consider a plane wave expressed mathematically as E = ae^i(b(x,y,z)+c(t))d_hat,

Question

consider a plane wave expressed mathematically as E = ae^i(b(x,y,z)+c(t))d_hat, where a is a constant, b is a linear function of space, c is a linear function of time, and d_hat is a unit vector. 1. Consider a plane wave expressed mathematically as E = aei(b(z, y, z)+c(ma, where a is a constant, b is a linear function of space, c is a linear function of time, and 2 is a unit vector. State whether a, b, c, and/or d encode information about each of the following quantities: Wavelength Frequency Period Wave number/vector Propagation direction Propagation speed Amplitude Polarization

Explanation / Answer

Wavelength - c

Frequency - c

Period - c

Wave number - b

Propagation direction - d

Propagation speed - b

Amplitude - a

Polarization - b

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