This activity has benefited from input from faculty educators beyond the author through a review and suggestion process.
This review took place as a part of a faculty professional development workshop where groups of faculty reviewed each others' activities and offered feedback and ideas for improvements. To learn more about the process On the Cutting Edge uses for activity review, see http://serc.carleton.edu/NAGTWorkshops/review.html.
This activity was selected for the On the Cutting Edge Reviewed Teaching Collection
This activity has received positive reviews in a peer review process involving five review categories. The five categories included in the process are
- Scientific Accuracy
- Alignment of Learning Goals, Activities, and Assessments
- Pedagogic Effectiveness
- Robustness (usability and dependability of all components)
- Completeness of the ActivitySheet web page
For more information about the peer review process itself, please see http://serc.carleton.edu/NAGTWorkshops/review.html.
This page first made public: Apr 14, 2010
This activity is intended for undergraduate students in a physics, mathematics, or mineralogy course that requires an understanding of interaction between sinusoidal wave forms. It may serve as a component of an introduction to Bragg's Law.
Skills and concepts that students must have mastered
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Description of the activity/assignment
Wave Interference Student Activity Sheet (Word) (Acrobat (PDF) 26kB Feb24 10)
Wave Interference Student Activity Sheet (pdf) (Acrobat (PDF) 16kB Feb24 10)
Wave Interference Applet
Original applet page: Wave Interference Applet
If the applet below fails to appear properly on the page, with sliders for setting the amplitude, wavelength, phase, and speed of the waves, browse to the above link to the original applet page.
Java Applet created by Konstantin Lukin with supervision by Glenn A. Richard, Project Java Webmaster
The two green curves are parallel sinusoidal waveforms that have identical wavelengths, amplitudes, and phases when the applet initializes. The blue sinusoidal waveform at the bottom is the sum of the two green parallel waveforms. You can change the phase of the green sinusoidal waveforms by dragging the circles at the left end of the waveform. You can change the wavelength and the amplitude by dragging the other two circles. The sliders to the right of the waveforms offer alternative means of making similar changes.
To animate the waveforms, click on the start button, and to stop the animation, click again. In order to change the speed of the animation of the two green waveforms, you can use the sliders on the lower right, but you must halt the animation in order to adjust the speed. Once your speeds are selected, start the animation again. The speeds are actually phase velocity. In other words, when the two green waveforms animate at equal speeds, each one will advance by an equal number of wavelengths during a given amount of time. Therefore, if they are set to the same speed, but different wavelengths, the waveform with the longer wavelength will advance faster than the other one.
We have constructive interference when the wavelength, amplitude, and phase of the two component (blue) waves are identical.
We have destructive interference when the wavelength and amplitude of the two component (blue) waves are identical and the phases differ by 180 degrees.
With the wavelengths and the amplitudes of the component waves identical and their phases different by 90 degrees, there is partial constructive interference.
With the amplitudes of the two component waves identical and the wavelength of one component wave twice the wavelength of the other, the phase can be adjusted to produce a sum with a more complex form.
With the amplitudes of the two component waves identical and the wavelengths slightly different, the sum exhibits wave beat.
Original applet location: Wave Interference Applet
Java Source code and class files are in this archive: Wave Interference Applet jar File (Jar Archive 22kB Feb23 10)
Java Source code and class files for a three-wave sum are in this archive:Wave Interaction Applet: Three Wave Sum (Jar Archive 9kB Feb23 10)
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