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简介 ;1%-8f:lW >8k_n 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。 _#r+ !e Q36qIq_0e 模型 5]AC*2( mj9 <%P 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。 aqj@Cjk4Z L*&p! Table 1. AZ眼睛模型的定义 (C@m Lu) 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. )N7Y^CN~ uI1q>[ 光源 X*{2[+<o L)@?e?9 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。 7ccO93Mz CF?1R YVHm{A1b0 图1. 光源和提示信息使用 >`A9[`$n 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 Jl#%uU/sx yCVI\y\B 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 s'%R 23RN}LUi 图2. 字母F光源的设定方法光 5N/%v&1 :lf+W 图3. 字母F在视网膜上位置点列图 " @v <Bk 视网膜的散射 B{'( L| Cjc6d4~ 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 ki?S~'a 'VzP}; ;/r1}tl+3> 图4. 视网膜朗伯散射设定 ZWc]$H? 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。 qz0;p=$8Z .J)I | ' +n{#V;J 图5. 视网膜重点采样规格设定 i}.&0Fp 脚本 NbgK@eV}+{ SL#0kc0x 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: }\\KYyjY =kJ,%\E` 图6. 用户对话框的创建与编辑 3?V_BUoON 图7. 用户对话框编辑器 18+)`M-5o 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 a@@)6FM 余下的脚本计算与屈光度有关的所有参数。 Yu)NO\3& GP?M!C,/}k 分析 wr$M$i: bN]+_ mF 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 C8Qa$._ F'4w;-ax 图7. 字母F在视网膜上颜色分析 bpH^:fyLU` 脚本代码 zNxW'?0Z? 8<8:+M} Option Explicit 'Remove this to enable non-dimensioned variables to be used. "Zl5< JBE!j-F Dim entity As T_ENTITY x:),P-~w Dim op As T_OPERATION }<@b=_>S Dim mat As T_MODELMATERIAL S-
pV_Ff Dim A As Double ~<_2WQ/$ Dim pupilDiam As Double HCyv ]LR Dim eID As Long D~hg$XzK Dim parID As Long >7I15U Dim count As Integer &7PG.Ff!r Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double qf!p 9@4F[ Dim tlens As Double, nlens As Double p"n$!ilbm Dim curv As Double, conic As Double $8UUzk Dim ok As Long $Tu61zq 8u6:=fxb Sub Main ^l9N48]|? =e9>FWf> '用户输入对话框 2NC.Z; Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 CG0
M TextBox 220,21,40,21,.TextBox1 'default: 0 g.BdlVB\ Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 Si8pzd OKButton 40,91,90,21 NidIVbT.A CancelButton 190,91,90,21 _F>CBG Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 K@I
D/]PF TextBox 220,49,40,21,.TextBox2 'default: 4 s5CXwM6cx End Dialog {1UQ/_ Dim dlg As UserDialog Y w^m &;^YBW :I ok = Dialog (dlg) \NgYTZ
^
DaBz\ If ok=0 Then 'cancel button was pressed lR )67a Print "Execution cancelled." )bS yB29S End {:6r;TB End If i,>khc j[`j9mM8 'Assign accommodation and pupil diameter & use defaults if field left empty 7gf05Z'= If dlg.TextBox1 = "" Then %zG;Q@ A = 0 'Default accommodation hs^zTZ_ Else 11o.c; A = CDbl(dlg.TextBox1) ]^h]t~ End If 0z1ifg& Xe$ I7iKD If dlg.TextBox2 = "" Then >V-A;S: pupilDiam = 4 'Default pupil diameter 't:;irLW. Else \k .{-nh pupilDiam = CDbl(dlg.TextBox2) pMw*9sX End If dP3CG8w5 );#JL0I Print " " '@o;-'b Print "Accommodation = " & A & " Diopters" |2O]R s Print "Pupil Diameter = " & pupilDiam & " mm" l4F%VR4KT +"rDT1^V ' Calculate new parameters with accommodation tr<Nm6! taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness iW$_zgN J\+0[~~ Rant = 12.0 - 0.4*A 'Radius of anterior lens ((H^2KJn CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens zZL6z4g 3@kf@Vf Rpost = -5.224557 + 0.2*A 'Radius of posterior lens I(i}c~R CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens a=J^ TrlZ9?3#D tlens = 3.767 + 0.04*A 'Lens thickness cz
>V8 ;rF\kX&Jh nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction /sx@$cvW |cK*~ 'Adjust parameters to account for accommodation mk;&yh |,S+@"0# '************************************************************************* 7?#J~.d5 'Aqueous thickness (Position of Lens)
?9!6%]2D '************************************************************************* Nv#t:J9f eID = FindFullName( "Geometry.Arizona Eye.Lens" ) /5S30 |K GetCustomElement eID, entity 9]k @Q_ v[
.cd*b parID = FindFullName( "Geometry.Arizona Eye" ) h{%nC>m; =$u!
