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Noncommercial License, which permits any noncommercial use, distribution, and reproduction in
any medium, provided the original author(s) and source are credited.
References
1. Pa ´zsit I, Ceder M, Kuang Z (2004) Theory and analysis of the Feynman-alpha method for
deterministically and randomly pulsed neutron sources. Nucl Sci Eng 148:67–78
2. Pa ´zsit I, Kitamura Y, Wright J, Misawa T (2005) Calculation of the pulsed Feynman-alpha
formulae and their experimental verification. Ann Nucl Energy 32:986–1007
3. Kitamura Y, Taguchi K, Misawa T, Pa ´zsit I, Yamamoto A, Yamane Y, Ichihara C,
Nakamura H, Oigawa H (2006) Calculation of the stochastic pulsed Rossi-alpha formula and
its experimental verification. Prog Nucl Energy 48:37–50
4. Mun ˜oz-Cobo JL, Pen ˜a J, Gonza ´lez E (2008) Rossi-α and Feynman Y functions for
non-Poissonian pulsed sources of neutrons in the stochastic pulsing method: application to
subcriticality monitoring in ADS and comparison with the results of Poissonian pulsed neutron
sources. Ann Nucl Energy 35:2375–2386
5. Mun ˜oz-Cobo JL, Rugama Y, Valentine TE, Mihalczo JT, Perez RB (2001) Subcritical
reactivity monitoring in accelerator-driven systems. Ann Nucl Energy 28:1519–1547
6. Rugama Y, Mun ˜oz-Cobo JL, Valentine TE (2002) Modal influence of the detector location for
the noise calculation of the ADS. Ann Nucl Energy 29:215–234
7. Ballester D, Mun ˜oz-Cobo JL (2006) The pulsing CPSD method for subcritical assemblies
driven by spontaneous and pulsed sources. Ann Nucl Energy 33:281–288
8. Degweker SB, Rana YS (2007) Reactor noise in accelerator driven systems: II. Ann Nucl
Energy 34:463–482
9. Sakon A, Hashimoto K, Sugiyama W, Taninaka H, Pyeon CH, Sano T, Misawa T, Unesaki H,
Ohsawa T (2013) Power spectral analyses for a thermal subcritical reactor system driven by a
pulsed 14 MeV neutron source. J Nucl Sci Technol 50:481–492
10. Endo T, Yamane Y, Yamamoto A (2006) Space and energy dependent theoretical formula for
the third order neutron correlation technique. Ann Nucl Energy 33:521–537
11. Mun ˜oz-Cobo JL, Bergo ¨lf C, Pen ˜a J, Gonza ´lez E, Villamarı ´n D, Bournos V (2011) Feynman-α
and Rossi-α formulas with spatial and modal effects. Ann Nucl Energy 38:590–600
12. Yamamoto T (2011) Higher order mode analyses in Feynman-α method. Ann Nucl Energy
38:1231–1237
13. Yamamoto T (2013) Energy-higher order mode analyses in Feynman-α method. Ann Nucl
Energy 57:84–91
14. Yamamoto T (2014) Frequency domain Monte Carlo simulation method for cross power
spectral density driven by periodically pulsed neutron source using complex-valued weight
Monte Carlo. Ann Nucl Energy 64:711–720
15. Yamamoto T (2014) Higher order mode analyses of power spectral density and Feynman-α
method in accelerator driven system with periodically pulsed spallation neutron source. Ann
Nucl Energy 66:63–73
16. Yamamoto T (2011) Higher order α mode eigenvalue calculation by Monte Carlo power
iteration. Prog Nucl Sci Technol 2:826–835
128
T. Yamamoto
Noncommercial License, which permits any noncommercial use, distribution, and reproduction in
any medium, provided the original author(s) and source are credited.
References
1. Pa ´zsit I, Ceder M, Kuang Z (2004) Theory and analysis of the Feynman-alpha method for
deterministically and randomly pulsed neutron sources. Nucl Sci Eng 148:67–78
2. Pa ´zsit I, Kitamura Y, Wright J, Misawa T (2005) Calculation of the pulsed Feynman-alpha
formulae and their experimental verification. Ann Nucl Energy 32:986–1007
3. Kitamura Y, Taguchi K, Misawa T, Pa ´zsit I, Yamamoto A, Yamane Y, Ichihara C,
Nakamura H, Oigawa H (2006) Calculation of the stochastic pulsed Rossi-alpha formula and
its experimental verification. Prog Nucl Energy 48:37–50
4. Mun ˜oz-Cobo JL, Pen ˜a J, Gonza ´lez E (2008) Rossi-α and Feynman Y functions for
non-Poissonian pulsed sources of neutrons in the stochastic pulsing method: application to
subcriticality monitoring in ADS and comparison with the results of Poissonian pulsed neutron
sources. Ann Nucl Energy 35:2375–2386
5. Mun ˜oz-Cobo JL, Rugama Y, Valentine TE, Mihalczo JT, Perez RB (2001) Subcritical
reactivity monitoring in accelerator-driven systems. Ann Nucl Energy 28:1519–1547
6. Rugama Y, Mun ˜oz-Cobo JL, Valentine TE (2002) Modal influence of the detector location for
the noise calculation of the ADS. Ann Nucl Energy 29:215–234
7. Ballester D, Mun ˜oz-Cobo JL (2006) The pulsing CPSD method for subcritical assemblies
driven by spontaneous and pulsed sources. Ann Nucl Energy 33:281–288
8. Degweker SB, Rana YS (2007) Reactor noise in accelerator driven systems: II. Ann Nucl
Energy 34:463–482
9. Sakon A, Hashimoto K, Sugiyama W, Taninaka H, Pyeon CH, Sano T, Misawa T, Unesaki H,
Ohsawa T (2013) Power spectral analyses for a thermal subcritical reactor system driven by a
pulsed 14 MeV neutron source. J Nucl Sci Technol 50:481–492
10. Endo T, Yamane Y, Yamamoto A (2006) Space and energy dependent theoretical formula for
the third order neutron correlation technique. Ann Nucl Energy 33:521–537
11. Mun ˜oz-Cobo JL, Bergo ¨lf C, Pen ˜a J, Gonza ´lez E, Villamarı ´n D, Bournos V (2011) Feynman-α
and Rossi-α formulas with spatial and modal effects. Ann Nucl Energy 38:590–600
12. Yamamoto T (2011) Higher order mode analyses in Feynman-α method. Ann Nucl Energy
38:1231–1237
13. Yamamoto T (2013) Energy-higher order mode analyses in Feynman-α method. Ann Nucl
Energy 57:84–91
14. Yamamoto T (2014) Frequency domain Monte Carlo simulation method for cross power
spectral density driven by periodically pulsed neutron source using complex-valued weight
Monte Carlo. Ann Nucl Energy 64:711–720
15. Yamamoto T (2014) Higher order mode analyses of power spectral density and Feynman-α
method in accelerator driven system with periodically pulsed spallation neutron source. Ann
Nucl Energy 66:63–73
16. Yamamoto T (2011) Higher order α mode eigenvalue calculation by Monte Carlo power
iteration. Prog Nucl Sci Technol 2:826–835
128
T. Yamamoto