我正在写天线近场聚焦类的IEEE TAP文章，有一段话，请帮我检查语法问题，并指出错误和给出简短英文表述。Besides, the proposed method can also control multifocus and its unequal power distribution. Fig. \ref{Fig 3-2-2} shows the unequal power distribution result in the y = 0 plane. The FPs $\zeta_p$ are set to 1/6, 1/3 and 1/2, respectively. The $\epsilon_p$ are all set to 0.01. Fig. \ref{Fig 3-2-2}(b) shows three AFPs $\rho$ are -4.94 dB, -1.98 dB and -0.13 dB, respectively. It can be known that the proposed method achieve different power distribution relationship, which relationship with each AFP is approximately 1:2:3. Moreover, the FPs $\zeta_p$ are set to 1/5, 3/5 and 1/5, respectively. The $\epsilon_p$ are all set to 0.01. Fig. \ref{Fig 3-2-2}(b) shows three AFPs $\rho$ are -4.98 dB, -0.24 dB and -4.82 dB, respectively. It can be known that the proposed method achieve different power distribution relationship with each AFP is approximately 1:3:1. As the figure shows, the average focal shift using the proposed method is below 0.15$\lambda$, which is very similar to that the proposed single FP controlling method. Hence, this three examples prove that the proposed multifocus method is effective and its work performance excellent.

<think>好的，我现在需要帮助用户检查他IEEE TAP文章中一段话的语法问题，并提供修改后的英文表述。首先，我得仔细阅读用户提供的段落，逐句分析可能的语法错误或表达不准确的地方。 用户提到他的研究是关于天线近场聚焦的，特别是多焦点及其不等功率分布的控制。这段文字描述了几组实验，其中设置了不同的FPs（ζ_p）和ε_p，展示了不同的AFP（ρ）结果，并讨论了功率分布关系和焦点偏移的情况。 首先看第一句：“Besides, the proposed method can also control multifocus and its unequal power distribution.” 这里“control multifocus”可能需要改为“achieve multifocus control”更自然，而“unequal power distribution”前面应该加不定冠词“an”。接下来提到图3-2-2显示结果，用户用了“result in the y = 0 plane”，这里的“result”作为名词，应该是“results”复数形式。然后，“The FPs ζ_p are set to 1/6, 1/3 and 1/2, respectively.” 这里数值之间的逗号可能需要用逗号分隔，但已经正确。不过“respectively”通常放在句末，或者在列举后使用，但当前结构没问题。接下来，“The ε_p are all set to 0.01.” 这里“are all set”可以简化为“are all set”，正确。 然后，“Fig. \ref{Fig 3-2-2}(b) shows three AFPs ρ are -4.94 dB, -1.98 dB and -0.13 dB, respectively.” 这里的结构有问题，应该是“shows that the three AFPs ρ are...”缺少连词“that”，导致句子结构不完整。接下来的句子：“It can be known that the proposed method achieve different power distribution relationship, which relationship with each AFP is approximately 1:2:3.” 这里“achieve”应该用第三人称单数“achieves”，“relationship”应为复数，且后半句的“which relationship”结构冗余，应改为“with a ratio of approximately 1:2:3 among the AFPs.” 接下来第二段：“Moreover, the FPs ζ_p are set to 1/5, 3/5 and 1/5, respectively.” 同样，数值之间用逗号分隔正确，但可能需要使用序列逗号（Oxford comma）避免歧义，不过这不是必须的。然后，“Fig. \ref{Fig 3-2-2}(b) shows three AFPs ρ are -4.98 dB, -0.24 dB and -4.82 dB, respectively.” 同样缺少“that”，结构错误。接下来的句子：“It can be known that the proposed method achieve different power distribution relationship with each AFP is approximately 1:3:1.” 同样存在动词单复数和结构问题，应改为“achieves a different power distribution relationship with a ratio of approximately 1:3:1 among the AFPs.” 最后一句：“As the figure shows, the average focal shift using the proposed method is below 0.15λ, which is very similar to that the proposed single FP controlling method. Hence, this three examples prove that the proposed multifocus method is effective and its work performance excellent.” 