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1 cm 2 cm 3 cm 4 cm 5 cm6 cm7 cm8 cm Intensities from 0° to 45° for varying slit width with transmitter 57 cm from slit We expect minima at = 22.02° and = 48.59° Intensity v. Angle for = 8 /3 (slit width) Single Slit Diffraction
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Fraunhofer Approximation: Intensities at 0° to 45° for varying slit width with transmitter 57 cm from slit Expected minima for a = 8 cm at = 22.02° and 48.59° a : slit width : wavelength (2.85cm) I 0 : empirically fit 1-2 cm3-4 cm5-6 cm 7-8 cm
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Heterodyning [sin( 1 t) + sin( 2 t)]² sin²( 1 t) + sin²( 2 t) + cos( 1 t)cos( 2 t) cos( 1 t + 2 t) sin²( 1 t) + sin²( 2 t) cos( 1 t)cos( 2 t) + cos( 1 t – 2 t) Two new frequencies created: 1 2, 1 2 A set of two or more different frequencies through a nonlinear impedance material produces a new set of frequencies Instances of nonlinear impedance crystal diodes transistors iron-core transformers electron tubes
![Heterodyning [sin( 1 t) + sin( 2 t)]² sin²( 1 t) + sin²( 2 t) + cos( 1 t)cos( 2 t) cos( 1 t + 2 t) sin²( 1 t) + sin²( 2 t) cos( 1 t)cos( 2 t) + cos( 1 t – 2 t) Two new frequencies created: 1 2, 1 2 A set of two or more different frequencies through a nonlinear impedance material produces a new set of frequencies Instances of nonlinear impedance crystal diodes transistors iron-core transformers electron tubes](http://images.slideplayer.com./39/10838409/slides/slide_3.jpg "Heterodyning [sin( 1 t) + sin( 2 t)]² sin²( 1 t) + sin²( 2 t) + cos( 1 t)cos( 2 t) cos( 1 t + 2 t) sin²( 1 t) + sin²( 2 t) cos( 1 t)cos( 2 t) + cos( 1 t – 2 t) Two new frequencies created: 1 2, 1 2 A set of two or more different frequencies through a nonlinear impedance material produces a new set of frequencies Instances of nonlinear impedance crystal diodes transistors iron-core transformers electron tubes")
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