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简介 Xy%||\P{) PJ;WNo8 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。 HHZw-/s,% 4b[bj").A 模型 kc0MQ TJU <$yA* 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 @I-,5F|r M 9-Q Table 1. AZ眼睛模型的定义 Yb^e7Eug 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. #2s}s<Sc; .Sn{a}XP4 光源 Zj!,3{jX^ V]; i$ 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。 ;&n iZKoe =y-yHRC7 E&
.^|<n 图1. 光源和提示信息使用 \#(1IC`as 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。 J/jkb3 qF4tjza;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。 (_|*&au J ]7 Du/)$ 图2. 字母F光源的设定方法光 C{}PO u |YsR;=6wT 图3. 字母F在视网膜上位置点列图 ;YR/7 视网膜的散射 [:.wCG5 'x{oAtCP9 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。 e2v`
J/'Fj? OA*O = 图4. 视网膜朗伯散射设定 W]#w4Fp! 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。 u+Ix''Fn#% 2=- .@,6 ~;3#MAG 图5. 视网膜重点采样规格设定 BW7AjtxQ& 脚本 h\UKm|BZ m{Vd3{H40 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: 72d|Jbd !Z tqh Xr 图6. 用户对话框的创建与编辑 aaig1#a@1b 图7. 用户对话框编辑器 z'm}p 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。 !h4T3sO 余下的脚本计算与屈光度有关的所有参数。 o[cOL^Xd1 zawu(3?~)5 分析 jcJ 4? D#L(ZlD4 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 $uHQl#!; GZ~Tl0U 图7. 字母F在视网膜上颜色分析
-DdHl8 脚本代码 6&os`! a$|U4Eqo Option Explicit 'Remove this to enable non-dimensioned variables to be used. p/-du^:2 EjLq&QR. Dim entity As T_ENTITY n#g_)\ Dim op As T_OPERATION Q"dq_8\`U Dim mat As T_MODELMATERIAL V?j,$LixY Dim A As Double yuZLsH Dim pupilDiam As Double UqI #F Dim eID As Long (M$0'BV0 Dim parID As Long !CUl1L1DSi Dim count As Integer L]H'$~xx* Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double [*^.$s( Dim tlens As Double, nlens As Double &N^~=y^`C' Dim curv As Double, conic As Double 2.aCo, Kb; Dim ok As Long >`0U2K o6MFMA+vi Sub Main %PYO9:n @4*:qj? '用户输入对话框 KAClV%jP Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 4C =W~6~ TextBox 220,21,40,21,.TextBox1 'default: 0 Uw("+[ 5O0 Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 LZn'+{\` OKButton 40,91,90,21 LG&BWs! CancelButton 190,91,90,21 TI DgIK Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 Ab ,^y TextBox 220,49,40,21,.TextBox2 'default: 4 RqTO3Kf End Dialog wnokP Dim dlg As UserDialog 8X7??f1;Y ~pRgTXbz ok = Dialog (dlg) |T6K?:U7 { KWVPeh If ok=0 Then 'cancel button was pressed A4tk</A Print "Execution cancelled." wtek5C^ End !G3AD3 End If @q'kKVJs ?$6H',u 'Assign accommodation and pupil diameter & use defaults if field left empty ;\*3A22 # If dlg.TextBox1 = "" Then 9~Dg<wQ A = 0 'Default accommodation tVRN3fJH Else ,/w*sE A = CDbl(dlg.TextBox1) .rtA sbp.! End If
8z1z<\ 7.h{"xOx{ If dlg.TextBox2 = "" Then G]=z
![$ pupilDiam = 4 'Default pupil diameter P$ o bID Else C#U(POA pupilDiam = CDbl(dlg.TextBox2) ",b:rgpRp End If bgorW"' m;dwt1'Zw Print " " ln82pQD2Y~ Print "Accommodation = " & A & " Diopters" .gJ2P?
