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Page 1 WAVE OPTICS - I 1. Electromagnetic Wave 2. Wavefront 3. Huygens’ Principle 4. Reflection of Light based on Huygens’ Principle 5. Refraction of Light based on Huygens’ Principle 6. Behaviour of Wavefront in a Mirror, Lens and Prism 7. Coherent Sources 8. Interference 9. Young’s Double Slit Experiment 10.Colours in Thin Films Page 2 WAVE OPTICS - I 1. Electromagnetic Wave 2. Wavefront 3. Huygens’ Principle 4. Reflection of Light based on Huygens’ Principle 5. Refraction of Light based on Huygens’ Principle 6. Behaviour of Wavefront in a Mirror, Lens and Prism 7. Coherent Sources 8. Interference 9. Young’s Double Slit Experiment 10.Colours in Thin Films 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 optical property of EM wave, more significance is given to Electric Field, E. Therefore, Electric Field is called ‘light vector’. 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 - I 1. Electromagnetic Wave 2. Wavefront 3. Huygens’ Principle 4. Reflection of Light based on Huygens’ Principle 5. Refraction of Light based on Huygens’ Principle 6. Behaviour of Wavefront in a Mirror, Lens and Prism 7. Coherent Sources 8. Interference 9. Young’s Double Slit Experiment 10.Colours in Thin Films 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 optical property of EM wave, more significance is given to Electric Field, E. Therefore, Electric Field is called ‘light vector’. 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. Wavefront: A wavelet is the point of disturbance due to propagation of light. A wavefront is the locus of points (wavelets) having the same phase of oscillations. A line perpendicular to a wavefront is called a ‘ray’. Spherical Wavefront from a point source Cylindrical Wavefront from a linear source Plane Wavefront Pink Dots – Wavelets Blue Envelope– Wavefront Red Line – Ray • Page 4 WAVE OPTICS - I 1. Electromagnetic Wave 2. Wavefront 3. Huygens’ Principle 4. Reflection of Light based on Huygens’ Principle 5. Refraction of Light based on Huygens’ Principle 6. Behaviour of Wavefront in a Mirror, Lens and Prism 7. Coherent Sources 8. Interference 9. Young’s Double Slit Experiment 10.Colours in Thin Films 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 optical property of EM wave, more significance is given to Electric Field, E. Therefore, Electric Field is called ‘light vector’. 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. Wavefront: A wavelet is the point of disturbance due to propagation of light. A wavefront is the locus of points (wavelets) having the same phase of oscillations. A line perpendicular to a wavefront is called a ‘ray’. Spherical Wavefront from a point source Cylindrical Wavefront from a linear source Plane Wavefront Pink Dots – Wavelets Blue Envelope– Wavefront Red Line – Ray • Huygens’ Construction or Huygens’ Principle of Secondary Wavelets: S New Wavefront (Spherical) New Wave- front (Plane) . . . . . . . . (Wavelets - Red dots on the wavefront) 1. Each point on a wavefront acts as a fresh source of disturbance of light. 2. The new wavefront at any time later is obtained by taking the forward envelope of all the secondary wavelets at that time. Note: Backward wavefront is rejected. Why? . . . . . . . . . Amplitude of secondary wavelet is proportional to ½ (1+cos?). Obviously, for the backward wavelet ? = 180° and (1+cos?) is 0. • Page 5 WAVE OPTICS - I 1. Electromagnetic Wave 2. Wavefront 3. Huygens’ Principle 4. Reflection of Light based on Huygens’ Principle 5. Refraction of Light based on Huygens’ Principle 6. Behaviour of Wavefront in a Mirror, Lens and Prism 7. Coherent Sources 8. Interference 9. Young’s Double Slit Experiment 10.Colours in Thin Films 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 optical property of EM wave, more significance is given to Electric Field, E. Therefore, Electric Field is called ‘light vector’. 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. Wavefront: A wavelet is the point of disturbance due to propagation of light. A wavefront is the locus of points (wavelets) having the same phase of oscillations. A line perpendicular to a wavefront is called a ‘ray’. Spherical Wavefront from a point source Cylindrical Wavefront from a linear source Plane Wavefront Pink Dots – Wavelets Blue Envelope– Wavefront Red Line – Ray • Huygens’ Construction or Huygens’ Principle of Secondary Wavelets: S New Wavefront (Spherical) New Wave- front (Plane) . . . . . . . . (Wavelets - Red dots on the wavefront) 1. Each point on a wavefront acts as a fresh source of disturbance of light. 2. The new wavefront at any time later is obtained by taking the forward envelope of all the secondary wavelets at that time. Note: Backward wavefront is rejected. Why? . . . . . . . . . Amplitude of secondary wavelet is proportional to ½ (1+cos?). Obviously, for the backward wavelet ? = 180° and (1+cos?) is 0. • Laws of Reflection at a Plane Surface (On Huygens’ Principle): i i r r A B C D N N AB – Incident wavefront CD – Reflected wavefront XY – Reflecting surface E F G If c be the speed of light, t be the time taken by light to go from B to C or A to D or E to G through F, then EF t = c + FG c AF sin i t = c + FC sin r c For rays of light from different parts on the incident wavefront, the values of AF are different. But light from different points of the incident wavefront should take the same time to reach the corresponding points on the reflected wavefront. So, t should not depend upon AF. This is possible only if sin i – sin r = 0. i.e. sin i = sin r or i = r X Y AC sin r + AF (sin i – sin r) t = cRead More
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