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A method enables thrust to be generated from a gas turbine engine using a pulse detonation system is provided. The engine includes an inlet portion and an exhaust portion, and the pulse detonation system includes a multi-staged pulse detonation augmentor including predetonator. The method comprises

A method enables thrust to be generated from a gas turbine engine using a pulse detonation system is provided. The engine includes an inlet portion and an exhaust portion, and the pulse detonation system includes a multi-staged pulse detonation augmentor including predetonator. The method comprises supplying a less than stoichiometric fuel/air mixture to the pulse detonation system during a first operating stage, detonating the fuel/air mixture with the predetonator to increase the temperature and pressure within the engine and to generate engine thrust, and supplying additional fuel and air to the pulse detonation system during a second operating stage.

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1. A method for generating thrust from a gas turbine engine using a pulse detonation system, the engine including an inlet portion and an exhaust portion, the pulse detonation system including a multi-staged pulse detonation augmentor including a predetonator, said method comprising:supplying a less

1. A method for generating thrust from a gas turbine engine using a pulse detonation system, the engine including an inlet portion and an exhaust portion, the pulse detonation system including a multi-staged pulse detonation augmentor including a predetonator, said method comprising:supplying a less than stoichiometric fuel/air mixture to the pulse detonation system during a first operating stage; detonating the fuel/air mixture with the predetonator to increase the temperature and pressure within the engine and to generate engine thrust; and supplying additional fuel and air to the augmentor during a second operating stage. 2. A method in accordance with claim 1 wherein the engine also includes a core engine and a bypass duct, said supplying additional fuel and air to the pulse detonation system comprises supplying additional fuel and air to the augmentor through an annular chamber positioned downstream from the core engine.3. A method in accordance with claim 1 wherein the engine also includes a core engine and a bypass duct, said supplying additional fuel and air to the augmentor comprises supplying additional fuel and air to the pulse detonation system through a annular chamber positioned downstream from the core engine such that a plurality of chutes defined within the annular chamber receive fluid flow discharged from the core engine, and such that a plurality of chutes defined within the annular chamber received fluid flow discharged from the bypass duct.4. A method in accordance with claim 1 wherein supplying additional fuel and air to the augmentor during a second operating stage comprises supplying additional fuel to the augmentor through a plurality of fuel atomizing spray nozzles.5. A method in accordance with claim 1 further comprising adjusting a relative position of a variable exhaust nozzle to facilitate enhanced thrust production by the pulse detonation system.6. A pulse detonation system for a gas turbine engine including a core engine, said pulse detonation system downstream from the core engine and configured to create a temperature rise and a pressure rise within the gas turbine engine and to increase engine thrust, said pulse detonation system comprising a multi-staged pulse detonation augmentor comprising a predetonator operable with at least a first operating stage wherein a less-than-stoichiometric fuel-air mixture is provided to said predetonator.7. A pulse detonation system in accordance with claim 6 wherein said augmentor further operable with at least a second operating stage during which a stoichiometric fuel-air mixture is provided to said augmentor.8. A pulse detonation system in accordance with claim 6 wherein said augmentor facilitates producing modulated thrust from the gas turbine engine.9. A pulse detonation system in accordance with claim 6 wherein the gas turbine engine includes centerbody extending aftward from the core engine, said pulse detonation augmentor further comprises an annular combustion chamber extending circumferentially around the engine centerbody.10. A pulse detonation system in accordance with claim 9 wherein said annular combustion chamber is radially outwardly from the engine centerbody and comprises a plurality of axial chutes.11. A pulse detonation system in accordance with claim 9 wherein said annular combustion chamber comprises a plurality of first axial chutes and a plurality of second axial chutes, said first axial chutes in flow communication with fluid flow exiting the core engine, said second axial chutes in flow communication with fluid flow bypassing the core engine.12. A pulse detonation system in accordance with claim 11 wherein each said first axial chute is between a pair of circumferentially adjacent second axial chutes.13. A pulse detonation system in accordance with claim 11 wherein said pulse detonation augmentor further comprises a plurality of fuel atomizing spray nozzles for supplying fuel downstream from the core engine.14. A gas turbine engine comprising:an inlet portion; an exhaust portion positioned co-axially with said inlet portion; and a pulse detonation system positioned between said inlet and exhaust portions, said pulse detonation system configured to create a temperature rise and a pressure rise within said engine and to increase engine thrust, said pulse detonation system comprising a multi-staged pulse detonation augmentor comprising a predetonator that is operable with at least a first operating stage wherein a less-than-stoichiometric fuel-air mixture is provided to said augmentor. 15. A gas turbine engine in accordance with claim 14 further comprising a core engine configured to power said engine, and a by-pass duct to channel flow around said core engine, said pulse detonation system downstream from said core engine such that said pulse detonation system is in flow communication with said bypass duct and said core engine.16. A gas turbine engine in accordance with claim 15 further comprising a centerbody extending aftward from said core engine, said pulse detonation augmentor further comprises an annular combustion chamber extending circumferentially around said engine centerbody.17. A gas turbine engine in accordance with claim 16 wherein said annular combustion chamber comprises a plurality of first axial chutes and a plurality of second axial chutes, said first axial chutes in flow communication with said core engine, said second axial chutes in flow communication with said bypass duct.18. A gas turbine engine in accordance with claim 15 further comprising a variable exhaust nozzle downstream from said pulse detonation system.19. A gas turbine engine in accordance with claim 15 wherein said pulse detonation augmentor further comprises a plurality of fuel atomizing spray nozzles for supplying fuel to said pulse detonation system.20. A gas turbine engine in accordance with claim 15 wherein said augmentor facilitates producing modulated thrust from said gas turbine engine.