Journal of Nanomaterials

Research Article

Harmonic Generation and Wave Mixing in Confinement Structures: An Account of Pump Depletion in Second-Order Nonlinear Multilayer Microcavities

Table 1

β€œNonlinear layer solutions” (Equations number are below each one).
Without pump depletionWith pump depletion
Non-phase matchingNMNDNMWD
 1 𝐸 ( 𝑧 ) = 2 πœ‹ 𝑛 p πœ† p πœ’ ( 2 )  𝐸 2 P 𝑒 ( 0 ) βˆ’ 𝑖 Ξ” π‘˜ 𝑧 βˆ’ 1 Ξ” π‘˜  ξ‚™ 𝐸 ( 𝑧 ) = 𝑛 P 𝑛  𝐸 P  1 ( 0 ) t a n h 2 πœ‹ √ 𝑛 𝑛 P πœ† p πœ’ ( 2 )  𝐸 P 𝑒 ( 0 ) βˆ’ 𝑖 Ξ” π‘˜ 𝑧 βˆ’ 1 ξƒ­ Ξ” π‘˜
(*)(**)
Phase matchingPMNDPMWD
 1 𝐸 ( 𝑧 ) = βˆ’ 𝑖 2 πœ‹ 𝑛 p πœ† P πœ’ ( 2 )  𝐸 2 P ( 0 ) 𝑧   𝐸 𝐸 ( 𝑧 ) = P ξ‚Έ 1 ( 0 ) t a n h βˆ’ 𝑖 2 πœ‹ 𝑛 P πœ† p πœ’ ( 2 )  𝐸 P ξ‚Ή ( 0 ) 𝑧
(***)(****)