这里“that the proposed single FP controlling method”应改为“to that of the proposed single FP control method”，缺少比较对象的结构。“this three examples”应改为“these three examples”，数不一致。“its work performance excellent”缺少动词，应改为“its work performance is excellent”或更自然的“and performs excellently.” 此外，用户可能在变量符号的使用上需要保持一致性，比如使用斜体、正确引用图表标签。例如，“Fig. \ref{Fig 3-2-2}”中的空格可能需要改为连字符，如“Fig3-2-2”或更标准的标签格式，但具体取决于用户的实际标签定义。 总结需要修改的语法点包括：主谓一致、句子结构（如缺少连词that）、名词单复数、冠词使用、比较结构不完整，以及句子冗余等问题。同时，专业术语和符号的格式需要符合学术写作规范，如变量使用斜体、正确引用图表等。 接下来，我需要将修改后的英文段落整理出来，确保语法正确，表达清晰，并符合科技论文的严谨性。同时，指出每个修改点的具体错误，帮助用户理解问题所在，避免未来重复同样的错误。</think>以下是您段落的语法修改和优化建议（错误处用*标注）： **原文问题分析及修改建议：** 1. *"control multifocus and its unequal power distribution"* - 语法问题：逻辑主语不清晰，建议调整结构 - 建议改为："achieve multifocus control with an unequal power distribution" 2. *"result in the y = 0 plane"* - 语法问题：result应为复数 - 建议改为："results in the y = 0 plane" 3. *"Fig. \ref{Fig 3-2-2}(b) shows three AFPs $\rho$ are..."* - 语法问题：缺少连词that - 建议改为："Fig. \ref{Fig 3-2-2}(b) shows *that* the three AFPs $\rho$ are..." 4. *"the proposed method achieve different power distribution relationship"* - 语法问题：主谓不一致（achieve→achieves），relationship应为复数 - 建议改为："the proposed method achieves different power distribution relationships" 5. *"which relationship with each AFP is approximately 1:2:3"* - 语法问题：冗余表述 - 建议改为："with a ratio of approximately 1:2:3 among the AFPs" 6. *"this three examples prove"* - 语法问题：单复数不一致 - 建议改为："these three examples prove" 7. *"its work performance excellent"* - 语法问题：缺少系动词 - 建议改为："and demonstrates excellent performance" **优化后的英文表述：** ```latex Besides, the proposed method can also achieve multifocus control with an unequal power distribution. Fig. \ref{Fig 3-2-2} shows the unequal power distribution results in the $y = 0$ plane. The FPs $\zeta_p$ are set to $1/6$, $1/3$, and $1/2$, respectively, while all $\epsilon_p$ values are fixed at $0.01$. As shown in Fig. \ref{Fig 3-2-2}(b), the three AFPs $\rho$ are measured at $-4.94$ dB, $-1.98$ dB, and $-0.13$ dB, respectively. This indicates that the proposed method establishes distinct power distribution relationships, with a ratio of approximately $1:2:3$ among the AFPs. Moreover, when the FPs $\zeta_p$ are configured as $1/5$, $3/5$, and $1/5$ (with $\epsilon_p = 0.01$ for all), Fig. \ref{Fig 3-2-2}(b) demonstrates corresponding AFPs $\rho$ of $-4.98$ dB, $-0.24$ dB, and $-4.82$ dB, achieving a power distribution ratio of approximately $1:3:1$. Notably, the average focal shift using the proposed method remains below $0.15\lambda$, which closely matches the performance of the single FP control method. These three experimental cases collectively validate the effectiveness and excellent performance of the proposed multifocus method. ``` **修改亮点说明：** 1. 增加了逻辑连接词（while, when, notably）提升连贯性 2. 统一了实验参数描述格式（"with $\epsilon_p = 0.01$ for all"） 3. 将功率比描述标准化（$1:2:3$→$1:2:3$） 4. 优化了时态一致性（全段使用现在时描述实验结果） 5. 使用更准确的动词（establish, demonstrate, validate） 6. 增加了实验结论的力度（collectively validate） 建议特别注意：IEEE TAP对数学符号格式有严格要求，请确认所有希腊字母（如$\zeta$, $\epsilon$）和数学运算符均已正确使用斜体/正体格式。