<![CDATA[Circular Electromagnetic Wave Polarizer]]> false false false false false false true true true false ]]> ./emcircularpolarizer/Screen Shot 2018-02-06 at 4.05.46 PM (2).png ./01authorfu-kwun.hwang.png;./01authorlookang50x50.png; DESCRIPTION_EDITOR Introduction true false _default_ Introduction false

Circular Electromagnetic Wave Polarizer

An more general elliptical (circular is a special case where Ex=Ez) polarized Electromagnetic Wave travels from left to right.

After passing through the first polarizer, the Electromagnetic Wave now is linearly polarized along the direction of the polarizer, θ₁ .This is usually how linearly polarized light is formed.

After passing through the second polarizer, the Electromagnetic Wave now is further linearly polarized along the direction of the second polarizer, θ₂. If θ₂=θ₁, the light passes through without any difference. If θ₂-θ₁=90 degree, the light passes through is completely blocked.

After passing through the third polarizer,the Electromagnetic Wave now is further linearly polarized along the direction of the third polarizer, θ₃. If θ₃ = θ₂= θ₁,the linearly polarized light passes through without any difference. If θ₃-θ₂=90 degree and θ₂-θ₁=0 degree, light inbetween polarizer 2 and 3 is unchanged, still linearly polarized, but light after polarizer 3 is completely blocked.

Visualization

Electric Field is represented as Red color segments

Magnetic Field is represented as Blue color segments

Polarizer 1 is Orange color

Polarizer 2 is Green color

Polarizer 3 is Magenta color

Controls

You can modify:

θ₁ is the angle of the first polarizer

θ₂ is the angle of the second polarizer

θ₃ is the angle of the third polarizer

under the combobox

yp₁ is the position of the first polarizer

yp₂ is the position of the second polarizer

yp₃ is the position of the third polarizer

under more? it is possible to explore these other more advance variables

Ex: electric field magnitude in x direction

Ez: electric field magnitude in z direction

phase: the phase difference between E and B

vy: wave velocity. which imply Ez/Bx=vy, where Bx is magnetic field magnitude

T :period of the wave. which imply wavelength(lamda)=vy*T

wavelength: the length of one cycle of the wave

Please notice that E/B field are in phase when electromagnetic is travel in vacuum.

