Rodger returned to Glasgow in 1934 as Deputy Superintendent of the Royal Mental Hospital and Assistant Lecturer in Psychiatry at the University. He remained there until 1940, when he joined the Royal Army Medical Corps as a Specialist in Psychiatry. By 1944, he was Consultant in Psychiatry with the rank of Brigadier, and was stationed in India and the South East Asia Command area. He increased the profile of psychiatry within military medicine and established psychiatry as an important tool in selection of officers. After the War, in 1945, he returned to Scotland as Senior Commissioner of the General Board of Control for Scotland, but retained his connection to the Army throughout his life. In 1948, he was appointed to the new Chair of Psychological Medicine at the University of Glasgow. He developed his unit at Glasgow's Southern General Hospital into a strong component of the University's Medical School, and was instrumental in developing it into a leader in the development of psychiatry within hospitals and the combination of psychological medicine with neurological sciences. In 1972, the unit was formed into the Institute of Neurological Sciences, where the Glasgow Coma Scale was devised by Graham Teasdale and Bryan J. Jennett in 1974. He was an external examiner at Edinburgh and Leeds Universities. Rodger served on a number of government committees as well as the Committee on Mental Health of the World Health Organisation. He was Chairman of the Scottish Division of the Royal Medico-Psychological Association in 1962 and President of the Association nationally in 1965, and was awarded an honorary fellowship in 1972 for his efforts during its application to become a Royal College. He was appointed CBE in 1967.
Publications
Notes on Psychological Medicine, with Ian Ingram, Robert Mowbray and Gerald Timbury
Psychology in Relation to Medicine, with Robert Mowbray
Rodger fell ill in 1972 and retired from the Chair at Glasgow the following year. He was succeeded by Sir Michael Bond, previously a lecturer in neurosurgery at the university, who was knighted in 1995 for services to medicine. Bond retired in 1998, and the Chair is currently vacant.
Personal life
Rodger married Jean Chalmers in 1934, with whom he had two sons and a daughter. His son, Alan, was Lord President of the Court of Session, the head of Scotland's judiciary, from 1996 to 2001, and served as a judicial member of the House of Lords and subsequently Justice of the Supreme Court of the United Kingdom until his death in 2011; his daughter is a consultant physician. The family lived in Bearsden, an affluent suburb of Glasgow.