Abstract
A general formula is proposed for calculating the intensity of amplified spontaneous emission (ASE) in low, medium and high intensity regimes for both homogeneous and inhomogeneous line broadening. The calculation of ASE intensity is based on the results that are obtained from the numerical solution of the rate equations. The results compared with the corrected Linford formula in low intensities and asymptotic limiting formula for the high gain saturation. An error analysis over the entire region of the gain length product is also given to evaluate the validity of the proposed formula.
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Al’miev, I.R., Larroche, O., Benredjem, D., Dubau, J., Kazamias, S., Möller, C., Klisnick, A.: Dynamical description of transient X-ray lasers seeded with high-order harmonic radiation through Maxwell-Bloch numerical simulations. Phys. Rev. Lett. 99, 123902 (2007)
Andreasen, J., Cao, H.: Numerical study of amplified spontaneous emission and lasing in random media. Phys. Rev. A 82, 063835 (2010)
Basu, S., Hagelstein, P.L.: Design analysis of a short wavelength laser in an unstable resonator cavity. J. Appl. Phys. 69, 1853–1861 (1991)
Cao, H., Xu, J.Y., Chang, S.-H., Ho, S.T.: Transition from amplified spontaneous emission to laser action in strongly scattering media. Phys. Rev. E 61, 1985–1989 (2000)
Casperson, L.W.: Threshold characteristics of mirrorless lasers. Appl. Phys. 48, 256–262 (1977)
Espindola, R.P., Ales, G., Park, J., Strasser, T.A.: 80 nm spectrally flattened, high power erbium amplified spontaneous emission fibre source. Elect. Lett. 36, 1263–1265 (2000)
Ganiel, U., Hardy, A., Neumaw, G., Treves, D.: Amplified spontaneous emission and in signal amplification in dye-laser systems. IEEE J. Quant. Electron. 11, 881–892 (1975)
Gorjan, M., North, T., Rochette, M.: Model of the amplified spontaneous emission generation in thulium-doped silica fibers. J. Opt. Soc. Am. B 29, 2886–2890 (2012)
Haag, G., Munz, M., Marowsky, G.: Amplified spontaneous emission (ASE) in laser oscillators and amplifiers. IEEE J. Quant. Electron. 19, 1149–1160 (1983)
Hung, Y.C., Su, C.H., Huang, H.W.: Low threshold amplified spontaneous emission from dye-doped DNA biopolymer. Appl. Phys. 111, 113107 (2012)
Itatani, J., Faure, J., Nantel, M., Mourou, G., Watanabe, S.: Suppression of the amplified spontaneous emission in chirped-pulse-amplification lasers by clean high-energy seed-pulse injection. Opt. Commun. 148, 70–74 (1998)
Kim, C.M., Janulewicz, K.A., Kim, H.T., Lee, J.: Amplification of a high-order harmonic pulse in an active medium of a plasma-based X-ray laser. Phys. Rev. A 80, 053811 (2009)
Kim, C.M., Lee, J., Janulewicz, K.A.: Coherent amplification of an ultrashort pulse in a high- and swept-gain medium with level degeneracy. Phys. Rev. Lett. 104, 053901 (2010)
Larroche, O., Ros, D., Klisnick, A., Sureau, A., Möller, C., Guennou, H.: Maxwell-Bloch modeling of X-ray-laser-signal buildup in single- and double-pass configurations. Phys. Rev. A 62, 043815 (2000)
Linford, J., Peressini, E.R., Sooy, W.R., Spaeth, M.L.: Very long lasers. Appl. Opt. 13, 379–390 (1974)
Oliva, E., Zeitoun, P., Fajardo, M., Lambert, G., Ros, D., Sebban, S., Velarde, P.: Comparison of natural and forced amplification regimes in plasma-based soft-X-ray lasers seeded by high-order harmonics. Phys. Rev. A 84, 013811 (2011)
Siegman, A.E.: Lasers. University Science Books, California (1986)
Svelto, O.: Principles of Lasers, 4th edn. Springer, New York (1998)
Svelto, O., Taccheo, S., Svelto, C.: Analysis of amplified spontaneous emission: some corrections to the Linford formula. Opt. Commun. 149, 277–282 (1998)
Sznitko, L., Mysliwiec, J., Karpinski, P., Palewska, K., Parafiniuk, K., Bartkiewicz, S., Rau, I., Kajzar, F., Miniewicz, A.: Biopolymer based system doped with nonlinear optical dye as a medium for amplified spontaneous emission and lasing. Appl. Phys. Lett. 99, 031107 (2011)
Tallents, G.J.: The physics of soft X-ray lasers pumped by electron collisions in laser plasmas. J. Phys. D Appl. Phys. 36, R259–R276 (2003)
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Ghani Moghadam, G., Farahbod, A.H. General formula for calculation of amplified spontaneous emission intensity. Opt Quant Electron 48, 227 (2016). https://doi.org/10.1007/s11082-016-0505-2
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DOI: https://doi.org/10.1007/s11082-016-0505-2