The first error is a misprint in eq 5 from the original paper. The correct formula for the permeability of TmFeO3 is
 |
5C |
where ω0 is the resonant
frequency, Δω is the absorption line width, and Δμ
is the effective oscillator strength. The graphic of 
, which is shown in Figure 3 in the original
paper, is not affected by this misprint, as the correct formula was
used to plot it.
The second error was discovered in the Terahertz Emission section, and here we decided to provide the full derivation.
The system of the Maxwell equations in the frequency domain (eqs 6 and 7) should be corrected to
 |
6C |
 |
7C |
The corresponding wave equation (eq 8 from the original paper) will become the following:
 |
8C |
In the 1D case it simplifies to
 |
9C |
where 
is the wave vector.
The solution of eq 9C has the following form:
 |
11C |
where 
is a partial (forced) solution, k0 is the wave vector in air, k1 is the wave vector in the material, and d is the thickness of the sample.
Taking the partial solution
in the form 
, it is found from eq 9C that
 |
12C |
where 
is the effective optical penetration decay
and 
is used for the simplification of notation.
By integrating Maxwell’s equations over an infinitesimal length crossing the interfaces and taking the limit as the thicknesses of the transition regions go to zero, one gets the boundary conditions:
 |
Using eq 11C, these boundary conditions lead to the following system of equations:
 |
13C |
Solving these equations for A3, we obtain the solution for the spectrum of the THz radiation emitted from the slab:
 |
14C |
where 
. It should be noted that if α = 0
and μ = 1 the formula corresponds to the formula derived in
the ref 23 from the original paper.
The eq 14C has the same structure as eq 14 from the original paper, and the error results in swapping coefficients in front of the real and imaginary part.
We plot Figures 6C and 8C using the correct formula. The new calculated data do not differ significantly from original data and exhibit the same features.
Figure 6C.
(a) Geometry of THz generation in a slab of orthoferrite and the electromagnetic waves relevant to the problem of light−matter interaction; (b) Calculated and measured Fourier amplitudes EFT of the electric field for radiation generated in the TmFeO3 sample slab by a laser pulse at 40 K; (c) The time traces corresponding to the spectra shown in (b).
Figure 8C.
(a) Calculated transmission beating spectra for the region between the THz pulse and its echo in the time-domain range for different crystal thicknesses; (b) emission spectra for different crystal thicknesses.