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简介 W,6q1 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。 En9J7es_ Es7
c2YdU 模型 :XFQ}Cl Ft11?D
B 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。 =Pw{1m|k =K} Pfh Table 1. AZ眼睛模型的定义 F$tzsz,9n 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. ~Ze!F" yZ,pH1 光源 >8I~i:hn :?zq! 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 ]vz6DJs 36(qe"s S?JCi= 图1. 光源和提示信息使用 )jgz(\KZ 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 -c?x5/@3 VQH48{X 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 ^g6v#]&WA b'+Wf#.]f0 图2. 字母F光源的设定方法光 'uL$j=vB @NA+Ma{N 图3. 字母F在视网膜上位置点列图 2WH(c$6PWf 视网膜的散射 g]L8Jli *uRDB9#9, 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 Al*=%nY J' P:SC1 "r@#3T$ 图4. 视网膜朗伯散射设定 59D'*!l- 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。 qzxWv5UH )uHat# drjNK!XL@ 图5. 视网膜重点采样规格设定 1$E [`` n 脚本 +BtLd+)R A'jL+dI. 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: 4h!yh2c.. ;W5.g8 图6. 用户对话框的创建与编辑 u->[y1JY 图7. 用户对话框编辑器 yOlVS@7 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 qbq2Bi'a 余下的脚本计算与屈光度有关的所有参数。 L@[}sMdq( N7"cMAs\G 分析 5,MM`:{{ =p[Sd*d 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 S;Sy.Lp VO:
图7. 字母F在视网膜上颜色分析 Kn$E{ F\ 脚本代码 z. hq2v ]SA/KV Option Explicit 'Remove this to enable non-dimensioned variables to be used. }|Q\@3& ]Whv% Dim entity As T_ENTITY G2wSd'n*y Dim op As T_OPERATION C<a&]dN/ Dim mat As T_MODELMATERIAL H?r~% bh Dim A As Double Pl'lmUR Dim pupilDiam As Double <ndY6n3 Dim eID As Long \kyoA
Z Dim parID As Long ?H_@/? Dim count As Integer -2}ons( Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double Z:h'kgG & Dim tlens As Double, nlens As Double *^[6uaa Dim curv As Double, conic As Double q/*veL Dim ok As Long 6bj77CoB zwQ#Yvd Sub Main ]]r;}$ lQ^"-zO4 '用户输入对话框 Jb> X$|N'% Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 jt6_1^ TextBox 220,21,40,21,.TextBox1 'default: 0 {Q$8p2W Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 t3.;qDy OKButton 40,91,90,21 )g8Kicox5 CancelButton 190,91,90,21 =[aiW|Y Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 GBS+ 4xL| TextBox 220,49,40,21,.TextBox2 'default: 4 M*T!nwb End Dialog e9'0CH< Dim dlg As UserDialog t
4M-;y a|y'-r90 ok = Dialog (dlg) tIV9Y=ckr0 _8PNMbv{ If ok=0 Then 'cancel button was pressed % mPv1$FH Print "Execution cancelled." Y<Ae_yLa End @||nd,i`n~ End If be-HF;lZe' P(b~3NB) 'Assign accommodation and pupil diameter & use defaults if field left empty 0r$n If dlg.TextBox1 = "" Then er
BerbEEH A = 0 'Default accommodation t&JOASYC Else j7I?K
:op= A = CDbl(dlg.TextBox1) j)ln"u0R^B End If MR4k#{:w ^pY8'LF6 If dlg.TextBox2 = "" Then 73u97oe>1 pupilDiam = 4 'Default pupil diameter w?*79 u Else ep5`&g]3 pupilDiam = CDbl(dlg.TextBox2) SCn)j:gH; End If 4,YL15. S~m8j|3K Print " " p/LV^TQ Print "Accommodation = " & A & " Diopters" N2j^fZd_ Print "Pupil Diameter = " & pupilDiam & " mm" 2Kr8#_) 0 fO#nSB/
8 ' Calculate new parameters with accommodation keQRS+9 taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness lOb(XH9 58mpW`Q Rant = 12.0 - 0.4*A 'Radius of anterior lens !YO'u'4<aK CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens "85)2*+ 6e.l#
c!1} Rpost = -5.224557 + 0.2*A 'Radius of posterior lens 'O2/PU2_ CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens %)d7iT~M S&l [z, tlens = 3.767 + 0.04*A 'Lens thickness 3,hu3"@k q!><:"#[G nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction /Wl8Jf7'
w4Hq|N1-Y 'Adjust parameters to account for accommodation &+hk5?c / &N/dxKZcc '************************************************************************* hhU\$'0B- 'Aqueous thickness (Position of Lens) !"hzGgOOX '************************************************************************* yP` K [/ eID = FindFullName( "Geometry.Arizona Eye.Lens" ) C(>g4.-p8 GetCustomElement eID, entity T~XKV`LQ `|92!Ej parID = FindFullName( "Geometry.Arizona Eye" ) TZg1,Z (6}7z+ ' Delete any shift(s) in z 9G7Br s: count = 0 @x[A^ While GetOperationCount(eID)>count b>#dMRK GetOperation eID, count, op ^rY18?XC+: If op.Type="ShiftZ" Then y^Q);siSy DeleteOperation eID,count IZ Q*D) count=count-1 ESFJN}Q%0. End If M,oZ_tY% count=count+1 qrZ3`@C4k Wend &b%2Jx[+ Be\@n xV[ 'Set new shift in m'
