L) {\n // outside screen draw zero\n sum2[i][j]= 0.0;\n }\n }\n }\n}"
},
{
"Name": "fullscreen",
"Active": "true",
"Internal": "false",
"Type": "LIBRARY_EDITOR",
"Comment": "",
"Code": "//https://developer.mozilla.org/en-US/docs/Web/Guide/API/DOM/Using_full_screen_mode\n// does not work for iOS \n/*jslint browser:true */\nfunction toggleFullScreen() {\n if (!document.fullscreenElement && // alternative standard method\n !document.mozFullScreenElement && !document.webkitFullscreenElement && !document.msFullscreenElement ) { // current working methods\n if (document.documentElement.requestFullscreen) {\n document.documentElement.requestFullscreen();\n } else if (document.documentElement.msRequestFullscreen) {\n document.documentElement.msRequestFullscreen();\n } else if (document.documentElement.mozRequestFullScreen) {\n document.documentElement.mozRequestFullScreen();\n } else if (document.documentElement.webkitRequestFullscreen) {\n document.documentElement.webkitRequestFullscreen();\n }\n } else {\n if (document.exitFullscreen) {\n document.exitFullscreen();\n } else if (document.msExitFullscreen) {\n document.msExitFullscreen();\n } else if (document.mozCancelFullScreen) {\n document.mozCancelFullScreen();\n } else if (document.webkitExitFullscreen) {\n document.webkitExitFullscreen();\n }\n }\n}"
},
{
"Name": "rgb",
"Active": "true",
"Internal": "false",
"Type": "LIBRARY_EDITOR",
"Comment": "",
"Code": "function rgb(r, g, b) {\n return \"rgb(\"+r+\",\"+g+\",\"+b+\")\";\n}\n\nfunction hsb2rgb(h, s, v){\n\n}\n"
},
{
"Name": "HSVtoRGB",
"Active": "true",
"Internal": "false",
"Type": "LIBRARY_EDITOR",
"Comment": "",
"Code": "function HSVtoRGB(h, s, v) {\n var r, g, b, i, f, p, q, t;\n if (arguments.length === 1) {\n s = h.s, v = h.v, h = h.h;\n }\n i = Math.floor(h * 6);\n f = h * 6 - i;\n p = v * (1 - s);\n q = v * (1 - f * s);\n t = v * (1 - (1 - f) * s);\n switch (i % 6) {\n case 0: r = v, g = t, b = p; break;\n case 1: r = q, g = v, b = p; break;\n case 2: r = p, g = v, b = t; break;\n case 3: r = p, g = q, b = v; break;\n case 4: r = t, g = p, b = v; break;\n case 5: r = v, g = p, b = q; break;\n }\n return {\n r: Math.round(r * 255),\n g: Math.round(g * 255),\n b: Math.round(b * 255)\n };\n}\n\n"
}
]
},
"elements": {
"list": [
{
"Classname": "org.colos.ejss.model_elements.numerics.NumericJavascriptElement",
"Name": "numericJS"
}
]
}
},
"view": {
"Tree": [
{
"Name": "fullscreen",
"Type": "Panel",
"Expanded": "true",
"Properties": [
{
"name": "Height",
"value": "Height"
},
{
"name": "Width",
"value": "Width"
}
],
"Children": [
{
"Name": "controlPanel",
"Type": "Panel",
"Expanded": "true",
"Properties": [
{
"name": "Width",
"value": "Width"
},
{
"name": "Font",
"value": "font"
},
{
"name": "Display",
"value": "\"inline-flex\""
}
],
"Children": [
{
"Name": "lambdaPanel",
"Type": "Panel",
"Expanded": "true",
"Properties": [
{
"name": "CSS",
"value": "{padding:\"10px\"}"
},
{
"name": "Background",
"value": "%colorlookang%"
},
{
"name": "Display",
"value": "\"inline-block\""
}
],
"Children": [
{
