Balthasar van der Pol
|Balthasar van der Pol|
|Born||27 January 1889|
|Died||6 October 1959 (aged 70)|
|Alma mater||Utrecht University|
|Known for||Van der Pol oscillator|
|Doctoral advisor||Willem Henri Julius|
Van der Pol began his studies of physics in Utrecht in 1911. J. A. Fleming offered van der Pol the use of the Pender Electrical Laboratory at University College for a study of the heuristics of wireless reception on board ships. In England he also worked with J. J. Thomson. Upon his return to Holland, Balthsar worked with Hendrick Lorentz at Teylers Stichting. For his thesis he wrote The effect of an ionised gas on electro-magnetic wave propagation and its application to radio, as demonstrated by glow-discharge measurement under the supervision of Willem Henri Julius. He was awarded his Ph.D. in 1920. He joined Philips Research Laboratories in 1921, where he worked until his retirement in 1949.
As observed by Hendrik Casimir, "Radio might have remained a field of haphazard empiricism along with wild commercial ventures, but for the influence of men like Van der Pol who stressed the need for a more scientific approach."
The differential equations of coupled electrical systems drew his interest, and he developed the idea of "relaxation oscillations". With J. van der Mark he applied the idea to the heartbeat. which provided one of the earliest quantitative models of the action potential. These studies led him to the van der Pol equation and Oliver Heaviside’s operational calculus for dealing with differential equations. He submitted articles to Philosophical Magazine on the operational calculus and, in coordination with H. Bremmer, wrote Modern Operational Calculus based on the Two-sided Laplace Integral, published by Cambridge University Press.
- 1928: (with J van der Mark) The Heartbeat considered as a Relaxation oscillation, and an Electrical Model of the Heart. Phil. Mag. Suppl. No. 6 pp 763–775
- 1947: An electro-mechanical investigation of the Riemann zeta function in the critical strip, Bulletin of the American Mathematical Society 53: 976–81 MR0022712
- 1964: (with H. Bremmer) Operational Calculus Cambridge University Press
- 1960: Selected Scientific Papers, North-Holland Two volumes
- B. van der Pol (1917) "A note on the relation of the audibility factor of a shunted telephone to the antenna circuit as used in the reception of wireless signals", Philosophical Magazine 34: 184–8
- De invloed van een geioniseerd gas op het voortschrijden van electromagnetische golven en toepassingen daarvan op het gebied der draadlooze telegraphie en bij metingen van glimlichtontladingen
- Hendrik Casimir (1960) "Introduction" to Balthasar van der Pol: Selected Scientific Papers, North-Holland
- B. van der Pol (1926) "On relaxation-oscillations", Philosophical Magazine 2: 978–92
- Jean-Marc Ginoux (2012) "Van der Pol and the history of relaxation oscillations: Toward the emergence of a concept", Chaos 22 doi:10.1063/1.3670008
- B. van der Pol and J. van der Mark (1929) "The heartbeat considered as a relaxation-oscillation, and an electrical model of the heart", Philosophical Magazine 6: 673–75
- "Balthasar van der Pol (1889 - 1959)". Royal Netherlands Academy of Arts and Sciences. Retrieved 3 August 2015.
- December 1917: Balth van der Pol, Personalities in Wireless, Wireless World, page 592.
- H Bremmer (1960,1) The Scientific Work of Balthasar van der Pol, Philips Technical Review 22
- Dr. Balthsar van der Pol (1889-1959) from Philips archives
- Giorgio Isreal (2004) "Technological Innovation and New Mathematics: van der Pol and the birth of non-linear dynamics", pages 52 to 77 in Technological Concepts and Mathematical Models in the Evolution of Modern Engineering Systems, edited by Ana Milian Gasca and others, Birkhäuser
- Balthasar Van der Pol at IEEE.org
- Balthasar van der Pol at the Mathematics Genealogy Project