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简介 8C1 ' g7A< 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。 Fp52|w_ bM[!E 8dF 模型 [EUp4%Z # Te=[tx~x 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。 z DDvXz ;Z%PBMa Table 1. AZ眼睛模型的定义 +cS%b}O`$ 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. R4+Gmx1 xxWrSl`fB 光源 PMER~}^ g.![>?2$8 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 egcJ@Of
*k)v#;B Id`?yt 图1. 光源和提示信息使用 [J4
Aig 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 6( 1xU\x VJ1(|v{D4[ 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 LgN\%5f- 2
MFGKz O 图2. 字母F光源的设定方法光 Sn 3@+9J sU>!sxW 图3. 字母F在视网膜上位置点列图 a%f?OsY 视网膜的散射 oNV5su A#&Q(g\YE 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 ?U~}uG^ @Y2"=QVt n^OWz4 图4. 视网膜朗伯散射设定 3fC|}<Wzt 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 dxm_AUM .O9A[s< ;DWtCtD 图5. 视网膜重点采样规格设定 S,&tKDJn 脚本 c-S_{~~ rN3i5.*/t 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: 0fc]RkHs" 4
I}xygV 图6. 用户对话框的创建与编辑 E8]PV,#xY 图7. 用户对话框编辑器 nsChNwPX 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 =X6+}YQ" 余下的脚本计算与屈光度有关的所有参数。 hR;J#w YLc 2:9 分析 7/c[ f /rRQ*m_ 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 )u{)"m`&[J \VW&z:/*pZ 图7. 字母F在视网膜上颜色分析 8 jom)a 脚本代码 gemjLuf 9A]XuPAlh Option Explicit 'Remove this to enable non-dimensioned variables to be used. qK
,mG{ (`0dO8 Dim entity As T_ENTITY #L\t)W Dim op As T_OPERATION IT \Pj_ Dim mat As T_MODELMATERIAL 6`LC(Nv%-n Dim A As Double H*U\P 2C!) Dim pupilDiam As Double W!a~ #R/r- Dim eID As Long *|c*/7]< Dim parID As Long #A|~s;s>N Dim count As Integer ~<0!sE&y Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double 7h?yAgDv~ Dim tlens As Double, nlens As Double -"L)<J@gQ? Dim curv As Double, conic As Double %I]?xe6 Dim ok As Long f3h&K}x \Yv<TzJ9 Sub Main hv xvwV1 @a.Y9;O '用户输入对话框 \!8`kC Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 y%T5"p$, TextBox 220,21,40,21,.TextBox1 'default: 0 :j/PtNT@ Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 J90q\_dY. OKButton 40,91,90,21 ],r?]> CancelButton 190,91,90,21
b@J&jE~d Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 *b"(r|Ko TextBox 220,49,40,21,.TextBox2 'default: 4 )Qve[O End Dialog UXB[3SP Dim dlg As UserDialog qlUYu"`i Qi^MfHW ok = Dialog (dlg) [c?']<f4 0D1yG(ck If ok=0 Then 'cancel button was pressed Xq&x<td Print "Execution cancelled." YBgHX [q End 4+mawyM End If nbYkr*: "t Fi{~UOZg 'Assign accommodation and pupil diameter & use defaults if field left empty ~Z5?\a2Ld If dlg.TextBox1 = "" Then ;??wLNdf- A = 0 'Default accommodation
uh`@ qmu) Else hoASrj{s A = CDbl(dlg.TextBox1) n5_r
3{ End If JH!qGV1 ;%
*e}w0 If dlg.TextBox2 = "" Then v>Il# pupilDiam = 4 'Default pupil diameter >Uvtsj# Else [~)i<V|qJ pupilDiam = CDbl(dlg.TextBox2) 3nBbPP_ End If iUh_rX9A" 5|1&s3/f Print " " z)5n&w
S Print "Accommodation = " & A & " Diopters" {Ny\9r Print "Pupil Diameter = " & pupilDiam & " mm"
1W;3pN ~c!zTe ' Calculate new parameters with accommodation uVqJl{e\ taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness xiU-}H'o @6GM)N\{[ Rant = 12.0 - 0.4*A 'Radius of anterior lens 1$idF CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens UQ>GAzh bWv6gOPR3 Rpost = -5.224557 + 0.2*A 'Radius of posterior lens -mZo` CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens 8 Oeg"d CTtF=\ tlens = 3.767 + 0.04*A 'Lens thickness h`%K\C L&ws[8- nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction &RXd1>|c2 M@Q=!!tQ( 'Adjust parameters to account for accommodation 6K P!o )T#;1qNB '************************************************************************* U6X~]| o 'Aqueous thickness (Position of Lens) nx=#QLi '************************************************************************* l{#m"S7J^ eID = FindFullName( "Geometry.Arizona Eye.Lens" ) w;QDQ
fx0 GetCustomElement eID, entity h.
