RT Journal Article T1 Holographic Fabry-Perot spectrometer A1 Martínez Matos, Óscar A1 Rodrigo Martín-Romo, José Augusto A1 Vaveliuk, Pablo A1 Calvo Padilla, María Luisa AB We propose a spectrum analyzer based on the properties of a hologram recorded with the field transmitted by a Fabry-Perot etalon. The spectral response of this holographic Fabry-Perot spectrometer (HFPS) is analytically investigated in the paraxial approximation and compared with a conventional Fabry-Perot etalon of similar characteristics. We demonstrate that the resolving power is twice increased and the free spectral range (FSR) is reduced to one-half. The proposed spectrometer could improve the operational performance of the etalon because it can exhibit high efficiency and it would be insensible to environmental conditions such as temperature and vibrations. Our analysis also extends to another variant of the HFPS based on holographic multiplexing of the transmitted field of a Fabry-Perot etalon. This device increases the FSR, keeping the same HFPS performance. PB Optical Society of America SN 0146-9592 YR 2011 FD 2011-02-15 LK https://hdl.handle.net/20.500.14352/44154 UL https://hdl.handle.net/20.500.14352/44154 LA eng NO © 2011 Optical Society of America.We thank A. Cámara Iglesias for valuable discussions and advice. Financial support from the Spanish Ministry of Science and Innovation under project TEC 2008-04105 is acknowledged. P.Vaveliuk acknowledges Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq), Brazil, for financial support. NO Ministerio de Ciencia e Innovación, España NO Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq), Brazil DS Docta Complutense RD 7 jul 2025