"Name": "lambdaLabel",
"Type": "Label",
"Properties": [
{
"name": "Background",
"value": "%colorlookang%"
},
{
"name": "Text",
"value": "\"\u03bb = \""
},
{
"name": "Font",
"value": "font"
}
]
},
{
"Name": "lamdarField",
"Type": "ParsedField",
"Properties": [
{
"name": "Tooltip",
"value": "\"Wavelength = 0.00 \u03bcm\""
},
{
"name": "Value",
"value": "lambdar"
},
{
"name": "OnChange",
"value": "lightPalette(lambdar);\n_initialize();"
},
{
"name": "Width",
"value": "\"5vw\""
},
{
"name": "Font",
"value": "font"
}
]
},
{
"Name": "lambdaUnitLabel",
"Type": "Label",
"Properties": [
{
"name": "Background",
"value": "%colorlookang%"
},
{
"name": "Text",
"value": "\"\u03bcm\""
}
]
},
{
"Name": "lambdaSlider",
"Type": "Slider",
"Properties": [
{
"name": "Minimum",
"value": "0.1"
},
{
"name": "Maximum",
"value": "1.0"
},
{
"name": "Background",
"value": "%colorlookang%"
},
{
"name": "Tooltip",
"value": "\"Wavelength = 0.00 \u03bcm\""
},
{
"name": "Value",
"value": "lambdar"
},
{
"name": "OnChange",
"value": "lightPalette(lambdar);\n_initialize();"
},
{
"name": "Width",
"value": "\"100%\""
}
]
}
]
},
{
"Name": "NPanel",
"Type": "Panel",
"Expanded": "true",
"Properties": [
{
"name": "Background",
"value": "\"CYAN\""
},
{
"name": "Display",
"value": "\"inline-block\""
}
],
"Children": [
{
"Name": "Nlabel",
"Type": "Label",
"Properties": [
{
"name": "Tooltip",
"value": "\"number of slits\""
},
{
"name": "Text",
"value": "\"N = \""
}
]
},
{
"Name": "NField",
"Type": "ParsedField",
"Properties": [
{
"name": "Format",
"value": "\"0\""
},
{
"name": "Background",
"value": "\"Cyan\""
},
{
"name": "Tooltip",
"value": "\"number of slits\""
},
{
"name": "Value",
"value": "N"
},
{
"name": "OnChange",
"value": "N = Math.max(1,N);\nN = Math.min(100,N);\n_initialize();"
},
{
"name": "Width",
"value": "\"5vw\""
},
{
"name": "Font",
"value": "font"
}
]
},
{
"Name": "NSlider",
"Type": "Slider",
"Properties": [
{
"name": "Minimum",
"value": "1"
},
{
"name": "Maximum",
"value": "20"
},
{
"name": "Format",
"value": "\"0\""
},
{
"name": "Tooltip",
"value": "\"number of slits\""
},
{
"name": "Value",
"value": "N"
},
{
"name": "OnChange",
"value": "_initialize()"
},
{
"name": "Width",
"value": "\"100%\""
},
{
"name": "Step",
"value": "1"
}
]
}
]
},
{
"Name": "aPanel",
"Type": "Panel",
"Expanded": "true",
"Properties": [
{
"name": "Background",
"value": "\"Black\""
},
{
"name": "Display",
"value": "\"inline-block\""
}
],
"Children": [
{
"Name": "aLabel",
"Type": "Label",
"Properties": [
{
"name": "Tooltip",
"value": "\"Slit Width\""
},
{
"name": "Foreground",
"value": "\"White\""
},
{
"name": "Text",
"value": "\"a = \""
}
]
},
{
"Name": "aField",
"Type": "ParsedField",
"Properties": [
{
"name": "Format",
"value": "\"0.00\""
},
{
"name": "Background",
"value": "\"Black\""
},
{
"name": "Tooltip",
"value": "\"Slit Width\""
},
{
"name": "Value",
"value": "ar"
},
{
"name": "OnChange",
"value": "ar = Math.max(2,a);\nar = Math.min(1,a);\n_initialize();"
},
{
"name": "Foreground",
"value": "\"white\""
},
{
"name": "Width",
"value": "\"4.5vw\""
