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‘‘Bootstrap’’ loss mechanism for electromagnetic waves guided in a nominally loss‐free nonlinear medium
1.N. N. Akhmediev, Sov. Phys. JETP 56, 299 (1982).
2.A. A. Maradudin, Z. Phys. B. Cond. Matter 41, 342 (1981).
3.Strictly speaking, complex notation must not be used when nonlinearity is present; when written correctly, in real notation, the nonlinear medium causes harmonics of the fundamental wave. We are not concerned here with these harmonics. To within a numerical factor of order one, the fundamental wave in, for example, may be replaced by
4.From Eq. (4) we can calculate the total loss and describe it, for convenience, by an effective intrinsic loss typified by This will be given by In the absence of nonlinearities the only stable solution of this equation for is such that In the presence of nonlinearities, remains finite.
5.J. D. Jackson, Classical Electrodynamics, 2nd ed. (Wiley, New York, 1975), pp. 391–397.
6.D. Anderson, M. Lisak, and T. Reichel, J. Opt. Soc. Am. B 5, 207 (1988).
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