i&[RnX `ea$`2 parID = FindFullName( "Geometry.Arizona Eye" ) 3HbHl?-UNU N l_!%k: ' Delete any shift(s) in z ~1Tz[\H#R count = 0 p"H8;fPA0 While GetOperationCount(eID)>count 2x e_Q70II GetOperation eID, count, op Beqhe\{ If op.Type="ShiftZ" Then d5A!kU _. DeleteOperation eID,count zx-+u7qKH count=count-1 .EloBP End If *U54x
/w| count=count+1 SX^fh. Wend 5F2+o#*h d(wqKiGwe 'Set new shift in ejo4mQ]a op.Type = "ShiftZ" *"fg@B5 op.val1 = taq . F#mT h op.parent = parID d?N"NqaN AddOperation eID, op Pms3X Print "Set aqueous humor thickness = " & taq-0.55 _$ixE~w-! Ynz^M{9)K '************************************************************************* ? |8&!F 'Radius and conic constant of anterior lens bwVv#Z\r '************************************************************************* GJO/']k eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) 6j"(/X|Ex5 GetConic eID, entity, curv, conic ?qO,=ms>- + {hxEDz SetConic eID, entity, 1/Rant, CCant =_":Z!_ Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant }#'KME4 tEN]0` '************************************************************************* sTG+c E 'Radius and conic constant of posterior lens 8~HC0o\2 '************************************************************************* ,xD{A}}V eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) FG#j0#|* GetConic eID, entity, curv, conic eaX`S.!jR n[4Nu`E9 SetConic eID, entity, 1/Rpost, CCpost (la<X<w Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost tMAa$XrZj 9Biw!%a '************************************************************************* Z}NAH`V`:+ 'Lens thickness (Position of posterior lens surface) W77JXD93 '************************************************************************* H&03>.b Q`vyDoF parID = FindFullName( "Geometry.Arizona Eye.Lens" ) r`;C9#jZ A^K,[8VX ' Delete any z-shift(s) :/~vaCZ count = 0 `n5c|`6 While GetOperationCount(eID)>count 5)nv GetOperation eID, count, op NWAF4i&$ If op.Type="ShiftZ" Then DGd&x^C DeleteOperation eID,count (Wx)YI count=count-1 h5f>'lz End If @\"*Z&]8z0 count=count+1 tjd"05"@: Wend q #p)E=$ :.35pp,0 'Set new z-shift $AXz/fGV op.Type = "ShiftZ" .\d0lJSr op.val1 = tlens '^/E2+ op.parent = parID ]~K&mNo AddOperation eID, op rmabm\QY Print "Set lens thickness = " & tlens lwY{rWo KPR{5 '************************************************************************* dt \O7Rjw8 'Lens index of refraction vlPE8U= '************************************************************************* }oN(nPxv9 eID = FindMaterial( "Lens" ) J.nVEqLZ GetModelMaterial eID, mat gMGg9U$@ v
PGuEfz mat.Nd = nlens N )!v-z,k SetModelMaterial eID, mat <>e<Xd:77{ Print "Set lens index of refraction = " & nlens z5vryhX_Z ,Tz
,)rY '************************************************************************* 7S1!|*/
I 'Pupil diameter ^=W&p%Y(! '************************************************************************* CYn}wkz eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) PR'FSTg L|Ydd!m 'Adjust pupil diameter (trimming volume inner hole) FRg6-G/S vJCL
m/}* SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" uLCU3nI j |i6/Pk9J ' Adjust pupil location to just in front of the lens )/ZSb1! parID = FindFullName( "Geometry.Arizona Eye" ) +>3c+h,%. eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) X<QE]RZ count = 0 q#a21~S< While GetOperationCount(eID)>count 1(?J>{-lw GetOperation eID, count, op *Qf}4a0 If op.Type="ShiftZ" Then YiJu48J DeleteOperation eID,count t<k8 .9
M$ count=count-1 Tk!b`9 End If ~ZNhU;%YW count=count+1 5`uS<[vA Wend :3t])mL# op.Type = "ShiftZ" AFFLnLA<L op.val1 = taq-0.01 E+)Go-rS( op.parent = parID y2U:( H:l! AddOperation eID, op -Fdi,\e BJE <~" Print "Set pupil diameter = " & pupilDiam :L[6a>"neE ]03ZrZ!
PM 'Update AZ Eye subassembly Description @j
(jOe eID = FindFullName( "Geometry.Arizona Eye" ) /trc&V GetEntity eID, entity :acQK=fe entity.Description = "Accommodation = " & A & "D" %aKkk)s SetEntity eID, entity ^pjez+ YXtGuO\q Update 8bGq"!w- Print "DONE!" nKO&ffb'< |gVO Iq End Sub X]fw9tZ <e^/hR4O 如果屈光度是4,光瞳直径是4,则会输出如下数据: k:TfE6JZ TUaK:*x* Accommodation = 4 Diopters BQU5[8l Pupil Diameter = 4 mm *Vl
=PNn- Set aqueous humor thickness = 2.81 t0>{0 5 Set anterior lens radius = 10.4 and conic constant = -2.375869 8joQPHkI\ Set posterior lens radius = -4.424557 and conic constant = -3.081019 c6HU'%v Set lens thickness = 3.927 ptR Set lens index of refraction = 1.42672 fh_
.J[Y.k Set pupil diameter = 4 3ngLEWT DONE! h Nle;&*F 95Qz1*TR (文章来源:讯技光电)
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