},
{
"name": "Font",
"value": "font"
}
]
},
{
"Name": "aUnitLabel",
"Type": "Label",
"Properties": [
{
"name": "Tooltip",
"value": "\"Slit Width\""
},
{
"name": "Foreground",
"value": "\"white\""
},
{
"name": "Text",
"value": "\"\u03bcm\""
}
]
},
{
"Name": "aSlider",
"Type": "Slider",
"Properties": [
{
"name": "Minimum",
"value": "1"
},
{
"name": "Maximum",
"value": "2"
},
{
"name": "Tooltip",
"value": "\"Slit Width = 0 \u03bcm\""
},
{
"name": "Value",
"value": "ar"
},
{
"name": "OnChange",
"value": "_initialize()"
},
{
"name": "Foreground",
"value": "\"WHITE\""
},
{
"name": "Width",
"value": "\"100%\""
}
]
}
]
},
{
"Name": "dPanel",
"Type": "Panel",
"Expanded": "false",
"Properties": [
{
"name": "Background",
"value": "\"CYAN\""
},
{
"name": "Display",
"value": "\"inline-block\""
}
],
"Children": [
{
"Name": "dLabel",
"Type": "Label",
"Properties": [
{
"name": "Tooltip",
"value": "\"Slit Separation = 0 \u03bcm\""
},
{
"name": "Text",
"value": "\"d = \""
},
{
"name": "Visibility",
"value": "singleSlit===false"
}
]
},
{
"Name": "dField",
"Type": "ParsedField",
"Properties": [
{
"name": "Format",
"value": "\"0.00\""
},
{
"name": "Background",
"value": "\"CYAN\""
},
{
"name": "Tooltip",
"value": "\"Slit Separation = 0 \u03bcm\""
},
{
"name": "Value",
"value": "dr"
},
{
"name": "OnChange",
"value": "dr = Math.max(3,dr);\ndr = Math.min(4,dr);\n"
},
{
"name": "Visibility",
"value": "singleSlit===false"
},
{
"name": "Width",
"value": "\"4.5vw\""
},
{
"name": "Font",
"value": "font"
}
]
},
{
"Name": "dUnitLabel",
"Type": "Label",
"Properties": [
{
"name": "Text",
"value": "\"\u03bcm\""
},
{
"name": "Visibility",
"value": "singleSlit===false"
}
]
},
{
"Name": "dSlider",
"Type": "Slider",
"Properties": [
{
"name": "Minimum",
"value": "3"
},
{
"name": "Maximum",
"value": "4"
},
{
"name": "Tooltip",
"value": "\"Slit Separation = 0 \u03bcm\""
},
{
"name": "Value",
"value": "dr"
},
{
"name": "OnChange",
"value": "_initialize()"
},
{
"name": "Visibility",
"value": "singleSlit===false"
},
{
"name": "Disabled",
"value": "singleSlit===true"
},
{
"name": "Width",
"value": "\"100%\""
}
]
}
]
},
{
"Name": "showLCheckBox",
"Type": "CheckBox",
"Properties": [
{
"name": "Checked",
"value": "screenshow"
},
{
"name": "OnCheckOff",
"value": "Width1 = \"100%\";\nWidth2 = \"0%\";"
},
{
"name": "Background",
"value": "\"white\""
},
{
"name": "Tooltip",
"value": "\"show screen\""
},
{
"name": "OnCheckOn",
"value": "Width1 = \"50%\";\nWidth2 = \"50%\";"
}
]
},
{
"Name": "LadjustedPanel",
"Type": "Panel",
"Expanded": "true",
"Properties": [
{
"name": "CSS",
"value": "{padding:\"10px\"}"
},
{
"name": "Display",
"value": "\"inline-block\""
}
],
"Children": [
{
"Name": "LadjustedLabel",
"Type": "Label",
"Properties": [
{
"name": "Background",
"value": "\"white\""
},
{
"name": "Tooltip",
"value": "\"distance from slit to screen\""
},
{
"name": "Text",
"value": "\"L = \""
}
]
},
{
"Name": "LadjustedField",
"Type": "ParsedField",
"Properties": [
{
"name": "Format",
"value": "\"0.00\""
},
{
"name": "Background",
"value": "\"white\""
