What do you mean by "the displacement of the output wavelength"? Do you mean a wavelength shift away from some supposed "ideal" value calculated with (e.g.) an infinite substrate? Or something else?
In general, I suppose the answer would be "yes", but whether the shift is significant or not would depend on the PC structure, and the intended wavelength sensitivity of the application involved.
I would say for most purposes the thickness of the substrate won’t matter. Having a substrate implies some sort of planar photonic crystal, and in general those devices don’t propagate light through the substrate. The substrate or some structure above the substrate acts as a confining surface, a mirror or one side of a waveguide. In that case there will be, at most, an evanescent wave penetrating into the substrate but falling off exponentially with a penetration depth proportional to the wavelength. For the substrate thickness to matter it would have to be as thin as a few penetration depths or thinner. Substrates are never that thin.
Maybe it can change the intensity of transmitted optical mode (loss), but it has no effect on displacement of the transmitted optical mode wavelength. The Transmitted wavelength depends on the defects of the photonic crystal structure and also the refractive index of the environment around the structure (due to the change of effective refractive index).
Maybe it can change the intensity of transmitted optical mode (loss), but it has no effect on displacement of the transmitted optical mode wavelength. The Transmitted wavelength depends on the defects of the photonic crystal structure and also the refractive index of the environment around the structure (due to the change of effective refractive index).
Maybe it can change the intensity of transmitted optical mode (loss), but it has no effect on displacement of the transmitted optical mode wavelength. The Transmitted wavelength depends on the defects of the crystal structure and also the refractive index of the environment around the structure (due to the change of effective refractive index).
Maybe it can change the intensity of transmitted optical mode (loss), but it has no effect on displacement of the transmitted optical mode wavelength. The Transmitted wavelength depends on the defects of the photonic crystal structure and also the refractive index of the environment around the structure (due to the change of effective refractive index).
Maybe it can change the intensity of transmitted optical mode (loss), but it has no effect on displacement of the transmitted optical mode wavelength. The Transmitted wavelength depends on the defects of the photonic crystal structure and also the refractive index of the environment around the structure (due to the change of effective refractive index).
Maybe it can change the intensity of transmitted optical mode (loss), but it has no effect on displacement of the transmitted optical mode wavelength. The Transmitted wavelength depends on the defects of the photonic crystal structure and also the refractive index of the environment around the structure (due to the change of effective refractive index).