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简介 P,"z 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。 +a&-'`7g DA
oOs}D 模型 fB5Bh;K h2Ifq!(: 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。 <69/ZI),Y{ x5m
.MQ J Table 1. AZ眼睛模型的定义 u[U~`*i*rA 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. L%a ni}V ->}K- n ), 光源 .2hQ!)+ `n:IXD5' 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。 V/+r"le )_T[thf] RR:m<9l 图1. 光源和提示信息使用
9`^VuC' 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。 +asJV1a xIF
z@9+k 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。 ]Bs ? %^"T z,f 图2. 字母F光源的设定方法光 ?ZSG4La\ Be2@9 图3. 字母F在视网膜上位置点列图 QB@qzgEJ!, 视网膜的散射 w2~(/RgO _]tR1T5e 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。 ,ewg3mYHC& *|Re,cY kTex>1W; 图4. 视网膜朗伯散射设定 6mEW*qp2F 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。 UL[4sv6\9 C[rYVa
. z$-/yT"M 图5. 视网膜重点采样规格设定 ^lu)'z%6 脚本 hzPx8sO Xr M[8a 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: yQhrPw> m ;ijJ%/ 图6. 用户对话框的创建与编辑 @V]
Wm1g 图7. 用户对话框编辑器 5S$HDO& 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。 {H $\, 余下的脚本计算与屈光度有关的所有参数。 8Mg4y1)RU ;lX:EU 分析 v! @/ Q|gun} 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 %8$JL=c R^](X* 图7. 字母F在视网膜上颜色分析 ]rn!+z 脚本代码 ynM{hN.+ H 5vbnO]8 Option Explicit 'Remove this to enable non-dimensioned variables to be used. K;6K!6J:[ "MC&!AMv Dim entity As T_ENTITY ' QT(TF> Dim op As T_OPERATION qvYYKu Dim mat As T_MODELMATERIAL M=o,Sav5* Dim A As Double 9aZ3W<N`M Dim pupilDiam As Double j\dkv_L Dim eID As Long rxa"ji!) Dim parID As Long ![abDT5![ Dim count As Integer
{yt]7^ Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double r.i.w0B( Dim tlens As Double, nlens As Double 5B2x#
m|8 Dim curv As Double, conic As Double AV d Dim ok As Long )r?i^D&4 jI;bVG
Sub Main |,sUD/rt mu"]B] '用户输入对话框 nZ\,ZqV Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 d*A >P TextBox 220,21,40,21,.TextBox1 'default: 0 U%k e5uwP Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 K/\#FJno OKButton 40,91,90,21 }%k"qW<Y CancelButton 190,91,90,21 yH#;k:O= Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 ~O1*] TextBox 220,49,40,21,.TextBox2 'default: 4 a
_ End Dialog 5)$U<^uy Dim dlg As UserDialog @/$mZ]|T _"0n.JQg ok = Dialog (dlg) xo@N~ Z7.)[
; If ok=0 Then 'cancel button was pressed /mD KQ< Print "Execution cancelled." n;Iey[7_E` End RTY$oUqlZ End If !+hX$_RT _a<PUdP 'Assign accommodation and pupil diameter & use defaults if field left empty LG<lZ9+y If dlg.TextBox1 = "" Then B. P64"w A = 0 'Default accommodation -|)[s[T~m Else W^=89I4] A = CDbl(dlg.TextBox1) $}KYpSV End If 4uftx1o
t91CxZQ^s If dlg.TextBox2 = "" Then `=KrV#/758 pupilDiam = 4 'Default pupil diameter v$tS2N2 Else HqF8:z?v pupilDiam = CDbl(dlg.TextBox2) A+F-r_]}db End If ~ml\|
gA[M Print " " ]#:xl}'LS Print "Accommodation = " & A & " Diopters" _-!6@^+ Print "Pupil Diameter = " & pupilDiam & " mm"
E,6E-9 l&|{uk ' Calculate new parameters with accommodation "V^jAPDXb taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness XdS<51 C bZG$ biq Rant = 12.0 - 0.4*A 'Radius of anterior lens "mH^Owai CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens F_r eBPx kcOpO<oE Rpost = -5.224557 + 0.2*A 'Radius of posterior lens ^|K*lI/ CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens ffB]4 n9J>yud| tlens = 3.767 + 0.04*A 'Lens thickness _:K}DU'6 >b$<lo nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction <bjy<98LT hy]AH)?pR 'Adjust parameters to account for accommodation /Z@.;M *ap#*}r!Nk '************************************************************************* z::2O/ho 'Aqueous thickness (Position of Lens) 4dok/ +Ec '************************************************************************* .XE]vo eID = FindFullName( "Geometry.Arizona Eye.Lens" ) (,TO| GetCustomElement eID, entity PA=BNKlH \c\=S parID = FindFullName( "Geometry.Arizona Eye" ) aLq;a y@Or2bO# ' Delete any shift(s) in z 5 O6MI4: count = 0 LtU+w*Gj While GetOperationCount(eID)>count h/k`+ GetOperation eID, count, op X@G`AD'.M If op.Type="ShiftZ" Then jFc{$#g- DeleteOperation eID,count s-ou ;S3s count=count-1 l
