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简介 xY U.D+RY 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。 k^%B5 |-
rI@2` 模型 'XofD}dm i|}[A 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。 EG0auzW? ^;maotHn Table 1. AZ眼睛模型的定义 d/|D<Sb[s 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. \,&co Ns0cgCrhX 光源 FwY&/\J7V T4 N~(Fi) 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。 W4U@%b do 3a 1 u >sjhA|gXk 图1. 光源和提示信息使用 f1)x5N 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。 M=*bh5t%] ~$ f;U 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。 UH>F|3"d <[J[idY1he 图2. 字母F光源的设定方法光 _s$_Sa ; P<2+L|X?} 图3. 字母F在视网膜上位置点列图 <ggtjw S 视网膜的散射 )r
z+'|, wwoweztER 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 {}m PEd b -}4NT{E c$`4*6 图4. 视网膜朗伯散射设定 i Q6epg1wB 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。 G,<T/f
.{$ za9)Q=6FD $DC*i-}qFg 图5. 视网膜重点采样规格设定 kR@Yl Yo 脚本 maY4g&'f kctzNGF| 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: 8W+gl=C~ <zy,5IlD 图6. 用户对话框的创建与编辑 GF:`>u{C 图7. 用户对话框编辑器 GK}'R= 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 9F-
)r' 余下的脚本计算与屈光度有关的所有参数。 P;8>5;U4- s (LT 分析 a7/-wk r-IVb&uFb 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 0\~Z5k`IT W85@v2b 图7. 字母F在视网膜上颜色分析 C*te^3k>B 脚本代码 !.<T"8BUpv 3!o4)yJWx Option Explicit 'Remove this to enable non-dimensioned variables to be used. \^K&vW; q7m6&2$[ Dim entity As T_ENTITY (zYy}g#n Dim op As T_OPERATION $W42vjr4 Dim mat As T_MODELMATERIAL )Vk6;__ Dim A As Double >x@P|\ Dim pupilDiam As Double o{kbc5_ Dim eID As Long asgF1?r Dim parID As Long tPyyZ#, Dim count As Integer uw7{>9 Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double _uu<4c Dim tlens As Double, nlens As Double m&oi8 P-6 Dim curv As Double, conic As Double F'?I-jtI Dim ok As Long >71&]/Rv Ld,5iBiO: Sub Main
5q<zN b~C$R[S '用户输入对话框 "?GebA Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 a)! g7u TextBox 220,21,40,21,.TextBox1 'default: 0 7W9d6i) Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 kF V7l OKButton 40,91,90,21 t.hm9}UQ CancelButton 190,91,90,21 ,Ci/xnI Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 %im#ww L% TextBox 220,49,40,21,.TextBox2 'default: 4 L1)@z8] End Dialog 8Chu"PM%-J Dim dlg As UserDialog GfyX'(ge qkP/Nl. u ok = Dialog (dlg) AdoZs8Q =S]a&*M If ok=0 Then 'cancel button was pressed ]`w}+B'/ Print "Execution cancelled." <B&R6<]T End $ 'QdFkOr End If `Xcirfp w.+Eyu_I\ 'Assign accommodation and pupil diameter & use defaults if field left empty Cw,D{ If dlg.TextBox1 = "" Then <3O T>E[ A = 0 'Default accommodation P8gXCX!>U Else TQ1WVq
}* A = CDbl(dlg.TextBox1) nyT[^n End If Hwe)Tsh e r<L#q)] If dlg.TextBox2 = "" Then re,.@${H pupilDiam = 4 'Default pupil diameter *R`MMm Else z]$j7 dp pupilDiam = CDbl(dlg.TextBox2) I8op>^N" End If Gwd{#7FM` af+}S9To Print " " '3kcD7 Print "Accommodation = " & A & " Diopters" ~k4W< Print "Pupil Diameter = " & pupilDiam & " mm" O'}llo cc> ' Calculate new parameters with accommodation JAn1{<Ky taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness i&@,5/'-_O Q)Dwq? Rant = 12.0 - 0.4*A 'Radius of anterior lens #Y,A[Y5jX CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens
A@$fb}CF ~' =lou Rpost = -5.224557 + 0.2*A 'Radius of posterior lens ZZ
A.a CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens R~B0+ :6 hD 46@ tlens = 3.767 + 0.04*A 'Lens thickness bGh0<r7R 6;uBZ&g nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction 1BD6l2y ^w6eWzI 'Adjust parameters to account for accommodation ,p,Du
F A"/aGCG0z '************************************************************************* r2G*!qK*1 'Aqueous thickness (Position of Lens) Xn7[n '************************************************************************* Yn[x #DS eID = FindFullName( "Geometry.Arizona Eye.Lens" ) z=?0)e(H, GetCustomElement eID, entity W<gD6+=8 /.Wc_/ parID = FindFullName( "Geometry.Arizona Eye" ) x9`ZO<L$ ,e ELRzjl ' Delete any shift(s) in z (4)3W^/kk? count = 0 owMuT^x? While GetOperationCount(eID)>count 8)Tj
