Franz Andreas Bauer (later Francis) (14 March 1758 – 11 December 1840) was an Austrian microscopist and botanical artist.

After Lucas Bauer's death, his wife, Therese continued to give her three sons lessons in art and illustration.

Francis and Ferdinand acquired their first experience of botanical illustration with the arrival of Father Norbert Boccius, Abbot of Feldsberg, in 1763, and produced over 2,000 watercolour drawings of plant specimens under his guidance.

By 1790, Bauer had settled in at Kew, and was involved in detailed paintings and drawings of flower dissections, often at microscopic level, and taking great care in the hand-colouring of lithographic copies of his work.

During this time he tutored Queen Charlotte, Princess Elizabeth and William Hooker in the art of illustration, and often entertained friends and botanists at his home.