X. On the application of fourier's double integrals to optical problems | Zendy

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X. On the application of fourier's double integrals to optical problems

Author(s) -

Charles Godfrey

Publication year - 1901

Publication title -

philosophical transactions of the royal society of london series a containing papers of a mathematical or physical character

Language(s) - English

Resource type - Journals

eISSN - 2053-9258

pISSN - 0264-3952

DOI - 10.1098/rsta.1900.0031

Subject(s) - simple (philosophy) , fourier transform , sine , motion (physics) , sine wave , interference (communication) , representation (politics) , natural (archaeology) , physics , simple harmonic motion , object (grammar) , classical mechanics , mathematical analysis , theoretical physics , optics , mathematics , quantum mechanics , computer science , geometry , telecommunications , philosophy , channel (broadcasting) , archaeology , epistemology , voltage , artificial intelligence , politics , political science , law , history

1. The object of the following work is to make some progress with the mathematical representation of the motions which go to compose natural light. 2. It has always been recognised that interference phenomena forbid us to regard any natural radiation as consisting of an unending train of simple waves, such as may he represented by sine functions. At the same time, the equations of optics find their simplest solution in circular functions. It is desirable to enquire how far we may resolve a natural luminous motion with a sum of simple wave-trains by means of Fourier’s “Theorem of Double Integrals.” This procedure was first suggested by Gouy.

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