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Page 1 WAVE OPTICS - II 1. Electromagnetic Wave 2. Diffraction 3. Diffraction at a Single Slit 4. Theory of Diffraction 5. Width of Central Maximum and Fresnel’s Distance 6. Difference between Interference and Diffraction 7. Polarisation of Mechanical Waves 8. Polarisation of Light 9. Malus’ Law 10.Polarisation by Reflection – Brewster’s Law 11.Polaroids and their uses Page 2 WAVE OPTICS - II 1. Electromagnetic Wave 2. Diffraction 3. Diffraction at a Single Slit 4. Theory of Diffraction 5. Width of Central Maximum and Fresnel’s Distance 6. Difference between Interference and Diffraction 7. Polarisation of Mechanical Waves 8. Polarisation of Light 9. Malus’ Law 10.Polarisation by Reflection – Brewster’s Law 11.Polaroids and their uses 0 Electromagnetic Wave: X E 0 B 0 Y Z Wave is propagating along X – axis with speed c = 1 / vµ 0 e 0 For discussion of EM wave, more significance is given to Electric Field, E. 1. Variations in both electric and magnetic fields occur simultaneously. Therefore, they attain their maxima and minima at the same place and at the same time. 2. The direction of electric and magnetic fields are mutually perpendicular to each other and as well as to the direction of propagation of wave. 3. The speed of electromagnetic wave depends entirely on the electric and magnetic properties of the medium, in which the wave travels and not on the amplitudes of their variations. Page 3 WAVE OPTICS - II 1. Electromagnetic Wave 2. Diffraction 3. Diffraction at a Single Slit 4. Theory of Diffraction 5. Width of Central Maximum and Fresnel’s Distance 6. Difference between Interference and Diffraction 7. Polarisation of Mechanical Waves 8. Polarisation of Light 9. Malus’ Law 10.Polarisation by Reflection – Brewster’s Law 11.Polaroids and their uses 0 Electromagnetic Wave: X E 0 B 0 Y Z Wave is propagating along X – axis with speed c = 1 / vµ 0 e 0 For discussion of EM wave, more significance is given to Electric Field, E. 1. Variations in both electric and magnetic fields occur simultaneously. Therefore, they attain their maxima and minima at the same place and at the same time. 2. The direction of electric and magnetic fields are mutually perpendicular to each other and as well as to the direction of propagation of wave. 3. The speed of electromagnetic wave depends entirely on the electric and magnetic properties of the medium, in which the wave travels and not on the amplitudes of their variations. Diffraction of light: The phenomenon of bending of light around the corners and the encroachment of light within the geometrical shadow of the opaque obstacles is called diffraction. S • S • Diffraction at a slit Diffraction at an obstacle X Y X Y X & Y – Region of diffraction Slit Obstacle Screen Screen Page 4 WAVE OPTICS - II 1. Electromagnetic Wave 2. Diffraction 3. Diffraction at a Single Slit 4. Theory of Diffraction 5. Width of Central Maximum and Fresnel’s Distance 6. Difference between Interference and Diffraction 7. Polarisation of Mechanical Waves 8. Polarisation of Light 9. Malus’ Law 10.Polarisation by Reflection – Brewster’s Law 11.Polaroids and their uses 0 Electromagnetic Wave: X E 0 B 0 Y Z Wave is propagating along X – axis with speed c = 1 / vµ 0 e 0 For discussion of EM wave, more significance is given to Electric Field, E. 1. Variations in both electric and magnetic fields occur simultaneously. Therefore, they attain their maxima and minima at the same place and at the same time. 2. The direction of electric and magnetic fields are mutually perpendicular to each other and as well as to the direction of propagation of wave. 3. The speed of electromagnetic wave depends entirely on the electric and magnetic properties of the medium, in which the wave travels and not on the amplitudes of their variations. Diffraction of light: The phenomenon of bending of light around the corners and the encroachment of light within the geometrical shadow of the opaque obstacles is called diffraction. S • S • Diffraction at a slit Diffraction at an obstacle X Y X Y X & Y – Region of diffraction Slit Obstacle Screen Screen Diffraction of light at a single slit: 1) At an angle of diffraction ? = 0°: O 0 1 2 3 4 5 6 7 8 9 10 11 12 • • • • • • • • • • • • • A B • ? = 0° Slit Screen Plane Wavefront The wavelets from the single wavefront reach the centre O on the screen in same phase and hence interfere constructively to give Central or Primary Maximum (Bright fringe). Bright D d Page 5 WAVE OPTICS - II 1. Electromagnetic Wave 2. Diffraction 3. Diffraction at a Single Slit 4. Theory of Diffraction 5. Width of Central Maximum and Fresnel’s Distance 6. Difference between Interference and Diffraction 7. Polarisation of Mechanical Waves 8. Polarisation of Light 9. Malus’ Law 10.Polarisation by Reflection – Brewster’s Law 11.Polaroids and their uses 0 Electromagnetic Wave: X E 0 B 0 Y Z Wave is propagating along X – axis with speed c = 1 / vµ 0 e 0 For discussion of EM wave, more significance is given to Electric Field, E. 1. Variations in both electric and magnetic fields occur simultaneously. Therefore, they attain their maxima and minima at the same place and at the same time. 2. The direction of electric and magnetic fields are mutually perpendicular to each other and as well as to the direction of propagation of wave. 3. The speed of electromagnetic wave depends entirely on the electric and magnetic properties of the medium, in which the wave travels and not on the amplitudes of their variations. Diffraction of light: The phenomenon of bending of light around the corners and the encroachment of light within the geometrical shadow of the opaque obstacles is called diffraction. S • S • Diffraction at a slit Diffraction at an obstacle X Y X Y X & Y – Region of diffraction Slit Obstacle Screen Screen Diffraction of light at a single slit: 1) At an angle of diffraction ? = 0°: O 0 1 2 3 4 5 6 7 8 9 10 11 12 • • • • • • • • • • • • • A B • ? = 0° Slit Screen Plane Wavefront The wavelets from the single wavefront reach the centre O on the screen in same phase and hence interfere constructively to give Central or Primary Maximum (Bright fringe). Bright D d B A Slit Screen 2) At an angle of diffraction ? = ? 1 : The wavelets from the single wavefront diffract at an angle ? 1 such that BN is ? and reach the point P 1 . The pairs (0,6), (1,7), (2,8), (3,9), (4,10), (5,11) and (6,12) interfere destructively with path difference ?/2 and give First Secondary Minimum (Dark fringe). O 0 1 2 3 4 5 6 7 8 9 10 11 12 P 1 N ? ? 1 ? 1 ? 1 ?/2 • • • • • • • • • • • • • • • Plane Wavefront Bright Dark The slit is imagined to be divided into 2 equal halves.Read More
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