B. Roy Frieden

Bernard Roy Frieden (born September 10, 1936) is an American mathematical physicist.

Frieden obtained a Ph.D. in optics from The Institute of Optics at the University of Rochester. His doctoral thesis advisor was Robert E. Hopkins. He was elected a Fellow of the Optical Society of America, now known as Optica, in 1975; in 1988, he was elected a Fellow of SPIE.^[1][2] Frieden is now an emeritus professor of optical sciences at the University of Arizona.

Frieden is known for his pioneering work on laser beam shaping^[3] and was among the first to investigate the optical transfer function of a three-dimensional object.^[4] He was the first to apply Jaynes' maximum entropy principle to image restoration.^[5]

Selected publications

• Frieden, B. Roy (1965). "Lossless conversion of a plane laser wave to a plane wave of uniform irradiance". Appl. Opt. 4 (11): 1400–1403. Bibcode:1965ApOpt...4.1400F. doi:10.1364/AO.4.001400.
• Frieden, B. Roy (1967). "Optical Transfer of the Three-Dimensional Object". J. Opt. Soc. Am. 57 (1): 56–66. doi:10.1364/JOSA.57.000056. hdl:10150/621607.
• Frieden, B. Roy (1972). "Restoring with Maximum Likelihood and Maximum Entropy". J. Opt. Soc. Am. 62 (4): 511–518. doi:10.1364/JOSA.62.000511. PMID 5019595.

References

1. "Optica Fellows". Optica. Retrieved 2025-02-05.
2. "Complete List of SPIE Fellows". SPIE. Retrieved 2025-02-05.
3. Shealy, David L (2002). Dickey, Fred M.; Holswade, Scott C.; Shealy, David L. (eds.). "Historical perspective of laser beam shaping". Proc. SPIE. Laser Beam Shaping III. 4770: 28–47. Bibcode:2002SPIE.4770...28S. doi:10.1117/12.453505.
4. Sheppard, Colin J. R. (2000). "Three-dimensional transfer functions". Proc. SPIE. Sixth International Conference on Education and Training in Optics and Photonics. 3831: 166. Bibcode:2000SPIE.3831..166S. doi:10.1117/12.388717.
5. Petrovici, Mihai-Alexandru; Damian, Cristian; Coltuc, Daniela (2018). "Maximum Entropy Principle in Image Restoration". Advances in Electrical and Computer Engineering. 18 (2): 77–84. doi:10.4316/AECE.2018.02010.