!>1 分析 aqs'] ZH:#~Zyj 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 R|NmkqTK~( 7"4|`y^# 图7. 字母F在视网膜上颜色分析 +cy(}Vp 脚本代码 /[nt=#+
>E"FoZM= Option Explicit 'Remove this to enable non-dimensioned variables to be used. 9>@_};l
=sG(l Dim entity As T_ENTITY \/K>Iv'$ Dim op As T_OPERATION ~`tc|Zu Dim mat As T_MODELMATERIAL ? dSrY Dim A As Double mMT7`r;l Dim pupilDiam As Double :CHCVoh@95 Dim eID As Long [W{`L_" Dim parID As Long =]W{u` Dim count As Integer >&?wo{b Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double AH=6xtS- Dim tlens As Double, nlens As Double u#=N8 Dim curv As Double, conic As Double Kt}dTpVFr Dim ok As Long >)N,V;j Y/Y746I Sub Main P'ZWAxd _Zf1=&U#/ '用户输入对话框 %I Y-0\ Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 o}WbW }& TextBox 220,21,40,21,.TextBox1 'default: 0 ew?UHV Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 k~=-o>}C OKButton 40,91,90,21 x6Z$lhZ CancelButton 190,91,90,21 ]iLfe&f Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 Vg[U4, TextBox 220,49,40,21,.TextBox2 'default: 4 {AIZ, End Dialog (nda!^f_s Dim dlg As UserDialog (2qo9j"j/Y
mH?^3T ok = Dialog (dlg) o'Tqqrr !2&h=;i~V If ok=0 Then 'cancel button was pressed ?wwY8e?S Print "Execution cancelled." ?Cu#( End vgE5(fJh End If PVEEKKJP]J >b*Pd
*f 'Assign accommodation and pupil diameter & use defaults if field left empty $ a5K If dlg.TextBox1 = "" Then )sNtwSl^ A = 0 'Default accommodation $$qhX]^~ Else h r6f}2 A = CDbl(dlg.TextBox1) M5) 6|T End If Nt/*VYUn Ti' GSL If dlg.TextBox2 = "" Then :syR4A WM pupilDiam = 4 'Default pupil diameter >{GC@Cw Else ?# G_& pupilDiam = CDbl(dlg.TextBox2) |u;5|i End If =}c~BHT TvdmgVNP Print " " SxT:k,ji Print "Accommodation = " & A & " Diopters" pbm4C0W} Print "Pupil Diameter = " & pupilDiam & " mm" 'w9tZO\2 o~GhV4vq ' Calculate new parameters with accommodation 5gJQr%pS taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness 23+GX&Rp .-Ao%A W Rant = 12.0 - 0.4*A 'Radius of anterior lens CB|z{(&N CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens _&w!JzpXT (4c<0<"$ Rpost = -5.224557 + 0.2*A 'Radius of posterior lens >/'WU79TYE CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens 'mmyzsQ\6 g?@(+\W tlens = 3.767 + 0.04*A 'Lens thickness QCtG #/ -@#AQ\ nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction lXz<jt@5 R`$Odplh> 'Adjust parameters to account for accommodation
,:z@Ji bq
~'jg^# '************************************************************************* e dD(s5 'Aqueous thickness (Position of Lens) ((?^B
'************************************************************************* DTr0u}m eID = FindFullName( "Geometry.Arizona Eye.Lens" ) Y,&)%Eo< GetCustomElement eID, entity H-UMsT=g] 1^$Io}o:S parID = FindFullName( "Geometry.Arizona Eye" ) ZGp8$Y>r D@j `'&G ' Delete any shift(s) in z ;2X1 qw> count = 0 t~bjD V^` While GetOperationCount(eID)>count m$O@+;>l GetOperation eID, count, op (cCB3n\20 If op.Type="ShiftZ" Then TAGqRYgi DeleteOperation eID,count LL,~&5{ count=count-1 p$"*U[%l End If ~^3B(feQ]
count=count+1 FNm8j#c~Q Wend EI f~>AI dB1bf2'b# 'Set new shift in 'vCFT(C- op.Type = "ShiftZ" M=!x0V ; op.val1 = taq 0c`wJktWK op.parent = parID ~i(*.Z)
