Abstract

Third-harmonic-generation processes in crystals are governed by the fourth-rank tensor χijkl(3), which reflects the crystal symmetry. In this case, the third-order nonlinear susceptibility tensor can be contracted to the compact matrix form χim(3). The matrices χim(3) for isotropic media and all 32 crystallo-graphic point groups are presented. With these matrices, the analytic expressions of third-order effective nonlinear susceptibility can be easily derived.

© 1995 Optical Society of America

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