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Highly efficient single photon sources are of particular importance for quantum cryptography and quantum computation. Cavity-induced enhancement of spontaneous emission can improve photon generation efficiency in quantum-dot-based single photon sources dramatically. Using the eigenmode-technique, the authors calculate the 3-D distribution of the optical electromagnetic field inside a RCLED-type single photon source and consequently the Purcell-factor as a function of the wavelength. Under systematic variation of device design parameters such as cavity length and aperture diameter, an optimized device design was determined, providing Purcell-factors up to 5.5.