59_dE ' Delete any shift(s) in z } df
W%{ count = 0 }q_<_lQ While GetOperationCount(eID)>count PC~Y8,A|.t GetOperation eID, count, op y&6FybIz If op.Type="ShiftZ" Then WffQ :L? DeleteOperation eID,count p*< 0"0 count=count-1 H=<S 9M End If 8m-U){r!U^ count=count+1 g2BHHL;` Wend _dqzB$JV Z/W:97M 'Set new shift in *1uKr9 op.Type = "ShiftZ" o)h_H; op.val1 = taq
CuFSeRe op.parent = parID '.on)Zd. AddOperation eID, op U_Vs.M.p Print "Set aqueous humor thickness = " & taq-0.55 &q3"g*q E%yNa]\P '************************************************************************* @Pm>sY}d<I 'Radius and conic constant of anterior lens N@2dA*T, '************************************************************************* 0]'7_vDs| eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) b LB:MW\% GetConic eID, entity, curv, conic D[4u+g?[}> L5Ebc# SetConic eID, entity, 1/Rant, CCant rV2WnAb[H& Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant L9r8BK; G/k2Pe{SL '************************************************************************* <lgYcdJ 'Radius and conic constant of posterior lens o
m^0}$V '************************************************************************* {o)L c6T8s eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) QiQ_bB!\ GetConic eID, entity, curv, conic ]_Vx{oT7 q_Q/3rh SetConic eID, entity, 1/Rpost, CCpost 4;w;'3zq Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost LzG%Z1` sGi"rg# '************************************************************************* riUwBiVa?2 'Lens thickness (Position of posterior lens surface) ];VA!++ '************************************************************************* {ME2ImD 4-?C> parID = FindFullName( "Geometry.Arizona Eye.Lens" ) lsgh#x 9eGyyZg ' Delete any z-shift(s) o15-ZzE- count = 0 KT_!d * While GetOperationCount(eID)>count &4 {KV. GetOperation eID, count, op )fFb_U If op.Type="ShiftZ" Then |v`AA?@{8 DeleteOperation eID,count Cw
iKi^m count=count-1 $~~Jw] End If Ar%%}Gx/ count=count+1 <C_jF Wend Lco~,OE Ye\rB\- 'Set new z-shift ~,d,#)VE2q op.Type = "ShiftZ" cpe+XvBuK op.val1 = tlens &SIq2>Q A op.parent = parID tGD6AI1"I AddOperation eID, op tnV/xk#! Print "Set lens thickness = " & tlens 8Ry3`ct ++bf#qS<8D '************************************************************************* LSm$dK 'Lens index of refraction J &o|QG '************************************************************************* ",p;Sd eID = FindMaterial( "Lens" ) |+"<wEKI GetModelMaterial eID, mat 1[mXd XQrF4l mat.Nd = nlens _- [''(E SetModelMaterial eID, mat 2n,*Nd` Print "Set lens index of refraction = " & nlens ^Xuvy{TkPH q
VjdOY:z '************************************************************************* wa(8Hl|Y 'Pupil diameter r [9x '************************************************************************* &X`C%h eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) $CxKuB( teOe#* 'Adjust pupil diameter (trimming volume inner hole) ?# Mr T!-\@PB ! SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder"
jPC[_g H;D>|q ' Adjust pupil location to just in front of the lens Av @b!iw+ parID = FindFullName( "Geometry.Arizona Eye" ) CWf /H)~ eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) 5uGqX" count = 0
#c!*</ While GetOperationCount(eID)>count x[4`fM.m* GetOperation eID, count, op NWP5If|'X If op.Type="ShiftZ" Then +y,T4^{ DeleteOperation eID,count E_gD:PPU5 count=count-1 LZ\q37UV End If HvUxsdT count=count+1 Q;MT"=RW Wend `0rd26Qro op.Type = "ShiftZ" Jx_cf9{ op.val1 = taq-0.01 c4!^nk] op.parent = parID g(nPQOs$u AddOperation eID, op TSA,WP\ LU+3{O5y Print "Set pupil diameter = " & pupilDiam <i<J^-W 2:*w~|6>}5 'Update AZ Eye subassembly Description Y4%:7mw~= eID = FindFullName( "Geometry.Arizona Eye" ) Pih tf4i GetEntity eID, entity m9)p-1y@5 entity.Description = "Accommodation = " & A & "D"
7;u
e SetEntity eID, entity `+`Z7 BK*x] zG$ Update .\K_@M Print "DONE!" Twh!X*uQ 909?_v End Sub OL5v).Bb gep;{G} 如果屈光度是4,光瞳直径是4,则会输出如下数据: <
|e,05aM }L
&^xe Accommodation = 4 Diopters W"724fwu& Pupil Diameter = 4 mm .R`5Qds*l Set aqueous humor thickness = 2.81 ai}mOyJs Set anterior lens radius = 10.4 and conic constant = -2.375869 1h(0IjG8 Set posterior lens radius = -4.424557 and conic constant = -3.081019 ?=>+LqP Set lens thickness = 3.927 d^/3('H6 Set lens index of refraction = 1.42672 so^lb?g Set pupil diameter = 4 ,?PTcQF DONE! B!
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