Question

Two EM waves of nearly same (600 nm) wavelength are measured on a spectrum analyzer to have a frequency difference of 0.1 GHz. While travelling through a dispersive medium, an interferometer is used to measure their wavelength difference of 0.001 nm. What is the group velocity of the wave combination in that medium​

Answer 1

Answer:

Two electromagnetic waves of nearly the same (a = 400 nm) wavelengths are measured on a spectrum analyzer to have a frequency difference of 1.0 x 108 Hz. While traveling through a dispersive medium, an interferometer is used to measure their wavelength difference of 0.001 nm. What is the group velocity of the wave combination in that medium? Wave Velocities • Group Velocity The superposition of a group of waves of closely similar wavelengths forms a wave envelope or packets. Let, E, = cos(k z-,t); E, =cos(kxz - 0.1) E, + E, = 2 cos – [kz – ot]cos - [Akz - Amr] + (k, + k_); Ak = k, – k2 2 1 (@, +02); A0 = 0; -6, 2 = 1 1 0 -1 -1 do Tracking the velocity of the wave envelope, we have V = g dk winni

Answer 2

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Two electromagnetic waves of nearly the same (a = 400 nm) wavelengths are measured on a spectrum analyzer to have a frequency difference of 1.0 x 108 Hz. While traveling through a dispersive medium, an interferometer is used to measure their wavelength difference of 0.001 nm. What is the group velocity of the wave combination in that medium? Wave Velocities • Group Velocity The superposition of a group of waves of closely similar wavelengths forms a wave envelope or packets. Let, E, = cos(k z-,t); E, =cos(kxz - 0.1) E, + E, = 2 cos – [kz – ot]cos - [Akz - Amr] + (k, + k_); Ak = k, – k2 2 1 (@, +02); A0 = 0; -6, 2 = 1 1 0 -1 -1 do Tracking the velocity of the wave envelope, we have V = g dk winni