},
{
"name": "Tooltip",
"value": "\"distance in x direction\""
},
{
"name": "Value",
"value": "Ladjusted"
},
{
"name": "OnChange",
"value": "L = Math.max(0.1, L);\nL = Math.min(1.0, L);\nL = Ladjusted*200;\n_initialize();"
},
{
"name": "Width",
"value": "\"5vw\""
},
{
"name": "Font",
"value": "font"
}
]
},
{
"Name": "LadjustedUnitLabel",
"Type": "Label",
"Properties": [
{
"name": "Background",
"value": "\"white\""
},
{
"name": "Tooltip",
"value": "\"m\""
},
{
"name": "Text",
"value": "\"m\""
}
]
},
{
"Name": "LadjustedSlider",
"Type": "Slider",
"Properties": [
{
"name": "Minimum",
"value": "0.1"
},
{
"name": "Maximum",
"value": "1.0"
},
{
"name": "Background",
"value": "\"White\""
},
{
"name": "Tooltip",
"value": "\"distance from slit to screen in m\""
},
{
"name": "Value",
"value": "Ladjusted"
},
{
"name": "OnChange",
"value": "L = Ladjusted*200;\nlightPalette(lambdar);\n_initialize();"
},
{
"name": "Width",
"value": "\"100%\""
}
]
}
]
},
{
"Name": "resetButton2",
"Type": "Button",
"Properties": [
{
"name": "Tooltip",
"value": "\"reset simulation\""
},
{
"name": "OnPress",
"value": "_reset();"
},
{
"name": "Text",
"value": "\"\u21bbReset\""
},
{
"name": "OnClick",
"value": "_reset();"
},
{
"name": "Width",
"value": "\"10vw\""
},
{
"name": "Font",
"value": "fontb"
}
]
}
]
},
{
"Name": "controlPanel2",
"Type": "Panel",
"Expanded": "true",
"Properties": [
{
"name": "Width",
"value": "Width"
},
{
"name": "Font",
"value": "font"
},
{
"name": "Display",
"value": "screenshow?\"inline-flex\":\"none\""
}
],
"Children": [
{
"Name": "yPanel",
"Type": "Panel",
"Expanded": "true",
"Properties": [
{
"name": "Background",
"value": "\"MAGENTA\""
},
{
"name": "Display",
"value": "\"none\""
}
],
"Children": [
{
"Name": "yCheckBox",
"Type": "CheckBox",
"Properties": [
{
"name": "Checked",
"value": "ypshow"
},
{
"name": "Background",
"value": "\"MAGENTA\""
},
{
"name": "Tooltip",
"value": "\"show ruler measurement \""
},
{
"name": "Foreground",
"value": "\"WHITE\""
},
{
"name": "Text",
"value": "\"y =\""
}
]
},
{
"Name": "yLabel",
"Type": "Label",
"Properties": [
{
"name": "Background",
"value": "\"MAGENTA\""
},
{
"name": "Tooltip",
"value": "\"y direction measurement from central line\""
},
{
"name": "Foreground",
"value": "\"WHITE\""
},
{
"name": "Display",
"value": "\"none\""
}
]
},
{
"Name": "ySlider",
"Type": "Slider",
"Properties": [
{
"name": "Minimum",
"value": "-100"
},
{
"name": "Maximum",
"value": "100"
},
{
"name": "Background",
"value": "\"MAGENTA\""
},
{
"name": "Tooltip",
"value": "\"measurement in y direction\""
},
{
"name": "Value",
"value": "yvalueslider"
},
{
"name": "OnChange",
"value": "yvalue = yvalueslider/100;\n_initialize();"
},
{
"name": "Disabled",
"value": "ypshow===false"
},
{
"name": "Width",
"value": "\"50%\""
}
]
},
{
"Name": "yField",
"Type": "ParsedField",
"Properties": [
{
"name": "Format",
"value": "\"0.000\""
},
{
"name": "Tooltip",
"value": "\"measurement in y direction\""
},
{
"name": "Value",
"value": "yvalue"
},
{
"name": "OnChange",
"value": "y = Math.max(-100, y);\ny = Math.min(100, y);\ny = yvalue*100;"
