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Interference

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Interference

1. 1. interference
2. 2. <ul><li>Conditions for interference </li></ul><ul><li>Sound waves </li></ul><ul><li>Light waves </li></ul><ul><li>Young’s double slit experiment </li></ul>
3. 3. Conditions for interference <ul><li>All waves exhibit interference </li></ul><ul><li>Constrictive </li></ul><ul><li>Destructive </li></ul><ul><li>For Interference: </li></ul><ul><ul><li>The sources must be coherent. </li></ul></ul><ul><ul><li>The sources should be monochromatic </li></ul></ul>
4. 4. Sound waves
5. 5. <ul><li>Sound waves leave speakers in phase </li></ul><ul><li>Relative phase along XY depends on distance travelled </li></ul><ul><li>Maximum if path difference = n  </li></ul><ul><li>Minimum if path difference = (n + ½)  </li></ul>
6. 6. Light waves <ul><li>V. rare to observe light interfering to produce dark region </li></ul><ul><li>Usually random polarisation and phase </li></ul><ul><li>Hence no steady interference pattern </li></ul><ul><li>1801: Young produced double slit experiment </li></ul>
7. 9. <ul><li>Light bands = maxima – due to constrictive interference </li></ul><ul><li>i.e. path difference = n  </li></ul><ul><li>Distance between maxima, w depends on: </li></ul><ul><ul><ul><ul><li>Slit separation, s </li></ul></ul></ul></ul><ul><ul><ul><ul><li>Wavelength of light,  </li></ul></ul></ul></ul><ul><ul><ul><ul><li>Distance, D between slits and screen </li></ul></ul></ul></ul><ul><li>  = ws </li></ul><ul><li> D </li></ul>