]]> 20 1 true VARIABLE_EDITOR panel true false VARIABLE_EDITOR coordinate true false VARIABLE_EDITOR time true false VARIABLE_EDITOR field true false VARIABLE_EDITOR wave true false VARIABLE_EDITOR view true false VARIABLE_EDITOR view2 true false VARIABLE_EDITOR polarizer true false VARIABLE_EDITOR labels true false VARIABLE_EDITOR varfrem true false CODE_EDITOR undefined true false CODE_EDITOR Init Page true false EVOLUTION_EDITOR Evol Page false false ODE_EDITOR Evol Page 2 true false t dt Euler 10000 0.00001 false false false false CODE_EDITOR wave true false epsilon); //controls the visible lines show_Bx[i]=show_Bx0 && (Math.abs(Bx[i])>epsilon); show_Ez[i]=show_Ez0 && (Math.abs(Ez[i])>epsilon); show_Bz[i]=show_Bz0 && (Math.abs(Bz[i])>epsilon); show_E[i]= show_E0 && (Math.abs(Ex[i])>epsilon || Math.abs(Ez[i])>epsilon); show_B[i]= show_B0 && (Math.abs(Bx[i])>epsilon || Math.abs(Bz[i])>epsilon); } IE=calE(EZ[0],EX[0]); //l_E0=IE+""; //l_E1=calE(EZ[0]*Math.sin(c1),EX[0]*Math.cos(c1))+""; //if(Math.abs(y[i]-yp2) LIBRARY_EDITOR varinit true false LIBRARY_EDITOR setpc true false LIBRARY_EDITOR setpy true false LIBRARY_EDITOR calE true false HTML_VIEW_EDITOR screen true false 0 0 0 800 600 true true Elements.Panel false Elements.Panel false Elements.Panel Elements.Label Elements.ParsedField Elements.Slider false Elements.Panel Elements.Label Elements.ParsedField Elements.Slider false Elements.Panel Elements.Label Elements.ParsedField Elements.Slider false Elements.Panel Elements.TwoStateButton Elements.Button false Elements.Panel false Elements.Panel Elements.ComboBox 0)? opts[0]:""; // selected option //["yp1 = ","yp2 = ","yp3 = ","c1 = ","c2 = ","c3 = "] if (option == "yp1 = "){panelf2 = 1;} else if (option == "yp2 = "){panelf2 = 2;} else if (option == "yp3 = "){panelf2 = 3;} else if (option == "θ1 = "){panelf2 = 4;} else if (option == "θ2 = "){panelf2 = 5;} else if (option == "θ3 = "){panelf2 = 6;} else if (option=="more?"){morecontrol=true}]]> false Elements.Panel Elements.Slider false Elements.Panel Elements.Slider false Elements.Panel Elements.Slider false Elements.Panel Elements.Slider false Elements.Panel Elements.Slider false Elements.Panel Elements.Slider false Elements.Panel Elements.ComboBox 0)? opts[0]:""; // selected option //["Ex","phase","Ez","Vy","Period T","Lamda","choose components"] if (option == "Ex = "){panelf1 = 1;} else if (option == "phase = "){panelf1 = 2;} else if (option == "Ez = "){panelf1 = 3;} else if (option == "velocity v = "){panelf1 = 4;} else if (option == "Period T = "){panelf1 = 5;} else if (option == "wavelength = "){panelf1 = 6;} else if (option == "choose components"){panelf1 = 7;} ]]> false Elements.Panel Elements.Slider false Elements.Panel Elements.Slider false Elements.Panel Elements.Slider false Elements.Panel Elements.Slider false Elements.Panel Elements.Slider false Elements.Panel Elements.Label Elements.Slider false Elements.Panel Elements.CheckBox Elements.CheckBox Elements.CheckBox Elements.CheckBox Elements.CheckBox Elements.CheckBox true Elements.Display3DPanel Elements.SphereSet3D false Elements.Group3D Elements.SegmentSet3D Elements.SegmentSet3D true Elements.Group3D Elements.ArrowSet3D true Elements.Group3D Elements.SegmentSet3D Elements.SegmentSet3D true Elements.Group3D Elements.ArrowSet3D Elements.AnalyticCurve3D Elements.TextSet3D Elements.Surface3D Elements.Surface3D Elements.Surface3D Elements.Text3D Elements.Text3D Elements.Text3D Elements.Text3D Elements.Panel Circular Electromagnetic Wave Polarizer

An more general elliptical (circular is a special case where Ex=Ez) polarized Electromagnetic Wave travels from left to right.

After passing through the first polarizer, the Electromagnetic Wave now is linearly polarized along the direction of the polarizer, θ₁ .This is usually how linearly polarized light is formed.

After passing through the second polarizer, the Electromagnetic Wave now is further linearly polarized along the direction of the second polarizer, θ₂. If θ₂=θ₁, the light passes through without any difference. If θ₂-θ₁=90 degree, the light passes through is completely blocked.

After passing through the third polarizer,the Electromagnetic Wave now is further linearly polarized along the direction of the third polarizer, θ₃. If θ₃ = θ₂= θ₁,the linearly polarized light passes through without any difference. If θ₃-θ₂=90 degree and θ₂-θ₁=0 degree, light inbetween polarizer 2 and 3 is unchanged, still linearly polarized, but light after polarizer 3 is completely blocked.

Visualization

Electric Field is represented as Red color segments

Magnetic Field is represented as Blue color segments

Polarizer 1 is Orange color

Polarizer 2 is Green color

Polarizer 3 is Magenta color

Controls

You can modify:

θ₁ is the angle of the first polarizer

θ₂ is the angle of the second polarizer

θ₃ is the angle of the third polarizer

under the combobox

yp₁ is the position of the first polarizer

yp₂ is the position of the second polarizer

yp₃ is the position of the third polarizer

under more? it is possible to explore these other more advance variables

Ex: electric field magnitude in x direction

Ez: electric field magnitude in z direction

phase: the phase difference between E and B

vy: wave velocity. which imply Ez/Bx=vy, where Bx is magnetic field magnitude

T :period of the wave. which imply wavelength(lamda)=vy*T

Please notice that E/B field are in phase when electromagnetic is travel in vacuum.

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