},
{
"name": "Editable",
"value": "ypshow"
},
{
"name": "Width",
"value": "\"4vw\""
},
{
"name": "Font",
"value": "font"
}
]
},
{
"Name": "yUnitLabel",
"Type": "Label",
"Properties": [
{
"name": "Background",
"value": "\"MAGENTA\""
},
{
"name": "Tooltip",
"value": "\"metre\""
},
{
"name": "Foreground",
"value": "\"WHITE\""
},
{
"name": "Text",
"value": "\"m\""
}
]
}
]
},
{
"Name": "showEnvelopeCheckBox2",
"Type": "CheckBox",
"Properties": [
{
"name": "Checked",
"value": "showXY"
},
{
"name": "Background",
"value": "\"MAGENTA\""
},
{
"name": "Tooltip",
"value": "\"Envelope\""
},
{
"name": "Disabled",
"value": "!screenshow"
}
]
},
{
"Name": "showIntensityCheckBox2",
"Type": "CheckBox",
"Properties": [
{
"name": "Checked",
"value": "showintensity"
},
{
"name": "Background",
"value": "\"Yellow\""
},
{
"name": "Tooltip",
"value": "\"show intensity\""
},
{
"name": "Text",
"value": "\"Intensity =\""
},
{
"name": "Disabled",
"value": "!screenshow"
}
]
},
{
"Name": "intensityPanel2",
"Type": "Panel",
"Expanded": "true",
"Properties": [
{
"name": "Background",
"value": "\"YELLOW\""
},
{
"name": "Width",
"value": "\"50%\""
},
{
"name": "Display",
"value": "\"inline-block\""
}
],
"Children": [
{
"Name": "IntensityLabel2",
"Type": "Label",
"Properties": [
{
"name": "Text",
"value": "\"Intensity =\""
},
{
"name": "Display",
"value": "\"none\""
}
]
},
{
"Name": "IntensityField2",
"Type": "ParsedField",
"Properties": [
{
"name": "Format",
"value": "\"0\""
},
{
"name": "Tooltip",
"value": "\"Intensity Scale\""
},
{
"name": "Value",
"value": "yscale"
},
{
"name": "OnChange",
"value": "yscale = Math.max(1/N, yscale);\nyscale = Math.min(400/N, yscale);\n"
},
{
"name": "Width",
"value": "\"10vw\""
},
{
"name": "Font",
"value": "font"
}
]
},
{
"Name": "IntensitySlider2",
"Type": "Slider",
"Properties": [
{
"name": "Minimum",
"value": "1/N"
},
{
"name": "Maximum",
"value": "400/N"
},
{
"name": "Format",
"value": "\"0.00\""
},
{
"name": "Tooltip",
"value": "\"Intensity Scale\""
},
{
"name": "Value",
"value": "yscale"
},
{
"name": "Disabled",
"value": "false"
},
{
"name": "Width",
"value": "\"70%\""
}
]
}
]
}
]
},
{
"Name": "displayPanel",
"Type": "Panel",
"Expanded": "true",
"Properties": [
{
"name": "Width",
"value": "Width"
}
],
"Children": [
{
"Name": "plottingPanel",
"Type": "PlottingPanel",
"Expanded": "true",
"Properties": [
{
"name": "MinimumX",
"value": "xmin/2"
},
{
"name": "Gutters",
"value": "[0,0,0,0]"
},
{
"name": "MinimumY",
"value": "ymin"
},
{
"name": "AutoScaleY",
"value": "false"
},
{
"name": "AutoScaleX",
"value": "false"
},
{
"name": "Enabled",
"value": "true"
},
{
"name": "Height",
"value": "\"70vh\""
},
{
"name": "OnDoubleClick",
"value": "toggleFullScreen();"
},
{
"name": "Width",
"value": "Width1"
},
{
"name": "MaximumY",
"value": "ymax"
},
{
"name": "MaximumX",
"value": "xmax"
}
],
"Children": [
{
"Name": "background",
"Type": "Shape2D",
"Properties": [
{
"name": "FillColor",
"value": "\"BLACK\""
},
{
"name": "SizeX",
"value": "2*200"
},
{
"name": "ShapeType",