\ AddOperation eID, op _|s{G Print "Set aqueous humor thickness = " & taq-0.55 3[ Z? `X I=lA7} '************************************************************************* ;>Kxl}+R 'Radius and conic constant of anterior lens f:BW{Cij;y '************************************************************************* lual'~ eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) Zo&U3b{Dy GetConic eID, entity, curv, conic CP={|]>+S Li7/pUq>}! SetConic eID, entity, 1/Rant, CCant Q04N Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant 5qFqH &d~6MSk '************************************************************************* 9RAN$\AKy 'Radius and conic constant of posterior lens M\T6cN@m '************************************************************************* Z/2#h<zj eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) 0gnr@9,X GetConic eID, entity, curv, conic 7ZJYT#>b X+hyUz(%R SetConic eID, entity, 1/Rpost, CCpost Y%Saz+ Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost o{ U=
f6 $)PNf'5Zg '************************************************************************* %7hYl'83 'Lens thickness (Position of posterior lens surface) *DU86JL` '************************************************************************* t/nu/yz5E XV!P8n parID = FindFullName( "Geometry.Arizona Eye.Lens" ) a}=)b#T` ON!1lS ' Delete any z-shift(s) 'Z;R!@Dm count = 0 zR]l2zL3 While GetOperationCount(eID)>count (Kx3:gs GetOperation eID, count, op jagsV'o2 If op.Type="ShiftZ" Then
1vQ*Br DeleteOperation eID,count ,.DU)Wi?} count=count-1 t*n!kXa End If Wny{qj)= count=count+1 V<(cW'zA/ Wend Z(CzU{7c ?L7z\b"_~ 'Set new z-shift Vbz$dpT op.Type = "ShiftZ" KZ&8aulP op.val1 = tlens ^F_c' op.parent = parID %m{h1UQQ+ AddOperation eID, op gX]?`u Print "Set lens thickness = " & tlens [_CIN 3M/kfy '************************************************************************* 4R}2H>VV% 'Lens index of refraction (LQ*U3J]_ '************************************************************************* i?||R|>;"' eID = FindMaterial( "Lens" ) h\:"k_u# GetModelMaterial eID, mat 0(HUy`]> Sh=z mat.Nd = nlens j#.Aiy:, SetModelMaterial eID, mat 3-z57f,}6~ Print "Set lens index of refraction = " & nlens /2WGo- UG 9uNgzQ/ '************************************************************************* l2z@t3{ 'Pupil diameter }zj_Pp '************************************************************************* Un@d Wf6' eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 5_0Eh!sx Np+<)q2 'Adjust pupil diameter (trimming volume inner hole) THkg,*;: ioz4kG! SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" CKy' 8I9 HZ )z^K?1 ' Adjust pupil location to just in front of the lens RQ!kVM@ parID = FindFullName( "Geometry.Arizona Eye" ) MBp%TX! eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) ;",W&HQbE count = 0 2w+w'Ag_R While GetOperationCount(eID)>count xrf z-"n4 GetOperation eID, count, op 1F{c5 If op.Type="ShiftZ" Then Qw}uB$S> DeleteOperation eID,count ?s6v>#H% count=count-1 ^e1@o\] End If Rcc9Tx(zvQ count=count+1 -LhO
</l Wend b<n*wH op.Type = "ShiftZ" 3fM8W>
*7 op.val1 = taq-0.01 Uyj6Ij_Pj) op.parent = parID *%E4,(T AddOperation eID, op _h6SW2:z!E e
^2n58 Print "Set pupil diameter = " & pupilDiam `-/-(v+ i ]{s0/(EA 'Update AZ Eye subassembly Description "m4._4U eID = FindFullName( "Geometry.Arizona Eye" ) 0*]n#+= GetEntity eID, entity &N:Iirg entity.Description = "Accommodation = " & A & "D" kUGOkSP8[ SetEntity eID, entity ^CO{86V J2adG+= Update kOdXbw9v Print "DONE!" 1-0tG+ !K*(# [ End Sub ``4e& y)vK=," 如果屈光度是4,光瞳直径是4,则会输出如下数据: 0Un?[O \Kr8k`f Accommodation = 4 Diopters 4P jC[A* Pupil Diameter = 4 mm i'V(" Set aqueous humor thickness = 2.81 2[j(C
Set anterior lens radius = 10.4 and conic constant = -2.375869 mX 3p Set posterior lens radius = -4.424557 and conic constant = -3.081019 Znr@-=xZO* Set lens thickness = 3.927 +`,;tz=? Set lens index of refraction = 1.42672 :^7>kJ5? Set pupil diameter = 4 hh8Grl; DONE! xP4}LL9) ;NU-\<Q{ @,Z0u2WLl6 QQ:2987619807 .DNPL5[v
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