|wlI[lq op.Type = "ShiftZ" `q | )_ op.val1 = taq '<e$ c op.parent = parID Z rgv* AddOperation eID, op u2fp~.'P Print "Set aqueous humor thickness = " & taq-0.55 ]|K6Z>V {z;K0 '************************************************************************* z/WGL 'Radius and conic constant of anterior lens ^e$!19g '************************************************************************* A|U0e`Iw eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) VKlC`k8L GetConic eID, entity, curv, conic KCp9P2kv. a>d`g SetConic eID, entity, 1/Rant, CCant X(#8EY}X Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant 3U!=R- _sL;E<)y( '************************************************************************* O OABn* 'Radius and conic constant of posterior lens g2M1zRm; '************************************************************************* 2BT+[ eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) 6T_Ya) GetConic eID, entity, curv, conic DqmKDU B"5xs SetConic eID, entity, 1/Rpost, CCpost sK/ymEfRv Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost qM2m ! <7L-25 = '************************************************************************* 6iHY{WcDj 'Lens thickness (Position of posterior lens surface) )1GJ^h$l '************************************************************************* %uiCC>cC WyM2h parID = FindFullName( "Geometry.Arizona Eye.Lens" ) 3rJ LLYR F~OQ'59!Pf ' Delete any z-shift(s) ]F;1 l3I- count = 0 6g#E/{kQw While GetOperationCount(eID)>count ;K4uu<e\ GetOperation eID, count, op ~6QV?j If op.Type="ShiftZ" Then <*/Z>Z_c2 DeleteOperation eID,count k;SKQN count=count-1 p u?COA End If 3Q7PY46 count=count+1 k$DRX)e Wend 7*WO9R/ tuY=)? 'Set new z-shift ip*^eS^ op.Type = "ShiftZ" W?ghG op.val1 = tlens W(-son~I op.parent = parID y~M6 AddOperation eID, op vkG%w; Print "Set lens thickness = " & tlens +;oR_]l uGYH4
'************************************************************************* ~xws5n}F 'Lens index of refraction p=i6~ '************************************************************************* =`CK`x eID = FindMaterial( "Lens" ) $j@P8<M7 GetModelMaterial eID, mat o,0
Z^"| LFYSur8 mat.Nd = nlens 9d=\BBNZ SetModelMaterial eID, mat \-[ >bsg Print "Set lens index of refraction = " & nlens a6It1%a+ f%[xl6VE; '************************************************************************* *7L1SjZw 'Pupil diameter #P!M"_z '************************************************************************* '9&@?P; eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) %* gg6Q ]zIIi% 'Adjust pupil diameter (trimming volume inner hole) zQu9LN }%42Ty SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" <1_3`t H_1&>@ 3 ' Adjust pupil location to just in front of the lens 3e\IRF xzb parID = FindFullName( "Geometry.Arizona Eye" ) i;IhsKO0R eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) T5:xia>8O count = 0 3mg:9]X9 While GetOperationCount(eID)>count Rz*GRe GetOperation eID, count, op Z,~@_;F If op.Type="ShiftZ" Then CqU ^bVs DeleteOperation eID,count T+%P+ count=count-1 N+pCC End If z XU r34jF count=count+1 XSh[#qJ Wend ;W\?lGOs{ op.Type = "ShiftZ" op.val1 = taq-0.01 1jPh0?BY op.parent = parID X_,R!$wbg: AddOperation eID, op sEL0h4 'coY`B; 8 Print "Set pupil diameter = " & pupilDiam Y^8'P /A "Rtt~["% 'Update AZ Eye subassembly Description )vuIO(8F# eID = FindFullName( "Geometry.Arizona Eye" ) hVd_1|/X GetEntity eID, entity #|=lU4Bf entity.Description = "Accommodation = " & A & "D" (rBYE[@, SetEntity eID, entity u1.0-Y? q{f (T\ Update cXYE!( Print "DONE!" w2lO[o~x} l2Rnyb<;; End Sub x>T+k8[n z+zEH9.' 如果屈光度是4,光瞳直径是4,则会输出如下数据: T~g`;Q%i xjrL@LO# Accommodation = 4 Diopters ~K(mt0T) Pupil Diameter = 4 mm %;aB#:p6 Set aqueous humor thickness = 2.81 ?<Mx* l Set anterior lens radius = 10.4 and conic constant = -2.375869 `9\^.g) Set posterior lens radius = -4.424557 and conic constant = -3.081019 )gAqWbkB Set lens thickness = 3.927 \,lIPA/L Set lens index of refraction = 1.42672 K\mFb Set pupil diameter = 4 g\iSc~%? DONE! GSfU*@L3 eIhfhz?Q;# (文章来源:讯技光电)
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