"value": "\"RECTANGLE\""
},
{
"name": "X",
"value": "0"
},
{
"name": "LineColor",
"value": "\"BLACK\""
},
{
"name": "Y",
"value": "0"
},
{
"name": "SizeY",
"value": "2*200"
}
]
},
{
"Name": "laser4",
"Type": "Shape2D",
"Properties": [
{
"name": "FillColor",
"value": "%colorlookang%"
},
{
"name": "SizeX",
"value": "0.45*200"
},
{
"name": "RelativePosition",
"value": "\"EAST\""
},
{
"name": "ShapeType",
"value": "\"RECTANGLE\""
},
{
"name": "X",
"value": "0"
},
{
"name": "LineColor",
"value": "%colorlookang%"
},
{
"name": "Y",
"value": "0"
},
{
"name": "SizeY",
"value": "0.07*200"
}
]
},
{
"Name": "slits",
"Type": "Shape2D",
"Properties": [
{
"name": "FillColor",
"value": "\"CYAN\""
},
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\n\u03bb = refers to the wavelength of the light emitted by the light source. \u03bb = 400 \u03bcm is Blue and \u03bb = 700 \u03bcm is Red light.
\nN = refers to the number of slits, vertical holes for the light to diffract out to the screen on the right.
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\nMultiple Slit Diffraction
\n\nThe EJSS Multiple Slit Diffraction model allows the user to simulate Fraunhofer diffraction through single or multiple slits. The user can modify the number of slits, the slit width, the slit separation and the wavelength of the incident light. The scale of the diffraction pattern can also be changed and a plot of the light intensity can be toggled on and off with a checkbox.
\n\nThe minima of single slit diffraction are determined by:
\n\nD sin \u04e8 = m \u03bb , \u00a0where m = 1,2,3,......
\n\nwhere D is the single slit width.
\n\nFor double slit interference, constructive interference (bright spots) are found at:
\n\nd sin \u04e8 = m \u03bb , \u00a0where m = 1,2,3,......
\n\nand destructive interference dark spots are located at:
\n\nd sin \u04e8 = (m+0.5) \u03bb , \u00a0where m = 1,2,3,......
\n\nwhere d is the distance between slits.
\n\nMultiple slits will sharpen (narrow) the regions of constructive interference. The overall pattern from multiple slits will be the two-slit pattern multiplied by the single slit diffraction envelope.
\nReferences:
\nDouglas Giancoli, Physics: Principles with Applications sixth edition, pages 664-675, Eugene Hecht, Optics fourth edition, pages 460-464.
\n\nCredits:
\n\nThe Multiple Slit Diffraction model was created by Fu-Kwun Hwang using the Easy JavaScript Simulations (EJSS) modeling tool. It was adapted to EJSS version 4.1 by Robert Mohr and Wolfgang Christian at Davidson College. You can examine and modify the model for this simulation if you have EJSS installed by right-clicking within the diffraction frame and selecting \"Open Ejss Model\" from the pop-up menu.
\n\nInformation about EJS is available at: \"http://www.um.es/fem/Ejs/\" and in the OSP ComPADRE collection \"http://www.compadre.org/OSP/\"
\n\nThis remixed model is by Lookang based on the earlier EJSS models by Fu-Kwun Hwang, Robert Mohr and Wolfgang Christian and Andrew Duffy.
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