H' GetOperation eID, count, op `QCD$= If op.Type="ShiftZ" Then q lY\*{x4 DeleteOperation eID,count k`IrZHMw count=count-1 (/q}mB End If *#ompm count=count+1 CB@B.)E Wend [oHOHp/V w:tGPort 'Set new shift in O&P>x#w op.Type = "ShiftZ" WRMz]|+}4 op.val1 = taq lIy/;hIc op.parent = parID HU3Vv<lz AddOperation eID, op 7dhn'TW Print "Set aqueous humor thickness = " & taq-0.55 L9'- :A$wX$H01 '************************************************************************* s @M 'Radius and conic constant of anterior lens $WD +Q@6 '************************************************************************* wR1K8b".DC eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) F0: &>'} GetConic eID, entity, curv, conic 6(5c7R# 9l=Fv6 SetConic eID, entity, 1/Rant, CCant g&aT!%QvX+ Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant <\xQ7|e tYI]=: '************************************************************************* M7pvxChA 'Radius and conic constant of posterior lens EreAn '************************************************************************* D; yd{]< eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) IHfSkFz`j GetConic eID, entity, curv, conic ][N) 2_^M v*gLNB,ZH SetConic eID, entity, 1/Rpost, CCpost a j_:|]j Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost .kzms x_pMG!2 '************************************************************************* >|S>J+( 'Lens thickness (Position of posterior lens surface) 4}PeP^pj '************************************************************************* (HaU,vP \Em-.%c parID = FindFullName( "Geometry.Arizona Eye.Lens" ) {C, #rj yL4 -4 ' Delete any z-shift(s) @%keTTZ count = 0 IM2/(N.% While GetOperationCount(eID)>count {)jk_&c7 GetOperation eID, count, op $/y%[ . If op.Type="ShiftZ" Then fzOMX
z DeleteOperation eID,count y#GCtkhi count=count-1 f#2#g%x End If !}C4{Bgt* count=count+1 f@#w{W,3 Wend 5D>BV*" [j1^$n 8V 'Set new z-shift DD)mN)
&T op.Type = "ShiftZ" fLc!Sn.Y op.val1 = tlens paUyS 1i op.parent = parID :0|Hcg AddOperation eID, op 3 pHn_R Print "Set lens thickness = " & tlens U0ns3LirP cKSfqqPm$" '************************************************************************* ]r]+yM| 'Lens index of refraction [cY?!Qd0 '************************************************************************* sd]0Hx[ eID = FindMaterial( "Lens" ) re2Fv:4{ GetModelMaterial eID, mat /6 A:J]Q_ o4U]lK$ mat.Nd = nlens Rs^jk)Z:) SetModelMaterial eID, mat X~`.} Print "Set lens index of refraction = " & nlens 1'gKZB)TG7 T;xHIg4 '************************************************************************* jw2_!D 'Pupil diameter 2"B}} '************************************************************************* b"*mi eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) _?*rtDzIM [+Yl;3&] 'Adjust pupil diameter (trimming volume inner hole) 8-W"4)@b zLE>kK SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" A)~/~ oR!n bm ' Adjust pupil location to just in front of the lens cS. 7\0$ parID = FindFullName( "Geometry.Arizona Eye" ) v[p/c.p?i eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) -d\AiT count = 0 h0&>GY;i While GetOperationCount(eID)>count &zaW"uy3T GetOperation eID, count, op K*J4&5?/ If op.Type="ShiftZ" Then f]{1ZU%4 DeleteOperation eID,count cWX"e6 count=count-1 Qq@_Z=mt End If `lH1IA/3 count=count+1 -P IA;#Gs Wend JMl, N op.Type = "ShiftZ" ^\Ue7,H- op.val1 = taq-0.01 QYODmeu op.parent = parID 8ItCfbqa6 AddOperation eID, op wC4AVJJ^> ~5XL@j I^ Print "Set pupil diameter = " & pupilDiam "\wDS2M) e3oYy#QNk 'Update AZ Eye subassembly Description ;p?42rCIcl eID = FindFullName( "Geometry.Arizona Eye" ) Xs.$2 GetEntity eID, entity )VV4HoH]8 entity.Description = "Accommodation = " & A & "D" +8?R+0P SetEntity eID, entity y^0HCp{ v '"1/% L Update ~jgN_jz Print "DONE!" C.Wms}XA DkF@XK0c3 End Sub 9!Q
$GE?vl mfp`Iy"}+ 如果屈光度是4,光瞳直径是4,则会输出如下数据: }+QhW]nO{F 6KZ8 .m}: Accommodation = 4 Diopters Ah8^^h|TPJ Pupil Diameter = 4 mm ePPp)= Set aqueous humor thickness = 2.81 `CTkx?e[ Set anterior lens radius = 10.4 and conic constant = -2.375869 |zRoXO`]-* Set posterior lens radius = -4.424557 and conic constant = -3.081019 :_I
wc= Set lens thickness = 3.927 E@'CU9Fo Set lens index of refraction = 1.42672 5KA
FUR0 Set pupil diameter = 4 P_^|KEz DONE! 2:6Y83 *1 J#Mdd (文章来源:讯技光电)
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