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简介 .",BLuce V+|$H
h8 人眼光学模型可用来设计眼科用设备,光学系统注定了要与人眼一起使用。本文演示了这样一个模型:Arizona眼睛模型,在Jim Schwiegerling教授的书中有详细描述:《Field Guide to Visual and Ophthalmic Optics》。AZ眼睛模型达到了基于平均临床数据所决定的轴上和轴外像差等级。FRED文件包含了此眼睛模型及几个用来分析它的光源,并包括一个基于想要的屈光度来调整模型的内嵌脚本。 Ms%C:KG Vd)
%qw 模型 ZWB3R WdJeh:h 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 `B3YP1 ST0|2)Lh" Table 1. AZ眼睛模型的定义 Dn>C
:YS` 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. 8y?q)y9h @'J~(#} 光源 & )-fC !;k
^ 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 p .~5k ^zG!Z:E sv\=/F@n 图1. 光源和提示信息使用 ~dsx|G?p 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 `RqV\ 6G+ eNFA.*p< 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 W,t`DMC r6:nYyF$)v 图2. 字母F光源的设定方法光 Sc]h^B^7 tKi^0vE8 图3. 字母F在视网膜上位置点列图 D_w<igu!3 视网膜的散射 [Fd[( IPY[x| 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。 &b19s=Z, FlH=Pqc w- wJhc| 图4. 视网膜朗伯散射设定 @]],H0 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。 1eS@ihkP V4g vKWc E3_ 5~> 图5. 视网膜重点采样规格设定 bde6
;=oM 脚本 g*%o%Lv @Y6~;(p 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: AeW_W0j evyA#~o 图6. 用户对话框的创建与编辑 ~?lmkfy 图7. 用户对话框编辑器 pD6a+B\;k 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。 <2w41QZX 余下的脚本计算与屈光度有关的所有参数。 %BkPkQA 7<F{a"5P 分析 `9G1Bd8k fd1z
XK#Z2 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 w 1O) rf2-owWN 图7. 字母F在视网膜上颜色分析 :\#/T,K" 脚本代码 +]#pm9 cvnRd.& Option Explicit 'Remove this to enable non-dimensioned variables to be used. RLF]Wa, @IBU{{ Dim entity As T_ENTITY $Mqw)X&q Dim op As T_OPERATION 'n!Sco)C Dim mat As T_MODELMATERIAL 2{-'`lfM% Dim A As Double !~f!O"n)3r Dim pupilDiam As Double tp +H]H3 Dim eID As Long 4--[.j*W Dim parID As Long fh}j)*K8 Dim count As Integer OQsF$%* Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double AkV8}>G?#A Dim tlens As Double, nlens As Double ^:m7Qd?Z[ Dim curv As Double, conic As Double 2-u9% Dim ok As Long d-$/C| J kM @heFJb. Sub Main B#x.4~YX ?{-y? %y '用户输入对话框 _WHGd&u Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 G9a6 $K)b TextBox 220,21,40,21,.TextBox1 'default: 0 |1"n\4$ Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 kT4Tb%7KM OKButton 40,91,90,21 l=t$XWh! CancelButton 190,91,90,21 M!b"c4|< Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 8u#2M8.5E TextBox 220,49,40,21,.TextBox2 'default: 4 dy2<b+.. End Dialog [5Pin>]z Dim dlg As UserDialog g%f6D%d)A .t|B6n! ok = Dialog (dlg) [NIaWI,> 7
a_99?J If ok=0 Then 'cancel button was pressed Ln5g"g8gb% Print "Execution cancelled." *Nh[T-y(s End SW_jTn#x End If S-KHot ? qEV>$>} 'Assign accommodation and pupil diameter & use defaults if field left empty "~/O>.p If dlg.TextBox1 = "" Then )*n2,n A = 0 'Default accommodation <;nhb Else yMbg1+:
A = CDbl(dlg.TextBox1) nf9NJ_8}4H End If c0u1L@tj 8P3"$2q If dlg.TextBox2 = "" Then ua>YI pupilDiam = 4 'Default pupil diameter M[7$cfp-Y~ Else Y|96K2BR pupilDiam = CDbl(dlg.TextBox2) jz72~+)T End If P+t`Rw lcYjwA Print " " rc+}KO Print "Accommodation = " & A & " Diopters" wW+@3bPl Print "Pupil Diameter = " & pupilDiam & " mm" &)v}oHy,m %?z8*G]M ' Calculate new parameters with accommodation vX/("[ taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness Doc_rQYku IG=# 2 /$ Rant = 12.0 - 0.4*A 'Radius of anterior lens RYuR&0_{ CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens n(tx'&U"R xb~8uD5 Rpost = -5.224557 + 0.2*A 'Radius of posterior lens k]9v${Ke CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens !omf>CW;ud #:LI,t tlens = 3.767 + 0.04*A 'Lens thickness jM!Q
04( W 2.Ap nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction )7s(]~z G"|`&r@ 'Adjust parameters to account for accommodation ]XhX aoqL qz6@'1 '************************************************************************* p]erk 'Aqueous thickness (Position of Lens) 'sT7t&v~ '************************************************************************* &Y3r'" eID = FindFullName( "Geometry.Arizona Eye.Lens" ) {IA3`y~ GetCustomElement eID, entity ap|$8G J_rb3 parID = FindFullName( "Geometry.Arizona Eye" ) 0S71&I$u] s2*~n_B ' Delete any shift(s) in z vkE a[7 count = 0 5Sv;a(} While GetOperationCount(eID)>count WCUaXvw GetOperation eID, count, op Q.Xs%{B If op.Type="ShiftZ" Then j9^V)\6) DeleteOperation eID,count ;G|#i?JJ count=count-1 yHYK,3/C, End If h 1REL^!c count=count+1 >PmnR>x-rj Wend ALXie86a8 V18A|]k 'Set new shift in KIXp+Z op.Type = "ShiftZ" ^bG91"0A op.val1 = taq $@^*lUw op.parent = parID g?E8zf ` AddOperation eID, op @
