Default Galaxy S4 Official Extended Battery Kit ?

S2 2000mah
S3 has 3000mah official "extended battery kit " by samsung.
We are need 3000-3100-3300mah battery, we don't need 5200-7500 mah battery with back cover.
Galaxy S4 is stock thickness size 7.9mm, but 5200mah battery 16mm thickness .

Do you see 3000-3500mah battery with back cover for s4?