)4OV> End If a;zcAeX count=count+1 V&nN/CF Wend Cn<kl^!Q- k^]~NP 'Set new shift in tp]|/cx4 op.Type = "ShiftZ" C;ye%&g> op.val1 = taq MDq @:t op.parent = parID 4<Y?#bm' AddOperation eID, op *,pqpD> Print "Set aqueous humor thickness = " & taq-0.55 x V e! \[&]kPcDl '************************************************************************* Ygl!fC
4b 'Radius and conic constant of anterior lens F)IP~BE-k '************************************************************************* 9e5UTJ eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) `otQ'e~+t GetConic eID, entity, curv, conic f1{ckHAY55 8B+uNN~%] SetConic eID, entity, 1/Rant, CCant k);!H + Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant )?WoLEjq ;$i'A&)OC '************************************************************************* *+z({S_Nv 'Radius and conic constant of posterior lens x'qgpG}?] '************************************************************************* O?!"15 eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) ep!.kA=\ GetConic eID, entity, curv, conic <gy'@w? z)B=<4r SetConic eID, entity, 1/Rpost, CCpost ^PI49iB Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost ]3C8 Qi61(lK '************************************************************************* .<B1i 'Lens thickness (Position of posterior lens surface) e'Pa@]VaC '************************************************************************* i&$uG[&P 8f.La parID = FindFullName( "Geometry.Arizona Eye.Lens" )
ZS+2.)A f/x "yUq ' Delete any z-shift(s) {V8Pn2mlo count = 0 ?2TH("hV$ While GetOperationCount(eID)>count 2&m7pcls GetOperation eID, count, op Z:_y,( 1Q If op.Type="ShiftZ" Then [oj"Tn( DeleteOperation eID,count f+V':qz count=count-1 :9b RuUm End If =-qsz^^a- count=count+1 qo;\dp1 Wend )R4<*
/C:w )YFs 'Set new z-shift Xd6y7s op.Type = "ShiftZ" Y"qY@` op.val1 = tlens J.nq[/Q= op.parent = parID q1y4B` AddOperation eID, op v(i Uo&Ge Print "Set lens thickness = " & tlens <B`V hgK=fHJk '************************************************************************* Q6K)EwN 'Lens index of refraction o1Ln7r. '************************************************************************* ZAZCvN@5 eID = FindMaterial( "Lens" ) 2XHk}M| GetModelMaterial eID, mat R5"p7> G$ FBx mat.Nd = nlens o3=kF SetModelMaterial eID, mat 0, /x# Print "Set lens index of refraction = " & nlens .a*$WGb <Xx\F56zp '************************************************************************* Pc'?p 'Pupil diameter Bv8C_-lV/ '************************************************************************* ''uI+>Y eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) m+vEs,W. h86={@Le 'Adjust pupil diameter (trimming volume inner hole) b U NYTF{ =]e^8;e9 SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder"
y6}):| lWvd"Vlt ' Adjust pupil location to just in front of the lens gf?^yP ;V parID = FindFullName( "Geometry.Arizona Eye" ) 5>)jNtZ eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) lIg2iun[n count = 0 dU6LB+A While GetOperationCount(eID)>count @
WaYU GetOperation eID, count, op AvZ) 1( If op.Type="ShiftZ" Then or}*tSKX DeleteOperation eID,count e-9unnk count=count-1 G:`Jrh End If Bq@wS\W>b} count=count+1 070IBAk}_ Wend G4' U; op.Type = "ShiftZ" 1i:g
/H op.val1 = taq-0.01 +o]BjgG op.parent = parID 'hO;sL AddOperation eID, op ?bAFYF0!I 1 ],,
Ar5 Print "Set pupil diameter = " & pupilDiam acQNpT \_nmfTr!K 'Update AZ Eye subassembly Description 8"mW!M eID = FindFullName( "Geometry.Arizona Eye" ) .A)Un/k7 GetEntity eID, entity dM{~Ubb entity.Description = "Accommodation = " & A & "D" ;bZ*6-\!- SetEntity eID, entity /v4S@SQ+ j#t8Krd] " Update xY2_*#{. Print "DONE!" ?i2Wst bs EpET End Sub o!`O
i5 +<9
eN 如果屈光度是4,光瞳直径是4,则会输出如下数据: Ir"Q%>K0f ih |Ky+ ! Accommodation = 4 Diopters Uy5 !H1u Pupil Diameter = 4 mm ~h0BT(p/ Set aqueous humor thickness = 2.81 lk1Gs{(qhH Set anterior lens radius = 10.4 and conic constant = -2.375869 'h>5&=r Set posterior lens radius = -4.424557 and conic constant = -3.081019 cuaNAJ Set lens thickness = 3.927 9,f<Nb(\ Set lens index of refraction = 1.42672 'QojSq
Set pupil diameter = 4 Y{vwOs DONE! Q4Fq=kTE 1] Q2qs (文章来源:讯技光电)
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