q:S]YB Print "Set aqueous humor thickness = " & taq-0.55 ~KP@wD~ HP2J`>oo '************************************************************************* X([p0W
9V( 'Radius and conic constant of anterior lens
Ci(c`1av '************************************************************************* IC6r? eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) ^aR^M\38 GetConic eID, entity, curv, conic
BDfJ 9zE/SDu7\ SetConic eID, entity, 1/Rant, CCant x|`BF%e/v Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant r&3EM[*Iw ;:obg/;uJ '************************************************************************* ZgA+$}U)uW 'Radius and conic constant of posterior lens s
a{x.2/o} '************************************************************************* 7A"v:e eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) i62GZeE GetConic eID, entity, curv, conic lsA?|4`mn QERj`/g SetConic eID, entity, 1/Rpost, CCpost ;u;_\k<qK Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost 9 iV_ `G:I|=#w '************************************************************************* U(/8dCyyY 'Lens thickness (Position of posterior lens surface) U%)-_
*`z '************************************************************************* =A{s,UP J_ 7#UjGA, parID = FindFullName( "Geometry.Arizona Eye.Lens" ) Qo\?(EM j:E3c\a ' Delete any z-shift(s) L@"&s#~=3 count = 0
*I.eCMDa While GetOperationCount(eID)>count 46U*70 GetOperation eID, count, op LK+67Y{25 If op.Type="ShiftZ" Then |eI!wgQx DeleteOperation eID,count MSE0z!t count=count-1 XaF;IS@A End If 0K4A0s_R` count=count+1 w@WPp0mny Wend Yk0/f|>O _%G;^ b 'Set new z-shift MdhD "Q op.Type = "ShiftZ" 6TDa#k5v op.val1 = tlens <:4b4Nl op.parent = parID C#n.hgo>I AddOperation eID, op '| p"HbJ Print "Set lens thickness = " & tlens a66Ns7Rb \aN7[>R.Q '************************************************************************* t:"%d9]
'Lens index of refraction [>KnMi=o) '************************************************************************* =q}Z2 OoYh eID = FindMaterial( "Lens" ) ^hcK& GetModelMaterial eID, mat %bS1$
v\n *!pn6OJ"Q} mat.Nd = nlens
Clb7=@f SetModelMaterial eID, mat 57KrDxE} Print "Set lens index of refraction = " & nlens o8Yq3N + /ke[nr '************************************************************************* Qb|@DMq% 'Pupil diameter k$GtzjN '************************************************************************* p'A43 eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) D$+g5u) #v; :K8 'Adjust pupil diameter (trimming volume inner hole) U/-k'6=M <G'M/IR a SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" 45k.U $<| UF$O@l ' Adjust pupil location to just in front of the lens -]t>'Q? parID = FindFullName( "Geometry.Arizona Eye" ) h>F"GR?U_( eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) EQ.K+d*K][ count = 0 a$\Bt_ While GetOperationCount(eID)>count R90#T6^ GetOperation eID, count, op 4'TssRot@h If op.Type="ShiftZ" Then 9h/Hy aN DeleteOperation eID,count gVrfZ&XF84 count=count-1
h_]*|[g End If Ri\\Yb count=count+1 'uF75C Wend SLRF\mh!L op.Type = "ShiftZ" eV~"T2!Sb op.val1 = taq-0.01 yy+:x/(N[ op.parent = parID Km,%p@`m AddOperation eID, op M2\c0^R ^$X|Lq Print "Set pupil diameter = " & pupilDiam B*t1Y<>x P&Uj?et" 'Update AZ Eye subassembly Description m>RtKCtP eID = FindFullName( "Geometry.Arizona Eye" ) GG"6O_ GetEntity eID, entity ZtmaV27s/ entity.Description = "Accommodation = " & A & "D" `F]
SetEntity eID, entity }1%%` YrYmPSb= Update b
0qA Print "DONE!" RB6Q>3g bDm7$ ( End Sub ahQY-%> O8cZl1C3 如果屈光度是4,光瞳直径是4,则会输出如下数据: hiEYIx %~} ,N Accommodation = 4 Diopters ^!x! F Pupil Diameter = 4 mm 3y,2RernK Set aqueous humor thickness = 2.81 m'N8[ o|h Set anterior lens radius = 10.4 and conic constant = -2.375869 )iZU\2L Set posterior lens radius = -4.424557 and conic constant = -3.081019 i"xV=. Set lens thickness = 3.927 R>]7l!3^1 Set lens index of refraction = 1.42672 |f/Uzd ~ Set pupil diameter = 4 y/:%S2za> DONE! bWSc&/9y dPbn[*: Fq_>}k@fI QQ:2987619807 ;9~
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