Print "Pupil Diameter = " & pupilDiam & " mm" 3s%?)z ""-wM~^D ' Calculate new parameters with accommodation 0VNLhM(LM taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness dTg`z,^F [
\_o_W Rant = 12.0 - 0.4*A 'Radius of anterior lens TwkT|Piw
S CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens DO:,PZX |R9Lben', Rpost = -5.224557 + 0.2*A 'Radius of posterior lens 0#]fEi CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens n-ffX*zA( Pzso^^g tlens = 3.767 + 0.04*A 'Lens thickness [e+Y7M7 C^)Imr nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction 8S1@,O, x4^nT=?6_ 'Adjust parameters to account for accommodation 6|jZv~rS$ .#yg=t1C '************************************************************************* {zb'Z Yz 'Aqueous thickness (Position of Lens) ]UvB+M]Lv) '************************************************************************* XKjrS
9: eID = FindFullName( "Geometry.Arizona Eye.Lens" ) -8n1y[ GetCustomElement eID, entity _<S!tW dOeM0_o parID = FindFullName( "Geometry.Arizona Eye" ) rt+4-WuK> 7H3v[ f^Q ' Delete any shift(s) in z OXQ*Xpc count = 0 $wUYK%. While GetOperationCount(eID)>count J p=qPG| GetOperation eID, count, op *I]]Ogpq= If op.Type="ShiftZ" Then G)7U&B DeleteOperation eID,count VExhN'; count=count-1 jSem/; End If XJ<"S
p count=count+1 0/Q_%
: Wend dtR"5TL<~} SxRJ{m~ 'Set new shift in &BPYlfB1 op.Type = "ShiftZ" VIp|U{ op.val1 = taq gQ\.|'% op.parent = parID A^OwT#
AddOperation eID, op |}G"^r Print "Set aqueous humor thickness = " & taq-0.55 .RxT z9( ahl|N` '************************************************************************* %>
XsKXj 'Radius and conic constant of anterior lens $nE{%?n-# '************************************************************************* wsQnjT> eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) 9+1{a.JO GetConic eID, entity, curv, conic 8T3,56> [\ao#f0WR SetConic eID, entity, 1/Rant, CCant {"wF;*U.V Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant 5eTA] tyR?A>F4 '************************************************************************* AIHH@z 'Radius and conic constant of posterior lens -N' (2' '************************************************************************* KTm^}')C8 eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) M}|(:o3Yo GetConic eID, entity, curv, conic #z(:n5$F 1TZ[i SetConic eID, entity, 1/Rpost, CCpost m^ xTV-#l@ Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost gNZwD6GMe? nd'D0<% '************************************************************************* M1Q&)am 'Lens thickness (Position of posterior lens surface) ]ae(t`\l^ '************************************************************************* fV"Y/9}( Wg}KQ6
6 parID = FindFullName( "Geometry.Arizona Eye.Lens" ) p cLKE
ZK f+:iz'b#U ' Delete any z-shift(s) [E9iuym count = 0 fJLl-H While GetOperationCount(eID)>count #ZZe*B!s_ GetOperation eID, count, op `:C1Wo^< If op.Type="ShiftZ" Then j3sz"( DeleteOperation eID,count \m7\}Nbz0/ count=count-1 &;$uU End If ;u2[Ww~k count=count+1 k4sV6f Wend ,l&?%H9q !td!">r46e 'Set new z-shift 0ca0-vY op.Type = "ShiftZ" I$"Z\c8; op.val1 = tlens SWdmej[ op.parent = parID :%gc Sm AddOperation eID, op ;2kQ)Bq" Print "Set lens thickness = " & tlens ika*w ,ojJ;w5D '************************************************************************* oywPPVxj 'Lens index of refraction +`F(wk["m '************************************************************************* "r6qFxY eID = FindMaterial( "Lens" ) 1sXCu|\q GetModelMaterial eID, mat U.TZd" :cA P{rSe mat.Nd = nlens !>Nlp,r&~ SetModelMaterial eID, mat .w4|$.H Print "Set lens index of refraction = " & nlens @ 51!3jeu CAc]SxLh '************************************************************************* 9'(_*KSH 'Pupil diameter ho>@ $9 '************************************************************************* /o4_rzR? eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) n~0wq(8M `*U@d%a 'Adjust pupil diameter (trimming volume inner hole) ]{tWfv|Xg8 bm;iX*~ SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" O+-+=W <);j5)/ ' Adjust pupil location to just in front of the lens 0@_8JB ?E parID = FindFullName( "Geometry.Arizona Eye" ) N~|f^#L eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) *$7^.eHfdd count = 0 :awa While GetOperationCount(eID)>count TY]0aw2]|7 GetOperation eID, count, op \B')2phE If op.Type="ShiftZ" Then g(P7CX+y DeleteOperation eID,count }<G
ae5 count=count-1 "pt[Nm76)8 End If |e8A)xM]wC count=count+1 }'<Z&NW6 Wend $idToOkw op.Type = "ShiftZ" -F`gRAr- op.val1 = taq-0.01 E`N` op.parent = parID
Gh_5$@ hF AddOperation eID, op Rs<S}oeLn 9@t&jznt< Print "Set pupil diameter = " & pupilDiam oxFd@WV5 ]>)}xfL &, 'Update AZ Eye subassembly Description .NdsKhg
b eID = FindFullName( "Geometry.Arizona Eye" ) CMC p7-v GetEntity eID, entity a3A-N] ;f entity.Description = "Accommodation = " & A & "D" 8k{XUn SetEntity eID, entity Q-,
4 '5$: #|- Update 1mgw0QO Print "DONE!" <> =(BAw g?1bEOA! End Sub :TrP3wV_ KXTk.\c 如果屈光度是4,光瞳直径是4,则会输出如下数据: (QFZM"G ^p4`o> Accommodation = 4 Diopters >CCy2W^W Pupil Diameter = 4 mm XPYf1H Set aqueous humor thickness = 2.81 PJb/tKC Set anterior lens radius = 10.4 and conic constant = -2.375869 |{MFo) Set posterior lens radius = -4.424557 and conic constant = -3.081019 O0^Y1l Set lens thickness = 3.927 H{P*d=9v Set lens index of refraction = 1.42672 &}gH!5L m Set pupil diameter = 4 [HXd|,~_j- DONE! '(ETXQ@ Q-_;.xy#4 {w>ofyqfp& QQ:2987619807 s/?(G L+Ae
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