Consider a plane electromagnetic wave propagating in KDP crystal (uniaxial) with its axis k lying in...
4" (20%) A laser beam at the wavelength of 632 nmis propagating in the uniaxial crystal lithium niobate with the refractive indices no=2.287 and», = 2.202. The wave normal is in the x-z plane and is 30° away from the optic axis. 1) Pleas its semi-axes. 2) Please find the refractive indices of the o-wave and the e-wave. 3) Please briefly describe the vibration direction of the D vectors of the o-wave and the e-wave. e roughly draw the index...
1. KDP A typical electro-optic amplitude modulator is shown above. A linearly polarized beam with wavelength 2 633nm is sent a KDP crystal which is oriented such that when a voltage is applied across its faces the index of refraction along y-axis and x-axis make an angle of 45 degrees with respect to the input polarization. This results in a phase change between the x and y components of the input beam. For KDP, the electro-optic coefficient is given as...
1. KDP A typical electro-optic amplitude modulator is shown above. A linearly polarized beam with wavelength 2 633nm is sent a KDP crystal which is oriented such that when a voltage is applied across its faces the index of refraction along y-axis and x-axis make an angle of 45 degrees with respect to the input polarization. This results in a phase change between the x and y components of the input beam. For KDP, the electro-optic coefficient is given as...
1. KDP A typical electro-optic amplitude modulator is shown above. A linearly polarized beam with wavelength 633nm is sent a KDP crystal which is oriented such that when a voltage is applied across its faces the index of refraction along y-axis and x-axis make an angle of 45 degrees with respect to the input polarization. This results in a phase change between the x and y components of the input beam. For KDP, the electro-optic coefficient is given as r6...
3. When using a reference constituted by the principal axes of a birefringent crystal, the electric field components of a plane wave (E. E E) = E(7,1)= Ë, e(k.F - ct) propagating in the direction (siny, 0, cosu), satisfy the following set of equations, 2 -Cos') E Sin'P CosY E 0 wave.k 21 -1) E = 0 wave & 2 ne Sin y) E, 0 SINY Cos'Y E + n where is the angle between the wave-vector k and the...
Electromagnetic Waves 1 2 3 468 The magnetic field in a plane monochromatic electromagnetic wave with wavelength 1 = 674 nm, propagating in a vacuum in the z-direction is described by B= (Bộ sin(kz - t) (+3) where B, = 4.8 X 10-6 T, and i-hat and j-hat are the unit vectors in the +x and +y directions, respectively. 1) What is k, the wavenumber of this wave? m1 Submit 2) What is Zmax, the distance along the positive Z-axis...
Pretest: Electromagnetic waves Name Pretests 159 1. Shown below are pictorial and mathematical representations of an electromagnetic plane wave space. The electric field is parailel to the z-axis. The magnetic field propagating through empty is parallel to the y-axis. The E(x, y, z, t) E, sin(kx + 0x)2 The points P. Q. R, and S in the diagram above lie in thex-y plane. i. For the instant shown, rank points P. Q. R, and S according to the magnitude of...
The magnetic field in a plane monochromatic electromagnetic wave with wavelength λ = 427 nm, propagating in a vacuum in the z-direction is described by B⃗=(B1sin(kz−ωt))(i^+j^)B→=(B1sin(kz−ωt))(i^+j^) where B1 = 7.6 X 10-6 T, and i-hat and j-hat are the unit vectors in the +x and +y directions, respectively. 1) What is k, the wavenumber of this wave? 2) What is zmax, the distance along the positive z-axis to the position where the magnitude of the magnetic field is a maximum...
1. (50 points) A plane electromagnetic (EM) wave, of angular frequency = 2Tx5.1x1014 rad/s, propagates inside a birefringent calcite crystal whose principal refractive indices are 1.65836 and ne- 1.48641 no Dt)= De.F-t) BF)-B.F) When using a given set of principal axes reference, the orientation of the wave-vector k is specified by k=(1, 1, 1)/ V3 As we know, when choosing an alternative and appropriate system of reference, the propagation of an ORDINARY wave and an EXTRAORDINARY wave of independent polarization...
The magnetic field in a plane monochromatic electromagnetic wave with wavelength A = 445 nm, propagating in a vacuum in the 2-direction is described by B=(Bj sin(kz - wt)(i+1) where 8, = 8.6 X 10ºT, and 1-hat and juhat are the unit vectors in the *x and +y directions, respectively. 1) What is k, the wavenumber of this wave? m Submit 2) What is max, the distance along the positive z-axis to the position where the magnitude of the magnetic...