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°

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Presentation transcript:

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

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

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