本文根据新近建立的多模辐射场的广义非线性等阶高阶压缩理论，对多模奇相干态光场｜Ψ，ｏ〉ｑ中的Ｎ次方Ｙ压缩、Ｎ次方Ｈ压缩、Ｎ－Ｙ最小测不准态以及Ｎ－Ｈ最小测不准态等进行了详细研究．结果表明：１）当压缩阶数Ｎ为偶数时，多模奇相干态｜Ψ，ｏ〉ｑ总是恒处于Ｎ－Ｙ最小测不准态；当Ｎ为奇数时，态｜Ψ，ｏ〉ｑ既不处于Ｎ－Ｙ最小测不准态，也不呈现Ｎ次方Ｙ压缩效应．２）当ｑ·Ｎ为偶数时，多模奇相干态｜Ψ，ｏ〉ｑ总是恒处于Ｎ－Ｈ最小测不准态；当ｑ·Ｎ为奇数时，态｜Ψ，ｏ〉ｑ既不处于Ｎ－Ｈ最小测不准态，也不呈现Ｎ次方Ｈ压缩效应．３）多模奇相干态｜Ψ，ｏ〉ｑ恒处于Ｎ－Ｙ最小测不准态与恒处于Ｎ－Ｈ最小测不准态的条件明显不同，两者存在着严格的区别 In this paper, according to the generalized nonlinear equal-order higher-order squeezing theory of multi-mode radiation field, N-th power Y-squeezing, N-th power H- Y minimum uncertainty state and N-H minimum uncertainty state were studied in detail. The results show that: 1) when the compressing order N is even, the multi-mode odd coherent states | Ψ, o> q are always in the N-Y minimum uncertainty state; when N is odd, the state | Ψ, o> q is neither in N-Y minimum undetermined state nor N-th power Y compression effect. 2) When q · N is even, the multimode odd coherent states | Ψ, o> q are always constant at the N-H minimum undetermined state; when q · N is odd, the state | Ψ, o> q is Not in the N-H minimum undetected state, nor the N-th power H compression effect. 3) Multi-mode odd coherent states | Ψ, o> q The conditions of constant N-Y minimum uncertainty and constant uncertainty at N-H are obviously different,