[OPTICAL REVIEW Vol. 2, No. 5 (1995) 331-333]

Algebraically Decaying Modes in Many Dimensions: Application of Fubini's Identity to Guided-Wave Optics

Kazuya HAYATA and Masanori KOSHIBA

Department of Electronic and Information Engineering, Hokkaido University, Sapporo, 060 Japan

(Received May 23, 1995; Accepted July 26, 1995)

We show analytically that application of an identity in conformal invariant field theories to multidimensional guided-wave optics predicts a generic family of modes with algebraic (power-law) tails in the evanescent field.

Key words : algebraically decaying mode, weakly localized wave, long-range evanescent field, critical phenomena, Fubini's identity, scalar wave theory